The following geometry and basic data for a concrete dam are given in figure below The dam is in reservoir full condition. Onsider the weight of the dam, water pressure and uplift pressure, determine the dam design factor of safety against

$($i$)$ Tension

$($ii$)$ Overturning

$($iii$)$ Suding

$($iv$)$

Also determine the principal and shear stresses

Dimensions

$\backslash$table$[[L_1=57m,$Elevation at $C=10m$