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.
1
FH = 3605 kN, d = 1.16 m
2
FH = 3605 kN, d = 4.66 m
3
FH = 4300 kN, d = 4.66 m
4
FH = 4300 kN, d = 1.16 m