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GOVERMENT ENGINEERING COLLEGE,
BHARUCH
 NAME – KAPTAN SAGAR R
 ENROLLMENT NO. – 130140106021
 SEM – 7 (CIVIL)
 SUB. – DESIGN OF REINFORCED CONCRETE STRUCTURE
 TOPIC – RETAINING WALLS
2
Gravity retaining wall
GL1
GL2
Retaining walls are usually built to
hold back soil mass. However,
retaining walls can also be
constructed for aesthetic
landscaping purposes.
RETAINING WALL
BACK
SOIL
3
Batter
Drainage Hole
Toe
CANTILEVER RETAINING WALL WITH SHEAR KEY
CLASSIFICATION OF RETAINING WALLS
• Gravity wall-Masonry or Plain concrete
• Cantilever retaining wall-RCC
(Inverted T and L)
• Counter fort retaining wall-RCC
• Buttress wall-RCC
4
CLASSIFICATION OF RETAINING WALLS
5
Counter fort
Gravity RW
T-Shaped RW
L-Shaped RW
BackfillBackfill
Counterfort RW
Buttress
Backfill
Buttress RW
Tile
drain
Weep
hole
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.
6
Pa
GL
Variation of Earth pressure
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 leveled back fill
• Moist leveled backfill
• Submerged leveled backfill
• Leveled backfill with uniform surcharge
• Backfill with sloping surface
7
ANALYSIS FOR DRY BACK FILLS
8
Maximum pressure at any height, p=kah
Total pressure at any height from top,
pa=1/2[kah]h = [kah2]/2
Bending moment at any height
M=pax h/3= [kah3]/6
 Total pressure, Pa= [kaH2]/2
Total Bending moment at bottom,
M = [kaH3]/6
Pa
H
h
kaH
M
GL
GL
H= stem height
Where, ka = Coefficient of active earth pressure
= (1-sin)/(1+sin)=tan2
= 1/kp, coefficient of passive earth pressure
 = Angle of internal friction or angle of repose
 =Unit weigh or density of backfill
If = 30, ka=1/3 and kp=3. Thus ka is 9 times kp
9
 pa= ka H at the bottom and is
parallel to inclined surface of
backfill
 ka=
 Where =Angle of surcharge
 Total pressure at bottom
=Pa= ka H2/2
10












 22
22
coscoscos
coscoscos
cos
BACKFILL WITH SLOPING SURFACE
GL
11
STABILITY REQUIREMENTS OF RW
 Following conditions must be satisfied for stability of
wall (IS:456-2000).
• It should not overturn
• It should not slide
• It should not subside, i.e Max. pressure at the toe should
not exceed the safe bearing capacity of the soil under
working condition
12
CHECK AGAINST OVERTURNING
Factor of safety against overturning
= MR / MO  1.55 (=1.4/0.9)
Where,
MR =Stabilising moment or
restoring moment
MO =overturning moment
As per IS:456-2000,
MR>1.2 MO, ch. DL + 1.4 MO, ch. IL
0.9 MR  1.4 MO, ch IL
13
CHECK AGAINST SLIDING
Friction  W
SLIDING OF WALL
 FOS against sliding
= Resisting force to sliding/
Horizontal force causing
sliding
= W/Pa  1.55 (=1.4/0.9)
 As per IS:456:2000
1.4 = ( 0.9W)/Pa
14
MAXIMUM PRESSURE AT THE TOE
Pressure below the
Retaining Wall
T
x1
x2
W1
W2
W3
W4
b/2
b/6e
x
b
H/3
Pa
W
H
h
Pmax
Pmin.
R
LET THE RESULTANT R DUE TO W AND PA
LIE AT A DISTANCE X FROM THE TOE.
X = M/W,
M = SUM OF ALL MOMENTS ABOUT TOE.
ECCENTRICITY OF THE LOAD = E = (B/2-X)  B/6
MINIMUM PRESSURE AT HEEL =
>ZERO.
FOR ZERO PRESSURE, E=B/6, RESULTANT SHOULD CUT THE
BASE WITHIN THE MIDDLE THIRD.
MAXIMUM PRESSURE AT TOE =
 SBC OF SOIL.







b
e
b
W 6
1Pmin







b
e
b
W 6
1Pmax
16
DEPTH OF FOUNDATION
 Rankine’s formula:
 Df =
=
2
sin1
sin1











SBC
2
ak
γ
SBC Df
17
PRELIMINARY PROPORTIONING
(T SHAPED WALL)
 Stem: Top width 200 mm to 400 mm
 Base slab width b= 0.4H to 0.6H,
0.6H to 0.75H for surcharged wall
 Base slab thickness= H/10 to H/14
 Toe projection= (1/3-1/4) Base
width
H
200
b= 0.4H to 0.6H
tp= (1/3-1/4)b
H/10 –
H/14
18
BEHAVIOUR OR STRUCTURAL
ACTION AND DESIGN OF STEM,
HEEL AND TOE SLABS ARE
SAME AS THAT OF ANY
CANTILEVER SLAB.
BEHAVIOUR OR STRUCTURAL ACTION
RETAINING WALLS

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RETAINING WALLS

  • 1. GOVERMENT ENGINEERING COLLEGE, BHARUCH  NAME – KAPTAN SAGAR R  ENROLLMENT NO. – 130140106021  SEM – 7 (CIVIL)  SUB. – DESIGN OF REINFORCED CONCRETE STRUCTURE  TOPIC – RETAINING WALLS
  • 2. 2 Gravity retaining wall GL1 GL2 Retaining walls are usually built to hold back soil mass. However, retaining walls can also be constructed for aesthetic landscaping purposes. RETAINING WALL BACK SOIL
  • 4. CLASSIFICATION OF RETAINING WALLS • Gravity wall-Masonry or Plain concrete • Cantilever retaining wall-RCC (Inverted T and L) • Counter fort retaining wall-RCC • Buttress wall-RCC 4
  • 5. CLASSIFICATION OF RETAINING WALLS 5 Counter fort Gravity RW T-Shaped RW L-Shaped RW BackfillBackfill Counterfort RW Buttress Backfill Buttress RW Tile drain Weep hole
  • 6. 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. 6 Pa GL Variation of Earth pressure
  • 7. 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 leveled back fill • Moist leveled backfill • Submerged leveled backfill • Leveled backfill with uniform surcharge • Backfill with sloping surface 7
  • 8. ANALYSIS FOR DRY BACK FILLS 8 Maximum pressure at any height, p=kah Total pressure at any height from top, pa=1/2[kah]h = [kah2]/2 Bending moment at any height M=pax h/3= [kah3]/6  Total pressure, Pa= [kaH2]/2 Total Bending moment at bottom, M = [kaH3]/6 Pa H h kaH M GL GL H= stem height
  • 9. Where, ka = Coefficient of active earth pressure = (1-sin)/(1+sin)=tan2 = 1/kp, coefficient of passive earth pressure  = Angle of internal friction or angle of repose  =Unit weigh or density of backfill If = 30, ka=1/3 and kp=3. Thus ka is 9 times kp 9
  • 10.  pa= ka H at the bottom and is parallel to inclined surface of backfill  ka=  Where =Angle of surcharge  Total pressure at bottom =Pa= ka H2/2 10              22 22 coscoscos coscoscos cos BACKFILL WITH SLOPING SURFACE GL
  • 11. 11 STABILITY REQUIREMENTS OF RW  Following conditions must be satisfied for stability of wall (IS:456-2000). • It should not overturn • It should not slide • It should not subside, i.e Max. pressure at the toe should not exceed the safe bearing capacity of the soil under working condition
  • 12. 12 CHECK AGAINST OVERTURNING Factor of safety against overturning = MR / MO  1.55 (=1.4/0.9) Where, MR =Stabilising moment or restoring moment MO =overturning moment As per IS:456-2000, MR>1.2 MO, ch. DL + 1.4 MO, ch. IL 0.9 MR  1.4 MO, ch IL
  • 13. 13 CHECK AGAINST SLIDING Friction  W SLIDING OF WALL  FOS against sliding = Resisting force to sliding/ Horizontal force causing sliding = W/Pa  1.55 (=1.4/0.9)  As per IS:456:2000 1.4 = ( 0.9W)/Pa
  • 14. 14 MAXIMUM PRESSURE AT THE TOE Pressure below the Retaining Wall T x1 x2 W1 W2 W3 W4 b/2 b/6e x b H/3 Pa W H h Pmax Pmin. R
  • 15. LET THE RESULTANT R DUE TO W AND PA LIE AT A DISTANCE X FROM THE TOE. X = M/W, M = SUM OF ALL MOMENTS ABOUT TOE. ECCENTRICITY OF THE LOAD = E = (B/2-X)  B/6 MINIMUM PRESSURE AT HEEL = >ZERO. FOR ZERO PRESSURE, E=B/6, RESULTANT SHOULD CUT THE BASE WITHIN THE MIDDLE THIRD. MAXIMUM PRESSURE AT TOE =  SBC OF SOIL.        b e b W 6 1Pmin        b e b W 6 1Pmax
  • 16. 16 DEPTH OF FOUNDATION  Rankine’s formula:  Df = = 2 sin1 sin1            SBC 2 ak γ SBC Df
  • 17. 17 PRELIMINARY PROPORTIONING (T SHAPED WALL)  Stem: Top width 200 mm to 400 mm  Base slab width b= 0.4H to 0.6H, 0.6H to 0.75H for surcharged wall  Base slab thickness= H/10 to H/14  Toe projection= (1/3-1/4) Base width H 200 b= 0.4H to 0.6H tp= (1/3-1/4)b H/10 – H/14
  • 18. 18 BEHAVIOUR OR STRUCTURAL ACTION AND DESIGN OF STEM, HEEL AND TOE SLABS ARE SAME AS THAT OF ANY CANTILEVER SLAB. BEHAVIOUR OR STRUCTURAL ACTION