Chapter 13, Problem 13.6P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

The 5-m high retaining wall in Figure 13.40b is subjected to a surcharge line load of *q* = 44 kN/m on the ground surface. Determine the increase in lateral force per unit length of the wall due to the line load.

(b)

**Figure 13.40**

To determine

Find the increase in lateral earth pressure force

Explanation

**Given information:**

The surcharge line load (*q*) is

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 (13.21) 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.

Substitute *q*, 5.0 m for *H*, and 0 for *n*.

Similarly, calculate and tabulate the lateral earth pressure for the remaining distances as in Table 1.

Show the *n* value and lateral earth pressure as in Table (1).

0 | 0.00 |

0.2 | 8.93 |

0.4 | 6.97 |

0.6 | 3.96 |

0.8 | 2.23 |

1.0 | 1.32 |

Show the plot between depth and lateral earth pressure as in Figure (1).

Refer Figure 1.

Determine the lateral force on the wall per unit length of area

Here, *b* is the width and *h* is the height.

Substitute 1 m for *b* and *h*.

Determine the lateral force on the wall per unit length of area

Here, *l* is the length of respective sides and *h* is the height.

Substitute *h*.

Determine the lateral force on the wall per unit length of area

Substitute

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