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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

Repeat Problem 10.12 for q = 700 kN/m2, B = 8 m, and z = 4 m. In this case, point A is located below the centerline under the strip load.

10.12 Refer to Figure 10.43. A strip load of q = 1450 lb/ft2 is applied over a width with B = 48 ft. Determine the increase in vertical stress at point A located z = 21 ft below the surface. Given x = 28.8 ft.

images

Figure 10.43

To determine

Calculate the increase in vertical stress at point A.

Explanation

Given information:

The strip load (q) is 700kN/m2.

The width of the load (B) is 8m.

The horizontal distance between centre of strip load q to point A (x) is 0.

The depth of the stress from ground surface (z) is 4m.

Calculation:

Calculate the ratio 2xB as shown below.

Substitute 0 for x and 8m for B.

2xB=2×08=0

Calculate the ratio 2zB as shown below.

Substitute 4m for z and 8m for B.

2zB=2×48=1

Calculate the increase in vertical stress (Δσz) using the relation as follows.

Refer Table 10.4 “Variation of Δσzq with 2zB and 2xB” in the Text Book

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