Calculate the passive earth pressure coefficient for the foundation soil to the right of thetoe of the wall using the Rankine Earth Pressure theory. On Figure 1, sketch the passivepressure distribution and calculate the resultant force(s). Show the resultant, and itslocation, on your sketch.AND Sketch the wall and the distribution of lateral earth pressures resulting from the backfillfor the Coulomb case, assuming good drainage. Call this “Figure 2: Coulomb Active EarthPressures from Backfill.” Calculate the resultant horizontal and vertical forces and addthem to your sketch. Indicate clearly the location of the resultant forces. Earth Pressures AnalysisA retaining wall will be necessary at the North end of your site to accommodate along theproposed Casagrade road right-of-way. A proposed configuration of the wall is shown in Figure1. The height of the wall will be 18 m, to accommodate the change in elevation from the road at6 m to the top of the wall at 24 m. To construct the wall, a cut is made into the hillside, the wallis constructed, and then the area between the wall and cut is backfilled with granular soil.The backfill to be placed behind the wall will consist of imported compacted sand, which will becompacted to a relative compaction of 90% which corresponds approximately to a moist unitweight of ym = 18 kN/m³. For this relative density, past experience has shown that a conservativeestimate of effective stress friction angle for this material is d'= 36 degrees. The foundation willrest on the natural sand layer which has been estimated to have an effective stress friction angleof about o'= 38° degrees. The material to the right of the toe of the wall can be assumed to bethe same compacted sand as the wall backfill. Due to the sloping backfill surface, no surchargeloading behind the wall is anticipated.23 deg.0.3 mElev 24 m21 mElev 6 m4.7 m13mT0.3 m3 m0.3 m>10.0 mFigure 1: Configuration of proposed concrete cantilever wall

Given data for the soil to the right of the toe Moist unit weight γm = 18 KN/m3 Angle of internal…

Answered: Calculate the passive earth pressure…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Calculate the passive earth pressure coefficient for the foundation soil to the right of the
toe of the wall using the Rankine Earth Pressure theory. On Figure 1, sketch the passive
pressure distribution and calculate the resultant force(s). Show the resultant, and its
location, on your sketch.
AND Sketch the wall and the distribution of lateral earth pressures resulting from the backfill
for the Coulomb case, assuming good drainage. Call this “Figure 2: Coulomb Active Earth
Pressures from Backfill.” Calculate the resultant horizontal and vertical forces and add
them to your sketch. Indicate clearly the location of the resultant forces.

Earth Pressures Analysis
A retaining wall will be necessary at the North end of your site to accommodate along the
proposed Casagrade road right-of-way. A proposed configuration of the wall is shown in Figure
1. The height of the wall will be 18 m, to accommodate the change in elevation from the road at
6 m to the top of the wall at 24 m. To construct the wall, a cut is made into the hillside, the wall
is constructed, and then the area between the wall and cut is backfilled with granular soil.
The backfill to be placed behind the wall will consist of imported compacted sand, which will be
compacted to a relative compaction of 90% which corresponds approximately to a moist unit
weight of ym = 18 kN/m³. For this relative density, past experience has shown that a conservative
estimate of effective stress friction angle for this material is d'= 36 degrees. The foundation will
rest on the natural sand layer which has been estimated to have an effective stress friction angle
of about o'= 38° degrees. The material to the right of the toe of the wall can be assumed to be
the same compacted sand as the wall backfill. Due to the sloping backfill surface, no surcharge
loading behind the wall is anticipated.
23 deg.
0.3 m
Elev 24 m
21 m
Elev 6 m
4.7 m
13m
T0.3 m
3 m
0.3 m>
10.0 m
Figure 1: Configuration of proposed concrete cantilever wall

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