Question
Asked Jul 9, 2019
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A dam 30.5m long retains 8 m of fresh water and is inclined at an angle of 60 degrees. Calculate the magnitude of the resultant force on the dam and the location of the center of pressure.

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Expert Answer

Step 1

Write the expression to obtain the length.

 

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h sin 60° 8 m sin 60° l =9.2376 m

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Step 2

Write the expression to obtain the magnitude of the resultant force on the dam.

 

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F pgAh h F =pg(1xb) - 2 8 m F 1000 kg/m3 x9.81 m/s2 x (9.2376 m x 30.5 m)x- 1kN F = 11055744.43 N 10'N F 11055.744 kN

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Step 3

Write the expression to obtain the location...

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Isin2 0 h hc Ah 1 bl3 x sin2 0 12 h hc h 2 (lxb) 12 x sin2 hc h 2 6h (9.2376 m) x (sin 60°) 8 m 6(8 m) 2 he 5.333 m

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Engineering

Mechanical Engineering

Fluid Mechanics

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