A gravity concrete dam has a vertical upstream face, a crest width of 1.5 m and a base width of 20 m. The height of water above the heel if 6.50 m. and the freeboard height is 2.0 m. No water at the toe of the dam.

a. draw the distribution of pressure on the dam upstream face and determine the total pressure on the upstream face and location of the center of pressure.

b. draw the distribution of the uplift force and determine the total uplift force and its location on the base of the dam.

c. determine the total weight of the dam if concrete weighs 23.56 kN/m3 and determine the point where the total weight will be acting on the dam.

d. considering the hydrostatic pressure, uplift force and weight of the dam, calculate the righting moment and overturning moment, and the factor of safety against overturing.

e. calculate the factor of safety against sliding if the coefficient of friction between the dam base and foundation is 0.60.