Problem $2$

The below figure shows an infinite slope without seepage through the soil. The soil properties of the slope are: $=18k\frac{N}{m^3},c^{\text{'}}=10$kPa and ${}^{\text{'}}={22}^0.$

a$)$ If $={28}^0,$ what will be the thickness of the soil layer $($H$)$ for critical equilibrium $($mobilised shear stress is equal the shear strength$)?$

b$)$ If $={28}^0,$ find the thickness of the soil layer $($H$)$ so that the factor of safety against sliding is $2\mathrm{.}5.$