Chapter 10, Problem 10.14P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

An earth embankment is shown in Figure 10.44. Determine the stress increase at point *A* due to the embankment load. Given: *β* = 25°, *γ* = 119 lb/ft^{3}, *x* = 55 ft, *y* = 28 ft, and *z* = 20 ft.

**Figure 10.44**

To determine

Calculate the increase in vertical stress at point *A* due to the embankment load.

Explanation

**Given information:**

The angle of slope of the embankment

The unit weight of the embankment soil

The height of the embankment

The depth of the stress from ground surface

The top width of the embankment

**Calculation:**

Consider the width of rectangular loading of the embankment as

Calculate the embankment loading

Substitute *y*.

Calculate the bottom width of the triangular loading of the embankment

Substitute *y* and

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

Refer to Figure 1.

Consider the left side of the cross section.

The width of rectangular loading of the embankment

The width of triangular loading of the embankment

Calculate the ratio

Substitute *z*.

Calculate the ratio

Substitute *z*.

Calculate the increase in vertical stress

Here,

Refer Figure 10.19 “Osterberg’s chart for determination of vertical stress due to embankment loading” in the textbook.

Take the value of

Calculate the increase in vertical stress for left side cross section

Substitute

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