A dam has a parabolic shape \(\frac{z}{{{z_0}}} = {\left( {\frac{x}{{{x_0}}}} \right)^2}\) as shown in the figure with x0 = 3 m and z0 = 7 m. The fluid is water (specific weight = 9810 N/m3) and atmospheric pressure may be omitted. Compute the horizontal force FH and its line of action from the surface of the water ‘d’. Assume width of dam is 15 m.

A dam has a parabolic shape \(\frac{z}{{{z_0}}} = {\left( {\frac{x}{{{

1.	A dam has a parabolic shape \(\frac{z}{{{z_0}}} = {\left( {\frac{x}{{{x_0}}}} \right)^2}\) as shown in the figure with x0 = 3 m and z0 = 7 m. The fluid is water (specific weight = 9810 N/m3) and atmospheric pressure may be omitted. Compute the horizontal force FH and its line of action from the surface of the water ‘d’. Assume width of dam is 15 m.
A.	FH = 3605 kN, d = 1.16 m
B.	FH = 3605 kN, d = 4.66 m
C.	FH = 4300 kN, d = 4.66 m
D.	FH = 4300 kN, d = 1.16 m
Answer» C. FH = 4300 kN, d = 4.66 m

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