Typical force ratios for a gravity dam are 2.0 for overturning and 1 .2 to 1 .5 for sliding. Determine if these requirements are met in the gravity dam depicted in Figure P8.3.3. Assume that the uplift force takes a triangular distribution with maximum magnitude one-third that of the hydrostatic pressure at the heel and zero at the toe. The reservoir is full (design capacity) with 3 ft of free board, and the concrete has a specific gravity of 2.65. The coefficient of friction between the dam base and the foundation is 0.65. Neglect earthquake and sedimentation forces.

4 ft 3 ft 27ft Heel Toe