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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 = 16.5 kN/m3, cu = 41 kN/m3, ϕ = 0 , Df = 1.5 m, and factor of safety = 5.

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 16.5kN/m3.

The value of uniformity coefficient cu is 41kN/m3.

The soil friction angle ϕ is 0°.

The depth of foundation Df is 1.5 m.

The factor of safety Fs is 5.

Calculation:

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

qu=cuNc+qNq=cuNc+γDfNq (1)

Here, Nc is the contribution of cohesion and Nq is the contribution of surcharge.

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

Take the Nc as 5.7 and Nq as 1.00 for the ϕ value of 0°.

Substitute 41kN/m3 for cu, 5

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