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Theoretical Foundation Engineering

4.6: GENERAL BEARING CAPACITY EQUATION

4.6 GENERAL BEARING CAPACITY EQUATION

The relationships for estimation of the ultimate bearing capacity presented in Sections 4.3 and 4.5 are for continuous (strip) foundations. They do not give the following:

  1. The relationships for the ultimate bearing capacity of rectangular foundations ( B=width; L=length)

  2. The effect of load inclination ? with respect to the vertical (Fig. 4.21)


    Figure 4.21: Inclined load on a foundation.

  3. The effect of the increase of q u due to the increase of the foundation depth D f

For these reasons, a general relationship can be written in the form


where

? cs, ? qs, ? ?s

=

shape factors

? ci, ? qi, ? ?i

=

inclination factors

? cd, ? qd, ? ?d,

=

depth factors

Most of the shape, inclination, and depth factors available in the literature are now empirical and/or semiempirical. The factors are listed in Table 4.4.

Table 4.4: Summary of Shape, Inclination, and Depth Factors

Factor

Relationship

Reference

Shape

For ?=0 :

? cs=1+0.2

? qs = 1 ? ?s = 1

For ??10 :

? cs = 1 + 0.2 tan 2(45+ ?/2)

? qs = ? ?s = 1+0.1 tan 2(45+ ?/2)

Meyerhof (1963)

? cs = 1+

[Note: Use Eq. (4.65) for N c and Eq. (4.64) for N q as given in Table 4.3]

? qs = 1+

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