- #1

CGI

- 74

- 1

## Homework Statement

Find height (h) of the water level which can result in failure of dam by tipping it over due to water pressure at U/S of dam. Also draw the free body diagram.

Density of water to be = 1000 kg/m^3 and its specific weight=62.4 lb/ft^3

Hints: The specific weight of concrete is = 150 lb/ft^3.

Width of dam = 1ft.

## Homework Equations

Fr = (Specific Weight)(Height to Centroid)(Area)

## The Attempt at a Solution

I've thought about rearranging the Fr equation so that I get

h = Fr/(Specific Weight * Area)

But the part where I'm confused is where to get the Fr from.

I thought that I could get Fr for the concrete by using

150 lb/ft^3 for the specific weight

(12ft * 1 ft*) As the Area

If I were to go about it this way(which I'm not even sure if it is right) how would I go about finding the height

to the centroid?

I tried to draw the free body diagram and I know that the pressure due from the water is in a prism-like shape as shown, but this is all I have. The resultant force from the water is also shown on there.

I hope I used the template right! If anyone could help me on this, I would really appreciate it!