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EXPLANATORY               HANDBOOK

                          ON

 INDIAN STANDARD CODE OF PRACTICE FOR
DESIGN LOADS (OTHER THAN EARTHQUAKE)
      FOR BUILDINGS AND STRUCTURES
                  PART 3 WIND LOADS
                [IS 875 (PART 3): 1987]




                        0 BIS 2001

       BUREAU     OF   IN DIAN       STANDARDS
       MANAK BHAVAN, 9 BAHADUR SHAH ZAFAR MARG
                   NEW DELHI 110002
SP 64 (S & T) :2001


FIRST PUBLISHED          DECEMBER        2001


Q BUREAU OF INDIAN STANDARDS



ISBN 81-7061 -053-4


PRICE : W 650.00


Typeset by Paragon Enterprises, New Delhi 110002

Printed in India
at Viba Press Pvt. Ltd., 122, DSIDC Shed, Okhla Industrial Area Phase-I, New Delhi- I 1002O
Published by
Bureau of Indian Standards, New Delhi 110002
Composition   of the Special Committee for Implementation   of Science and
                               Technology Projects (SCIP)



                                      Chairman
                          PADAMSHRI DR H. C. VISVESVARAYA
                                   Vice-chancellor
                                University of Roorkee
                                       Roorkee

          Members                                            Representing
DR T. V. S. R. APPA RAO                     Structural Engineering Research Centre (CSIR),
                                               Chennai
DIRECTOR                                    Central Building Research Institute, Roorkee
SHRI V. RAO AIYAGERI                        Department     of    Science   & Technology,
                                               New Delhi
ADDITIONAL DIRECTOR GENERAL (S&P)           Central Public Works Department, New Delhi
   CHIEF ENGINEER (DESIGNS) (Alternate)
SHRI S. K. DATTA                            Metallurgical   and Engineering Consultants
                                               (India) Ltd, Ranchi
SHRI l?. D. MAYEE                           Planning Commission, New Delhi
   SHRI UMESH KALRA (Altenzate)

                                   Member-Secretaries
                              SHRIMATI NEETA SHARMA
                              Deputy Director (S&T), BIS

                              SHRIMATI RACHNA SEHGAL
                            Deputy Director (Civ Engg), BIS
As in the Original Standard, this Page is Intentionally Left Blank
FOREWORD

Users of various civil engineering codes have been feeling the need for explanatory handbooks and other
compilations based on Indian Standards. The need has been further emphasized in view of the publication of
the National Building Code of India in 1970 (which has since been revised in 1983) and its implementation.
The Expert Group set up in 1972 by the Department of Science and Technology, Government of India carried
out in-depth studies in various areas of civil engineering and construction practices. During the preparation of
the Fifth Five-Year Plan in 1975, the Group was assigned the task of producing a Science and Technology Plan
for research, development and extension work in the sectors of housing and construction technology. One of
the items of this plan was the formulation of design handbooks, explanatory handbooks and design aids based
on the National Building Code and various Indian Standards and other activities in the promotion of the National
Building Code. The Expert Group gave high priority to this item and on the recommendation of the Department
of Science and Technology, the Planning Commission approved the following two projects which were assigned
to the Bureau of Indian Standards (erstwhile Indian Standards Institution) :
      a) Development programme on code implementation for building and civil engineering construction, and
     b) Typification for industrial buildings.

A Special Committee for Implementation of Science and Technology Projects (SCIP) consisting of experts
connected with different aspects was set up in 1974 to advise the BIS Directorate General in identifying
the handbooks and for guiding the development of the work. Under the first project, the Committee has
identified several subjects for preparing explanatory handbooks/compilations covering appropriate Indian
Standards/Codes/Specifications which include the following :

*Handbooks Published
      1. Design Aids for Reinforced Concrete to IS 456:1976 (SP 16: 1980)
      2. Handbook on Masonry Design and Construction (first revision) (SP 20: 1991)
      3. Summaries of Indian Standards for Building Materials (SP 21: 1983)
     4. Explanatory Handbook on Codes of Earthquake Engineering (IS 1893:1975 and IS 4326: 1976)
        (SP 22: 1982)
      5. Handbook on Concrete Mixes (SP 23: 1982)
      6. Explanatory Handbook on Indian Standard Code of Practice for Plain and Reinforced Concrete (IS 456:
         1978) (SP 24: 1983)
      7. Handbook on Causes and Prevention of Cracks in Buildings (SP 25: 1984)
      8. Handbook on Functional Requirements of Industrial Buildings (Lighting and Ventilation) (SP 32:
         1986)
      9. Handbook on Timber Engineering (SP 33: 1986)
    10. Hankbook on Concrete Reinforcement and Detailing (SP 34: 1987)
     Il. Handbook on Water Supply and Drainage with Special Emphasis on Plumbing (SP 35: 1987)
    12. Handbook on Typified Designs for Structures with Steel Roof Trusses (with and without Cranes) (based
        on IS Codes) (SP 38: 1987)
    13. Handbook on Structures with Steel Portal Frames (without Cranes) (SP 40: 1987)


* Hmdbooks publishedare available for sale from BIs Headquarters, and from all Branches and Regional, Offices of BIS.

                                                        (v)
14. Handbook on Functional Requirements of Buildings (Other than Industrial Buildings) (SP 41: 1987)
     15. Handbook on structures with Reinforced Concrete Portal Frames (without Cranes) (SP 43: 1987)
     16. Handbook on Structures with Steel Lattice Portal Frames (without Cranes) (SP 47: 1987)
     17. Handbook on Building Construction Practices (Other than Electrical Services) (SP 62: 1997)
     18. Handbook on Construction Safety Practices (SP 70: 2001)

This Handbook has been written with a view to provide detailed background information on the provision of
Indian Standard on Code of Practice for Design Loads (Other than Earthquake) for Buildings and Structures :
Part 3 Wind Loads [1S875 (Part 3): 1987] and also the use of standard for arriving at the wind loads on buildings
and structures while evaluating their structural safety. The Handbook will serve as a guide for all those engaged
in the structural design of wind sensitive buildlngs and structures due to their shape, slenderness, flexibility, size
and lightness.

It maybe noted that the Handbook does not form part of any Indian Standard on the subject and does not have
the status of an Indian Standard. Wherever, if there is any dispute about the interpretation or opinion expressed
in this Handbook, the provisions of the codes only shall apply; the provisions of this Hankbook should be
considered as only supplementary and informative.

The Handbook is based on the first draft prepared by Shri S.K. Agarwal, Head, Wind Engineering, SERC,
Ghaziabad. The draft Handbook was circulated for review to STUP Consultants Ltd, Mumbai; National Council
for Cement and Building Materials, New Delhi; Central Public Works Department, New Delhi; Indian Institute
of Technology, Chennai; Indian Institute of Technology, KanpuG Structural Engineering Research Centre,
Chennai; M.N. Dastur & Co Ltd, Kolkata; Meteorological Office, Pune; Indian Institute of Science, Bangalore;
University of Roorkee, Roorkee; Tandon Consultants Pvt Ltd, New Delhi; Central Electricity Authority, New
Delhi; Indian Institute of Technolo~y, Kharagpuq Indian Institute of Technology, New Delhi; Engineers India
Ltd, New Delhi; N.T.P.C., Noida; Ministry of Railways (RDSO), Lucknow; Department of Space, Bangalore;
Nuclear Power Corporation, Mumbai; Moti Lal Nehru Regional Engineering College, Allahabad; VaJcilMehta
Seth, Ahmedabad; Anna University, Chennai; UNITECH, New Delhi; Consulting Engineering Services (I) Pvt
Ltd, New Delhi; Tata Consulting Engineers, Mumbai; Housing &Urban Development Corporation, New Delhi;
National Institute of Construction Management and Research, Mumbai; Howe India (Pvt) Ltd, New Delhi; Army
Headquarters, New Delhi; Institution of Engineers, New Delhi; Gammons India Ltd, Mumbai; Central Building
Research Institute, Roorkee; Department of Science & Technology, New Delhi; Metallurgical& Engineering
Consultants (India) Ltd, Ranchi; Planning Commission, New Delhi; and views expressed by them were taken
into consideration while finalizing the Handbook.




                                                        (vi)
Contents
Clause                                                                            Page
O   INTRODUCTION                                                    ...     ...     1
    0.1   Background                                                ...     ...     1
    0.2   Nature of Wind                                            ...     ...     1
    0.3   Shortfalls of the1964 Code                                ...     ...    5
1   SCOPE                                                           ...     ...    8
2   TERMINOLOGY                                                     ...     ...    8
    2.1   Angle of Attack                                           ...     ...    8
    2.2   Breadth                                                   ...     ...    8
    2.3   Depth                                                     ...     ...    8
    2.4   Developed Height                                          ...     ...    8
    2.5   Effective Frontal Area                                    ...     ...    8
    2.6   Element Surface Area                                      ...     ..     8
    2.7   Force and Moment Coefficients                             ...     ...    9
    2.8   Ground Roughnes                                           ...     ...    9
    2.9   Gradient Height                                           ...     ...    9
    2.10 Pressure Coefficient                                       ...     ...    9
    2.11 Suction                                                    ...     ...    10
    2.12 Solidity Ratio’@’                                          .,.     ...    10
    2.13 Fetch Length                                               ...     ...    11
    2.14 Terrain Category                                           ...     ...    11
    2.15 Velocity Profile                                           ...     ...    11
    2.16 Topography                                                 ...     .,.    11
3   WINDSPEEDANDPRESSURE                                            ...     ...    11
    3.1   Basic Wind Speed                                          ...     ...    11
    3.2   Design Wind Speed                                         ...     ...    13
    3.3   Risk Coefficient                                          ...     ...    13
    3.4   Terrain, Height and Structure Size (k2Factor)             ...     ...    14
    3.5   Fetch and Developed Height Relationship                   ...     ...    14
    3.6   Topography (ks)                                           ...     ...    17
    3.7   Design Wind Pressure                                      ...     ...    17
4   WINDPRESSURE     ANDFORCES   ONBUILDINGS/STRUCTURES             ...     ..     18
    4.1   General                                                   ...     ...    18
    4.2   Pressure Coefficients                                     ...     ...    18
    4.3   Force Coefficients                                        ...     ...    19
5   DYNAMIC   EFFECTS                                               ... ,   ...    20
6   GUSTFACTOR     (Go ORGUSTEFFECTIVENESS      FACTOR  (GEF,) METHOD..     20
7   WINDTUNNEL      MODELSTUDIES                                    ...     ...    21
8   APPLICATIONFCODAL
                  O          PROVISIONS                             ...     ...    22
9   ASSESSMENT FWINDLOADS
                 O                ONBUILDINGS NDSTRUCTURES ...
                                                 A                          ...    29
    LIST OF SOLVED EXAMPLES ON
    Rectangular Clad Buildings                                      ...     ...    29
    Free Roof                                                       ...     ...    81
    Miscellaneous Structures (Force Coefficient Method)             ...     ...    91
    Miscellaneous Structures (Gust Factor Method)                   ...     ...    108



                                                 (vii)
SP 64 (S & T) :2001

O INTRODUCTION                                                  which approached or crossed the Indian coasts during
                                                                1890 to 1960, together with the wind data available
0.1 Background
                                                                from about 10-12 continuously recording Dynes Pres-
A large number of structures that are being constructed         sure Anemograph (DPA) stations which existed at that
at present tend to be wind-sensitive because of their           time, to get an overall picture for the country. However
shapes, slenderness, flexibility, size and lightness.           3-cup anemometer readings were not much used in the
Added to these are the use of a variety of materials            preparation of wind maps because much of such data
which are stressed to much higher percentage of their           were synoptic.
ultimate strength than in earlier days because of better
                                                                The height of DPA instruments varied from 10 m to
assurance of the quality of materials. In the social
                                                                30 m at different places. Therefore only one extreme
environment that is developing world over, the ancient
                                                                value of wind was given up to 30 m height from ground
philosophy of accepting continuing disasters due to
                                                                level without any variation in-between. Further, l/10th
wind as ordained by ‘fate’ and Gods is giving place to
                                                                power law had been adopted regardless of terrain
demands for economical wind resistant designs. These
                                                                conditions, for indicating variation of wind speed with
factors have demanded a more realistic, if not, precise
                                                                height from 30 m to 150 m, for which there was no
definition of wind loading. Updating of some
                                                                supportive evidence. The code gave two wind pressure
International Codes of practice, notably the British,
                                                                maps (one giving winds of shorter duration <5 minutes
Australian, Canadian, American and French has been
                                                                and another excludlng winds of shorter duration) and
effected fairly frequently over the last two decades and
                                                                there was no clear guidance for using either or both of
the present versions incorporate most of the advances
                                                                them.
made in understanding the wind characteristics and its
effect on structures. The new discoveries are such that         With the publication of the recent revised wind code,
it is clear that mere issue of amendments to the earlier        IS 875 (Part 3) : 1987, an attempt has been made to
wind Code IS 875 : 1964 will not be justifiable. The            remove these deficiencies and provide to the Indian
recently issued wind code ‘Code of practice for design          structural engineer adequate guidelines for arriving at
loads (other than earthquake) for buildings and                 more rational wind loading for design purposes.
structures’ IS 875 (Part 3): 1987 differs in many ways
from the previous Code first issued in 1964 and                 0.2 Nature of Wind
attempts not only to rectify the shortfalls of the 1964
                                                                0.2.1 Wind means the motion of air in the atmosphere.
code but incorporates recent knowledge of wind
                                                                The response of structures to wind depends on the
effects on structures. The height up to which velocities
                                                                characteristics of the wind. From the point of view of
are given has now been raised to 500 m and the
                                                                assessing wind load, it is convenient to divide the wind
loadings on as many of the commonly encountered
                                                                into two categories: ‘Rotating and Non-rotating’
buildings and structures, for which there are no other
                                                                winds. Rotating winds are caused by tropical cyclones
Indian Standards, have been included. Although not
                                                                and tornadoes. The wind speeds caused by these may
explicitly stated, the code recognizes the fact that most
                                                                exceed 200 kti. The duration of such winds at any
of the high winds in India occur due to short duration
                                                                Ioeation varies from 2 to 5 minutes in the case of
rotating winds like tropical cyclones along the Coasts
                                                                tornadoes and thunderstorms and about 3 to 4 days in
or Tornadoes elsewhere, and nearly rectilinear winds
                                                                case of tropical cyclones. Non-rotating winds are
of short duration like thunderstorms at many places. In
                                                                caused by differential pressures and thus move in
this respect, the high wind loading conditions in India
                                                                preferred direction. These are also called ‘Pressure
are different from those of temperate zone countries
                                                                System’ winds and when they persist for distances like
like Europe and Canada. Much of the random response
                                                                50-100 km, are termed as ‘Fully developed pressure
theories, which have been adopted in EuropanA-J.S. or
                                                                system winds’. The intensity of such winds is usual]y
Australian Codes are based on these ‘fully developed
                                                                given in Beaufort Scale as in Table 1 (other scales for
pressure winds’ or ‘pressure wind’ conditions and
                                                                particular types of winds like cyclones have also been
strictly cannot be applied in most parts of India. But
                                                                proposed). Thunderstorms are rectilinear winds of
their judicious use, in the absence of proper theories
                                                                high speed lasting only a few minutes and start as a
applicable to cyclones, tornadoes and thunderstorms
                                                                strong vertical downdraft, from clouds which spread
will give adequate safety margins and this is what the
                                                                laterally on reaching the ground. They last for 2 to
present 1S 875 (Part 3) :1987 attempts to do.
                                                                5 minutes and wind speed can exceed 200 km/h.
In India, success in satisfactory codification of wind
loading on structures has remained elusive so far. In           0.2.2 Gradient Winak
most cases, codification has followed, not preceded
                                                                Winds are primarily caused by the differences in
structural failures or distress. The wind maps given in
                                                                temperature over the earth’s surface because the
the 1964 version of the code had been prepared mainl y
                                                                intensity of the sun’s radiation received at different
on the basis of extreme value wind data from storms

                                                            1
SP 64 (S & T) :2001

latitudes varies, and land areas heat and cool quicker            0.2.3.1 Logarithmic profile
than the sea. Ocean currents also affect the temperature
distribution by transporting heat from one part of earth          The logarithmic profile of the variation of mean wind
to another. The differences in temperature give rise to           speed with height is given by
the gradients of pressure which set the air in motion.                V~F    = Ilk. lo& zI@                              ...(1)
Near the earth’s surface, the motion is opposed, and
the wind speed reduced, by the surface friction. At the
surface, the wind speed reduces to zero and then begins                     design wind velocity at height z,
to increase with height, and at some height, known as                       von Karman’s constant with a numerical
the gradient height, the motion may be considered to                        value of 0.4,
be free of the earth’s frictional influence and will attain                 height above ground
its ‘gradient velocity’. This velocity depends on the                       is the surface roughness parameter,
pressure variation at that height in the plane parallel to                  the friction velocity defined as ~,
the earth’s surface. The gradient height increases with                     the skin friction force on the wall, and
the roughness of the terrain on the earth’s surface and
is taken to vary from about 300 m for flat ground to                        the density of air.
about 550 m for very rough terrain, in the Indian and             0.2.3.2 Power luw
a few other national codes. Although, the gradient
height is confused in many codes to be the same as the            Another representation for the mean wind speed
edge of the earth’s (planetary) boundary layer, the two           profile is the simple power law expression:
heights are not identical. True gradient height lies well
above the edge of the earth’s boundary layer height.                  VziVR (?,kR)
                                                                           =    a                                        ...(2)
The Indian Code has adopted a carefully written                   where
definition to imply this difference.                               VR = the speed at a reference height ZR, usually
                                                                        taken as the standard meteorological height
0.2.3 Variation of Mean Wind Speed with Height
                                                                        of 10 m, and
At the earth’s surface the wind speed is zero and, in              a = a constant for a particular site and terrain.
conditions of neutral stability, there is a continuous            0.2.4 Nature of Wind Flow Past Bodies
increase of mean wind speed from the ground to the
gradient height. A number of laws for defining this               0.2.4.1 The nature of flow of a fluid past a body
wind speed profile have been suggested, the most                  resting on a surface depends on the conditions of the
widely used of which is the logarithmic profile. The              surface, the shape of the body, its height, velocity of
empirical power law profile is also used in many codes.           fluid flow and many other factors. The flow may be


                                    Table 1 Beaufort Scale for Wmd Speeda
                                                (Clause 0.2.1)

 Beaufort       Description                   speed                  Deacrtptionf Wind Effects
                                                                               o
    No.         of Wind                        ds
   o            Calm                           < r3.4                No noticeablewind
    1           Lightairs                     0.4-1.5                Barelynoticeablewind
    2           Lightbreeze                    1.6-3.3               Whrdfelt on face
    3           Gentlebreeze                  3.4-5.4                Windextendstightflag,hair is distuti, clothingflaps
    4           Moderatebreeze                5.5-7.9                Windraisesdust,dry soil,loosepaper,hair disarranged
    5           Freshbreeze                   8.0-10.7               Forceof windfelt on body, driftingsnow becomesair borne;
                                                                        timitof agreeablewindon land
    6           Srrongbreeze                  10.8-13.8              Umbrellasused with difficulty;hair blown straigh~dlftlculty
                                                                        in watking steadily;windnoiseon ears unpleaaan~begin-
                                                                        ningof blizzards (snowflowsin air)
    7           Moderategale                 13.9-17.1               Inconvenience whenwatking
                                                                                    felt
    8           Freshgale                    17.2-20.7               progressinwalkingdiffIculcmaintainingbalancein gustsvery
                                                                        difficult
    9           Stronggale                   20.8-24.4               Peopleblownoverby gusts
   10           Wholegale                    24.5-28.5               smalltreesuprooted
   11           Storm                        28.6-34.0               Widespread&mage
   12           Hurricane                     >34.0                  Failureof illdesigned, structures,likelampposts,GI sheetsto
                                                                        majorfailures


                                                              2
SP 64 (S & T) :2001

what is called ‘streamlined’ or ‘laminar’ flow or what pressures acting on the body surfaces in contact with
is called ‘turbulent’ or ‘unsteady flow of random ‘it, and this reduction of pressure on the body’s leeward
nature’. A streamline is defined as a line drawn through side accounts for a large proportion of the drag force.
a moving fluid such that the velocity vector is Pressure forces act normal to the surface, and
tangential to it. The streamlines coincide with the paths integrating the components of pressure forces over the
of the particles in steady laminar fluid motion but not whole surface of the body in-line and perpendicular to
when the fluid motion is turbulent. In turbulent fluid the fluid direction results in alongwind (or drag) and
motion, the velocity and direction of the particles of acrosswind (or lift) forces. These are additional to the
small masses of fluid fluctuate in time, mostly in a skin-friction drag, which is caused by the viscosity of
random and chaotic manner. In uniform flow each the fluid and acts tangentially to the surface. The drag
streamline has the same constant velocity, but in flows resulting from the pressure distribution is referred to
of viscous fluids near a solid boundary, the velocity at as the pressure drag, and is kept to a minimum in
the boundary is reduced to zero by the effects of shapes used in aircraft wings called aerofoil sections,
viscosity. Thus the velocity along the streamlines which are designed to avoid flow separation.
increases with distance of the streamline from the solid
boundary until a final unretarded velocity is attained. Except for surfaces with pronounced protuberances
The region of retarded fluid, which is indicated by the that may fix the positions where the flow separates, the
broken lines in Fig. 1 is referred to as the boundary positions of transition from laminar to turbulent flow
layer. The flow over the surface within the boundary and of flow separation from the surface are dependent
layer may be laminar at an upstream position but on the Reynolds number (Re) of the flow,
transition to turbulent flow may take place at some
                                                               R== pvl~ = WV                                  ...(3)
position as the flow proceeds downstream along the
surface. This transition takes place over a distance where
along the flow direction. If the flow is subject to an
adverse gradient, that is a pressure gradient opposing p and v are, respectively, the dynamic and kinematic
it (such as may be induced by flow over a concave viscosities of the fluid and 1 is a typical length.
surface, or other circumstance in which it is forced or
allowed to expand), its velocity throughout the The Reynolds number is a measure of the ratio of the
boundary layer is further retarded and at some position inertia forces (that is, force due to acceleration of fluid
along the surface may be reduced to zero slightly particles) to viscous forces in a fluid.
above the surface. Then the opposing pressure will
drive the fluid in opposite direction (reversed flow). 0.2.5 Flow Patterns
The boundary layer flow becomes detached from the 0.2.5.1 Around circular cylinders
surface and large eddies are formed and are discharged
into the region behind the body called the wake. These We will first consider flow pasta structure of circular
eddies are usually discharged either randomly or at cross-section, since this shape is used in many tall and
fairly regular intervals, dependtng on the vebcity of even short structures. The flow patterns around a
the fluid and the dimensions and shape of the body. circular cylinder are sketched in Fig. 2, and show the
The energy carried downstream by these eddies marked influence of Reynolds number (Q. In the
reduces the pressure in the wake and hence the subcritical flow regime Fig. 2(a) the boundary layer


                                              +   v+




                                             la
               FIG. 1 GROWTH
                           OFABOUNDARY
                                     LAYERINA FAVORABLEPRESSURE
                                                              GRADIENT


                                                         3
5P 64 (S & T) :2001

remains laminar up to the points of separation, which                  width of the wake and an increase in cd. The periodic
occur at about 80° from the stagnation point P.                        vortex shedding in this regime is both weak and
Vortices are formed regularly and alternately from                     random. The increase in cd continues until Re = 3 X 106
each side of the cylinder and are shed into the wake.                  and the position of the separation point stabilizes at
The width of the wake, and hence the value of the drag                 about 109°. In :his transcritical (sometimes, perhaps
coefficient Cd, is greatest in the subcritical flow                    more correctly, referred to as hypercritical) regime
regime. When the surface is smooth, at about a                         Fig. 2(d) the value of cd decreases slowly with increase
R, = 2 x 105, the laminar boundary layer becomes                       of Reand the wake contains peak energy at frequencies
turbulent at a forward position on the cylinder surface.               higher than in the subcritical regime vortex shedding
The separation point shifts more or less suddenly to an                frequency. The flow patterns of Fig. 2 are for
angle of about 120° to 130°. In this critical regime                   stationary smooth-surface cylinders in a smooth
Fig. 2(b) cd falls rapidly as the Reynolds number                      approach flow; they are modified by surface
increases to 5 x 105when its lowest value is reached.                  roughness, by turbulence of the incident wind, and by
Thereafter, increase of Re brings the flow into the                    motion of the cylinder and height to diameter ratio of
supercritical regime Fig. 2(c) with an increase in the                 the cylinder.




                                                                                                                         1
                                              -a) -> J
                              I
                                       Ts
                                                                                                           -m

                                                                                                                         1WAKE




                     G$-
                       c’
                              ie
                =




                    9 sW”
                         --
                              ,.‘. e


                              INla!
                                       Ts                                      ———
                                                                                ——_
                                                                                 __
                                                                                  fbl
                                                                                                                     }
                                                                                                                         WAKE




                      = 50”IN
                      . 6& IN
                                                                                                                     1
                      .7UW
                                                                                                                         WAKE

                                                                                                                     1



                                                                                            . . .- .--..--.”



                                            *6 J
                                                                       . . . . ..----.”-
                                                            ., . ..-
                                                       1s                                                  -—..
                                                                        --a
                                                                                                                 3       WAKE
                                            ~“      ~ ‘U/


                                                                               ldl
                                                                                      ... . .. . ...            ..   J
                    LB        = Laminar Boundaty Layer
                    T=          Transition from Laminar to Turbulent Boundaty Layer
                    TA        = Re-attachment of Turbulent Boundary Layer
                    LS, TS    = Separation of Laminar and Turbulent Boundaries Respectively
                    TB        = Turbulent Boundaty Layer
                    NOTE —         Broken line indicates boundary of separated flow.

   (a) Subcritical, 300 c R, <2 x 105, Q= 1.2 a= 0.2; (b) Critical,2 x 105 c R. c 5 x 105,1.2> Cj >0.3,
       0.2< S, c 0.5; (c) Super-critical, 5 x 10b < Re c 3 x 106, 0.5s ~s 0.7, S = 0.5; (d) Transcritical
      (Hypercritical), R, >3 x 1C6,Q = 0.7, S = 0.27, R,= V&.1,where dis the diameter of the cylinder

       FIG. 2 SKETCHES FTWO-DIMENSIONAL
                     O               AIRFLOWPATTERNS ROUND CIRCULAR
                                                   A     A        CYLINDER



                                                                   4
SP 64 (S & T) :2001

0.2.5.2 Around other bluff bodies                              equivalent static load. Static wind effect primarily
                                                               causes elastic bending and twisting of structure. The
 A body is said to be a bluff body if the ratio of its
                                                               dynamic effects of wind are either periodic forces such
 dimension parallel to the flow to its dimension
                                                               as due to Vortex Shedding, Flutter, Galloping and
perpendicular to the flow does not differ by more than
                                                               Ovalling or non-periodic such as turbulent bufetting
about 6 and whose drag coefficient based on the
                                                               (see Table 2).
smaller dimension exceeds about 0.1. Circular
cylinder, square and rectangular prisms, etc, are              0.3 Shortfalls of the 1%4 Code
examples. As an example, the flow patterns around a
                                                               0.3.1 The Code, which was published more than 35
 long square-section prism are sketched in Fig. 3. The
                                                               years ago has provided reasonably good guidance to
patterns, and hence the values of the drag coefficient         structural engineers for the design of most of the
Cdcan be considered independent of R, if R, is > about
                                                               simple structures. In most cases, its provisions have
 104because the positions of the points of separation of
                                                               been safe, if not conservative.
the flow from the body are fixed by the sharp corners.
They are, however, influenced by the turbulence of the         A look at some of the recent International Codes
approaching stream, the effect of which may be to              however, clearly indicates the significant advances
cause the flow which has become detached at a                  made in wind engineering in the last few years. Not
windward comer (A) to reattach to the side, until              only is there an improved knowledge of the charac-
finally separated at the leeward comer. Thus in                teristics of wind, but there have been new trends,
turbulent flows the width of the wake is reduced               innovations and requirements of structural design,
compared to that in smooth flow, with a corresponding          which demand a more accurate definition of wind
reduction in the value of Cd.                                  forces. Viewed from this background, the shortfalls of
                                                               IS 875:1964 must be understood in today’s context.
                                                               In the revision of the Code, an attempt has been made
                                                               to overcome the obvious shortfalls and update the




        {.-
         , —-
                                                               information to present-day knowledge of wind




    <u -.——
         -
         —----
                                                               engineering. A serious attempt has been made to
                                                               ensure that the new phenomenon introduced or/and
                                                               discussed in the 1987 revision are free from am-
                                                               biguities and not significantly beyond the existing
                                                               knowledge base in the country. Some of the more
                                                               important shortfalls that had surfaced over the years of



          --
           _______
          f---
          .-.
       .-77-’
               A.
                    .... .


                                              c
                                                               the Code of 1964, which provided the main impetus to
                                                               the revision of the 1964 Code are briefly summarized
                                                               below:

                                                               0.3.2 Wind Zoning

                                                         Of interest to structural designers are wind pressures
                                                         of short averaging time and gusts with averaging time
                                                         of say 3 to 15 seconds. The wind map zoning in the
                                            —-—__
                       Ibl                                1964 Code represented the state of knowledge of the
                                                         wind climate and measurements taken earlier over
   (a) Smooth Incident Flow, Cd= 2.2; (b) Turbulent      some 30 years. Several studies have since been
               Incident Flow, Cd= 1.6                    published based on increasingly available data. It was
 FIG.3 SKETCHES FAIRFLOW
                    O            PATTERNS    AROUND abundantly clear that the earlier wind zoning either
 PRISMS  OFSQUARE    SECTION  WITHSHARPCORNERS over-estimated or under-estimated the occurrence of
                                                         extreme wind speeds in different parts of the country.
0.2.5.3 Over buildings                                   Thus the revision of wind map zoning was long
                                                         overdue.
Figure 4 shows sketches of typical flow patterns
around buildings, most of which can be classed as bluff 0.3.3 Risk Level
bodies.
                                                         In the 1964 Code, no indication was available about
0.2.6 Wind Effects on Structures                         the return period. Experiences all over the world, by
Wind effects on structures can be classified as ‘Static’ and large, has favoured designing normal structures
and ‘Dynamic’. Strictly speaking, wind effects are for a life and return period of 50 years as these criteria,
only dynamic in nature but in most of the codes these seem to yield safe and economical loads for normal
dynamic effects are expressed in terms of an structures. For wind-sensitive structures and for


                                                           5
SP64(S&T):2001




                                                         (0)



                                    —*-—


                                                         (b)




                                                         (d)


 (a) Flat roof H/b = 0.5, Flow Re-attaches;         (b) Flat Roof Mb = 2, No Flow Re-attachment;        (c) Low-pitch Roof,
                          Flow Re-attaches;         (d) High Pitch roof, No Flow Re-attachment

FIG. 4 SKETCHESOF FLOW PAST LOW-RISE BUILDINGS SHOWINGTHEEFFE~S OFALONG-WIND
                                                                           WIDTHAND
              OF ROOF PITCH ON THE SEPARATEDREGIONINTHEWAKEOFTHEBUILDING



                                           Table 2 Wind Effects on Structures
                                                         (Clause 0.2.6)



                                I     WindEffects          I




                                                               1                           I        I
                                                     I
                                                     1
                                                                                                    I

         1                  !                   I                      I                                               I
                         Dueto                  vortex         Buffeting Due      Ovalling         Gatloping         Flutter




                                                                               T
        Dueto
      Atmospheric     Buffeting by            Excitation        to Periodic     (Tldn Walled     (Non-circular   (BridgeDecks,
      Turbulence     TurbulentWala             (Slender        Wakeof other    Structures)like     Chimneys,     AntennaDkh)
                        of other           Structures)like      structures       Chimneys,        Conductors,
                       structures            Chimneys,                            Cooling        CableBridge,
                                               Cooling                           Towers,etc       Towers,etc)
                                           Towers,Stacks,
                                           BridgeDecks,
                                                  etc




                                                                   6
SP 64 (S & T) :2001

structures with post-disaster functions, the return            height may not be affected significantly by the low
period is often increased to 100 years. As a matter of         value of the power index, the 1964 Code would yield
fact, for structures of exceptional importance the             pressures which are under-estimates in the upper
return period could logically be even higher to reduce         regions of tall structures where more precise values are
the risk levels still further. These issues are further        needed. The Code did not indicate variations with
discussed in 3.3.                                              terrain roughness, and was silent about wind pressures
                                                               above 150 m from ground. With tall structures already
0.3.4 Wind Velocity Measurement                                reaching heights of 300 m in the country and still taller
The wind instruments used by meteorologists are                structures on the drawing board, the short falls of
                                                               IS 875 : 1964 became particularly evident for tall
generally calibrated in terms of wind velocity at
standard atmospheric conditions of 15 ‘C and 760 mm            structures.
mercury pressure and measure the wind velocity with            0.3.6 Dynamic Analysis
an averaging time of about 3 seconds . The wind                For tall, long span and slender structures a ‘dynamic
pressure is evaluated by the equation p = K@, where            analysis’ of the structure is essential. Wind gusts
K is a constant. The Code of 1964 gives wind pressure          cause fluctuating forces on the structure which induce
and these were arrived at from the velocities by using         large dynamic motions, including oscillations. The
a value of K which is higher by 25 percent as compared         severity of the dynamic motions and/or wind-induced
to other International Codes.                                  oscillations depends on the natural frequency of
0.3.5 Wind Variation with Height and Terrain                   vibration and the damping of the structure. The
                                                               motions are induced in both ‘along-wind’ direction as
The variation of wind velocity with height and                 well as ‘across-wind’ direction. The ‘along-wind’
character     of surrounding terrain has important             response of the structure is accounted for by a
implications in structural design. The 1964 Code               magnification factor (often called the ‘gust factor’ )
specified constant pressure up to a height of 30 m and         applied to the static or direct forces. The ‘across-wind’
thereafter, a variation corresponding to the following         response requires a separate dynamic analysis. The
equation was given:                                            1964 Code did not give any guidance on these aspects
      Pz = P30 (zj30)a                            ...(4)       of structural design of tall structures.

where                                                          0.3.7 Size of Structure
 Pyj = basic wind pressure which is constant up to             The 1964 Code did not indicate any correlation
          height of 30 m;                                      between the structure size and wind loading. The
 z=       height in m above ground of point under              magnitude of the load imparted on a structure by a gust
          consideration; and                                   depends, to a significant extent, on the size of the
 a=       power index, with a value of 0.2.                    structure. The reason is that the spatial extent of a gust
                                                               of wind in any directions, having the same velocity as
Whenever such power laws are used, the generally               that specified in the Code is small-being about 25 m to
accepted norm in International Codes is to take a              150 m at any instant of time. Thus, a large structure
constant velocity up to 10 m height and thereafter a           will not experience the highest wind specified at all
variation given by the following equation to obtain the        points on it at the same instant and hence the average
velocity profile:                                              total load on the structure will be less than the value
      Vz = v~~(Z/lo)a                             ...(5)       obtained by assuming the highest specified wind over
                                                               its entire extent. Allowance for this needs to be made,
where                                                          although locally the load will be that due to the highest
 V,() = velocity at 10 m above ground;                         wind.
 z    = height in m of point above ground under
                                                               0.3.8 Shape of Structure
        consideration; and
 a=     power law index whose value varies from                Structures can be of many shapes, particularly when
        0.07 to 0.35 depending upon the terrain and            we combine the whole gamut of possibilities in
        averaging time; larger indices correspond to           concrete and structural steel. The ‘direct or static’ wind
        increasing roughness of terrain and larger             force on a structure is given by the equation F = SAP,
        averaging times.                                       where S is the shape facto~ A is the projected area in
                                                               the plane perpendicular to the wind direction; and P is
In recent times, the logarithmic law is being used more        the wind pressure. The 1964 Code gave values of the
often, mainly due to its better theoretical backing.           shape factor for the basic shapes (circular, octagon and
Considering that the power law index of IS 875:1964            square), but this information needed to be extended to
was applicable to pressures, the corresponding index           other shapes for various wind directions. For steel
for velocity would be 0.1. While structures of low             structures of different plan shapes, shielding

                                                           7
SP 64 (S & T) :2001

configurations and solidlty ratios, no guidance was            2 TERMINOLOGY
avai Iable. Therefore it became essential for the
                                                               2.1 Angle of Attack [3.1.1]
designer to either consult other International Codes or
take advice from specialists.                                  Angle between the direction of wind and the reference
                                                               axis is known as the angle of attack. As shown in
0.3.9 Pressure Coefficients                                    Fig. 5(a), angle %’ is angle of attack, between the
                                                               direction of wind and reference axis (horizontal line).
All over the world, the unsatisfactory performance of
relatively light weight low rise buildings such as the         2.2 Breadth [3.1.2]
thatched houses in rural India or houses with sheet            Horizontal dimension of the building measured normal
roofing, led to updating of pressure coefficients              to the direction of wind, is termed as the breadth of the
(internal and external) for various configurations of          structure. As shown in Fig. 5(b), breadth =AB for wind
buildings, wall openings and wind directions.                  along the longitudinal reference axis and BK for wind
Additionally, a need was felt to define higher local           perpendicular to it. For other wind directions, such as
external negative coefficients at certain locations to         at angle ’0’, it is the maximum width seen along the
cater to concentrations near edges of walls and roofs,         wind such as the projection of AB’ on a plane
where the failures are primarily initiated. It is              perpendicular to the direction of wind. In Fig. 5(b),
recognized that considerable research is still needed in       this is AE.
this area.
                                                               2.3 Depth [3.1.3]
1 SCOPE                                                        Horizontal dimension of the building measured in the
                                                               direction of wind is the depth of the building. As shown
The aim of this Handbook is to provide detailed                in Fig. 5(b), depth = AA’for wind along the reference
background information on the provisions of IS 875             axis and BA for wind perpendicular to the reference
(Part 3) : 1987 and the use of the standard for                axis. For other wind directions, such as at angle ‘f3’,it
estimating wind loads on structures. The emphasis has          is the maximum length from the first point on the body
been on the identification of source material used,            which meets the wind to the point where a line from
philosophical ideas behind the changes in 1987 edition         this point along-wind meets a boundary of the body
and guidance to the use of the standard. Clauses 0.1           such as BD.
and O.2 of this Handbook contains background
                                                               2.4 Developed Height [3.1.4]
information, philosophical ideas, nature of wind and
wind effects on structures. Clause 0.3 brings out the          The velocity increases up to certain height from the
shortfalls of the earlier standard (IS 875: 1964),             ground when wind passes from one terrain category
vis-a-vis wind zoning, risk level, wind velocity and its       to another terrain category. After covering a certain
variation with height, dynamic analysis, effect of             distance in the new terrain, the velocity profile does
structure size and shape. Clause 2 explains the various        not change any more and is said to be fully developed.
terminology used in the standard. Clause 3 discusses           Before becoming fully developed, the velocity profile
the main features of the revised Code like new wind            will have a mixed character of the fully developed
zoning map, estimation of design wind speed, concept           profiles of the upstream and downstream terrains. In
of return period, effects of terrain roughness and             this intermediate region, the height up to which the
structure     size, local topography,          correct         velocity profile changes in the new terrain is known as
velocity-pressure relationship. In Clause 4 wind               the Developed Height. [Table 3] gives the vahtes of the
pressure and forces on buildings/structures          are       Developed Height as a function of the distance for the
discussed in light of pressure coefficient method.             four terrain categories. Methodology for estimation of
Details of force coefficient method are given in 4.3           the developed height and for using the same has been
while dynamic effects like along-wind               and        illustrated in the solved Examples given in 3.5.
across-wind responses are explained in 5 and 6.                2.5 Effective Frontal Area [3.1.5]
Requirements of wind tunnel studies are detailed in 7.
Clause 8 conducts the user to the various provisions of        As given in Fig. 5(a) for angle of attack ’6’ = O,
the standard with the help of flow diagrams. Clause 9          effective frontal area is ABCD, which is the projected
contains the methodology for the estimation of wind            area of the structure normal to the direction of the
loads on low rise buildings, with the help of examples.        wind. For ‘til’not equal to zero, the frontal area is
                                                               ACEF.
Clause 9.3 is devoted to the estimation of dynamic
effects of wind using gust factor method and contains          2.6 Element Surface Area [3.1.6]
typical solved examples of structures.                         In Fig. 5(a), for angle of attack ‘f3’= Oat height z, area
    NOTE—AllClauses,FiguresandTablesin SquareBracketsin        PQRS represents the element surface area of height
   the HandbookRefer to Clause Numbers,FigureNumbersand        Az. In the element surface area pressure/force
   TableNumbersof IS 875(Part3): 1987,respectively             coefficients are to be taken constant.

                                                           8
SP 64 (S & T) :2001

2.7 Force and Moment Coefficients [3.1.7]                       2.9 Gradient Height [3.1.9]
When a structure is immersed in flowing fluid like air,         When wind moves over large distances in a particular
a force is exerted on it which depends on the nature of         terrain, the velocity becomes constant above a certain
flow, type of structure and is expressed in terms of            height. The height above which the velocity is found
non-dimensional coefficient. This non-dimensional               to be constant and is not influenced by surface friction
coefficient is termed as force-coefficient.                     is called the Gradient Height. Implicitly, the Code
There can be components of force in the directions              identifies the gradient height as the height of the
other than the direction of wind. The force component           planetary boundary Iayev the wording of the definition
along the direction of wind is called drag force (now-          is obviously very carefully done, since the
a-days, more frequently as along-wind force) and the            meteorologists’ identify the gradient height as one at
force components in the other normal directions are             which there is a balance of Coriolis and pressure
termed as lift force (or across-wind force) and side            forces. The meteorologists’ definition of gradient
force (or transverse force). Likewise, the moment               height puts it well above the edge of the atmospheric
coefficient tending to bend the structure in the direc-         boundary layer. Thus the definition of gradient height
tion of wind is called the over turning moment, the             used in the Code is not the same as the gradient height
coefficient tending to twist it about a vertical axis as        as understood by the meteorologists.
torque and the coefficient in the transverse direction as       2.10 Pressure Coefficient [3.1.9]
‘sideways’ moment coefficient.
2.8 Ground Roughness [3.1.8]                                    The pressure exerted by wind at a point on the structure
                                                                wil I be different from the pressure of wind far
The obstructions like trees, buildings, structures, etc,        upstream of the structure, called ‘free stream static
on ground are termed as ground roughness. The ground            pressure’. The ratio of the difference of the pressure
roughness tends to retard the flow near ground because          at a point on the structure and static p~ssum of the
of momentum transfer between layers of wind. The                incident wind to the design wind pressure is termed as
velocity profile of wind is dependent on the ground             Pressure Coefficient.
roughness. Although the nature of ground roughness
on the surface of the earth varies from flat and very           The concept of pressure coefficient is similar to that of
smooth to very rough as in the city centres with tall           force coefficient. The pressure coefficient at a point
buildings, it has been found convenient and adequate            multiplied by design wind pressure yields the pressure
to categorize them into four fairly distinct categories.        at that point.
                                                                               J

                                              /’7




                                                #




                        e  e“

                      WIND DIRECWM
                             (e)
                                     AXIS
                                            RENCE




                                                                            (b)
                         VJINDIN PLAN                                  BUILDINGPLAN
                                       FIG. 5 WIND EFFECTSON A BUILDING


                                                            9
SP 64 (S & T) :2001

The pressure coefficient may vary with height or           2.12 Solidity Ratio ‘$’ [3.1.9]
width. The pressure acting towards the surface of          In general, solidity ratio is the ratio of the sum of all
structure is to be taken as positive and pressure acting   the areas’ of each element of a framed structure
away from the surface of structure is to be taken as       normal to the wind to the area of the boundary
negative.                                                  enclosing the structure. Care must, however, be taken
2.11 Suction [3.1.9]                                       in applying “this definition. In a plane frame, the
                                                           boundary area is to be taken as that of the main frame
Atsomepoints on anybody, pressure may fall below           only and the areas of appurtenances which are within
atmospheric pressure and is called ‘suction’. Suction      the boundary [as AntennaAl, or ladderLl, in Fig. 6(a)]
is the pressure acting away from the surface of            treated as part of the element of the frame. However,
structure; negative pressure is the same as suction        the area of the antenna or an appurtenance outside the
pressure.                                                  boundary such as the AntennaA2 or lightening arrester




                                                 6(a) Plane Frame


                                        0’                 c’




                                                                             (ii)
                                  (i)
                                                 6(b) Space Frame
                                 FIG.6 SOLmITY
                                             RATIO PLANE SPACE
                                                 —     AND   FRAME

                                                           10
SP 64 (S & T) :2001

L~ in Fig. 6(a) should not be taken into account either      Terrain category 1 (TC- 1) applies to exposed open
as part of the enclosed boundary or that of the frame        terrain with few or no obstructions and in which the
in computing the solidity ratio. The loads on such           average height of objects surroundings the structure is
appurtenances outside the enclosed boundary must be          less than 1.5 m. Category 2 (TC-2) refers to open
separately estimated and added to the load on the frame      terrain with well scattered obstructions having heights
at the appropriate point. In Fig. 6(a), the area enclosed    generally between 1.5 to 10 m while Category 3 (TC-3)
by ABCD k the boundary area and the area of shaded           applies to terrain with numerous closely spaced
elements to be considered for estimating the solidity        obstructions having size of buildings/structures up to
ratio is indicated. Similar principles apply in the case     10 m in height with or without a few isolated tall
of space frames. In case of cross bracings, the              structures. Terrain Category 4 (TC-4) means terrain
projected area as seen from windward face shall be           with numerous large high closely spaced obstructions.
taken and added to other areas (shown shaded) to             However, when fetch lengths are small, the velocity
arrive at the total solidity ratio. If there are             profile is not fully developed and suitable velocity
appurtenances within the enclosed volume (ABCD               profile with changes in terrain categories be
 A’B’C’D’) [see Fig. 6(b)(i)], then their area should be     considered [5.3.2.4].
projected on the nearest windward frame for
estimating the frame solidity ratio Fig. 6(b)(ii). The       2.15 Velocity profile [3.1.9]
solidity ratio of each frame should be found and             The variation of wind speed with height is called the
appropriate shielding factor applied.                        Velocity Profile. The velocity profile is dependent on
2.13 Fetch Length [3.1.9]                                    the terrain category, zonal velocity and the fetch
                                                             length. Figure 8 shows the velocity profile in the four
The distance over which wind has moved in a                  terrain categories.
particular terrain category before approaching the
                                                             2.16 Topography [3.1.9]
structure is known as the Fetch Length. The velocity
profile of wind changes continuously over the fetch          Geographical       features such as mountains, hills,
length before stabilizing at the variation given in          escarpments,       etc, of an area is known as the
[Table 2]. The distance required for a stab]: profile to     Topography of      the area in which the structure is built
be formed is given in [Table 3]. Distance AB in Fig. 7       and this affects   the wind speed on and downstream of
is the fetch length.                                         these features.
2.14 Terrain Category [3.1.9]                                3 WIND SPEED AND PRESSURE [5]
Buildings, vegetation, walls, trees and waves at sea         3.1 Basic Wind Speed [5.2]
contribute to the surface roughness and thus influence
the local characteristics to which a structtue may be        In 1960, there existed about 10-12 continuously
exposed. The average ground roughness of large areas         recording DPA stations in the country compared to
is termed as Terrain Category. Based on the average          about 50 or so such stations at present. The instruments
height of the ground roughness four representative           continuously record wind speed on Y-axis with time
terrain categories having fully developed velocity           on X-axis and in addition, record the direction of wind
profiles are suggested [5.3.2] from the equivalent of a      speed. Most of these stations are located on the coastal
calm sea to inner city area dominated by tall buildings.     belt.




                                                                 H
                                                                                   MODIFIEO VELOCITY
                                                                                   PROFILE DUE TO
                                                                                   CHANGE OF
                                                                                   ROUGHNESS



                         H
                                                                                  h:
                                                                                        MEAN GROUND
                                                                                           LEvEL

                 APPROACHING VELOCITY
                       PROFILE
                                             ‘I?==4’(b,
                         (a)



                               FIG. 7 EFFECTOFCHANGE INTERRAIN
                                                             CATEGORIES


                                                            11
SP 64 (S & T) :2001

The revised wind map is based mainly on the data from        Cyclonic Storms — Cyclonic storms on east and west
the anemograph records of 47 DPA stations for periods        coasts are more intense over the sea than on the land.
from 1948 to 1983. All these wind data have been             West coast storms are less intense except in Northern
published in India Meteorological Department publi-          Sourashtra compared to east coast storms. Reports of
cations, ‘Indian Weather Review, Annual Summary              failures of structures at Sriharikota, Gujarat coast,
Part-A’ published annually from 1948 onwards. The            Paradeep and other places have been taken into ac-
basic approach followed for preparing the wind map           count for evolving the reference speed in these regions.
is by extracting wind velocities, since analysis of stmc-    Storm speeds begin to decrease once they cross the
tures in many cases depends on wind speed directly           coast and are normally taken to be effective up to a
and also much of the available data on effects of terrain    distance of about 60 km inland after striking the coast.
is in terms of wind speed. The use of wind speeds for        However, in Bengal coast its effect has been observed
statistical analysis is also in line with the internatio-    up to 110 km inland. A region along the sea coast
nallyaccepted practice. The peak values of annual            extending up to a distance of 60 km (and 110 km along
maximum wind speeds (wind gustiness) for each of the         Bengal coast) from the nearest coast line has been
47 stations formed the data for statistical analysis to      identified separately from the main land for wind
obtain the extreme wind speeds. In the statistical           zoning. In addition, it has also been decided to give the
analysis of all the annual peaks at each of the above 47     number of cyclones that have struck different sections
stations in India, IMD used Fisher-Tippet Type-I             of east and west coasts in the basic wind map for more
(Gumbal) distribution. Before analyzing, recorded            sophisticated design load estimation.
values were reduced to values at 10 m height above
ground for the normalized terrain Category 2. Since              Dust Storms — Dust storms associated with high local
the data for analyses came from DPA which has an             wind speeds which are short lived and are particularly
averaging time of about 3 seconds, analysis gives gust       intense over Rajasthan plains have been considered.
velocity values averaged over 3 seconds. These values        Also Norwesters or Kal Baisaki winds over North
for 50 year return period and 50 year structure life have    Eastern plains during summer months have been ac-
been given in [Fig. 1] for terrain Category 2. In addi-      counted for. It has been suggested that the influence of
tion to the use of data available from 47 DPA stations       wind speed off the coast up to a distance of about
up to 1983, the following effects have been suitably         200 km maybe taken as 1.15 times the value on the
incorporated in the preparation of the basic wind            nearest coast in the absence of definite wind data [5.5]
velocity map:                                                as in Australia. The occurrence of a tornado is possible
                                                             in virtually any part of India. They are particularly
Orography — Orography has been considered in the             more severe in Northern parts of India. The recorded
zoning of wind velocity map since it was observed that       number of these tornadoes is too small to assign any
continuous hills and mountains spread over a large           frequency. The devastation caused by a tornado is due
area affect wind speed, for example regions demar-           to exceptionally high winds about its periphery and the
cated by Vindhya mountains. The data spread seems            sudden reduction in atmospheric pressure at its centre
to match the orography of the country.                       resulting in a huge outward pressure on the elements
                                                             of the structure. The regional basic wind speeds do not
Palghat Gap — Extreme winds observed during mon-             include any allowance for tornadoes directly. It is not
soon season over the southern peninsula due to the           the usual practice to allow for the effect of tornadoes
funneling effect of Palghat gap (reported wind speeds        unless special requirements are called for as in the case
being up to 160 km/h) has been considered.                   of important structures such as satellite communica-

                     500
                           t               I                      ++%%




                               OPENSEA       OPENTERRAIN FOREST
                                                              StJWRRS CITY CENTFES

                      FIG. 8 VELOCITY
                                    PROFILE
                                          OVERDIFFERENTTERRAINCATEGORIES


                                                            12
SP64(S&T)       :2001

tion towers. The wind speed can now be obtained up           level’, on the other hand means the probability that a
to 500 m height above the ground surface. Design wind        given wind speed will be exceeded in a certain number
speed up to 10 m height from mean ground level is            of successive years which is usually the life of the
taken to be constant. Although not stated in the Code,       structure. The coefficient kl is identified in the Code
turbulence level above 500 m is unlikely to be more          for return periods of 5,25,50 and 100 years alongwith
than 6 percent. Basic wind speed map of India has been       recommendations regarding ‘mean probable design
presented in the Code. The reference wind speed all          life of structures’ of various types [Table 1]. For
over the country has been found to fall into six ranges      general buildings and structures of permanent nature,
of basic wind speeds, varying from 33 m/s to 55 nds          the return periods have been recommended to be 50
for a 50 year return period and a probability of ex-         years and a life of 50 years for the structure. For all
ceedence level of 63 percent. The indicated wind speed       temporary structures including temporary boundary
characteristics are in line with other International         walls, it is recommended that a life of 5 years be
Codes, namely short duration gusts averaged over a           assumed and the appropriate multiplier kl as given in
time interval of about 3 seconds applicable to 10 m          [Table 1] be used. The normal value of risk level
height in ‘open’ terrain. The Code recognizes that           recommended is 0.63 for structures whose life
there is not enough meteorological data to draw              expectancy is equal to the return period. The factor kl
isotachs (lines joining places of equal velocity) on the     has been used to assess the effect of different risk
wind map of India as seems to be the practice in some        levels.
other International Codes.
                                                             At first sight, a risk level of 0.63, which is the prob-
The revised map, when compared to that of the earlier        ability that the design wind speed is exceeded once in
Code shows that in general, in the following areas of        the life of say N years of the structure under the
the country, the wind velocity was previously under-         condition that the probability of the exceedence of the
estimated:                                                   design wind in any one year is l/N, seems rather high.
   — Nollh : North-eastern part of Jammu and                 However experience in many parts of the world has
     Kashmir                                                 shown that this amount of risk can be taken for normal
   — West: Coastal areas of Kutch in Gujarat                 structures. Although not given in the Code, the risk
   — East: Tripura and Mizoram                               level can be found from the formula

The wind map indicates updated supplementary infor-                  r=l–(1–l/T)~                                  ...(7)
mation (1877 to 1982) relating to the total number of
                                                                 where
cyclonic storms. Occasionally, a user comes across a
                                                                  N = desired life of the structure in years,
situation where the wind speed at a location on the
                                                                  T = return period in years, and
boundary between two zones has to be obtained. If
                                                                  r    = risk level.
local wind data is not available, it is recommended that
the higher speed of the adjacent zones be used for           The designer or owner must decide the amount of risk,
design.                                                      he is prepared to take. Let us take one example.
3.2 Design Wind Speed [5.3]                                  Example. Only 10% risk acceptable,           life 30
The design wind speed is dependent on the                    years,   in zone    with wind speed of 39 rids,
geographical basic wind speed, return period, height         Categoq 2, size of structure 30 m. To find the design
above ground, structure size and local topography. The       wind speed.
format of the equation of design wind speed adopted              From Eqn (7), we get
in the new Code is as follows:
                                                                  UT = 1-( l-r)l’N
       Vz = Vb k, kz k~                            ...(6)             = 3.5x 10-3
where                                                        That is, this is the acceptable probability that the
  V.    = design wind speed at height z in mls,              regional wind speed of 39 rmlswill be exceeded in any
  Vh = basic wind speed of the wind zone,                    one year during the 30 year life of the structure for the
 k,  = risk coefficient,                                     accepted risk. Using the above values of risk level, life
 kz  = terrain, height and structure size factor, and        of structure and the quantities A and B corresponding
 k~  = local topography factor.                              to 39 m/s wind speed in [Table 1], one obtains
3.3 Risk Coefficient [5.3.1]                                 kl = 1.165.
There is sometimes confusion as to the meaning of                Hence, the regional basic wind speed to be used for
return period and risk level. Return period (Tin years)          this structure should be 1.165 x 39 = 45.44 rids. Use
is the reciprocal of the probability that a given wind           of Eqn. (7) is necessary if the return period T only is
speed will be exceeded at least once in any one year.            known from analysis of wind data and risk level has to
The word, ‘period’ sometimes causes confusion. ‘Risk             be assessed.

                                                            13
SP 64 (S & T) :2001

3.4 Terrain, Height and Structure Size (kz factor)           to a height of 35 m at a distance of 0.5 km from B2.
[5.3.2]                                                      Hence one takes the multiplier of TC-3 [Class C of
The coefficient k2 has been indicated at different           Table 2] up to a height of 35 m (by interpolation).
heights in a convenient tabular form [Table 2] which         Above this height, the multipliers of TC-1 are to be
identifies four terrain categories (1, 2,3 or 4) and three   used. At a height of 35 m, the multiplier corresponding
classes (that is, sizes) of structures (A, B or C). The k2   to TC-3 is to be used when computing the design load
factors are valid only up to the height at which they are    on the tower, although the multipliers of both TC- 1 and
specified. For example, the factor 1.17 in TC-2, class       TC-3 are shown at this height in this sketch. The final
A structure applies only up to 50 m height. As stated        design multipliers are shown in Table 3.
in [Note 2 of Table 2], values between 1.12 and 1.17
                                                             Table 3 Multipliers for a Structure in TC-3 with
may be linearly interpolated between heights of 40 m
                                                                             Upstream TC-1
and 50 m or a constant value of 1.17 (the higher one)
                                                                               @ample 1)
may be used between 40 m and 50 m. The coefficient
k2 has different values [Table 33] when dealing with
wind speeds averaged over 1 hour, which are required          Height (m)     Multipliers as per     Multipliers as per
                                                                              [5.3.2.4(b)(i)]        [AppendixB]
for evaluating dynamic effects according to certain
                                                                  10               0.99                    0.82
theories.
                                                                  15                1.03                   0.87
3.5 Fetch and Developed Height Relationship
                                                                  20                1.06                   0.91
[5.3.2.4]
                                                                  30                1.09                   0.96
The revised Code had added the concept of fetch
                                                                  35                1.10                   1.04
length and developed height for considering the effect
of change of terrain category. In the following                   50                1.14                   1.14
examples the methodology for considering this effect              55                1.15                   1.15
is explained with the help of illustrations.
                                                                NOTE- It is observedthat the applicationof [5.3.2.4(b)(i)]
Example 1. A framed tower structure inside a big                leadsto higheror conservativeload.
town at a distance of 0.5 km from the edge of the town;
the terrain outside the town isJat open, the structures      Example 2. A chimney of height 150 m in open
inside the town are closely spaced and of heights up to      country at a distance of 10 km from clusters of scat-
10 m. Height of the tower 55 m. Tofind the design wind       teredsmall villages all round with houses of height less
speeds.                                                      than 10 m. Tofind the wind speed multiplier profile.

Solution: Here, one can take the terrain outside the         Solution: Since the terrain up to a distance of 10.0 km
town as of category 1 (TC- 1) and the terrain inside the     from the chimney is open, one may assume that the
town to be of category 3 (TC-3). This problem is a case      terrain is of category 1 up to 10 km from the chimney.
of wind moving from a lower terrain catego~ to a             In view of the location of clusters of small villages
higher terrain category. Figure 9 gives a sketch of the      beyond 10 km, one can consider the approaching
configuration.                                               profile to chimney to be TC-2 from beyond 10.0 km
                                                             and TC- 1 for a distance of 10 km from the chimney.
In the above sketch,AA is the edge of TC-1profile (say,
                                                             Figure 10 gives the sketch of the configuration. It may
where the factor as per [Table 2] is 1.35), B1B2is the
                                                             be observed that in this problem, the wind flows from
approach terrain of TC- 1 and B2B3is the town centre
                                                             a higher terrain category to a lower terrain category. In
terrain of TC-3 [5.3.2.1(c)]. The tower is located at C,
                                                             Fig. 10,AA is the edge of the TC-2 profile (say the line
a distance of 0.5 km from the beginning of the town at
                                                             of multiplier 1.35), B1B2is the approach terrain TC-2
B2. In order to apply [5.3.2.3], one proceeds as follows:
                                                             and B2B3 the TC- 1 in which the chimney is located.
At C draw the profile of multipliers as per [Table 2,        The chimney is located at C, which is located at a
Class C] (since the height of the structure is more than     distance of 10 km from the beginning of TC- 1, namely
50 m), corresponding to both the terrain categories 1        B2. To obtain the appropriate multipliers, one can
and 3. Thus CDH corresponds to TC- 1 and CEFG to             proceed as follows:
TC-3. [5.3.2.4] allows one to use two options. As per
[5.3.2.4 (b) (i)], one can use the multipliers of the             i) Assume that TC- 1multiplier applies for the
lowest terrain category, which in this case is TC-1, that            entire height, as per [5.3.2.4 (b) (i)]
is, CDHG. The second possibility is to use the proce-            ii) Use the procedure of [Appendix B] as follows
dure of [Appendix B]. To use the procedure of                To use the procedure of [Appendix B], draw the varia-
[Appendix B], one first notes the height up to which         tion of the multipliers of TC-2 and TC-1 at C with
the TC-3 profile has penetrated in the vertical direction    height. These are mpectively CEFG and CDH. From
in the terrain in which the structure is located. In this    ~able 31of the Code,it is observed that the profile of
case, [Table 3] indicates that TC-3 has penetrated up        TC-1 penetrates up to a height of 80 m, in a distance
SP64(S&T):2001

of 10 km. Thus one takes the TC- 1 multipliers of Class          Table 4 Multipliers for a Structure in TC-1 with
C (since the maximum chimney dimension exceeds 50                                Upstream TC-2
m) up to a height of 80 m. This multiplier has an                                       (Example 2)
interpolated value of 1.17 at a height of 80 m. Above
this height, one has to take the multipliers as per TC-2,        Height (m)       Multipliersas per       Mukiptieras per
Class C. But the multiplier as per TC-2, Class C has a                             [5.3.2.4(b) (i)]        [AppendixB]
value of 1.17 only at a height of 100 m as per [Table                10                 0.99                     0.99
2]. The recommendation of [Appendix B] is to take the                15                 1.03                     1.03
same value of the multiplier as per the terrain of                                                               1.06
                                                                     20                 1.06
location (that is TC-1) up to the height of the upstream
                                                                     30                 1.09                     1.09
higher terrain category at which the same multiplier is
found as per [Table 2] of the Code. In this case, the        I       50       I         1.14          I          1.14       I
recommendation implies that the multiplier 1.17 at 80        I       80       I         1,17          I          1.17       I
m height of TC- 1 must be continued up to a height of               100                 1.20                     1.17
 100 m, above which only the TC-2 multipliers of Class              150                 1.24                     1.21
C are to be used. Table 4 gives the final recommended
multipliers.                                                       NOTE Asobservedearlier[5.3.2.4(b)(i)]giveshigherloads
                                                                           —
                                                                   but is simplerto apply.


       A—         .           .—               .
                                                                                        -+-—–A

                      —.




                                                       v




                                                   +




                                           /




                                       /
                                   +




      TC1
                                                                                                            B3



                                               —.—     Tc   .1

                                               ~       TC-3
                                               —       DESIGN PROFILE
            FIG.9 DETERMINATION
                              OFVELOCITYPROFILE
                                              NEARA CHANGE
                                                         INTERRAINCATEGORY
                                (LESSROUGHTOMOREROUGH)

                                                            15
SP64(S&T)       :2001

                      A             .—        .          .—          .—       -—.                 .—    A




                           —..

                                                                          tii’7,xiii#
                                                                               /
                                         ..                                 /’
                                   ./
                    TC2                       Tcl
               BI            IB2                               Ic                                  83




                                                  ~—          TC-1 PROPILE
                                                  --—-        TC-2 PROPILE
                                                              DEStGNPWFtLE


            FIG. 10 DETERMINATION
                                OFVELOCITY
                                         PROFILE
                                               NEARCHANGE
                                                        INTERRAINCATEGORY
                                 (MOREROUGHTOLESSROUGH)

Example 3. A TV tower of height 300 m located in the                 b) B1B2 is the approach terrain TC-2, B2B3is the
 centre of a city with tall buildings (greater than 50 m                first intermediate terrain TC- 1, B3B4 is the
 in height) up to a height of 3 km from it, closely built               second intermediate terrain TC-3 and B4B5is
 houses of up to 10 m height from 3 km to 10 km and                     the final terrain TC-4 in which the TV tower is
jlat terrain beyond for 15 km at which sea coast is                     located.
 encountered. Wind is from the sea. To find the wind                 c) From Vable 3], it may be easily determined
 speed multipliers.                                                     that the edge of the TC- 1 profile starting at B2
                                                                        meets the TV tower at “Clat a height of 100 m,
Solution: This k a problem in which wind passes                         the edge of TC-3 profile starting at B3meets the
through four terrains before reaching the structure of                  TV tower C2at a height of 250 m and the edge
interest. At high winds, the sea can be taken as                        of the TC-4 profile starting at B4meets the TV
equivalent to TC-2 due to the large waves that are                      tower at C3 at a height of 220 m and the edge
generated. In this problem, TC-2 is followed by TC-1                    of the upstream TC-2 profile is at a height of
for 15 km and this is followed bf TC-3 for 10 km with                   490 m,
a final terrain category 4 for 3 km. The configuration               d) All the four category profiles (of class C since
is sketched in Fig. 11 where the multiplier profiles of                 the maximum dimension of the structure is
TC- 1 to TC-4 are shown at the location of the TV                       more than 50 m) have been drawn with origin
tower. As before, one can choose the simpler method                     at C, the base of the TV tower.
of [5.3.2.4 (b) (i)] and use the multipliers of TC- 1 for            e) Proceeding as before, one finds that TC-4
the entire height. To use the alternate method given in                 swamps TC-1 and is effective up to a height of
 [Appendix B], one draws first the developing profiles                  220 m, from C to D. At D, one”encounters TC-3
from the beginning of each terrain [Table 3].                           beginning at 1$ up to a height of 250 m. Thus
     a) AA is the edge of TC-2 (say the line of multi-                  the profile shifts from D to Eon TC-3 profile
        plier 1.35).                                                    at a height of 220 m and moves along the TC-3
                                                                        profile from E to F, which is at a height of


                                                              16
sP64(s&T):2001

  A—     Jui?-             — .——         ——                   —    .—          ——           —_      _                                   -A
                                                                                                                                  H



                                                                                                                                   IT




       TC-2                   lc-t
                              Skm             1   b3                7 km              B,~    3km     “
                 ,                            7                                        1


                     —         DESIGN   PROFILE               ‘A—           TC-1 PRCFHE          —x—     TC-3 PROFILE
                                                              —o—           TC-2 PROFILE
                                                                      Tc-b PROFILE               ----—
                         FIG. 11 DETERMINATION
                                             OFDESIGNPROFILEINVOLVING ORETHANONE
                                                                    M
                                          CHANGEINTERRAINCATEGORY
         250 m. Above F, the unpenetrated profile is the                           3.7 Design Whd Pressure [5.4]
         far upstream TC-2 profile and this applies for
         the rest of the height of the TV tower. Table 5                           One of the important modifications in the Code relates
         gives the final multipliers.                                              to the veloeity-pressure relationship. In the earlier
                                                                                   version of the Code, the pressure was over-estimated
 Table 5 Multipliers for a Structure in TC-4 with                                  by about 25 percent for a given wind velocity. The
         Upstream TC-3, TC-1 and TC-2                                              correct equation given now reads as follows:
                            (Example 3)                                                pz = 0.6 VZ2                                   ...(8)
                                                                                   where
   Height (m)            Multipliers as per            Multipliers as per
                          [5.3.2.4(b)(i)]               [AppendixB]                 Pz = design wind pressure at height z in N/m2, and
                                                                                    VZ = design wind speed at height z in mh.
 10                            0.99                    0.67
 15                            1.03                    0.67                        Strictly speaking, the coefficient 0.6 is only the most
 20                            1.06                    0.83                        probable average for the atmospheric conditions
 30                            1.09                    0.83                        prevailing in India during the whole year. A value of
 50                            1.14                    1.05                        0.6125 would be more appropriate in temperate zones
                                                                                   above latitude of about 33°. The wind effects in terms
 100                           1.20                    1.10
                                                                                   of static loading on the structure are determined from
 150                           1.24                    1.10                        design pressures as indicated in 4. A comparison of
 200                           1.26                    1.13                        wind pressures as per new and 1964 Code is given in
 220(intetpulated)             1.27                    1.19 (TC-3 vatue)           the following example.
 250                           1.28                    1.26 (lW2   value)
                                                                                   Example. Estimation      of design wind pressure for a
 300                           1.30                    1.31(TC-2value)
                                                                                   building as per 1S 875:1964 and IS 875 (Part 3): 1987.

3.6 Topography (kJ [5.3.3]                                                            Given:
The coefficient k~ allows for undulations in the local                                A buildingof length35.0q width 15.0m, height15.0m
terrain in the form of hills, valleys, cliffs, escarpments                            Life of structure 25 years
and caters to both upwind and downwind                                                Termin category 3
slopes. Methods for evaluation of k3 are given in                                     Location: Delhi
[Appendix C] of the Code.

                                                                              17
Is 875   wind load
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Is 875 wind load

  • 1.
  • 2. EXPLANATORY HANDBOOK ON INDIAN STANDARD CODE OF PRACTICE FOR DESIGN LOADS (OTHER THAN EARTHQUAKE) FOR BUILDINGS AND STRUCTURES PART 3 WIND LOADS [IS 875 (PART 3): 1987] 0 BIS 2001 BUREAU OF IN DIAN STANDARDS MANAK BHAVAN, 9 BAHADUR SHAH ZAFAR MARG NEW DELHI 110002
  • 3. SP 64 (S & T) :2001 FIRST PUBLISHED DECEMBER 2001 Q BUREAU OF INDIAN STANDARDS ISBN 81-7061 -053-4 PRICE : W 650.00 Typeset by Paragon Enterprises, New Delhi 110002 Printed in India at Viba Press Pvt. Ltd., 122, DSIDC Shed, Okhla Industrial Area Phase-I, New Delhi- I 1002O Published by Bureau of Indian Standards, New Delhi 110002
  • 4. Composition of the Special Committee for Implementation of Science and Technology Projects (SCIP) Chairman PADAMSHRI DR H. C. VISVESVARAYA Vice-chancellor University of Roorkee Roorkee Members Representing DR T. V. S. R. APPA RAO Structural Engineering Research Centre (CSIR), Chennai DIRECTOR Central Building Research Institute, Roorkee SHRI V. RAO AIYAGERI Department of Science & Technology, New Delhi ADDITIONAL DIRECTOR GENERAL (S&P) Central Public Works Department, New Delhi CHIEF ENGINEER (DESIGNS) (Alternate) SHRI S. K. DATTA Metallurgical and Engineering Consultants (India) Ltd, Ranchi SHRI l?. D. MAYEE Planning Commission, New Delhi SHRI UMESH KALRA (Altenzate) Member-Secretaries SHRIMATI NEETA SHARMA Deputy Director (S&T), BIS SHRIMATI RACHNA SEHGAL Deputy Director (Civ Engg), BIS
  • 5. As in the Original Standard, this Page is Intentionally Left Blank
  • 6. FOREWORD Users of various civil engineering codes have been feeling the need for explanatory handbooks and other compilations based on Indian Standards. The need has been further emphasized in view of the publication of the National Building Code of India in 1970 (which has since been revised in 1983) and its implementation. The Expert Group set up in 1972 by the Department of Science and Technology, Government of India carried out in-depth studies in various areas of civil engineering and construction practices. During the preparation of the Fifth Five-Year Plan in 1975, the Group was assigned the task of producing a Science and Technology Plan for research, development and extension work in the sectors of housing and construction technology. One of the items of this plan was the formulation of design handbooks, explanatory handbooks and design aids based on the National Building Code and various Indian Standards and other activities in the promotion of the National Building Code. The Expert Group gave high priority to this item and on the recommendation of the Department of Science and Technology, the Planning Commission approved the following two projects which were assigned to the Bureau of Indian Standards (erstwhile Indian Standards Institution) : a) Development programme on code implementation for building and civil engineering construction, and b) Typification for industrial buildings. A Special Committee for Implementation of Science and Technology Projects (SCIP) consisting of experts connected with different aspects was set up in 1974 to advise the BIS Directorate General in identifying the handbooks and for guiding the development of the work. Under the first project, the Committee has identified several subjects for preparing explanatory handbooks/compilations covering appropriate Indian Standards/Codes/Specifications which include the following : *Handbooks Published 1. Design Aids for Reinforced Concrete to IS 456:1976 (SP 16: 1980) 2. Handbook on Masonry Design and Construction (first revision) (SP 20: 1991) 3. Summaries of Indian Standards for Building Materials (SP 21: 1983) 4. Explanatory Handbook on Codes of Earthquake Engineering (IS 1893:1975 and IS 4326: 1976) (SP 22: 1982) 5. Handbook on Concrete Mixes (SP 23: 1982) 6. Explanatory Handbook on Indian Standard Code of Practice for Plain and Reinforced Concrete (IS 456: 1978) (SP 24: 1983) 7. Handbook on Causes and Prevention of Cracks in Buildings (SP 25: 1984) 8. Handbook on Functional Requirements of Industrial Buildings (Lighting and Ventilation) (SP 32: 1986) 9. Handbook on Timber Engineering (SP 33: 1986) 10. Hankbook on Concrete Reinforcement and Detailing (SP 34: 1987) Il. Handbook on Water Supply and Drainage with Special Emphasis on Plumbing (SP 35: 1987) 12. Handbook on Typified Designs for Structures with Steel Roof Trusses (with and without Cranes) (based on IS Codes) (SP 38: 1987) 13. Handbook on Structures with Steel Portal Frames (without Cranes) (SP 40: 1987) * Hmdbooks publishedare available for sale from BIs Headquarters, and from all Branches and Regional, Offices of BIS. (v)
  • 7. 14. Handbook on Functional Requirements of Buildings (Other than Industrial Buildings) (SP 41: 1987) 15. Handbook on structures with Reinforced Concrete Portal Frames (without Cranes) (SP 43: 1987) 16. Handbook on Structures with Steel Lattice Portal Frames (without Cranes) (SP 47: 1987) 17. Handbook on Building Construction Practices (Other than Electrical Services) (SP 62: 1997) 18. Handbook on Construction Safety Practices (SP 70: 2001) This Handbook has been written with a view to provide detailed background information on the provision of Indian Standard on Code of Practice for Design Loads (Other than Earthquake) for Buildings and Structures : Part 3 Wind Loads [1S875 (Part 3): 1987] and also the use of standard for arriving at the wind loads on buildings and structures while evaluating their structural safety. The Handbook will serve as a guide for all those engaged in the structural design of wind sensitive buildlngs and structures due to their shape, slenderness, flexibility, size and lightness. It maybe noted that the Handbook does not form part of any Indian Standard on the subject and does not have the status of an Indian Standard. Wherever, if there is any dispute about the interpretation or opinion expressed in this Handbook, the provisions of the codes only shall apply; the provisions of this Hankbook should be considered as only supplementary and informative. The Handbook is based on the first draft prepared by Shri S.K. Agarwal, Head, Wind Engineering, SERC, Ghaziabad. The draft Handbook was circulated for review to STUP Consultants Ltd, Mumbai; National Council for Cement and Building Materials, New Delhi; Central Public Works Department, New Delhi; Indian Institute of Technology, Chennai; Indian Institute of Technology, KanpuG Structural Engineering Research Centre, Chennai; M.N. Dastur & Co Ltd, Kolkata; Meteorological Office, Pune; Indian Institute of Science, Bangalore; University of Roorkee, Roorkee; Tandon Consultants Pvt Ltd, New Delhi; Central Electricity Authority, New Delhi; Indian Institute of Technolo~y, Kharagpuq Indian Institute of Technology, New Delhi; Engineers India Ltd, New Delhi; N.T.P.C., Noida; Ministry of Railways (RDSO), Lucknow; Department of Space, Bangalore; Nuclear Power Corporation, Mumbai; Moti Lal Nehru Regional Engineering College, Allahabad; VaJcilMehta Seth, Ahmedabad; Anna University, Chennai; UNITECH, New Delhi; Consulting Engineering Services (I) Pvt Ltd, New Delhi; Tata Consulting Engineers, Mumbai; Housing &Urban Development Corporation, New Delhi; National Institute of Construction Management and Research, Mumbai; Howe India (Pvt) Ltd, New Delhi; Army Headquarters, New Delhi; Institution of Engineers, New Delhi; Gammons India Ltd, Mumbai; Central Building Research Institute, Roorkee; Department of Science & Technology, New Delhi; Metallurgical& Engineering Consultants (India) Ltd, Ranchi; Planning Commission, New Delhi; and views expressed by them were taken into consideration while finalizing the Handbook. (vi)
  • 8. Contents Clause Page O INTRODUCTION ... ... 1 0.1 Background ... ... 1 0.2 Nature of Wind ... ... 1 0.3 Shortfalls of the1964 Code ... ... 5 1 SCOPE ... ... 8 2 TERMINOLOGY ... ... 8 2.1 Angle of Attack ... ... 8 2.2 Breadth ... ... 8 2.3 Depth ... ... 8 2.4 Developed Height ... ... 8 2.5 Effective Frontal Area ... ... 8 2.6 Element Surface Area ... .. 8 2.7 Force and Moment Coefficients ... ... 9 2.8 Ground Roughnes ... ... 9 2.9 Gradient Height ... ... 9 2.10 Pressure Coefficient ... ... 9 2.11 Suction ... ... 10 2.12 Solidity Ratio’@’ .,. ... 10 2.13 Fetch Length ... ... 11 2.14 Terrain Category ... ... 11 2.15 Velocity Profile ... ... 11 2.16 Topography ... .,. 11 3 WINDSPEEDANDPRESSURE ... ... 11 3.1 Basic Wind Speed ... ... 11 3.2 Design Wind Speed ... ... 13 3.3 Risk Coefficient ... ... 13 3.4 Terrain, Height and Structure Size (k2Factor) ... ... 14 3.5 Fetch and Developed Height Relationship ... ... 14 3.6 Topography (ks) ... ... 17 3.7 Design Wind Pressure ... ... 17 4 WINDPRESSURE ANDFORCES ONBUILDINGS/STRUCTURES ... .. 18 4.1 General ... ... 18 4.2 Pressure Coefficients ... ... 18 4.3 Force Coefficients ... ... 19 5 DYNAMIC EFFECTS ... , ... 20 6 GUSTFACTOR (Go ORGUSTEFFECTIVENESS FACTOR (GEF,) METHOD.. 20 7 WINDTUNNEL MODELSTUDIES ... ... 21 8 APPLICATIONFCODAL O PROVISIONS ... ... 22 9 ASSESSMENT FWINDLOADS O ONBUILDINGS NDSTRUCTURES ... A ... 29 LIST OF SOLVED EXAMPLES ON Rectangular Clad Buildings ... ... 29 Free Roof ... ... 81 Miscellaneous Structures (Force Coefficient Method) ... ... 91 Miscellaneous Structures (Gust Factor Method) ... ... 108 (vii)
  • 9. SP 64 (S & T) :2001 O INTRODUCTION which approached or crossed the Indian coasts during 1890 to 1960, together with the wind data available 0.1 Background from about 10-12 continuously recording Dynes Pres- A large number of structures that are being constructed sure Anemograph (DPA) stations which existed at that at present tend to be wind-sensitive because of their time, to get an overall picture for the country. However shapes, slenderness, flexibility, size and lightness. 3-cup anemometer readings were not much used in the Added to these are the use of a variety of materials preparation of wind maps because much of such data which are stressed to much higher percentage of their were synoptic. ultimate strength than in earlier days because of better The height of DPA instruments varied from 10 m to assurance of the quality of materials. In the social 30 m at different places. Therefore only one extreme environment that is developing world over, the ancient value of wind was given up to 30 m height from ground philosophy of accepting continuing disasters due to level without any variation in-between. Further, l/10th wind as ordained by ‘fate’ and Gods is giving place to power law had been adopted regardless of terrain demands for economical wind resistant designs. These conditions, for indicating variation of wind speed with factors have demanded a more realistic, if not, precise height from 30 m to 150 m, for which there was no definition of wind loading. Updating of some supportive evidence. The code gave two wind pressure International Codes of practice, notably the British, maps (one giving winds of shorter duration <5 minutes Australian, Canadian, American and French has been and another excludlng winds of shorter duration) and effected fairly frequently over the last two decades and there was no clear guidance for using either or both of the present versions incorporate most of the advances them. made in understanding the wind characteristics and its effect on structures. The new discoveries are such that With the publication of the recent revised wind code, it is clear that mere issue of amendments to the earlier IS 875 (Part 3) : 1987, an attempt has been made to wind Code IS 875 : 1964 will not be justifiable. The remove these deficiencies and provide to the Indian recently issued wind code ‘Code of practice for design structural engineer adequate guidelines for arriving at loads (other than earthquake) for buildings and more rational wind loading for design purposes. structures’ IS 875 (Part 3): 1987 differs in many ways from the previous Code first issued in 1964 and 0.2 Nature of Wind attempts not only to rectify the shortfalls of the 1964 0.2.1 Wind means the motion of air in the atmosphere. code but incorporates recent knowledge of wind The response of structures to wind depends on the effects on structures. The height up to which velocities characteristics of the wind. From the point of view of are given has now been raised to 500 m and the assessing wind load, it is convenient to divide the wind loadings on as many of the commonly encountered into two categories: ‘Rotating and Non-rotating’ buildings and structures, for which there are no other winds. Rotating winds are caused by tropical cyclones Indian Standards, have been included. Although not and tornadoes. The wind speeds caused by these may explicitly stated, the code recognizes the fact that most exceed 200 kti. The duration of such winds at any of the high winds in India occur due to short duration Ioeation varies from 2 to 5 minutes in the case of rotating winds like tropical cyclones along the Coasts tornadoes and thunderstorms and about 3 to 4 days in or Tornadoes elsewhere, and nearly rectilinear winds case of tropical cyclones. Non-rotating winds are of short duration like thunderstorms at many places. In caused by differential pressures and thus move in this respect, the high wind loading conditions in India preferred direction. These are also called ‘Pressure are different from those of temperate zone countries System’ winds and when they persist for distances like like Europe and Canada. Much of the random response 50-100 km, are termed as ‘Fully developed pressure theories, which have been adopted in EuropanA-J.S. or system winds’. The intensity of such winds is usual]y Australian Codes are based on these ‘fully developed given in Beaufort Scale as in Table 1 (other scales for pressure winds’ or ‘pressure wind’ conditions and particular types of winds like cyclones have also been strictly cannot be applied in most parts of India. But proposed). Thunderstorms are rectilinear winds of their judicious use, in the absence of proper theories high speed lasting only a few minutes and start as a applicable to cyclones, tornadoes and thunderstorms strong vertical downdraft, from clouds which spread will give adequate safety margins and this is what the laterally on reaching the ground. They last for 2 to present 1S 875 (Part 3) :1987 attempts to do. 5 minutes and wind speed can exceed 200 km/h. In India, success in satisfactory codification of wind loading on structures has remained elusive so far. In 0.2.2 Gradient Winak most cases, codification has followed, not preceded Winds are primarily caused by the differences in structural failures or distress. The wind maps given in temperature over the earth’s surface because the the 1964 version of the code had been prepared mainl y intensity of the sun’s radiation received at different on the basis of extreme value wind data from storms 1
  • 10. SP 64 (S & T) :2001 latitudes varies, and land areas heat and cool quicker 0.2.3.1 Logarithmic profile than the sea. Ocean currents also affect the temperature distribution by transporting heat from one part of earth The logarithmic profile of the variation of mean wind to another. The differences in temperature give rise to speed with height is given by the gradients of pressure which set the air in motion. V~F = Ilk. lo& zI@ ...(1) Near the earth’s surface, the motion is opposed, and the wind speed reduced, by the surface friction. At the surface, the wind speed reduces to zero and then begins design wind velocity at height z, to increase with height, and at some height, known as von Karman’s constant with a numerical the gradient height, the motion may be considered to value of 0.4, be free of the earth’s frictional influence and will attain height above ground its ‘gradient velocity’. This velocity depends on the is the surface roughness parameter, pressure variation at that height in the plane parallel to the friction velocity defined as ~, the earth’s surface. The gradient height increases with the skin friction force on the wall, and the roughness of the terrain on the earth’s surface and is taken to vary from about 300 m for flat ground to the density of air. about 550 m for very rough terrain, in the Indian and 0.2.3.2 Power luw a few other national codes. Although, the gradient height is confused in many codes to be the same as the Another representation for the mean wind speed edge of the earth’s (planetary) boundary layer, the two profile is the simple power law expression: heights are not identical. True gradient height lies well above the edge of the earth’s boundary layer height. VziVR (?,kR) = a ...(2) The Indian Code has adopted a carefully written where definition to imply this difference. VR = the speed at a reference height ZR, usually taken as the standard meteorological height 0.2.3 Variation of Mean Wind Speed with Height of 10 m, and At the earth’s surface the wind speed is zero and, in a = a constant for a particular site and terrain. conditions of neutral stability, there is a continuous 0.2.4 Nature of Wind Flow Past Bodies increase of mean wind speed from the ground to the gradient height. A number of laws for defining this 0.2.4.1 The nature of flow of a fluid past a body wind speed profile have been suggested, the most resting on a surface depends on the conditions of the widely used of which is the logarithmic profile. The surface, the shape of the body, its height, velocity of empirical power law profile is also used in many codes. fluid flow and many other factors. The flow may be Table 1 Beaufort Scale for Wmd Speeda (Clause 0.2.1) Beaufort Description speed Deacrtptionf Wind Effects o No. of Wind ds o Calm < r3.4 No noticeablewind 1 Lightairs 0.4-1.5 Barelynoticeablewind 2 Lightbreeze 1.6-3.3 Whrdfelt on face 3 Gentlebreeze 3.4-5.4 Windextendstightflag,hair is distuti, clothingflaps 4 Moderatebreeze 5.5-7.9 Windraisesdust,dry soil,loosepaper,hair disarranged 5 Freshbreeze 8.0-10.7 Forceof windfelt on body, driftingsnow becomesair borne; timitof agreeablewindon land 6 Srrongbreeze 10.8-13.8 Umbrellasused with difficulty;hair blown straigh~dlftlculty in watking steadily;windnoiseon ears unpleaaan~begin- ningof blizzards (snowflowsin air) 7 Moderategale 13.9-17.1 Inconvenience whenwatking felt 8 Freshgale 17.2-20.7 progressinwalkingdiffIculcmaintainingbalancein gustsvery difficult 9 Stronggale 20.8-24.4 Peopleblownoverby gusts 10 Wholegale 24.5-28.5 smalltreesuprooted 11 Storm 28.6-34.0 Widespread&mage 12 Hurricane >34.0 Failureof illdesigned, structures,likelampposts,GI sheetsto majorfailures 2
  • 11. SP 64 (S & T) :2001 what is called ‘streamlined’ or ‘laminar’ flow or what pressures acting on the body surfaces in contact with is called ‘turbulent’ or ‘unsteady flow of random ‘it, and this reduction of pressure on the body’s leeward nature’. A streamline is defined as a line drawn through side accounts for a large proportion of the drag force. a moving fluid such that the velocity vector is Pressure forces act normal to the surface, and tangential to it. The streamlines coincide with the paths integrating the components of pressure forces over the of the particles in steady laminar fluid motion but not whole surface of the body in-line and perpendicular to when the fluid motion is turbulent. In turbulent fluid the fluid direction results in alongwind (or drag) and motion, the velocity and direction of the particles of acrosswind (or lift) forces. These are additional to the small masses of fluid fluctuate in time, mostly in a skin-friction drag, which is caused by the viscosity of random and chaotic manner. In uniform flow each the fluid and acts tangentially to the surface. The drag streamline has the same constant velocity, but in flows resulting from the pressure distribution is referred to of viscous fluids near a solid boundary, the velocity at as the pressure drag, and is kept to a minimum in the boundary is reduced to zero by the effects of shapes used in aircraft wings called aerofoil sections, viscosity. Thus the velocity along the streamlines which are designed to avoid flow separation. increases with distance of the streamline from the solid boundary until a final unretarded velocity is attained. Except for surfaces with pronounced protuberances The region of retarded fluid, which is indicated by the that may fix the positions where the flow separates, the broken lines in Fig. 1 is referred to as the boundary positions of transition from laminar to turbulent flow layer. The flow over the surface within the boundary and of flow separation from the surface are dependent layer may be laminar at an upstream position but on the Reynolds number (Re) of the flow, transition to turbulent flow may take place at some R== pvl~ = WV ...(3) position as the flow proceeds downstream along the surface. This transition takes place over a distance where along the flow direction. If the flow is subject to an adverse gradient, that is a pressure gradient opposing p and v are, respectively, the dynamic and kinematic it (such as may be induced by flow over a concave viscosities of the fluid and 1 is a typical length. surface, or other circumstance in which it is forced or allowed to expand), its velocity throughout the The Reynolds number is a measure of the ratio of the boundary layer is further retarded and at some position inertia forces (that is, force due to acceleration of fluid along the surface may be reduced to zero slightly particles) to viscous forces in a fluid. above the surface. Then the opposing pressure will drive the fluid in opposite direction (reversed flow). 0.2.5 Flow Patterns The boundary layer flow becomes detached from the 0.2.5.1 Around circular cylinders surface and large eddies are formed and are discharged into the region behind the body called the wake. These We will first consider flow pasta structure of circular eddies are usually discharged either randomly or at cross-section, since this shape is used in many tall and fairly regular intervals, dependtng on the vebcity of even short structures. The flow patterns around a the fluid and the dimensions and shape of the body. circular cylinder are sketched in Fig. 2, and show the The energy carried downstream by these eddies marked influence of Reynolds number (Q. In the reduces the pressure in the wake and hence the subcritical flow regime Fig. 2(a) the boundary layer + v+ la FIG. 1 GROWTH OFABOUNDARY LAYERINA FAVORABLEPRESSURE GRADIENT 3
  • 12. 5P 64 (S & T) :2001 remains laminar up to the points of separation, which width of the wake and an increase in cd. The periodic occur at about 80° from the stagnation point P. vortex shedding in this regime is both weak and Vortices are formed regularly and alternately from random. The increase in cd continues until Re = 3 X 106 each side of the cylinder and are shed into the wake. and the position of the separation point stabilizes at The width of the wake, and hence the value of the drag about 109°. In :his transcritical (sometimes, perhaps coefficient Cd, is greatest in the subcritical flow more correctly, referred to as hypercritical) regime regime. When the surface is smooth, at about a Fig. 2(d) the value of cd decreases slowly with increase R, = 2 x 105, the laminar boundary layer becomes of Reand the wake contains peak energy at frequencies turbulent at a forward position on the cylinder surface. higher than in the subcritical regime vortex shedding The separation point shifts more or less suddenly to an frequency. The flow patterns of Fig. 2 are for angle of about 120° to 130°. In this critical regime stationary smooth-surface cylinders in a smooth Fig. 2(b) cd falls rapidly as the Reynolds number approach flow; they are modified by surface increases to 5 x 105when its lowest value is reached. roughness, by turbulence of the incident wind, and by Thereafter, increase of Re brings the flow into the motion of the cylinder and height to diameter ratio of supercritical regime Fig. 2(c) with an increase in the the cylinder. 1 -a) -> J I Ts -m 1WAKE G$- c’ ie = 9 sW” -- ,.‘. e INla! Ts ——— ——_ __ fbl } WAKE = 50”IN . 6& IN 1 .7UW WAKE 1 . . .- .--..--.” *6 J . . . . ..----.”- ., . ..- 1s -—.. --a 3 WAKE ~“ ~ ‘U/ ldl ... . .. . ... .. J LB = Laminar Boundaty Layer T= Transition from Laminar to Turbulent Boundaty Layer TA = Re-attachment of Turbulent Boundary Layer LS, TS = Separation of Laminar and Turbulent Boundaries Respectively TB = Turbulent Boundaty Layer NOTE — Broken line indicates boundary of separated flow. (a) Subcritical, 300 c R, <2 x 105, Q= 1.2 a= 0.2; (b) Critical,2 x 105 c R. c 5 x 105,1.2> Cj >0.3, 0.2< S, c 0.5; (c) Super-critical, 5 x 10b < Re c 3 x 106, 0.5s ~s 0.7, S = 0.5; (d) Transcritical (Hypercritical), R, >3 x 1C6,Q = 0.7, S = 0.27, R,= V&.1,where dis the diameter of the cylinder FIG. 2 SKETCHES FTWO-DIMENSIONAL O AIRFLOWPATTERNS ROUND CIRCULAR A A CYLINDER 4
  • 13. SP 64 (S & T) :2001 0.2.5.2 Around other bluff bodies equivalent static load. Static wind effect primarily causes elastic bending and twisting of structure. The A body is said to be a bluff body if the ratio of its dynamic effects of wind are either periodic forces such dimension parallel to the flow to its dimension as due to Vortex Shedding, Flutter, Galloping and perpendicular to the flow does not differ by more than Ovalling or non-periodic such as turbulent bufetting about 6 and whose drag coefficient based on the (see Table 2). smaller dimension exceeds about 0.1. Circular cylinder, square and rectangular prisms, etc, are 0.3 Shortfalls of the 1%4 Code examples. As an example, the flow patterns around a 0.3.1 The Code, which was published more than 35 long square-section prism are sketched in Fig. 3. The years ago has provided reasonably good guidance to patterns, and hence the values of the drag coefficient structural engineers for the design of most of the Cdcan be considered independent of R, if R, is > about simple structures. In most cases, its provisions have 104because the positions of the points of separation of been safe, if not conservative. the flow from the body are fixed by the sharp corners. They are, however, influenced by the turbulence of the A look at some of the recent International Codes approaching stream, the effect of which may be to however, clearly indicates the significant advances cause the flow which has become detached at a made in wind engineering in the last few years. Not windward comer (A) to reattach to the side, until only is there an improved knowledge of the charac- finally separated at the leeward comer. Thus in teristics of wind, but there have been new trends, turbulent flows the width of the wake is reduced innovations and requirements of structural design, compared to that in smooth flow, with a corresponding which demand a more accurate definition of wind reduction in the value of Cd. forces. Viewed from this background, the shortfalls of IS 875:1964 must be understood in today’s context. In the revision of the Code, an attempt has been made to overcome the obvious shortfalls and update the {.- , —- information to present-day knowledge of wind <u -.—— - —---- engineering. A serious attempt has been made to ensure that the new phenomenon introduced or/and discussed in the 1987 revision are free from am- biguities and not significantly beyond the existing knowledge base in the country. Some of the more important shortfalls that had surfaced over the years of -- _______ f--- .-. .-77-’ A. .... . c the Code of 1964, which provided the main impetus to the revision of the 1964 Code are briefly summarized below: 0.3.2 Wind Zoning Of interest to structural designers are wind pressures of short averaging time and gusts with averaging time of say 3 to 15 seconds. The wind map zoning in the —-—__ Ibl 1964 Code represented the state of knowledge of the wind climate and measurements taken earlier over (a) Smooth Incident Flow, Cd= 2.2; (b) Turbulent some 30 years. Several studies have since been Incident Flow, Cd= 1.6 published based on increasingly available data. It was FIG.3 SKETCHES FAIRFLOW O PATTERNS AROUND abundantly clear that the earlier wind zoning either PRISMS OFSQUARE SECTION WITHSHARPCORNERS over-estimated or under-estimated the occurrence of extreme wind speeds in different parts of the country. 0.2.5.3 Over buildings Thus the revision of wind map zoning was long overdue. Figure 4 shows sketches of typical flow patterns around buildings, most of which can be classed as bluff 0.3.3 Risk Level bodies. In the 1964 Code, no indication was available about 0.2.6 Wind Effects on Structures the return period. Experiences all over the world, by Wind effects on structures can be classified as ‘Static’ and large, has favoured designing normal structures and ‘Dynamic’. Strictly speaking, wind effects are for a life and return period of 50 years as these criteria, only dynamic in nature but in most of the codes these seem to yield safe and economical loads for normal dynamic effects are expressed in terms of an structures. For wind-sensitive structures and for 5
  • 14. SP64(S&T):2001 (0) —*-— (b) (d) (a) Flat roof H/b = 0.5, Flow Re-attaches; (b) Flat Roof Mb = 2, No Flow Re-attachment; (c) Low-pitch Roof, Flow Re-attaches; (d) High Pitch roof, No Flow Re-attachment FIG. 4 SKETCHESOF FLOW PAST LOW-RISE BUILDINGS SHOWINGTHEEFFE~S OFALONG-WIND WIDTHAND OF ROOF PITCH ON THE SEPARATEDREGIONINTHEWAKEOFTHEBUILDING Table 2 Wind Effects on Structures (Clause 0.2.6) I WindEffects I 1 I I I 1 I 1 ! I I I Dueto vortex Buffeting Due Ovalling Gatloping Flutter T Dueto Atmospheric Buffeting by Excitation to Periodic (Tldn Walled (Non-circular (BridgeDecks, Turbulence TurbulentWala (Slender Wakeof other Structures)like Chimneys, AntennaDkh) of other Structures)like structures Chimneys, Conductors, structures Chimneys, Cooling CableBridge, Cooling Towers,etc Towers,etc) Towers,Stacks, BridgeDecks, etc 6
  • 15. SP 64 (S & T) :2001 structures with post-disaster functions, the return height may not be affected significantly by the low period is often increased to 100 years. As a matter of value of the power index, the 1964 Code would yield fact, for structures of exceptional importance the pressures which are under-estimates in the upper return period could logically be even higher to reduce regions of tall structures where more precise values are the risk levels still further. These issues are further needed. The Code did not indicate variations with discussed in 3.3. terrain roughness, and was silent about wind pressures above 150 m from ground. With tall structures already 0.3.4 Wind Velocity Measurement reaching heights of 300 m in the country and still taller The wind instruments used by meteorologists are structures on the drawing board, the short falls of IS 875 : 1964 became particularly evident for tall generally calibrated in terms of wind velocity at standard atmospheric conditions of 15 ‘C and 760 mm structures. mercury pressure and measure the wind velocity with 0.3.6 Dynamic Analysis an averaging time of about 3 seconds . The wind For tall, long span and slender structures a ‘dynamic pressure is evaluated by the equation p = K@, where analysis’ of the structure is essential. Wind gusts K is a constant. The Code of 1964 gives wind pressure cause fluctuating forces on the structure which induce and these were arrived at from the velocities by using large dynamic motions, including oscillations. The a value of K which is higher by 25 percent as compared severity of the dynamic motions and/or wind-induced to other International Codes. oscillations depends on the natural frequency of 0.3.5 Wind Variation with Height and Terrain vibration and the damping of the structure. The motions are induced in both ‘along-wind’ direction as The variation of wind velocity with height and well as ‘across-wind’ direction. The ‘along-wind’ character of surrounding terrain has important response of the structure is accounted for by a implications in structural design. The 1964 Code magnification factor (often called the ‘gust factor’ ) specified constant pressure up to a height of 30 m and applied to the static or direct forces. The ‘across-wind’ thereafter, a variation corresponding to the following response requires a separate dynamic analysis. The equation was given: 1964 Code did not give any guidance on these aspects Pz = P30 (zj30)a ...(4) of structural design of tall structures. where 0.3.7 Size of Structure Pyj = basic wind pressure which is constant up to The 1964 Code did not indicate any correlation height of 30 m; between the structure size and wind loading. The z= height in m above ground of point under magnitude of the load imparted on a structure by a gust consideration; and depends, to a significant extent, on the size of the a= power index, with a value of 0.2. structure. The reason is that the spatial extent of a gust of wind in any directions, having the same velocity as Whenever such power laws are used, the generally that specified in the Code is small-being about 25 m to accepted norm in International Codes is to take a 150 m at any instant of time. Thus, a large structure constant velocity up to 10 m height and thereafter a will not experience the highest wind specified at all variation given by the following equation to obtain the points on it at the same instant and hence the average velocity profile: total load on the structure will be less than the value Vz = v~~(Z/lo)a ...(5) obtained by assuming the highest specified wind over its entire extent. Allowance for this needs to be made, where although locally the load will be that due to the highest V,() = velocity at 10 m above ground; wind. z = height in m of point above ground under 0.3.8 Shape of Structure consideration; and a= power law index whose value varies from Structures can be of many shapes, particularly when 0.07 to 0.35 depending upon the terrain and we combine the whole gamut of possibilities in averaging time; larger indices correspond to concrete and structural steel. The ‘direct or static’ wind increasing roughness of terrain and larger force on a structure is given by the equation F = SAP, averaging times. where S is the shape facto~ A is the projected area in the plane perpendicular to the wind direction; and P is In recent times, the logarithmic law is being used more the wind pressure. The 1964 Code gave values of the often, mainly due to its better theoretical backing. shape factor for the basic shapes (circular, octagon and Considering that the power law index of IS 875:1964 square), but this information needed to be extended to was applicable to pressures, the corresponding index other shapes for various wind directions. For steel for velocity would be 0.1. While structures of low structures of different plan shapes, shielding 7
  • 16. SP 64 (S & T) :2001 configurations and solidlty ratios, no guidance was 2 TERMINOLOGY avai Iable. Therefore it became essential for the 2.1 Angle of Attack [3.1.1] designer to either consult other International Codes or take advice from specialists. Angle between the direction of wind and the reference axis is known as the angle of attack. As shown in 0.3.9 Pressure Coefficients Fig. 5(a), angle %’ is angle of attack, between the direction of wind and reference axis (horizontal line). All over the world, the unsatisfactory performance of relatively light weight low rise buildings such as the 2.2 Breadth [3.1.2] thatched houses in rural India or houses with sheet Horizontal dimension of the building measured normal roofing, led to updating of pressure coefficients to the direction of wind, is termed as the breadth of the (internal and external) for various configurations of structure. As shown in Fig. 5(b), breadth =AB for wind buildings, wall openings and wind directions. along the longitudinal reference axis and BK for wind Additionally, a need was felt to define higher local perpendicular to it. For other wind directions, such as external negative coefficients at certain locations to at angle ’0’, it is the maximum width seen along the cater to concentrations near edges of walls and roofs, wind such as the projection of AB’ on a plane where the failures are primarily initiated. It is perpendicular to the direction of wind. In Fig. 5(b), recognized that considerable research is still needed in this is AE. this area. 2.3 Depth [3.1.3] 1 SCOPE Horizontal dimension of the building measured in the direction of wind is the depth of the building. As shown The aim of this Handbook is to provide detailed in Fig. 5(b), depth = AA’for wind along the reference background information on the provisions of IS 875 axis and BA for wind perpendicular to the reference (Part 3) : 1987 and the use of the standard for axis. For other wind directions, such as at angle ‘f3’,it estimating wind loads on structures. The emphasis has is the maximum length from the first point on the body been on the identification of source material used, which meets the wind to the point where a line from philosophical ideas behind the changes in 1987 edition this point along-wind meets a boundary of the body and guidance to the use of the standard. Clauses 0.1 such as BD. and O.2 of this Handbook contains background 2.4 Developed Height [3.1.4] information, philosophical ideas, nature of wind and wind effects on structures. Clause 0.3 brings out the The velocity increases up to certain height from the shortfalls of the earlier standard (IS 875: 1964), ground when wind passes from one terrain category vis-a-vis wind zoning, risk level, wind velocity and its to another terrain category. After covering a certain variation with height, dynamic analysis, effect of distance in the new terrain, the velocity profile does structure size and shape. Clause 2 explains the various not change any more and is said to be fully developed. terminology used in the standard. Clause 3 discusses Before becoming fully developed, the velocity profile the main features of the revised Code like new wind will have a mixed character of the fully developed zoning map, estimation of design wind speed, concept profiles of the upstream and downstream terrains. In of return period, effects of terrain roughness and this intermediate region, the height up to which the structure size, local topography, correct velocity profile changes in the new terrain is known as velocity-pressure relationship. In Clause 4 wind the Developed Height. [Table 3] gives the vahtes of the pressure and forces on buildings/structures are Developed Height as a function of the distance for the discussed in light of pressure coefficient method. four terrain categories. Methodology for estimation of Details of force coefficient method are given in 4.3 the developed height and for using the same has been while dynamic effects like along-wind and illustrated in the solved Examples given in 3.5. across-wind responses are explained in 5 and 6. 2.5 Effective Frontal Area [3.1.5] Requirements of wind tunnel studies are detailed in 7. Clause 8 conducts the user to the various provisions of As given in Fig. 5(a) for angle of attack ’6’ = O, the standard with the help of flow diagrams. Clause 9 effective frontal area is ABCD, which is the projected contains the methodology for the estimation of wind area of the structure normal to the direction of the loads on low rise buildings, with the help of examples. wind. For ‘til’not equal to zero, the frontal area is ACEF. Clause 9.3 is devoted to the estimation of dynamic effects of wind using gust factor method and contains 2.6 Element Surface Area [3.1.6] typical solved examples of structures. In Fig. 5(a), for angle of attack ‘f3’= Oat height z, area NOTE—AllClauses,FiguresandTablesin SquareBracketsin PQRS represents the element surface area of height the HandbookRefer to Clause Numbers,FigureNumbersand Az. In the element surface area pressure/force TableNumbersof IS 875(Part3): 1987,respectively coefficients are to be taken constant. 8
  • 17. SP 64 (S & T) :2001 2.7 Force and Moment Coefficients [3.1.7] 2.9 Gradient Height [3.1.9] When a structure is immersed in flowing fluid like air, When wind moves over large distances in a particular a force is exerted on it which depends on the nature of terrain, the velocity becomes constant above a certain flow, type of structure and is expressed in terms of height. The height above which the velocity is found non-dimensional coefficient. This non-dimensional to be constant and is not influenced by surface friction coefficient is termed as force-coefficient. is called the Gradient Height. Implicitly, the Code There can be components of force in the directions identifies the gradient height as the height of the other than the direction of wind. The force component planetary boundary Iayev the wording of the definition along the direction of wind is called drag force (now- is obviously very carefully done, since the a-days, more frequently as along-wind force) and the meteorologists’ identify the gradient height as one at force components in the other normal directions are which there is a balance of Coriolis and pressure termed as lift force (or across-wind force) and side forces. The meteorologists’ definition of gradient force (or transverse force). Likewise, the moment height puts it well above the edge of the atmospheric coefficient tending to bend the structure in the direc- boundary layer. Thus the definition of gradient height tion of wind is called the over turning moment, the used in the Code is not the same as the gradient height coefficient tending to twist it about a vertical axis as as understood by the meteorologists. torque and the coefficient in the transverse direction as 2.10 Pressure Coefficient [3.1.9] ‘sideways’ moment coefficient. 2.8 Ground Roughness [3.1.8] The pressure exerted by wind at a point on the structure wil I be different from the pressure of wind far The obstructions like trees, buildings, structures, etc, upstream of the structure, called ‘free stream static on ground are termed as ground roughness. The ground pressure’. The ratio of the difference of the pressure roughness tends to retard the flow near ground because at a point on the structure and static p~ssum of the of momentum transfer between layers of wind. The incident wind to the design wind pressure is termed as velocity profile of wind is dependent on the ground Pressure Coefficient. roughness. Although the nature of ground roughness on the surface of the earth varies from flat and very The concept of pressure coefficient is similar to that of smooth to very rough as in the city centres with tall force coefficient. The pressure coefficient at a point buildings, it has been found convenient and adequate multiplied by design wind pressure yields the pressure to categorize them into four fairly distinct categories. at that point. J /’7 # e e“ WIND DIRECWM (e) AXIS RENCE (b) VJINDIN PLAN BUILDINGPLAN FIG. 5 WIND EFFECTSON A BUILDING 9
  • 18. SP 64 (S & T) :2001 The pressure coefficient may vary with height or 2.12 Solidity Ratio ‘$’ [3.1.9] width. The pressure acting towards the surface of In general, solidity ratio is the ratio of the sum of all structure is to be taken as positive and pressure acting the areas’ of each element of a framed structure away from the surface of structure is to be taken as normal to the wind to the area of the boundary negative. enclosing the structure. Care must, however, be taken 2.11 Suction [3.1.9] in applying “this definition. In a plane frame, the boundary area is to be taken as that of the main frame Atsomepoints on anybody, pressure may fall below only and the areas of appurtenances which are within atmospheric pressure and is called ‘suction’. Suction the boundary [as AntennaAl, or ladderLl, in Fig. 6(a)] is the pressure acting away from the surface of treated as part of the element of the frame. However, structure; negative pressure is the same as suction the area of the antenna or an appurtenance outside the pressure. boundary such as the AntennaA2 or lightening arrester 6(a) Plane Frame 0’ c’ (ii) (i) 6(b) Space Frame FIG.6 SOLmITY RATIO PLANE SPACE — AND FRAME 10
  • 19. SP 64 (S & T) :2001 L~ in Fig. 6(a) should not be taken into account either Terrain category 1 (TC- 1) applies to exposed open as part of the enclosed boundary or that of the frame terrain with few or no obstructions and in which the in computing the solidity ratio. The loads on such average height of objects surroundings the structure is appurtenances outside the enclosed boundary must be less than 1.5 m. Category 2 (TC-2) refers to open separately estimated and added to the load on the frame terrain with well scattered obstructions having heights at the appropriate point. In Fig. 6(a), the area enclosed generally between 1.5 to 10 m while Category 3 (TC-3) by ABCD k the boundary area and the area of shaded applies to terrain with numerous closely spaced elements to be considered for estimating the solidity obstructions having size of buildings/structures up to ratio is indicated. Similar principles apply in the case 10 m in height with or without a few isolated tall of space frames. In case of cross bracings, the structures. Terrain Category 4 (TC-4) means terrain projected area as seen from windward face shall be with numerous large high closely spaced obstructions. taken and added to other areas (shown shaded) to However, when fetch lengths are small, the velocity arrive at the total solidity ratio. If there are profile is not fully developed and suitable velocity appurtenances within the enclosed volume (ABCD profile with changes in terrain categories be A’B’C’D’) [see Fig. 6(b)(i)], then their area should be considered [5.3.2.4]. projected on the nearest windward frame for estimating the frame solidity ratio Fig. 6(b)(ii). The 2.15 Velocity profile [3.1.9] solidity ratio of each frame should be found and The variation of wind speed with height is called the appropriate shielding factor applied. Velocity Profile. The velocity profile is dependent on 2.13 Fetch Length [3.1.9] the terrain category, zonal velocity and the fetch length. Figure 8 shows the velocity profile in the four The distance over which wind has moved in a terrain categories. particular terrain category before approaching the 2.16 Topography [3.1.9] structure is known as the Fetch Length. The velocity profile of wind changes continuously over the fetch Geographical features such as mountains, hills, length before stabilizing at the variation given in escarpments, etc, of an area is known as the [Table 2]. The distance required for a stab]: profile to Topography of the area in which the structure is built be formed is given in [Table 3]. Distance AB in Fig. 7 and this affects the wind speed on and downstream of is the fetch length. these features. 2.14 Terrain Category [3.1.9] 3 WIND SPEED AND PRESSURE [5] Buildings, vegetation, walls, trees and waves at sea 3.1 Basic Wind Speed [5.2] contribute to the surface roughness and thus influence the local characteristics to which a structtue may be In 1960, there existed about 10-12 continuously exposed. The average ground roughness of large areas recording DPA stations in the country compared to is termed as Terrain Category. Based on the average about 50 or so such stations at present. The instruments height of the ground roughness four representative continuously record wind speed on Y-axis with time terrain categories having fully developed velocity on X-axis and in addition, record the direction of wind profiles are suggested [5.3.2] from the equivalent of a speed. Most of these stations are located on the coastal calm sea to inner city area dominated by tall buildings. belt. H MODIFIEO VELOCITY PROFILE DUE TO CHANGE OF ROUGHNESS H h: MEAN GROUND LEvEL APPROACHING VELOCITY PROFILE ‘I?==4’(b, (a) FIG. 7 EFFECTOFCHANGE INTERRAIN CATEGORIES 11
  • 20. SP 64 (S & T) :2001 The revised wind map is based mainly on the data from Cyclonic Storms — Cyclonic storms on east and west the anemograph records of 47 DPA stations for periods coasts are more intense over the sea than on the land. from 1948 to 1983. All these wind data have been West coast storms are less intense except in Northern published in India Meteorological Department publi- Sourashtra compared to east coast storms. Reports of cations, ‘Indian Weather Review, Annual Summary failures of structures at Sriharikota, Gujarat coast, Part-A’ published annually from 1948 onwards. The Paradeep and other places have been taken into ac- basic approach followed for preparing the wind map count for evolving the reference speed in these regions. is by extracting wind velocities, since analysis of stmc- Storm speeds begin to decrease once they cross the tures in many cases depends on wind speed directly coast and are normally taken to be effective up to a and also much of the available data on effects of terrain distance of about 60 km inland after striking the coast. is in terms of wind speed. The use of wind speeds for However, in Bengal coast its effect has been observed statistical analysis is also in line with the internatio- up to 110 km inland. A region along the sea coast nallyaccepted practice. The peak values of annual extending up to a distance of 60 km (and 110 km along maximum wind speeds (wind gustiness) for each of the Bengal coast) from the nearest coast line has been 47 stations formed the data for statistical analysis to identified separately from the main land for wind obtain the extreme wind speeds. In the statistical zoning. In addition, it has also been decided to give the analysis of all the annual peaks at each of the above 47 number of cyclones that have struck different sections stations in India, IMD used Fisher-Tippet Type-I of east and west coasts in the basic wind map for more (Gumbal) distribution. Before analyzing, recorded sophisticated design load estimation. values were reduced to values at 10 m height above ground for the normalized terrain Category 2. Since Dust Storms — Dust storms associated with high local the data for analyses came from DPA which has an wind speeds which are short lived and are particularly averaging time of about 3 seconds, analysis gives gust intense over Rajasthan plains have been considered. velocity values averaged over 3 seconds. These values Also Norwesters or Kal Baisaki winds over North for 50 year return period and 50 year structure life have Eastern plains during summer months have been ac- been given in [Fig. 1] for terrain Category 2. In addi- counted for. It has been suggested that the influence of tion to the use of data available from 47 DPA stations wind speed off the coast up to a distance of about up to 1983, the following effects have been suitably 200 km maybe taken as 1.15 times the value on the incorporated in the preparation of the basic wind nearest coast in the absence of definite wind data [5.5] velocity map: as in Australia. The occurrence of a tornado is possible in virtually any part of India. They are particularly Orography — Orography has been considered in the more severe in Northern parts of India. The recorded zoning of wind velocity map since it was observed that number of these tornadoes is too small to assign any continuous hills and mountains spread over a large frequency. The devastation caused by a tornado is due area affect wind speed, for example regions demar- to exceptionally high winds about its periphery and the cated by Vindhya mountains. The data spread seems sudden reduction in atmospheric pressure at its centre to match the orography of the country. resulting in a huge outward pressure on the elements of the structure. The regional basic wind speeds do not Palghat Gap — Extreme winds observed during mon- include any allowance for tornadoes directly. It is not soon season over the southern peninsula due to the the usual practice to allow for the effect of tornadoes funneling effect of Palghat gap (reported wind speeds unless special requirements are called for as in the case being up to 160 km/h) has been considered. of important structures such as satellite communica- 500 t I ++%% OPENSEA OPENTERRAIN FOREST StJWRRS CITY CENTFES FIG. 8 VELOCITY PROFILE OVERDIFFERENTTERRAINCATEGORIES 12
  • 21. SP64(S&T) :2001 tion towers. The wind speed can now be obtained up level’, on the other hand means the probability that a to 500 m height above the ground surface. Design wind given wind speed will be exceeded in a certain number speed up to 10 m height from mean ground level is of successive years which is usually the life of the taken to be constant. Although not stated in the Code, structure. The coefficient kl is identified in the Code turbulence level above 500 m is unlikely to be more for return periods of 5,25,50 and 100 years alongwith than 6 percent. Basic wind speed map of India has been recommendations regarding ‘mean probable design presented in the Code. The reference wind speed all life of structures’ of various types [Table 1]. For over the country has been found to fall into six ranges general buildings and structures of permanent nature, of basic wind speeds, varying from 33 m/s to 55 nds the return periods have been recommended to be 50 for a 50 year return period and a probability of ex- years and a life of 50 years for the structure. For all ceedence level of 63 percent. The indicated wind speed temporary structures including temporary boundary characteristics are in line with other International walls, it is recommended that a life of 5 years be Codes, namely short duration gusts averaged over a assumed and the appropriate multiplier kl as given in time interval of about 3 seconds applicable to 10 m [Table 1] be used. The normal value of risk level height in ‘open’ terrain. The Code recognizes that recommended is 0.63 for structures whose life there is not enough meteorological data to draw expectancy is equal to the return period. The factor kl isotachs (lines joining places of equal velocity) on the has been used to assess the effect of different risk wind map of India as seems to be the practice in some levels. other International Codes. At first sight, a risk level of 0.63, which is the prob- The revised map, when compared to that of the earlier ability that the design wind speed is exceeded once in Code shows that in general, in the following areas of the life of say N years of the structure under the the country, the wind velocity was previously under- condition that the probability of the exceedence of the estimated: design wind in any one year is l/N, seems rather high. — Nollh : North-eastern part of Jammu and However experience in many parts of the world has Kashmir shown that this amount of risk can be taken for normal — West: Coastal areas of Kutch in Gujarat structures. Although not given in the Code, the risk — East: Tripura and Mizoram level can be found from the formula The wind map indicates updated supplementary infor- r=l–(1–l/T)~ ...(7) mation (1877 to 1982) relating to the total number of where cyclonic storms. Occasionally, a user comes across a N = desired life of the structure in years, situation where the wind speed at a location on the T = return period in years, and boundary between two zones has to be obtained. If r = risk level. local wind data is not available, it is recommended that the higher speed of the adjacent zones be used for The designer or owner must decide the amount of risk, design. he is prepared to take. Let us take one example. 3.2 Design Wind Speed [5.3] Example. Only 10% risk acceptable, life 30 The design wind speed is dependent on the years, in zone with wind speed of 39 rids, geographical basic wind speed, return period, height Categoq 2, size of structure 30 m. To find the design above ground, structure size and local topography. The wind speed. format of the equation of design wind speed adopted From Eqn (7), we get in the new Code is as follows: UT = 1-( l-r)l’N Vz = Vb k, kz k~ ...(6) = 3.5x 10-3 where That is, this is the acceptable probability that the V. = design wind speed at height z in mls, regional wind speed of 39 rmlswill be exceeded in any Vh = basic wind speed of the wind zone, one year during the 30 year life of the structure for the k, = risk coefficient, accepted risk. Using the above values of risk level, life kz = terrain, height and structure size factor, and of structure and the quantities A and B corresponding k~ = local topography factor. to 39 m/s wind speed in [Table 1], one obtains 3.3 Risk Coefficient [5.3.1] kl = 1.165. There is sometimes confusion as to the meaning of Hence, the regional basic wind speed to be used for return period and risk level. Return period (Tin years) this structure should be 1.165 x 39 = 45.44 rids. Use is the reciprocal of the probability that a given wind of Eqn. (7) is necessary if the return period T only is speed will be exceeded at least once in any one year. known from analysis of wind data and risk level has to The word, ‘period’ sometimes causes confusion. ‘Risk be assessed. 13
  • 22. SP 64 (S & T) :2001 3.4 Terrain, Height and Structure Size (kz factor) to a height of 35 m at a distance of 0.5 km from B2. [5.3.2] Hence one takes the multiplier of TC-3 [Class C of The coefficient k2 has been indicated at different Table 2] up to a height of 35 m (by interpolation). heights in a convenient tabular form [Table 2] which Above this height, the multipliers of TC-1 are to be identifies four terrain categories (1, 2,3 or 4) and three used. At a height of 35 m, the multiplier corresponding classes (that is, sizes) of structures (A, B or C). The k2 to TC-3 is to be used when computing the design load factors are valid only up to the height at which they are on the tower, although the multipliers of both TC- 1 and specified. For example, the factor 1.17 in TC-2, class TC-3 are shown at this height in this sketch. The final A structure applies only up to 50 m height. As stated design multipliers are shown in Table 3. in [Note 2 of Table 2], values between 1.12 and 1.17 Table 3 Multipliers for a Structure in TC-3 with may be linearly interpolated between heights of 40 m Upstream TC-1 and 50 m or a constant value of 1.17 (the higher one) @ample 1) may be used between 40 m and 50 m. The coefficient k2 has different values [Table 33] when dealing with wind speeds averaged over 1 hour, which are required Height (m) Multipliers as per Multipliers as per [5.3.2.4(b)(i)] [AppendixB] for evaluating dynamic effects according to certain 10 0.99 0.82 theories. 15 1.03 0.87 3.5 Fetch and Developed Height Relationship 20 1.06 0.91 [5.3.2.4] 30 1.09 0.96 The revised Code had added the concept of fetch 35 1.10 1.04 length and developed height for considering the effect of change of terrain category. In the following 50 1.14 1.14 examples the methodology for considering this effect 55 1.15 1.15 is explained with the help of illustrations. NOTE- It is observedthat the applicationof [5.3.2.4(b)(i)] Example 1. A framed tower structure inside a big leadsto higheror conservativeload. town at a distance of 0.5 km from the edge of the town; the terrain outside the town isJat open, the structures Example 2. A chimney of height 150 m in open inside the town are closely spaced and of heights up to country at a distance of 10 km from clusters of scat- 10 m. Height of the tower 55 m. Tofind the design wind teredsmall villages all round with houses of height less speeds. than 10 m. Tofind the wind speed multiplier profile. Solution: Here, one can take the terrain outside the Solution: Since the terrain up to a distance of 10.0 km town as of category 1 (TC- 1) and the terrain inside the from the chimney is open, one may assume that the town to be of category 3 (TC-3). This problem is a case terrain is of category 1 up to 10 km from the chimney. of wind moving from a lower terrain catego~ to a In view of the location of clusters of small villages higher terrain category. Figure 9 gives a sketch of the beyond 10 km, one can consider the approaching configuration. profile to chimney to be TC-2 from beyond 10.0 km and TC- 1 for a distance of 10 km from the chimney. In the above sketch,AA is the edge of TC-1profile (say, Figure 10 gives the sketch of the configuration. It may where the factor as per [Table 2] is 1.35), B1B2is the be observed that in this problem, the wind flows from approach terrain of TC- 1 and B2B3is the town centre a higher terrain category to a lower terrain category. In terrain of TC-3 [5.3.2.1(c)]. The tower is located at C, Fig. 10,AA is the edge of the TC-2 profile (say the line a distance of 0.5 km from the beginning of the town at of multiplier 1.35), B1B2is the approach terrain TC-2 B2. In order to apply [5.3.2.3], one proceeds as follows: and B2B3 the TC- 1 in which the chimney is located. At C draw the profile of multipliers as per [Table 2, The chimney is located at C, which is located at a Class C] (since the height of the structure is more than distance of 10 km from the beginning of TC- 1, namely 50 m), corresponding to both the terrain categories 1 B2. To obtain the appropriate multipliers, one can and 3. Thus CDH corresponds to TC- 1 and CEFG to proceed as follows: TC-3. [5.3.2.4] allows one to use two options. As per [5.3.2.4 (b) (i)], one can use the multipliers of the i) Assume that TC- 1multiplier applies for the lowest terrain category, which in this case is TC-1, that entire height, as per [5.3.2.4 (b) (i)] is, CDHG. The second possibility is to use the proce- ii) Use the procedure of [Appendix B] as follows dure of [Appendix B]. To use the procedure of To use the procedure of [Appendix B], draw the varia- [Appendix B], one first notes the height up to which tion of the multipliers of TC-2 and TC-1 at C with the TC-3 profile has penetrated in the vertical direction height. These are mpectively CEFG and CDH. From in the terrain in which the structure is located. In this ~able 31of the Code,it is observed that the profile of case, [Table 3] indicates that TC-3 has penetrated up TC-1 penetrates up to a height of 80 m, in a distance
  • 23. SP64(S&T):2001 of 10 km. Thus one takes the TC- 1 multipliers of Class Table 4 Multipliers for a Structure in TC-1 with C (since the maximum chimney dimension exceeds 50 Upstream TC-2 m) up to a height of 80 m. This multiplier has an (Example 2) interpolated value of 1.17 at a height of 80 m. Above this height, one has to take the multipliers as per TC-2, Height (m) Multipliersas per Mukiptieras per Class C. But the multiplier as per TC-2, Class C has a [5.3.2.4(b) (i)] [AppendixB] value of 1.17 only at a height of 100 m as per [Table 10 0.99 0.99 2]. The recommendation of [Appendix B] is to take the 15 1.03 1.03 same value of the multiplier as per the terrain of 1.06 20 1.06 location (that is TC-1) up to the height of the upstream 30 1.09 1.09 higher terrain category at which the same multiplier is found as per [Table 2] of the Code. In this case, the I 50 I 1.14 I 1.14 I recommendation implies that the multiplier 1.17 at 80 I 80 I 1,17 I 1.17 I m height of TC- 1 must be continued up to a height of 100 1.20 1.17 100 m, above which only the TC-2 multipliers of Class 150 1.24 1.21 C are to be used. Table 4 gives the final recommended multipliers. NOTE Asobservedearlier[5.3.2.4(b)(i)]giveshigherloads — but is simplerto apply. A— . .— . -+-—–A —. v + / / + TC1 B3 —.— Tc .1 ~ TC-3 — DESIGN PROFILE FIG.9 DETERMINATION OFVELOCITYPROFILE NEARA CHANGE INTERRAINCATEGORY (LESSROUGHTOMOREROUGH) 15
  • 24. SP64(S&T) :2001 A .— . .— .— -—. .— A —.. tii’7,xiii# / .. /’ ./ TC2 Tcl BI IB2 Ic 83 ~— TC-1 PROPILE --—- TC-2 PROPILE DEStGNPWFtLE FIG. 10 DETERMINATION OFVELOCITY PROFILE NEARCHANGE INTERRAINCATEGORY (MOREROUGHTOLESSROUGH) Example 3. A TV tower of height 300 m located in the b) B1B2 is the approach terrain TC-2, B2B3is the centre of a city with tall buildings (greater than 50 m first intermediate terrain TC- 1, B3B4 is the in height) up to a height of 3 km from it, closely built second intermediate terrain TC-3 and B4B5is houses of up to 10 m height from 3 km to 10 km and the final terrain TC-4 in which the TV tower is jlat terrain beyond for 15 km at which sea coast is located. encountered. Wind is from the sea. To find the wind c) From Vable 3], it may be easily determined speed multipliers. that the edge of the TC- 1 profile starting at B2 meets the TV tower at “Clat a height of 100 m, Solution: This k a problem in which wind passes the edge of TC-3 profile starting at B3meets the through four terrains before reaching the structure of TV tower C2at a height of 250 m and the edge interest. At high winds, the sea can be taken as of the TC-4 profile starting at B4meets the TV equivalent to TC-2 due to the large waves that are tower at C3 at a height of 220 m and the edge generated. In this problem, TC-2 is followed by TC-1 of the upstream TC-2 profile is at a height of for 15 km and this is followed bf TC-3 for 10 km with 490 m, a final terrain category 4 for 3 km. The configuration d) All the four category profiles (of class C since is sketched in Fig. 11 where the multiplier profiles of the maximum dimension of the structure is TC- 1 to TC-4 are shown at the location of the TV more than 50 m) have been drawn with origin tower. As before, one can choose the simpler method at C, the base of the TV tower. of [5.3.2.4 (b) (i)] and use the multipliers of TC- 1 for e) Proceeding as before, one finds that TC-4 the entire height. To use the alternate method given in swamps TC-1 and is effective up to a height of [Appendix B], one draws first the developing profiles 220 m, from C to D. At D, one”encounters TC-3 from the beginning of each terrain [Table 3]. beginning at 1$ up to a height of 250 m. Thus a) AA is the edge of TC-2 (say the line of multi- the profile shifts from D to Eon TC-3 profile plier 1.35). at a height of 220 m and moves along the TC-3 profile from E to F, which is at a height of 16
  • 25. sP64(s&T):2001 A— Jui?- — .—— —— — .— —— —_ _ -A H IT TC-2 lc-t Skm 1 b3 7 km B,~ 3km “ , 7 1 — DESIGN PROFILE ‘A— TC-1 PRCFHE —x— TC-3 PROFILE —o— TC-2 PROFILE Tc-b PROFILE ----— FIG. 11 DETERMINATION OFDESIGNPROFILEINVOLVING ORETHANONE M CHANGEINTERRAINCATEGORY 250 m. Above F, the unpenetrated profile is the 3.7 Design Whd Pressure [5.4] far upstream TC-2 profile and this applies for the rest of the height of the TV tower. Table 5 One of the important modifications in the Code relates gives the final multipliers. to the veloeity-pressure relationship. In the earlier version of the Code, the pressure was over-estimated Table 5 Multipliers for a Structure in TC-4 with by about 25 percent for a given wind velocity. The Upstream TC-3, TC-1 and TC-2 correct equation given now reads as follows: (Example 3) pz = 0.6 VZ2 ...(8) where Height (m) Multipliers as per Multipliers as per [5.3.2.4(b)(i)] [AppendixB] Pz = design wind pressure at height z in N/m2, and VZ = design wind speed at height z in mh. 10 0.99 0.67 15 1.03 0.67 Strictly speaking, the coefficient 0.6 is only the most 20 1.06 0.83 probable average for the atmospheric conditions 30 1.09 0.83 prevailing in India during the whole year. A value of 50 1.14 1.05 0.6125 would be more appropriate in temperate zones above latitude of about 33°. The wind effects in terms 100 1.20 1.10 of static loading on the structure are determined from 150 1.24 1.10 design pressures as indicated in 4. A comparison of 200 1.26 1.13 wind pressures as per new and 1964 Code is given in 220(intetpulated) 1.27 1.19 (TC-3 vatue) the following example. 250 1.28 1.26 (lW2 value) Example. Estimation of design wind pressure for a 300 1.30 1.31(TC-2value) building as per 1S 875:1964 and IS 875 (Part 3): 1987. 3.6 Topography (kJ [5.3.3] Given: The coefficient k~ allows for undulations in the local A buildingof length35.0q width 15.0m, height15.0m terrain in the form of hills, valleys, cliffs, escarpments Life of structure 25 years and caters to both upwind and downwind Termin category 3 slopes. Methods for evaluation of k3 are given in Location: Delhi [Appendix C] of the Code. 17