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Department of Civil Engineering
School of Engineering & Technology
FOUNDATION
ENGINEERING
No. of
lectures
Courses to be covered Unit to be covered
2
Role of civil engineers in selection, design and construction of
foundation of civil engineering structures, Methods of soil
exploration, Sampling-disturbed and undisturbed sampling
Introduction & Site
Investigation
Unit 1
3
Various penetration tests, Correlation between penetration
resistance and soil design parameters, Selection of foundation
based on soil condition.
Introduction & Site
Investigation
4
Active and Passive earth pressure, Earth pressure at rest,
Rankine and Coulomb’s earth pressure theories
Earth Pressure
Unit 2
1
Earth pressure due to surcharge
Earth Pressure
2
Types of shallow foundations, mechanism of load transfer, Modes
of failure, Terzaghi’s bearing capacity theory
Shallow Foundations
Unit 32
Computation of bearing capacity in soils, Influence of various
factors, Use of field test data in design of shallow foundations,
Stresses below the foundations
Shallow Foundations
2
Settlement of footings and rafts, Allowable and maximum
differential settlements of buildings, Codal provisions,
Proportioning of footings and rafts
Shallow Foundations
Lecture plan
1
Types of pile and method of construction, Estimation of load carrying
capacity of a pile
Pile Foundation
Unit 43
Static and dynamic formulae, Load carrying capacity and settlement of
group of piles, Piles subjected to uplift, Negative skin friction
Pile Foundation
2
Pile load tests and interpretation of test data, Proportioning of piles,
Codal provisions
Pile Foundation
2
Methods of construction, Tilt and shift, Remedial measures during
sinking of well foundation
Well Foundations
Unit 5
2
Bearing capacity, Settlement and lateral stability of well foundation
Well Foundations
1
Mode of failure mechanism, Stability analysis of infinite slopes Stability of Slopes
Unit 6
2
Method of slices, Bishop’s simplified method Stability of Slopes
3
Types of retaining walls-gravity, semi-gravity, cantilever and counter
fort retaining walls
Retaining Walls
Unit 7
1
Stability analysis of retaining walls, Proportioning and design of
retaining walls
Retaining Walls
2
Concept of soil stabilization, Materials used, Methods of stabilization
Soil Stabilization
Unit 8
Books and References:
➢ Soil Mechanics and Foundation Engineering – Arora, K.R.
(Standard publishers and distributors, New Delhi, 1997)
➢ Basic and applied soil mechanics – Gopal Ranjan and Rao, A.S.R.
(Wiley Eastern Ltd., New Delhi (India), 1997)
➢Principles of Foundation Engineering – Das, B.M. (PWS Publishing,
California, 1999)
➢Foundation Analysis and Design – Bowles J.E. (McGraw Hill, 1994)
➢Soil Mechanics and Foundation Engineering – B.C. Punmia (S
CHAND publishers)
FOUNDATION ENGG - SYLLABUS
➢Lecture Session
■ Lectures per week : 3
➢ Tutorial Session
■ Tutorial per week : 1
Lecture Contents
• Syllabus and Introduction (2 hrs)
• Site Investigation(3 hrs)
• Earth Pressure(5 hrs)
• Shallow Foundations(6 hrs)
• Pile Foundation(6 hrs)
• Well Foundations(4 hrs)
• Stability of Slopes(3 hrs)
• Retaining Walls(4 hrs)
• Soil Stabilization (2 hrs)
Introduction
• Earth Pressure
– The force which is on the retaining wall when the soil is
retained at a slope steeper than it can sustain by virtue of
its shearing strength.
– The magnitude of earth pressure is a function of the
magnitude and nature of the absolute and relative
movements of the soil and the structure.
LATERAL EARTH PRESSURES
Fig. Conditions in the case of
active earth pressure
Fig. 13.3 Conditions in the case of
passive earth resistance
Effect of Wall Movement on Earth Pressure
Effect of Wall Movement on Earth
Pressure
• The Earth Pressure At Rest
– The earth pressure that the soil mass is in a state
of rest and there are no deformations and
displacements.
Earth Pressure At Rest
Rankine’s Theory of Earth Pressure
• Assumptions:
– The backfill soil is isotropic, homogeneous and is cohesionless.
– The soil is in a state of plastic equilibrium during active and passive
earth pressure conditions.
– The rupture surface is a planar surface which is obtained by
considering the plastic equilibrium of the soil.
– The backfill surface is horizontal.
– The back of the wall is vertical.
– The back of the wall is smooth.
Active Earth Pressure of Cohesion less Soil
Fig. Active earth pressure distribution – Rankine’s theory
Effect of Submergence
(i) Lateral earth pressure due to submerged unit weight of the backfill soil; and
(ii) Lateral pressure due to pore water.
Fig. Effect of submergence on lateral earth pressure
At a depth H below the surface, the lateral pressure, σh, is given
by : σh = Ka. ɤ′H +ɤw. H
Effect of partial submergence
Fig. Effect of partial submergence on lateral earth pressure
The lateral pressure above the water table is due to the most
unit weight of soil, and that below the water table is the sum
of that due to the submerged unit weight of the soil and the
water pressure.
• where H1 = depth of submerged fill,
• Ka = active earth pressure coefficient,
• H2 = depth of fill above water table (taken to be moist),
• γ = moist unit weight, and
• γ ′ = submerged or effective unit weight.
Lateral pressure at the base of
wall,
= KaɤH2 + Kaɤ′H1 + ɤwH1
Effect of Uniform Surcharge
Fig. Effect of uniform surcharge on lateral pressure
•
• The extra loading carried by a retaining structure is known as
‘surcharge’. It may be a uniform load (from roadway, from
stacked goods, etc.), a line load (trains running parallel to the
structure), or an isolated load (say, a column footing).
• In the case of a wall retaining a backfill with horizontal surface
level with the top of the wall and carrying a uniform
surcharge of intensity q per unit area, the vertical stress at
every elevation in the backfill is considered to increase by q.
As such, the lateral pressure has to increase by Ka.q.
• Thus, at any depth z, σh = Kaγ.z + Kaq
Effect of Inclined Surcharge—Sloping Backfill
The total active thrust Pa per unit length of the wall acts at
(1/3)H above the base of the wall and is equal to 1/2 Kaɤ.H2; it
acts parallel to the surface of the fill.
Active Earth Pressure of Cohesive Soil
Fig. Active pressure distribution for a cohesive soil
For c- φ soil For pure clay, φ = 0
Passive Earth Pressure of Cohesive Soil
Fig. Passive pressure distribution for the cohesive soil
Coulomb’s Theory of Earth Pressure
• Assumptions;
– The backfill is a dry, cohesionless, homogeneous, isotropic soil.
– The backfill surface is planar and can be inclined.
– The back of the wall can be inclined to the vertical.
– The failure surface is a plane surface which passes through the heel of
the wall.
– The position and the line of action of the earth pressure are known.
– The sliding wedge is considered to be a rigid body and the earth
pressure is obtained by considering the limiting equilibrium of the
sliding wedge as a whole.
Coulomb’s Theory of Earth Pressure
Coulomb’s Theory of Earth Pressure
Coulomb Equations for c=0 Backfills
PROBLEMS
• What are the limiting values of the lateral earth
pressure at a depth of 3 meters in a uniform sand
fill with a unit weight of 20 KN/m3 and a friction
angle of 35°? The ground surface is level. If a
retaining wall with a vertical back face is
interposed, determine the total active thrust and
the total passive resistance which will act on the
wall.
• A gravity retaining wall retains 12 m of a backfill, γ
= 17.7 KN/m3 φ = 25° with a uniform horizontal
surface. Assume the wall interface to be
vertical, determine the magnitude and point of
application of the total active pressure. If the
water table is a height of 6 m, how far do the
magnitude and the point of application of active
pressure changed?
• A smooth backed vertical wall is 6.3 m high and
retains a soil with a bulk unit weight of 18 KN/m3
and φ = 18°. The top of the soil is level with the top
of the wall and is horizontal. If the soil surface
carries a uniformly distributed load of 4.5 KN/m2,
determine the total active thrust on the wall per
lineal meter of the wall and its point of application.
• A wall, 5.4 m high, retains sand. In the loose state
the sand has void ratio of 0.63 and φ = 27°, while
in the dense state, the corresponding values of
void ratio and φ are 0.36 and 45° respectively.
Compare the ratio of active and passive earth
pressure in the two cases, assuming G = 2.64.
• A vertical wall with a smooth face is 7.2 m high
and retains soil with a uniform surcharge angle of
9°. If the angle of internal friction of soil is 27°,
compute the active earth pressure and passive
earth resistance assuming γ = 20 kN/m3
• A retaining wall 9 m high retains a cohesionless
soil, with an angle of internal friction 33°. The
surface is level with the top of the wall. The unit
weight of the top 3 m of the fill is 21 kN/m3 and
that of the rest is 27 kN/m3. Find the magnitude
and point of application of the resultant active
thrust. It is assumed that φ = 33° for both the
strata of the backfill.
• A retaining wall, 7.5 m high, retains a cohsionless
backfill. The top 3 m of the fill has a unit weight of
18 kN/m3 and φ = 30° and the rest has unit
weight of 24 kN/m3 and φ = 20°. Determine the
pressure distribution on the wall.
• A sandy loam backfill has a cohesion of 12 kN/m2
and φ = 20°. The unit weight is 17.0 kN/m3. What
is the depth of the tension cracks ?
• A retaining wall with a smooth vertical back
retains a purely cohesive fill. Height of wall is 12
m. Unit weight of fill is 20 kN/m3. Cohesion is 1
N/cm2. What is the total active Rankine thrust on
the wall? At what depth is the intensity of pressure
zero and where does the resultant thrust act?
• A retaining wall with a smooth back is 12 m high
and retains a two layer sand backfill with following
properties:
• 0 – 6 m depth: φ’ = 280, ɣ’ = 16 KN/m3
• below 6 m: φ’ = 320, ɣ’ = 21 KN/m3
• Show the active earth pressure distribution,
assuming that the water table is well below the
base of the wall.
• For the retaining wall as shown below, assume
that wall can yield sufficiently to develop active
state. Determine the Rankine active force per unit
length of wall and the location of resultant line of
action.
z
γ =16 KN/m3
ɸ1=30˚
C1=0
γsat =19 KN/m3
ɸ2=36˚
C2=0
3 m
3 m
Thank you.
EARTH PRESSURE COEFFICIENTS
Appendix
_lateral_earth_pressure_(foundation engineering)
_lateral_earth_pressure_(foundation engineering)
_lateral_earth_pressure_(foundation engineering)
_lateral_earth_pressure_(foundation engineering)

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_lateral_earth_pressure_(foundation engineering)

  • 1. Department of Civil Engineering School of Engineering & Technology FOUNDATION ENGINEERING
  • 2. No. of lectures Courses to be covered Unit to be covered 2 Role of civil engineers in selection, design and construction of foundation of civil engineering structures, Methods of soil exploration, Sampling-disturbed and undisturbed sampling Introduction & Site Investigation Unit 1 3 Various penetration tests, Correlation between penetration resistance and soil design parameters, Selection of foundation based on soil condition. Introduction & Site Investigation 4 Active and Passive earth pressure, Earth pressure at rest, Rankine and Coulomb’s earth pressure theories Earth Pressure Unit 2 1 Earth pressure due to surcharge Earth Pressure 2 Types of shallow foundations, mechanism of load transfer, Modes of failure, Terzaghi’s bearing capacity theory Shallow Foundations Unit 32 Computation of bearing capacity in soils, Influence of various factors, Use of field test data in design of shallow foundations, Stresses below the foundations Shallow Foundations 2 Settlement of footings and rafts, Allowable and maximum differential settlements of buildings, Codal provisions, Proportioning of footings and rafts Shallow Foundations Lecture plan
  • 3. 1 Types of pile and method of construction, Estimation of load carrying capacity of a pile Pile Foundation Unit 43 Static and dynamic formulae, Load carrying capacity and settlement of group of piles, Piles subjected to uplift, Negative skin friction Pile Foundation 2 Pile load tests and interpretation of test data, Proportioning of piles, Codal provisions Pile Foundation 2 Methods of construction, Tilt and shift, Remedial measures during sinking of well foundation Well Foundations Unit 5 2 Bearing capacity, Settlement and lateral stability of well foundation Well Foundations
  • 4. 1 Mode of failure mechanism, Stability analysis of infinite slopes Stability of Slopes Unit 6 2 Method of slices, Bishop’s simplified method Stability of Slopes 3 Types of retaining walls-gravity, semi-gravity, cantilever and counter fort retaining walls Retaining Walls Unit 7 1 Stability analysis of retaining walls, Proportioning and design of retaining walls Retaining Walls 2 Concept of soil stabilization, Materials used, Methods of stabilization Soil Stabilization Unit 8
  • 5. Books and References: ➢ Soil Mechanics and Foundation Engineering – Arora, K.R. (Standard publishers and distributors, New Delhi, 1997) ➢ Basic and applied soil mechanics – Gopal Ranjan and Rao, A.S.R. (Wiley Eastern Ltd., New Delhi (India), 1997) ➢Principles of Foundation Engineering – Das, B.M. (PWS Publishing, California, 1999) ➢Foundation Analysis and Design – Bowles J.E. (McGraw Hill, 1994) ➢Soil Mechanics and Foundation Engineering – B.C. Punmia (S CHAND publishers)
  • 6. FOUNDATION ENGG - SYLLABUS ➢Lecture Session ■ Lectures per week : 3 ➢ Tutorial Session ■ Tutorial per week : 1
  • 7. Lecture Contents • Syllabus and Introduction (2 hrs) • Site Investigation(3 hrs) • Earth Pressure(5 hrs) • Shallow Foundations(6 hrs) • Pile Foundation(6 hrs) • Well Foundations(4 hrs) • Stability of Slopes(3 hrs) • Retaining Walls(4 hrs) • Soil Stabilization (2 hrs)
  • 8. Introduction • Earth Pressure – The force which is on the retaining wall when the soil is retained at a slope steeper than it can sustain by virtue of its shearing strength. – The magnitude of earth pressure is a function of the magnitude and nature of the absolute and relative movements of the soil and the structure.
  • 9. LATERAL EARTH PRESSURES Fig. Conditions in the case of active earth pressure Fig. 13.3 Conditions in the case of passive earth resistance
  • 10. Effect of Wall Movement on Earth Pressure
  • 11. Effect of Wall Movement on Earth Pressure • The Earth Pressure At Rest – The earth pressure that the soil mass is in a state of rest and there are no deformations and displacements.
  • 13. Rankine’s Theory of Earth Pressure • Assumptions: – The backfill soil is isotropic, homogeneous and is cohesionless. – The soil is in a state of plastic equilibrium during active and passive earth pressure conditions. – The rupture surface is a planar surface which is obtained by considering the plastic equilibrium of the soil. – The backfill surface is horizontal. – The back of the wall is vertical. – The back of the wall is smooth.
  • 14. Active Earth Pressure of Cohesion less Soil Fig. Active earth pressure distribution – Rankine’s theory
  • 15.
  • 16. Effect of Submergence (i) Lateral earth pressure due to submerged unit weight of the backfill soil; and (ii) Lateral pressure due to pore water. Fig. Effect of submergence on lateral earth pressure At a depth H below the surface, the lateral pressure, σh, is given by : σh = Ka. ɤ′H +ɤw. H
  • 17. Effect of partial submergence Fig. Effect of partial submergence on lateral earth pressure The lateral pressure above the water table is due to the most unit weight of soil, and that below the water table is the sum of that due to the submerged unit weight of the soil and the water pressure.
  • 18. • where H1 = depth of submerged fill, • Ka = active earth pressure coefficient, • H2 = depth of fill above water table (taken to be moist), • γ = moist unit weight, and • γ ′ = submerged or effective unit weight. Lateral pressure at the base of wall, = KaɤH2 + Kaɤ′H1 + ɤwH1
  • 19. Effect of Uniform Surcharge Fig. Effect of uniform surcharge on lateral pressure
  • 20. • • The extra loading carried by a retaining structure is known as ‘surcharge’. It may be a uniform load (from roadway, from stacked goods, etc.), a line load (trains running parallel to the structure), or an isolated load (say, a column footing). • In the case of a wall retaining a backfill with horizontal surface level with the top of the wall and carrying a uniform surcharge of intensity q per unit area, the vertical stress at every elevation in the backfill is considered to increase by q. As such, the lateral pressure has to increase by Ka.q. • Thus, at any depth z, σh = Kaγ.z + Kaq
  • 21. Effect of Inclined Surcharge—Sloping Backfill The total active thrust Pa per unit length of the wall acts at (1/3)H above the base of the wall and is equal to 1/2 Kaɤ.H2; it acts parallel to the surface of the fill.
  • 22. Active Earth Pressure of Cohesive Soil Fig. Active pressure distribution for a cohesive soil For c- φ soil For pure clay, φ = 0
  • 23. Passive Earth Pressure of Cohesive Soil Fig. Passive pressure distribution for the cohesive soil
  • 24.
  • 25. Coulomb’s Theory of Earth Pressure • Assumptions; – The backfill is a dry, cohesionless, homogeneous, isotropic soil. – The backfill surface is planar and can be inclined. – The back of the wall can be inclined to the vertical. – The failure surface is a plane surface which passes through the heel of the wall. – The position and the line of action of the earth pressure are known. – The sliding wedge is considered to be a rigid body and the earth pressure is obtained by considering the limiting equilibrium of the sliding wedge as a whole.
  • 26. Coulomb’s Theory of Earth Pressure
  • 27. Coulomb’s Theory of Earth Pressure
  • 28. Coulomb Equations for c=0 Backfills
  • 30. • What are the limiting values of the lateral earth pressure at a depth of 3 meters in a uniform sand fill with a unit weight of 20 KN/m3 and a friction angle of 35°? The ground surface is level. If a retaining wall with a vertical back face is interposed, determine the total active thrust and the total passive resistance which will act on the wall.
  • 31.
  • 32. • A gravity retaining wall retains 12 m of a backfill, γ = 17.7 KN/m3 φ = 25° with a uniform horizontal surface. Assume the wall interface to be vertical, determine the magnitude and point of application of the total active pressure. If the water table is a height of 6 m, how far do the magnitude and the point of application of active pressure changed?
  • 33.
  • 34.
  • 35. • A smooth backed vertical wall is 6.3 m high and retains a soil with a bulk unit weight of 18 KN/m3 and φ = 18°. The top of the soil is level with the top of the wall and is horizontal. If the soil surface carries a uniformly distributed load of 4.5 KN/m2, determine the total active thrust on the wall per lineal meter of the wall and its point of application.
  • 36.
  • 37.
  • 38. • A wall, 5.4 m high, retains sand. In the loose state the sand has void ratio of 0.63 and φ = 27°, while in the dense state, the corresponding values of void ratio and φ are 0.36 and 45° respectively. Compare the ratio of active and passive earth pressure in the two cases, assuming G = 2.64.
  • 39.
  • 40.
  • 41. • A vertical wall with a smooth face is 7.2 m high and retains soil with a uniform surcharge angle of 9°. If the angle of internal friction of soil is 27°, compute the active earth pressure and passive earth resistance assuming γ = 20 kN/m3
  • 42.
  • 43.
  • 44. • A retaining wall 9 m high retains a cohesionless soil, with an angle of internal friction 33°. The surface is level with the top of the wall. The unit weight of the top 3 m of the fill is 21 kN/m3 and that of the rest is 27 kN/m3. Find the magnitude and point of application of the resultant active thrust. It is assumed that φ = 33° for both the strata of the backfill.
  • 45.
  • 46. • A retaining wall, 7.5 m high, retains a cohsionless backfill. The top 3 m of the fill has a unit weight of 18 kN/m3 and φ = 30° and the rest has unit weight of 24 kN/m3 and φ = 20°. Determine the pressure distribution on the wall.
  • 47.
  • 48.
  • 49. • A sandy loam backfill has a cohesion of 12 kN/m2 and φ = 20°. The unit weight is 17.0 kN/m3. What is the depth of the tension cracks ?
  • 50.
  • 51. • A retaining wall with a smooth vertical back retains a purely cohesive fill. Height of wall is 12 m. Unit weight of fill is 20 kN/m3. Cohesion is 1 N/cm2. What is the total active Rankine thrust on the wall? At what depth is the intensity of pressure zero and where does the resultant thrust act?
  • 52.
  • 53.
  • 54. • A retaining wall with a smooth back is 12 m high and retains a two layer sand backfill with following properties: • 0 – 6 m depth: φ’ = 280, ɣ’ = 16 KN/m3 • below 6 m: φ’ = 320, ɣ’ = 21 KN/m3 • Show the active earth pressure distribution, assuming that the water table is well below the base of the wall.
  • 55. • For the retaining wall as shown below, assume that wall can yield sufficiently to develop active state. Determine the Rankine active force per unit length of wall and the location of resultant line of action. z γ =16 KN/m3 ɸ1=30˚ C1=0 γsat =19 KN/m3 ɸ2=36˚ C2=0 3 m 3 m