Goswami Retaining Wall with Water Table Problem

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RJs

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Can someone who is using Indranil Goswami's All in One book, explain how the horiznotal force due to watertable was calculated as 7848 lb in Problem # 208.2 Retaining Wall with Ground water table? I just couldnt understand at all!!!

Thanks in advance.

 
Can someone who is using Indranil Goswami's All in One book, explain how the horiznotal force due to watertable was calculated as 7848 lb in Problem # 208.2 Retaining Wall with Ground water table? I just couldnt understand at all!!!Thanks in advance.
Assuming you are OK with how the 1121.2 psf was calculated, the triangular component 4c has a resultant = 0.5x14x1121 = 7848 lb

A shortcut to calculate the TOTAL horizontal stress = K times TOTAL vertical stress + (1-K) times pore water pressure. This would give:

At elev 129: p_h = 0.307 times (3x120) + (1-0.307) times zero = 110.5

At elev 115: p_h = 0.307 times (17x120) + (1-0.307) times (14x62.4) = 1231.7

The 110.5 is then subtracted out of 1231.7 to give the triangular (4c) component 1121.2, whose resultant is 7848

 
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