Civil Engineering Reference
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Take moments about the toe of the wall:
4
__
Nx
P H
3
W (moment arms)
3 P v
4
3
__
__
86.1 x 40.1
3
35.3
2
32.9 (2.8) 17.9 (3)
x 145
____
86.1 1.69 m
Maximum and minimum bearing pressures:
q N ( B 6 e )
q N ( B 6 e )
__________
__________
Eqs. (8.7 a ) and (8.7 b )
B 2
B 2
Eccentricity e
1.5
1.69
0.19 m
q 86.1 [3
6 (0.19)]
_________________
39.6 kPa
3 2
86.1 [3 6 (0.19)]
_________________
q
17.8 kPa
3 2
Factor of safety for sliding:
N tan
P p
___________
FS
Eq. (10.11)
P H
where N W P v 86.1 kN/m
FS 86.1 tan 38°
4.07
_________________
40.1
1.78
Factor of safety for overturning:
Overturning moment
P H 1
3 H
3 P v
40.1 ( 1
3 ) (4)
17.9 (3)
0.23
Therefore
FS
Earthquake analysis: To find P AE :
a max
____
g 0.20
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