Chapter 10, Problem 10.20P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Redo Problem 10.19 using Westergaard’s solution (Table 10.14) and compare with the solution by Boussinesq’s theory. Assume *μ _{s}* = 0.

**10.19** Figure 10.48 shows the schematic of a circular water storage facility resting on the ground surface. The radius of the storage tank, *R* = 2.5 m, and the maximum height of water, *h _{w}* = 4 m. Determine the vertical stress increase, Δ

Circular contact area of radius *R* on the ground surface

**Figure 10.48**

To determine

Calculate the increase in vertical stress below the ground surface along the centerline of the tank using Westergaard’s solution.

Compare Westergaard’s solution by Boussinesq’s theory.

Explanation

**Given information:**

The radius of the storage tank

The maximum height of water

The depths

**Calculation:**

Assume

Consider the unit weight of water

Calculate the intensity of pressure

Substitute

For the depth

Calculate the depth to radius ratio

Substitute *z* and *R*.

Similarly calculate the remaining values and tabulate as in Table 1.

Calculate the increase in vertical stress

Refer Table 10.7 “Variation of

Take the value of

Calculate the increase in vertical stress

Substitute *q*.

Similarly calculate the increase in vertical stress values using Boussinesq’s theory and tabulate as in Table 1.

Show the increase in vertical stress for each depth below the center of the loaded area using Boussinesq’s theory as in Table 1.

Radius | Depth, | |||

2 |

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