Chapter 10, Problem 10.17P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Refer to Figure 10.47. A flexible rectangular area is subjected to a uniformly distributed load of *q* = 330 kN/m^{2}. Determine the increase in vertical stress, Δ*σ _{z}*, at a depth of

**Figure 10.47**

To determine

Calculate the increase in vertical stress under points *A*, *B*, and *C*.

Explanation

**Given information:**

The uniformly distributed soil

The depth

The length of the rectangular cross section

The breadth of the rectangular cross section

**Calculation:**

Calculate the increase in vertical stress

Here,

Stress increase at *A*:

Calculate the ratio

Substitute *L* and *z* in Equation (2).

Calculate the ratio

Substitute *B* and *z* in Equation (3).

Refer Table 10.10 “Variation of *m* and *n*” in the Text Book.

Take the value of

Take the value of

Calculate the value of

Calculate the increase in vertical stress *A* as shown below.

Substitute

Hence, the increase in vertical stress at point *A* is

Stress increase at *B*:

Sketch the cross section of the loading diagram along point *B* as shown in Figure 1.

Refer to Figure 1.

Consider the two rectangular section of

Consider the rectangular section of

Calculate the ratio

Substitute *L* and *z* in Equation (2).

Calculate the ratio

Substitute *B* and *z* in Equation (3).

Refer Table 10.10 “Variation of *m* and *n*” in the Text Book.

Take the value of

Take the value of

Calculate the value of

Take the value of

Take the value of

Calculate the value of

Calculate the value of

Consider the rectangular section of

Calculate the ratio

Substitute *L* and *z* in Equation (2).

Calculate the ratio

Substitute *B* and *z* in Equation (3).

Refer Table 10.10 “Variation of *m* and *n*” in the Text Book.

Take the value of

Take the value of

Calculate the value of

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