. The concrete gravity dam is held in place by its own weight. If the density of concrete is rc = 2.5 Mg>m3 , and water has a density of rw = 1.0 Mg>m3 , determine the smallest dimension d that will prevent the dam from overturning about its end A. A d 1 m 6 m d 1 Prob. 9122

Problem 9-122

. The concrete gravity dam is held in place by its own weight. If the density of concrete is pc = 2.5 Mg/m3 , and water has a density of pw = 1.0 Mg/m3 , determine the smallest dimension d that will prevent the dam from overturning about its end A.

Step by step solution

Step 1 of 6

First we will find the minimum value of d so that the dam does not tip over point A due to the water pressure. The density of water is pw = 1 Mg/m3 and the density of concrete is pc = 2.5 Mg/m3

All we have to do is to find every external force that acts on the dam and then use the equilibrium condition for the rotation about point A to get the distance d.

Since we are not given the length of the dam we will have to calculate the force on the one slice of the dam F/b