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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

Redo Problem 16.1 with the following: γ = 115 lb/ft3, c′ = 1100 lb/ft2, ϕ = 35 ° , Df = 3.5 ft, B = 5 ft, and factor of safety = 4.

16.1 A continuous footing is shown in Figure 16.17. Using Terzaghi’s bearing capacity factors, determine the gross allowable load per unit area (qall) that the footing can carry. Assume general shear failure. Given: γ = 19 kN/m3, c′ = 31kN/m2, ϕ = 28 ° , Df = 1.5 m, B = 2 m, and factor of safety = 3.5.

images

Figure 16.17

To determine

Find the  gross allowable load per unit area (qall) that the footing can carry.

Explanation

Given information:

The unit weight of the soil γ is 115lb/ft3.

The value of cohesion c is 1,100lb/ft2.

The soil friction angle ϕ is 35°.

The depth of foundation Df is 3.5 ft.

The width of footing B is 5 ft.

The factor of safety Fs is 4.0.

Calculation:

Determine the ultimate bearing capacity of the soil (qu) using the relation.

qu=cNc+qNq+12γBNγ=cNc+γDfNq+12γBNγ (1)

Here, Nc is the contribution of cohesion, Nq is the contribution of surcharge, and Nγ is the contribution of unit weight of soil.

Refer Table 16.1, “Terzaghi’s bearing-capacity factors–Nc, Nq, and Nγ” in the textbook.

Take the Nc as 57.75, Nq as 41.44, and Nγ as 45.41 for the ϕ value of 35°.

Substitute 1,100lb/ft2 for c, 57

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