Kenyir dam is re$-$designed as concrete gravity dam and the geometric properties are shown in FIGURE Q$1.$ The safety factor and stability condition are given as follows:

Allowable safety factor of sliding

Allowable safety factor for overturning

Specific weight of concrete, ${}_c$

Specific weight of concrete, ${}_w$

Specific weight of concrete, ${}_w$

Note that the forces are calculated in $k\frac{N}{m}$ length.

$=,0\mathrm{.}7ycc$

$=,1\mathrm{.}5$

$=,24k\frac{N}{m^3}{Y}_c$

$=,9\mathrm{.}81k\frac{N}{m^3}{Y}_{}$

a$.$ Suggest THREE $(3)$ methods to control the uplift force.

$[3$ marks$]$

b$.$ Analyze the forces acting on the dam structures.

$[12$ marks$]$

c$.$ Evaluate the stability of the dam per unit length against overturning and sliding.

$[10$ marks$]$