Lateral Force and Pressure on a dam

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SUMMARY

The total lateral force on a vertical dam measuring 75 ft in height and 135 ft in width, with water reaching the top, is calculated to be 2.4 x 107 pounds. This value is derived from the hydrostatic pressure exerted by the water, which increases linearly with depth. The pressure at the lake bottom adjacent to the dam can be determined using the hydrostatic pressure formula, P = ρgh, where ρ is the water density, g is the acceleration due to gravity, and h is the height of the water column.

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  • Understanding of hydrostatic pressure principles
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  • Ability to perform calculations involving pressure and force
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Civil engineers, structural engineers, hydrologists, and anyone involved in dam design and water resource management will benefit from this discussion.

designer rose
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1a. What is the total lateral force on a vertical dam 75 ft high and 135 ft wide if the water comes up to the very top of the dam?

I think I got the answer to this one, is it 2.4 x 10^7?

1b. What is the pressure on the lake bottom next to the dam?
 
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Show how you got 1a please.

If you got 1a, then how did you resolve the pressure distribution across the face of the dam?
 

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