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
\(\mathrm{q}_{\mathrm{s}}=\frac{1}{\mathrm{~F}}\left[1.7 \mathrm{cN}_{\mathrm{e}}+\gamma \mathrm{D}\left(\mathrm{~N}_{\mathrm{q}}-1\right) \mathrm{R}_{\mathrm{W}_{1}}+0.8 \gamma \mathrm{BN}_{\mathrm{\gamma}} \mathrm{R}_{\mathrm{W}_{2}}\right]+\gamma \mathrm{D}\)