
Find the magnitude and location of the passive force

Answer to Problem 14.11P
The magnitude of the passive force
The location of the resultant measured from the bottom of the wall is
Explanation of Solution
Given information:
The magnitude of surcharge loading (q) is
The unit weight
The height (H) of the retaining wall is 7.0 m.
The soil friction angle
The angle of wall friction
The cohesion
The soil-wall interfall adhesion
The horizontal inertial
The vertical inertial
Calculation:
Determine the ratio of angle of wall friction to the soil friction angle.
Determine the ratio of soil-wall interfall adhesion to the cohesion.
Determine the magnitude of the passive force due to earthquake conditions using the formula.
Here,
Refer Figure (14.9b) “Variation of
For
Take the value of
Refer Figure (14.10b) “Variation of
For
Take the value of
Refer Table (14.7) “Variation of
For the ratio of angle of wall friction to the soil friction angle is 0.5.
The value of
Substitute
Thus, the magnitude of the passive force
Determine the unit weight of the passive force
Substitute
Determine the distance of passive earth force acting above the bottom of the wall using the relation.
Substitute 7.0 m for H.
Determine the weight of surcharge component using the formula.
Substitute
Determine the distance of surcharge component acting above the bottom of the wall using the relation.
Substitute 7.0 m for H.
Determine the unit weight of the cohesion component using the formula.
Substitute
Determine the distance of cohesion component acting above the bottom of the wall using the relation.
Substitute 7.0 m for H.
Determine the location of the resultant measured from the bottom of the wall using the formula.
Substitute
Thus, the location of the resultant measured from the bottom of the wall is
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Chapter 14 Solutions
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