Chapter 16, Problem 16.15P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Refer to Problem 16.13. Design the size of the footing using the modified general ultimate bearing capacity Eq. (16.31).

**16.13** A square footing (*B* × *B*) must carry a gross allowable load of 1160 kN. The base of the footing is to be located at a depth of 2 m below the ground surface. If the required factor of safety is 4.5, determine the size of the footing. Use Terzaghi’s bearing capacity factors and assume general shear failure of soil. Given: γ = 17 kN/m^{3}, *c*′ = 48 kN/m^{2}, *ϕ*′ = 31°.

To determine

Find the size of the footing using the modified general ultimate bearing capacity equation.

Explanation

Given information:

The gross allowable load

The location of depth of footing base

The factor of safety

The unit weight of the soil

The value of cohesion

The soil friction angle

Calculation:

**Trial 1**.

Consider width of footing *B* as 1.25 m.

Determine the shape factor

Here,

Refer Table 16.2, “Bearing-capacity factors

For

The value of

Substitute 1.25 m for *B*, 1.25 m for *L*, 20.63 for

The ratio of

Determine the depth factor

Substitute 2 m for *B*.

Determine the shape factor

Substitute 1.25 m for *B*, 1.25 m for *L*, and

Determine the depth factor

Substitute *B*.

Determine the depth factor

Substitute 1.25 m for *B* and 1.25 m for *L*.

Determine the ultimate bearing capacity of the soil

Here,

For a vertical loading, all inclination factors are equal to one.

Substitute *B*, 25.99 for

Determine the gross allowable load

Substitute

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