Chapter 15, Problem 15.12P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Refer to Figure 15.50. Given that *β* = 55°, γ *=* 121 lb/ft^{3}, *ϕ' =* 17°, *c'* = 1200 lb/ft^{2}, and *H =* 45 ft, determine the factor of safety with respect to sliding. Assume that the critical sliding surface is a plane.

To determine

Find the factor of safety

Explanation

**Given information:**

The slope with an inclination

The unit weight

The angle of friction

The cohesion

The height (*H*) of the retaining wall is 45 ft.

**Calculation:**

**Trial 1:**

Consider the factor of safety as 2.

Determine the cohesion

Substitute

Determine the angle

Substitute

Determine height of the slope that will have a factor of safety of 2.0 against sliding using the formula.

Substitute

The height of the retaining wall is not equal to the calculated height of the wall.

Hence, the assumption is incorrect.

**Trial 2:**

Consider the factor of safety as 2.5.

Determine the cohesion

Substitute

Determine the angle

Substitute

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