QUESTION $3$

a$.$ For the gravity dam depicted in Figure $3,$ if a factor of safety against sliding is $1\mathrm{.}3,$ check if the dam is safe against sliding? Assume the coefficient of friction between the dam base and the foundation is $0\mathrm{.}6,$ the specific gravity of concrete is $2\mathrm{.}5,$ and full uplift forces exist on the base of the dam. Neglect earthquake and sedimentation forces.

b$.$ Given that the factor of safety against overturning is $2\mathrm{.}0$ for the gravity dam depicted in Figure $3.$ Analyse for dam safety against overturning during a flood event. Assume the specific gravity of concrete is $2\mathrm{.}5,$ and full uplift forces exist on the base of the dam. Neglect earthquake and sedimentation forces.

$[10]$

c$.$ Comment and give suggestions where necessary on your answers in a and b$.$

$[5]$

Figure $3$