Retaining Wall 12m Without Earth Quake
Retaining Wall 12m Without Earth Quake
Retaining Wall 12m Without Earth Quake
b 0 0 0 0 0 0
α 3 3 3 3 3 3
d 20 16.67 13.33 10.00 6.67 3.33
l 0 0 0 0 0 0
cosΦ 0.87 0.91 0.94 0.97 0.98 1.00
cosb 1.00 1.00 1.00 1.00 1.00 1.00
cos(Φ-l-α) 0.89 0.93 0.96 0.98 0.99 1.00
cosl 1.00 1.00 1.00 1.00 1.00 1.00
cosα 1.00 1.00 1.00 1.00 1.00 1.00
cos(d+α+l) 0.92 0.94 0.96 0.97 0.99 0.99
sin(Φ+d) 0.77 0.66 0.55 0.42 0.29 0.14
sin(Φ-b-)l) 0.50 0.42 0.34 0.26 0.17 0.09
cos(α-b) 1.00 1.00 1.00 1.00 1.00 1.00
SEISMIC COEFFICIENT
HORIZONTAL SEISMIC COEFFICIENT αh = Z*I*Sa/(2*R*g) = 0.00 Code 1893 - 2002
VERTICAL SEISMIC COEFFICIENT αv = αh/2 = 0.00
SOIL PROPERTIES
BACKFILL SPECIFIC WEIGHT gb = g = 20.00 KN/m3
SURCHARGE WEIGHT ws = = 30.00 KN/m2
SURCHARGE HEIGHT hs = ws/g = 1.50
FRICTION COEFFICIENT m = = 0.50
ALLOW SOIL PRESSURE Qa = = 250.00 KN/m2
RETAINING PARAMETERS
THICKNESS OF TOP STEM tt = = 0.50 m
THICKNESS OF STEM tb = = 2.00 m
TOE WIDTH LT = = 5.50 m
HEEL WIDTH LH = = 5.50 m
HEIGHT OF STEM HT = = 12.00 m
FOOTING THICKNESS hf = = 0.85 m
KEY DEPTH hk = = 0.00 m
SOIL OVER TOE hp = = 0.00 m
WATER LEVEL FROM TOP h = = 5.00 m
TOTAL HEIGHT H = = 12.85 m
BASE B = = 13.00 m
SOIL HEIGHT H' = = 12.85 m
OVERTURNING MOMENT
Static
pressure
H (intensity) P y Mo
Psat1 (Triangular Portion) 5.00 35.21 88.04 9.52 837.82
Psat2 (Rectangular portion) 7.85 35.2 276.44 3.93 1085.02
Psubm (Static) 7.85 27.64 108.50 2.62 283.91
Pq (static ) 12.85 10.56 135.75 6.43 872.22
Pwater 7.85 78.5 308.11 2.62 806.23
916.84 3885.20 Static
Dynamic Effect
pressure
H (intensity) P y Mo
Pq(ses)(Dynamic) 12.85 0.00 8.48 0.00
Psat(ses) 0.0 0.00
Horizontal Seismic Height Width W' X MO
Stem(W1) 12.00 0.50 0 6.85 0.00
Stem(W2) 12.00 1.5 0.00 4.850 0.00
Footing(W7) 13.00 0.85 0.00 0.425 0.00
W ' = Weight including seismic effect 0.00 0.00 Dynamic
RESISTING MOMENT
CHECKS
Safety against overturning
(Refer Code IS 456)
Static Case
Vertical Force *0.9 = 1697.63
Horizontal Force *1 = 916.84
Dynamic Case
Vertical Force (Static) = 1697.625
Vertical Force (Dynamic) = 0
Horizontal Force (Static) = 916.84
Horizontal Force (Dynamic) = 0.00
ΣV 1886.25
ΣM 12455.43
x 6.60
e -0.678
B/6 1.98
B 11.85
qtoe 104.51 < 250.00 [Satisfactory]
qheel 213.84 < [Satisfactory]
Negative upward
Positive downward
13.00
Considering Earthquake Active Pressure coefficient Considering Earthquake Passive Pressure coefficient
Soil (α+) Soil (α-) SubmergeSubmergedα(-) Soil (+) Soil (-) SubmergedSubmerged(-)
αh 0.00 0.00 0.00 0.00 αh 0.00 0.00 0.00 0.00
αv 0.00 0.00 0.00 0.00 αv 0.00 0.00 0.00 0.00
Φ 30.00 30.00 30.00 30.00 Φ 30.00 30.00 30.00 30.00
α 7.13 7.13 7.13 7.13 α 0.00 0.00 0.00 0.00
b b
0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
d d
20.00 20.00 15.00 15.00 10.00 10.00 10.00 10.00
l 0.00 0.00 0.00 0.00 l 0.00 0.00 0.00 0.00
cos(Φ-l -α) 0.92 0.92 0.92 0.92 cos(Φ-l +α) 0.87 0.87 0.87 0.87
cosl 1.00 1.00 1.00 1.00 cosl 1.00 1.00 1.00 1.00
cosα 0.99 0.99 0.99 0.99 cosα 0.99 0.99 0.99 0.99
cos(d+α+l ) 0.89 0.89 0.93 0.93 cos(d-α+l) 0.98 0.98 0.98 0.98
sin(Φ+d) 0.77 0.77 0.71 0.71 sin(Φ+d) 0.64 0.64 0.64 0.64
sin(Φ-b-)l) 0.50 0.50 0.50 0.50 sin(Φ+b-)l) 0.50 0.50 0.50 0.50
cos(α-b) 0.99 0.99 0.99 0.99 cos(α-b) 0.99 0.99 0.99 0.99
TOE LENGTH {Min. Lt=.5( Lh+stb), Max. Lt=( Lh+stb)} = 3.75 7.50 ~ 3.20 Within 10% [Satisfactory]
Heel Reinforcement
5.50
120.994
51.60972
8 50.265
10 78.540
12 113.097 101.2
16 201.062
20 314.159
25 490.874
32 804.248
0.388
5.50
92.64 162.03
3.90 1.6
8 50.265 101.21
10 78.540
12 113.097 0.109083
16 201.062
20 314.159
25 490.874
32 804.248
0.386
SEISMIC COEFFICIENT
HORIZONTAL SEISMIC COEFFICIENT αh = Z*I*Sa/(2*R*g) = 0.10 Code 1893 - 2002
VERTICAL SEISMIC COEFFICIENT αv = αh/2 = 0.05
SOIL PROPERTIES
BACKFILL SPECIFIC WEIGHT gb = g = 20.00 KN/m3
SURCHARGE WEIGHT ws = = 30.00 KN/m2
SURCHARGE HEIGHT hs = ws/g = 1.50
FRICTION COEFFICIENT m = = 0.50
ALLOW SOIL PRESSURE Qa = = 250.00 KN/m2
RETAINING PARAMETERS
THICKNESS OF TOP STEM tt = = 0.50 m
THICKNESS OF STEM tb = = 0.75 m
TOE WIDTH LT = = 3.50 m
HEEL WIDTH LH = = 4.50 m
HEIGHT OF STEM HT = = 7.32 m
FOOTING THICKNESS hf = = 0.75 m
KEY DEPTH hk = = 0.00 m
SOIL OVER TOE hp = = 0.00 m
WATER LEVEL FROM TOP h = = 4.25 m
TOTAL HEIGHT H = = 8.07 m
BASE B = = 8.75 m
SOIL HEIGHT H' = = 8.07 m
OVERTURNING MOMENT
Static
pressure
H (intensity) P y Mo
Psat1 (Triangular Portion) 4.25 34.80 73.96 5.24 387.29
Psat2 (Rectangular portion) 3.82 34.8 132.95 1.91 253.93
Psubm (Static) 3.82 15.64 28.86 1.27 36.74
Pq (static ) 8.07 12.28 99.13 4.04 399.98
Pwater 3.82 38.2 72.96 1.27 92.90
407.85 1170.85 Static
Dynamic Effect
pressure
H (intensity) P y Mo
Pq(ses)(Dynamic) 8.07 32.40 5.33 172.58
Psat(ses) 151.7 472.00
Horizontal Seismic Height Width W' X MO
Stem(W1) 7.32 0.50 9.6075 4.41 42.37
Stem(W2) 7.32 0.25 2.40 3.190 7.66
Footing(W7) 8.75 0.75 17.23 0.375 6.46
W ' = Weight including seismic effect 213.29 701.07 Dynamic
RESISTING MOMENT
CHECKS
Safety against overturning
(Refer Code IS 456)
Static Case
Vertical Force *0.9 = 907.44
Horizontal Force *1 = 407.85
Dynamic Case
Vertical Force (Static) = 907.442
Vertical Force (Dynamic) = 0
Horizontal Force (Static) = 407.85
Horizontal Force (Dynamic) = 213.29
ΣV 1052.63
ΣM 4172.53
x 3.96
e 0.411
B/6 1.46
B 8.75
qtoe 154.21 < 250.00 [Satisfactory]
qheel 86.39 < [Satisfactory]
Negative upward
Positive downward
8.75
Considering Earthquake Active Pressure coefficient Considering Earthquake Passive Pressure coefficient
Soil (α+) Soil (α-) SubmergeSubmergedα(-) Soil (+) Soil (-) SubmergedSubmerged(-)
αh 0.10 0.10 0.10 0.10 αh 0.10 0.10 0.10 0.10
αv 0.05 0.05 0.05 0.05 αv 0.05 0.05 0.05 0.05
Φ 30.00 30.00 30.00 30.00 Φ 30.00 30.00 30.00 30.00
α 1.96 1.96 1.96 1.96 α 0.00 0.00 0.00 0.00
b b
15.00 15.00 15.00 15.00 0.00 0.00 0.00 0.00
d d
20.00 20.00 15.00 15.00 10.00 10.00 10.00 10.00
l 5.44 6.01 10.59 11.67 l 5.44 6.01 10.59 11.67
cos(Φ-l-α) 0.92 0.93 0.95 0.96 cos(Φ-l+α) 0.91 0.91 0.94 0.95
cosl 1.00 0.99 0.98 0.98 cosl 1.00 0.99 0.98 0.98
cosα 1.00 1.00 1.00 1.00 cosα 1.00 1.00 1.00 1.00
cos(d+α+l) 0.89 0.88 0.89 0.88 cos(d-α+l) 0.96 0.96 0.94 0.93
sin(Φ+d) 0.77 0.77 0.71 0.71 sin(Φ+d) 0.64 0.64 0.64 0.64
sin(Φ-b-)l) 0.17 0.16 0.08 0.06 sin(Φ+b-)l) 0.42 0.41 0.33 0.31
cos(α-b) 0.97 0.97 0.97 0.97 cos(α-b) 0.97 0.97 0.97 0.97
TOE LENGTH {Min. Lt=.5( Lh+stb), Max. Lt=( Lh+stb)} = 2.63 5.25 ~ 3.20 Within 10% [Satisfactory]