Chapter 11, Problem 11.1P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

A vertical column load, *P* = 600 kN, is applied to a rigid concrete foundation with dimensions *B* = 1 m and *L* = 2 m, as shown in Figure 11.45. The foundation rests at a depth *D _{f}* = 0.75 m on a uniform dense sand with the following properties: average modulus of elasticity,

**Figure 11.45**

To determine

Calculate the elastic settlement due to the net applied pressure on the foundation.

Answer

The elastic settlement due to the net applied pressure

Explanation

**Given information:**

The vertical column load

The length of the foundation

The breadth of the foundation

The depth of foundation

The average modulus of elasticity

The Poisson’s ratio

The depth below the foundation

**Calculation:**

Calculate the elastic settlement for the perfectly flexible foundation

Here, *B* for corner of foundation,

Calculate the net applied pressure

Substitute *P*, *L*, and *B*.

For the center of the foundation:

The factor

Calculate

Substitute *B*.

Calculate the ratio

Substitute *L* and *B*.

Calculate the ratio

Substitute *H* and *B*.

Calculate the shape factor

Here,

Calculate the factor

Refer Table 11.1 “Variation of

Take the value of

Calculate the factor

Refer Table 11.2 “Variation of

Take the value of

Calculate the shape factor

Substitute

Calculate the ratio

Substitute *B*.

Calculate the ratio

Substitute *L* and *B*.

Calculate the depth factor

Refer Table 11.3 “Variation of

Take the value of

Calculate the elastic settlement for the perfectly flexible foundation

Substitute

Calculate the elastic settlement for the rigid foundation

Substitute

Therefore, the elastic settlement due to the net applied pressure

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