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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 10.49. For the linearly increasing vertical loading on an infinite strip of width 5 m, determine the vertical stress increase, Δσz, at A.

images

Figure 10.49

To determine

Calculate the increase in vertical stress at A.

Explanation

Given information:

The width of the finite strip (B) is 5m.

The location of point A (x,z) is (6m,2m).

The intensity of loading (q) is 400kN/m2.

Calculation:

Sketch the linearly increasing vertical loading on finite strip as shown in Figure 1.

Refer to Figure 1.

Calculate the angle (α1) as shown below.

tanα1=26α1=tan1(13)α1=18.43°

Calculate the angle (α2) as shown below.

tanα1=21α1=tan1(2)α1=63.43°

Calculate the angle (δ) as shown below.

tanδ=12δ=tan1(12)δ=26.565°

Calculate the angle (α) as shown below.

α=α2α1

Substitute 63

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