Chapter 16, Problem 16.18P

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9th Edition

Braja M. Das + 1 other

ISBN: 9781305970939

Textbook Problem

Refer to the footing in Problem 16.16. Determine the gross ultimate load the footing can carry using the Patra et al. (2015) reduction factor method for rectangular foundations given in Eqs. (16.47), (16.49), and (16.50).

**16.16** A square footing on sand is subjected to an eccentric load as shown in Figure 16.20. Using Meyerhof’s *effective area* concept, determine the gross allowable load that the footing could carry with *F _{s} =* 4. Given: γ = 16 kN/m

To determine

Find the gross ultimate load that the footing can carry using the reduction factor method.

Explanation

Given information:

The unit weight of the soil

The value of cohesion

The soil friction angle

The location of depth of footing base

The width of the footing *B* is 1.75 m.

The value of eccentricity *e* is 0.25 m.

The factor of safety value

Calculation:

Determine the reduction factor

Here, *a* and *k* are the functions of the embedment ratio

Determine the function *a* using the relation.

Substitute 1.75 m for *B* and 1.75 m for *L*.

Determine the function *k* using the relation.

Substitute 1.75 m for *B* and 1.75 m for *L*.

Substitute 1.53 for *a*, 0.25 m for *e*, 1.75 m for *B*, and 0.64 for *k* in Equation (1).

Determine the shape factor

Here,

Refer Table 16.2, “Bearing-capacity factors

For

The values of

Substitute 1.75 m for *B*, 1.75 m for *L*, 16.44 for

Determine the depth factor

Substitute 1.3 m for *B*.

Determine the shape factor

Substitute 1.75 m for *B*, 1.75 m for *L*, and

Determine the depth factor

Substitute

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