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Calculate the active earth pressure coefficient for the backfill soil using both the Rankine and Coulomb Earth Pressure theories. Is there a significant difference in the two Ka values?

Calculate the active earth pressure coefficient for the backfill soil using both the Rankine and Coulomb Earth Pressure theories. Is there a significant difference in the two Ka values?

Structural Analysis
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 active earth pressure coefficient for the backfill soil using both the Rankine
and Coulomb Earth Pressure theories. Is there a significant difference in the two Ka
values?  

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
Transcribed Image Text: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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