Determine the resultant horizontal and vertical force component that the water exerts on the side of the dam. the dam is 25 ft long and specific weight = 62.4 ib/ft cubed. diagram is located at:

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Resultant vertical force component is 260005.2 Ibs

Resultant horizontal force component is 487500 Ibs

Explanation:

From P = Specific Weight * height

P = 62.4 * 25 = 1560Ib/ft^2

Then, W = P * Z

W = 1560 * 25 = 39000Ib/ft

Resultant forces

Let the base length be 10ft

A = 2/3 (a*b)

A = 2/3 (10* 25) = 166.67ft^2

Resolving vertical component

F vertical = Specific weight * Volume

F vertical = 62.4 (166.67 * 25)

F vertical = 260005.2 Ibs

Resolving horizontal component

F horizontal = 1/2 (W * height )

F horizontal = 1/2 ( 39000 *25)

F horizontal = 487500 Ibs

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