Loads and Foundation Calculation

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Table of Contents

1. Question 1 1

1.1. FOUNDATION ON THE TOP OF A SLOPE 1

1.2. FOUNDATION ON THE FACE OF A SLOPE 3

2. Question 2 5

3. References 6

QUESTION 1

Please describe the problem of the bearing capacity of foundations under combined loads in slope (see Figure 1). Will the bearing capacity decrease? If so, what are the causes?

Figure 1- For question 1

FOUNDATION ON THE TOP OF A SLOPE

Meyerhof(1957) indicated that for a foundation located on or near the slope, the plastic zone on the side of the slope is relatively smaller than those of similar foundation on leveled ground and subsequently the bearing capacity of the foundation near slopes reduced. He claimed a solution for the ultimate bearing capacity of foundations on or near slopes (Figure 1.1) with those from stability analysis to form the equation as following

q_u=c^'.N_cq+1/2 γ.B.N_γq

Figure 1.1- Failure plane for the shallow foundation near or on slope

where Ncq is a factor represents the combined effect of the cohesion of the soil and the overburden pressure and N_γq is a coefficient for the combined effect of the shear resistance of the soil beneath the foundation and overburden pressure. The above equation is only for the foundations on or near slope that have distance b from the top of the slope. Meyerhof(1957) also suggested charts for the bearing capacity factors(N_cq and N_γq).

The theoretical variations of Ncq for a purely cohesive soil (ϕ=0) and N_γq , for a granular soil (c = 0), and these variations are shown in Figure 1.2 and 1.3 .

For purely cohesive soil(ϕ=0) →〖(N〗_γq=0) (Figure 1.2) →q_u=c^'.N_cq

For granular soil (c=0) →〖(N〗_cq=0)(Figure 1.3) →〖 q〗_u=1/2 γ.B.N_γq

It is important to note that, in using Figure 1....

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...s to be more uniform.(Venkatramaiah, 1995)

Figure 2.1 - Contact pressure distribution under a rigid foundation loaded with a uniform pressure.(Venkatramaiah, 1995)

For cohesive soil extra pressure can cause stress to shear the soil around the perimeter, the contact pressure at the edges of foundation will be maximum, while it will lessen toward the center. However, for non-cohesive soil (e.g. sand), the maximum contact pressure will be found at the center of the base and will reduce toward the edge because the soil is pushed aside at the edges due to the reduced confining pressure.

References

Das, B. M. (2009). Shallow Foundations: Bearing Capacity and Settlement, Second Edition. GB: CRC Press Inc.

Fang, H. Y. (1990). Foundation Engineering Handbook: Springer US.

Venkatramaiah, C. (1995). Geotechnical Engineering: New Age International Pub. (P) Limited.

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