Problem $3$

For the cantilever retaining wall shown in the following figure calculate the factor of safety with respect to overturning and sliding. The required SF for all of them is $2\mathrm{.}0.$ Note the soil under and in front of the wall have different properties from the soil behind the wall. Assume following:

A tensile crack has been developed in the backfill.

The top of the foundation base is $0\mathrm{.}8m$ from ground surface and the top of the wall to bottom of foundation is $6\mathrm{.}7m.$ Foundation thickness is $0\mathrm{.}6m.$

The wall is all made of concrete for soil$-$wall interaction

Groundwater table is very deep

For K value use the table for Rankine active$/$passive pressure coefficients

${}_{\text{c}\text{o}\text{n}\text{c}\text{r}\text{e}\text{t}\text{e}}=23\mathrm{.}56K\frac{N}{m^3}$