railway RRB JE (CBT I + CBT II) Mock Test 2024 Soil Mechanics and Foundation Engineering Bearing Capacity Shallow Foundation
The safe bearing capacity of circular footing can be computed from which of the following equation based as Terzaghi's analysis?
(where, D-depth of footing. B-diameter of circular footing. L-length of the footing, Nc, Nq, Nγ, - bearing capacity factors for general shear failure, Rw1 and Rw2 - water reduction factors, γ unit weight of soil, e-cohesion of soil)
1
\(\mathrm{q}_{\mathrm{s}}=\frac{1}{\mathrm{~F}}\left[1.3 \mathrm{cN}_{\mathrm{e}}+\gamma \mathrm{D}\left(\mathrm{~N}_{\mathrm{q}}-1\right) \mathrm{R}_{\mathrm{W}_{1}}+0.4 \gamma \mathrm{BN}_{7} \mathrm{R}_{\mathrm{W}_{2}}\right]+\gamma \mathrm{D}\)
2
\(\mathrm{q}_{\mathrm{s}}=\frac{1}{\mathrm{~F}}\left[1.3 \mathrm{cN}_{\mathrm{e}}+\gamma \mathrm{D}\left(\mathrm{~N}_{\mathrm{q}}-1\right) \mathrm{R}_{\mathrm{W}_{1}}+0.3 \gamma \mathrm{BN}_{\gamma} \mathrm{R}_{\mathrm{W}_{2}}\right]+\gamma \mathrm{D}\)
3
\(\mathrm{q}_{\mathrm{s}}=\frac{1}{\mathrm{~F}}\left[\mathrm{cN}_{\mathrm{c}}+\gamma \mathrm{D}\left(\mathrm{~N}_{\mathrm{q}}-1\right) \mathrm{R}_{\mathrm{W}_{1}}+0.5 \gamma \mathrm{BN}_{\mathrm{r}} \mathrm{R}_{\mathrm{W}_{2}}\right]+\gamma \mathrm{D}\)
4
\(\mathrm{q}_{\mathrm{s}}=\frac{1}{\mathrm{~F}}\left[1.7 \mathrm{cN}_{\mathrm{e}}+\gamma \mathrm{D}\left(\mathrm{~N}_{\mathrm{q}}-1\right) \mathrm{R}_{\mathrm{W}_{1}}+0.8 \gamma \mathrm{BN}_{\mathrm{\gamma}} \mathrm{R}_{\mathrm{W}_{2}}\right]+\gamma \mathrm{D}\)