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Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939

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BuyFindarrow_forward

Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939
Textbook Problem

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, hw = 4 m. Determine the vertical stress increase, Δσz, at points 0, 2, 4, 8, and 10 m below the ground surface along the centerline of the tank. Use Boussinesq’s theory [Eq. (10.27)].

images

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 Boussinesq’s theory.

Explanation

Given information:

The radius of the storage tank (R) is 2.5m.

The maximum height of water (hw) is 4m.

The depths (z) are 0m,2m,4m,8m, and 10m.

Calculation:

Consider the unit weight of water (γw) is 9.81kN/m3.

Calculate the intensity of pressure (q) on the circular area as shown below.

q=γwhw

Substitute 9.81kN/m3 for γw and 4m for hw.

q=9.81×4=39.24kN/m2

For the depth (z) of 2m:

Calculate the depth to radius ratio (zR) as shown below.

Substitute 2m for z and 2.5m for R.

zR=22.5=0

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