A 4 m wide strip footing is founded at a depth of 1.5 m below the ground surface in a $c-\varphi$ soil as shown in the figure. The water table is at a depth of 5.5 m below ground surface. the soil properties are c' = 25 kN/$m^2$, ${\varphi }^{\prime }$ = ${28.63}^o$, ${\gamma }_{sat}$ = 19 kN/$m^3$, ${\gamma }_{bulk}$ = 17 kN/$m^3$ and ${\gamma }_w$ = 9.81 kN/$m^3$. the values of bearing capacity factors for different ${\varphi }^{\prime }$ are given below.



$\begin{array}{cccc}{\varphi }^{{}^{\prime }}& N_c& N_q& N_{\gamma }\\ {15}^{\circ }& 12.9& 4.4& 2.5\\ {20}^{\circ }& 17.7& 7.4& 5.0\\ {25}^{\circ }& 25.1& 12.7& 9.7\\ {30}^{\circ }& 37.2& 22.5& 19.7\end{array}$



Using Terzaghi's bearing capacity equation and a factor of safety $F_s=2.5,$ the net safe bearing capacity (expressed in kN/$m^2$) for local shear failure of the soil is

1. 298.48

Other Foundation Engineering 1 year ago

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A 4 m wide strip footing is founded at a depth of 1.5 m below the ground surface in a $c-\varphi$ soil as shown in the figure. The water table is at a depth of 5.5 m below ground surface. the soil properties are c' = 25 kN/$m^2$, ${\varphi }^{\prime }$ = ${28.63}^o$, ${\gamma }_{sat}$ = 19 kN/$m^3$, ${\gamma }_{bulk}$ = 17 kN/$m^3$ and ${\gamma }_w$ = 9.81 kN/$m^3$. the values of bearing capacity factors for different ${\varphi }^{\prime }$ are given below.



$\begin{array}{cccc}{\varphi }^{{}^{\prime }}& N_c& N_q& N_{\gamma }\\ {15}^{\circ }& 12.9& 4.4& 2.5\\ {20}^{\circ }& 17.7& 7.4& 5.0\\ {25}^{\circ }& 25.1& 12.7& 9.7\\ {30}^{\circ }& 37.2& 22.5& 19.7\end{array}$



Using Terzaghi's bearing capacity equation and a factor of safety $F_s=2.5,$ the net safe bearing capacity (expressed in kN/$m^2$) for local shear failure of the soil is

1. 298.48