Chapter 13, Problem 13.5P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

A 5-m high unyielding retaining wall is subjected to a surcharge point load, *Q* = 95 kN, on the ground surface (Figure 13.40a). Determine the increase in lateral pressure,
*z* = 1, 2, 3, 4, and 5 m due to the point load. (*Note*: *z* = distance measured downwards from the top of the wall.)

(a)

**Figure 13.40**

To determine

Find the increase in lateral earth pressure *z*) measured downwards from the top of the wall.

Explanation

**Given information:**

The surcharge point load (*Q*) is 95 kN.

The distance (*x*) of load acting from the retaining wall is 1 m.

The height (*H*) of the retaining wall is 5 m.

The distance measured from top of the retaining wall is 1, 2, 3, 4, and 5 m.

**Calculation:**

Determine the value of *m* using the formula.

Substitute 1 m for *x* and 5 m for *H*.

The calculated value of *m* is less than 0.4, therefore, use Equation (13.19) to calculate the lateral earth pressure.

Determine the value of *n* when distance measured from top of the retaining wall is 1 m using the relation.

Substitute 1 m for *z* and 5 m for *H*.

Similarly, calculate and tabulate the value of *n* for the remaining distance as in Table (1).

Determine the lateral earth pressure when the distance measured from top of the retaining wall is 0 m using the formula.

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