1. Consider a frictionless retaining wall. Assume its surface toward the backfill side is vertical and the soil ground is horizontal. If the retaining wall moves towards backfill, answer the following based on Coulomb's earth pressure theory. (1.1) Show the forces acting on the failure wedge. (1.2) Draw the force polygon for this condition. (1.3) Write down the steps to find the resultant force of earth pressure per unit length of the wall. (1.4) About the Fig. 2, draw a graph showing the relationship between the displacement {u(-) and u(+)} of the retaining wall and the earth pressure, P that acts on that wall. Also, within the graph, indicate the earth pressures, that represent equivalent active and passive earth pressures. Displacement u(-) Retaining wall 0₁ TNT displacement u(+) Failure plane Retaining wall Failure plane 02 a) Active state b) Passive state Figure 2 (1.5) Explain the conditions under which Rankine's earth pressure theory and Coulomb's earth pressure theory become equal.

Principles of Foundation Engineering (MindTap Course List)
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Chapter16: Lateral Earth Pressure
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Problem 16.3P: The soil profile at a site is shown Figure P16.3. Find the total horizontal normal stresses at A and...
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1. Consider a frictionless retaining wall. Assume its surface toward the backfill side is vertical and the soil ground is
horizontal. If the retaining wall moves towards backfill, answer the following based on Coulomb's earth pressure
theory.
(1.1) Show the forces acting on the failure wedge.
(1.2) Draw the force polygon for this condition.
(1.3) Write down the steps to find the resultant force of earth pressure per unit length of the wall.
(1.4) About the Fig. 2, draw a graph showing the relationship between the displacement {u(-) and u(+)} of the
retaining wall and the earth pressure, P that acts on that wall. Also, within the graph, indicate the earth pressures, that
represent equivalent active and passive earth pressures.
Displacement
u(-)
Retaining wall
0₁
TNT
displacement
u(+)
Failure
plane
Retaining wall
Failure
plane
02
a) Active state
b) Passive state
Figure 2
(1.5) Explain the conditions under which Rankine's earth pressure theory and Coulomb's earth pressure theory
become equal.
Transcribed Image Text:1. Consider a frictionless retaining wall. Assume its surface toward the backfill side is vertical and the soil ground is horizontal. If the retaining wall moves towards backfill, answer the following based on Coulomb's earth pressure theory. (1.1) Show the forces acting on the failure wedge. (1.2) Draw the force polygon for this condition. (1.3) Write down the steps to find the resultant force of earth pressure per unit length of the wall. (1.4) About the Fig. 2, draw a graph showing the relationship between the displacement {u(-) and u(+)} of the retaining wall and the earth pressure, P that acts on that wall. Also, within the graph, indicate the earth pressures, that represent equivalent active and passive earth pressures. Displacement u(-) Retaining wall 0₁ TNT displacement u(+) Failure plane Retaining wall Failure plane 02 a) Active state b) Passive state Figure 2 (1.5) Explain the conditions under which Rankine's earth pressure theory and Coulomb's earth pressure theory become equal.
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