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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

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 1,450lb/ft2.

The width of the load (B) is 48ft.

The horizontal distance between centre of strip load q to point A (x) is 28.8ft.

The depth of the stress from ground surface (z) is 21ft.

Calculation:

Calculate the ratio 2xB as shown below.

Substitute 28.8ft for x and 48ft for B.

2xB=2×28.848=1.2

Calculate the ratio 2zB as shown below.

Substitute 21ft for z and 48ft for B.

2zB=2×2148=0.875

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 textbook.

Take the value of Δσzq as 0.338, for the values 2xB of 1.2 and 2zB of 0.8.

Take the value of Δσzq as 0

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