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Enrollment No . Name
130120106039 KAIZER DAVE
130120106045 KISHAN VYAS
130120106061 BINOY PATEL
Internal Guide: Prof. Jay Sir
Prof. Sandeep Sir
1
Gandhinagar Institute of
Technology: Department of
Civil Engineering
Design of Reinforced concrete Structure (2170607) -
COUNTERFORT RETAINING WALL
GANDHINAGAR INSTITUTE OF
TECHNOLOGY
RETAINING WALL
• A Retaining wall is a structure used to retain the
earth or other materials and to maintain ground
surface at different elevations on either side of it.
Gandhinagar Institute of Technology :
Department of Civil Engineering
2
RETAINING WALL TERMINOLOGY
Gandhinagar Institute of Technology :
Department of Civil Engineering
3
TYPES OF RETAINING WALLS
Gandhinagar Institute of Technology :
Department of Civil Engineering
4
• Gravity retaining walls.
• Cantilever retaining walls.
• Counterfort retaining walls.
• Buttress wall.
• Bridge abutment.
• Box culvert.
Gandhinagar Institute of Technology :
Department of Civil Engineering
5
Gravity retaining wall
Cantilevered
retaining
wall
Precast concrete
retaining wall
Precast concrete crib
retaining wall Sheet pile wall
COUNTERFORT RETAINING WALL
Gandhinagar Institute of Technology :
Department of Civil Engineering
6
• In the counterfort retaining wall,
the stem and the base and the
base slab are tied together by
counterforts, at suitable
intervals. Because of provision of
counterforts, the vertical stem as
well as the heel slab acts as a
continuous slab, in contrast to
the cantilevers of cantilever
retaining wall.
• Counterfort retaining walls are
economical for height over about
6m.
FORCES ACTING ON RETAINING WALL
• Lateral earth pressure
• Self weight of retaining wall
• Weight of soil above the base
slab
• Surcharge, i.e. forces due to
loads on earth surface.
• Soil reaction below base slab
• Frictional force at the bottom
of base slab
Gandhinagar Institute of Technology :
Department of Civil Engineering
7
Earth Pressure (P)
• Earth pressure is the pressure exerted by the
retaining material on the retaining wall. This
pressure tends to deflect the wall outward.
• Types of earth pressure :
• Active earth pressure or earth pressure (Pa)
and
• Passive earth pressure (Pp).
• Active earth pressure tends to deflect the wall
away from the backfill.
Gandhinagar Institute of Technology :
Department of Civil Engineering
8
Factors affecting earth pressure
• Earth pressure depends on type of backfill, the
• height of wall and the soil conditions
• Soil conditions: The different soil conditions are
• Dry or moist backfill with no surcharge
• Submerged backfill
• Backfill with uniform surcharge
• Backfill with sloping surface
•Inclined back and surcharge
Gandhinagar Institute of Technology :
Department of Civil Engineering
9
(1)Analysis for dry back fills with no
surcharge
• Maximum pressure
at any height,
p=kaϒh
• Total pressure at any
height from top,
𝑃𝑎 =
1
2
ϒ𝑘 𝑎 𝐻2
Gandhinagar Institute of Technology :
Department of Civil Engineering
10
• 𝑘 𝑎= Coefficient of active earth pressure
= (1-sinΦ)/(1+sinΦ)=𝑡𝑎𝑛2
Φ
= 1/𝑘 𝑝, coefficient of passive earth
pressure
= Angle of internal friction or angle of
repose
ϒ=Unit weight or density of backfill
Gandhinagar Institute of Technology : Department of Civil Engineering
11
(2) Submerged backfill
• Lateral pressure due to submerged weight of soil
= 𝑘 𝑎ϒH
• Lateral pressure due to water, =ϒ 𝑤H
• Total pressure at base,
𝑃𝑎 = 𝑘 𝑎ϒH+ϒ 𝑤H
Gandhinagar Institute of Technology : Department of Civil Engineering
12
(3)Backfill with uniform surcharge
• The lateral pressure due to
surcharge,
=𝑘 𝑎q
• The lateral pressure due to
backfill,
=𝑘 𝑎ϒH
• Lateral pressure intensity at base,
𝑃𝑎= 𝑘 𝑎q+𝑘 𝑎ϒH
Gandhinagar Institute of Technology : Department of Civil Engineering 13
(4) Backfill with sloping surface
• The total earth pressure
acts at an angle β with
horizontal.
𝑘 𝑎=cosβ
𝑐𝑜𝑠𝛽− 𝑐𝑜𝑠2 𝛽−𝑐𝑜𝑠2 ∅
𝑐𝑜𝑠𝛽+ 𝑐𝑜𝑠2 𝛽−𝑐𝑜𝑠2 ∅
• β=angle of surcharge
• If surcharge is
horizontal,β=0
Therefore, 𝑘 𝑎=
1−sin ∅
1+sin ∅
Gandhinagar Institute of Technology : Department of Civil Engineering 14
(5) Inclined back and surcharge
• Resultant of pressure
𝑃1 and weight of soil
wedge W is calculated
as
P= 𝑃1
2
+ 𝑊2
where 𝑃1=
1
2
ϒ𝑘 𝑎 𝐻2
Gandhinagar Institute of Technology : Department of Civil Engineering 15
Stability Conditions
• The retaining wall should
satisfy the following
stability condition-
•Stability against
overturning
•Stability against sliding
•Maximum pressure at
base should not exceed
safe bearing capacity of
soil.
Gandhinagar Institute of Technology : Department of Civil Engineering
16
Stability against overturning
• As per IS:456-2000, CI.20.1, factor of safety against
overturning should not be less than 1.4.In case
where dead load provides the restoring moment,
only 0.9 times the characteristic dead load shall be
considered.
Hence ,the factor of safety is given by relation,
F.S=
0.9 𝑟𝑒𝑠𝑡𝑜𝑟𝑖𝑛𝑔 𝑚𝑜𝑚𝑒𝑛𝑡
𝑜𝑣𝑒𝑟𝑡𝑢𝑟𝑛𝑖𝑛𝑔 𝑚𝑜𝑚𝑒𝑛𝑡
≥ 1.4
=
𝑀 𝑟
𝑀 𝑜
≥ 1.55
Gandhinagar Institute of Technology : Department of Civil Engineering 17
Stability against sliding
• As per IS:456-2000, CI.20.2, factor of safety against
sliding should not be less than 1.4.In this case also
0.9 times characteristic dead load shall be taken
into account.
F.S=
0.9 𝑟𝑒𝑠𝑡𝑜𝑟𝑖𝑛𝑔 𝑓𝑜𝑟𝑐𝑒
𝑠𝑙𝑖𝑑𝑖𝑛𝑔 𝑓𝑜𝑟𝑐𝑒
≥ 1.4
=
0.9(𝜇∙∑𝑊)
𝑃 𝑎ℎ
≥ 1.4
=
(𝜇∙∑𝑊 +𝑃 𝑝)
𝑃 𝑎ℎ
≥ 1.55
Where,µ=coefficient of friction
Gandhinagar Institute of Technology : Department of Civil Engineering 18
Maximum pressure at base should not
exceed safe bearing capacity of soil.
• The intensity of soil pressure at toe,
𝑃max=
∑𝑊
𝑏
[1 +
6𝑒
𝑏
]……….at toe
𝑃 𝑚𝑖𝑛=
∑𝑊
𝑏
[1 −
6𝑒
𝑏
]………..at heel
• 𝑝 𝑚𝑎𝑥 should not exceed safe bearing capacity(SBC)
of soil.
• For no tension, 𝑝 𝑚𝑖𝑛 should not be negative.
Gandhinagar Institute of Technology : Department of Civil Engineering 19
Counterfort Retaining Wall
Counterfort Retaining Wall
Counterfort Retaining Wall
Counterfort Retaining Wall
Counterfort Retaining Wall
Counterfort Retaining Wall
Counterfort Retaining Wall
Counterfort Retaining Wall
Counterfort Retaining Wall
Counterfort Retaining Wall
Counterfort Retaining Wall
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Counterfort Retaining Wall

  • 1. Enrollment No . Name 130120106039 KAIZER DAVE 130120106045 KISHAN VYAS 130120106061 BINOY PATEL Internal Guide: Prof. Jay Sir Prof. Sandeep Sir 1 Gandhinagar Institute of Technology: Department of Civil Engineering Design of Reinforced concrete Structure (2170607) - COUNTERFORT RETAINING WALL GANDHINAGAR INSTITUTE OF TECHNOLOGY
  • 2. RETAINING WALL • A Retaining wall is a structure used to retain the earth or other materials and to maintain ground surface at different elevations on either side of it. Gandhinagar Institute of Technology : Department of Civil Engineering 2
  • 3. RETAINING WALL TERMINOLOGY Gandhinagar Institute of Technology : Department of Civil Engineering 3
  • 4. TYPES OF RETAINING WALLS Gandhinagar Institute of Technology : Department of Civil Engineering 4 • Gravity retaining walls. • Cantilever retaining walls. • Counterfort retaining walls. • Buttress wall. • Bridge abutment. • Box culvert.
  • 5. Gandhinagar Institute of Technology : Department of Civil Engineering 5 Gravity retaining wall Cantilevered retaining wall Precast concrete retaining wall Precast concrete crib retaining wall Sheet pile wall
  • 6. COUNTERFORT RETAINING WALL Gandhinagar Institute of Technology : Department of Civil Engineering 6 • In the counterfort retaining wall, the stem and the base and the base slab are tied together by counterforts, at suitable intervals. Because of provision of counterforts, the vertical stem as well as the heel slab acts as a continuous slab, in contrast to the cantilevers of cantilever retaining wall. • Counterfort retaining walls are economical for height over about 6m.
  • 7. FORCES ACTING ON RETAINING WALL • Lateral earth pressure • Self weight of retaining wall • Weight of soil above the base slab • Surcharge, i.e. forces due to loads on earth surface. • Soil reaction below base slab • Frictional force at the bottom of base slab Gandhinagar Institute of Technology : Department of Civil Engineering 7
  • 8. Earth Pressure (P) • Earth pressure is the pressure exerted by the retaining material on the retaining wall. This pressure tends to deflect the wall outward. • Types of earth pressure : • Active earth pressure or earth pressure (Pa) and • Passive earth pressure (Pp). • Active earth pressure tends to deflect the wall away from the backfill. Gandhinagar Institute of Technology : Department of Civil Engineering 8
  • 9. Factors affecting earth pressure • Earth pressure depends on type of backfill, the • height of wall and the soil conditions • Soil conditions: The different soil conditions are • Dry or moist backfill with no surcharge • Submerged backfill • Backfill with uniform surcharge • Backfill with sloping surface •Inclined back and surcharge Gandhinagar Institute of Technology : Department of Civil Engineering 9
  • 10. (1)Analysis for dry back fills with no surcharge • Maximum pressure at any height, p=kaϒh • Total pressure at any height from top, 𝑃𝑎 = 1 2 ϒ𝑘 𝑎 𝐻2 Gandhinagar Institute of Technology : Department of Civil Engineering 10
  • 11. • 𝑘 𝑎= Coefficient of active earth pressure = (1-sinΦ)/(1+sinΦ)=𝑡𝑎𝑛2 Φ = 1/𝑘 𝑝, coefficient of passive earth pressure = Angle of internal friction or angle of repose ϒ=Unit weight or density of backfill Gandhinagar Institute of Technology : Department of Civil Engineering 11
  • 12. (2) Submerged backfill • Lateral pressure due to submerged weight of soil = 𝑘 𝑎ϒH • Lateral pressure due to water, =ϒ 𝑤H • Total pressure at base, 𝑃𝑎 = 𝑘 𝑎ϒH+ϒ 𝑤H Gandhinagar Institute of Technology : Department of Civil Engineering 12
  • 13. (3)Backfill with uniform surcharge • The lateral pressure due to surcharge, =𝑘 𝑎q • The lateral pressure due to backfill, =𝑘 𝑎ϒH • Lateral pressure intensity at base, 𝑃𝑎= 𝑘 𝑎q+𝑘 𝑎ϒH Gandhinagar Institute of Technology : Department of Civil Engineering 13
  • 14. (4) Backfill with sloping surface • The total earth pressure acts at an angle β with horizontal. 𝑘 𝑎=cosβ 𝑐𝑜𝑠𝛽− 𝑐𝑜𝑠2 𝛽−𝑐𝑜𝑠2 ∅ 𝑐𝑜𝑠𝛽+ 𝑐𝑜𝑠2 𝛽−𝑐𝑜𝑠2 ∅ • β=angle of surcharge • If surcharge is horizontal,β=0 Therefore, 𝑘 𝑎= 1−sin ∅ 1+sin ∅ Gandhinagar Institute of Technology : Department of Civil Engineering 14
  • 15. (5) Inclined back and surcharge • Resultant of pressure 𝑃1 and weight of soil wedge W is calculated as P= 𝑃1 2 + 𝑊2 where 𝑃1= 1 2 ϒ𝑘 𝑎 𝐻2 Gandhinagar Institute of Technology : Department of Civil Engineering 15
  • 16. Stability Conditions • The retaining wall should satisfy the following stability condition- •Stability against overturning •Stability against sliding •Maximum pressure at base should not exceed safe bearing capacity of soil. Gandhinagar Institute of Technology : Department of Civil Engineering 16
  • 17. Stability against overturning • As per IS:456-2000, CI.20.1, factor of safety against overturning should not be less than 1.4.In case where dead load provides the restoring moment, only 0.9 times the characteristic dead load shall be considered. Hence ,the factor of safety is given by relation, F.S= 0.9 𝑟𝑒𝑠𝑡𝑜𝑟𝑖𝑛𝑔 𝑚𝑜𝑚𝑒𝑛𝑡 𝑜𝑣𝑒𝑟𝑡𝑢𝑟𝑛𝑖𝑛𝑔 𝑚𝑜𝑚𝑒𝑛𝑡 ≥ 1.4 = 𝑀 𝑟 𝑀 𝑜 ≥ 1.55 Gandhinagar Institute of Technology : Department of Civil Engineering 17
  • 18. Stability against sliding • As per IS:456-2000, CI.20.2, factor of safety against sliding should not be less than 1.4.In this case also 0.9 times characteristic dead load shall be taken into account. F.S= 0.9 𝑟𝑒𝑠𝑡𝑜𝑟𝑖𝑛𝑔 𝑓𝑜𝑟𝑐𝑒 𝑠𝑙𝑖𝑑𝑖𝑛𝑔 𝑓𝑜𝑟𝑐𝑒 ≥ 1.4 = 0.9(𝜇∙∑𝑊) 𝑃 𝑎ℎ ≥ 1.4 = (𝜇∙∑𝑊 +𝑃 𝑝) 𝑃 𝑎ℎ ≥ 1.55 Where,µ=coefficient of friction Gandhinagar Institute of Technology : Department of Civil Engineering 18
  • 19. Maximum pressure at base should not exceed safe bearing capacity of soil. • The intensity of soil pressure at toe, 𝑃max= ∑𝑊 𝑏 [1 + 6𝑒 𝑏 ]……….at toe 𝑃 𝑚𝑖𝑛= ∑𝑊 𝑏 [1 − 6𝑒 𝑏 ]………..at heel • 𝑝 𝑚𝑎𝑥 should not exceed safe bearing capacity(SBC) of soil. • For no tension, 𝑝 𝑚𝑖𝑛 should not be negative. Gandhinagar Institute of Technology : Department of Civil Engineering 19