Exercise $13.,**$ Extension Question

Water backs up behind a concrete gravity dam as shown in the figure. Leakage under the dam gives a

linearly varying pressure distribution under the dam, as indicated. If the water depth, $h,$ is too great, the

dam will topple over about its toe $($point A$).$ For the dimensions given, determine the minimum weight

of the dam per unit length, if the water depth is $h=25m.[$Ans$.$: $6\mathrm{.}77MN]$