   # A concrete seawater dam is shown in cross section. Is the dam safe against tipping about edge A ? The mass densities are 24000 kg/m 3 for concrete and 1030 kg/m 3 for seawater. ### International Edition---engineerin...

4th Edition
Andrew Pytel And Jaan Kiusalaas
Publisher: CENGAGE L
ISBN: 9781305501607
Chapter 8, Problem 8.118P
Textbook Problem
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## A concrete seawater dam is shown in cross section. Is the dam safe against tipping about edge A? The mass densities are 24000   kg/m 3 for concrete and 1030   kg/m 3 for seawater. To determine

Whether the dam safe against tipping about edge A

### Explanation of Solution

Given information:

Densities of concrete and sea water are 2400kg/m3,1030kg/m3 respectively.

The resultant force P is defined as:

P=pA

In above equation

p - Pressure

A - Area

The weight 'W' of water is defined as:

W=ρg×V

V - Volume

Calculation:

Assume R as the resultant force and N as the normal force.

Assume W1,W2,W3 as the weight of water acting on the dam.

Assume x,y1 as the line of action.

The resultant force R of 1m length of dam

R=12ph=12ρgh2=12(1030kg/m3)(9.81m/s2)(4m)2=80834.4N

The distance y1

y1=43=1.333m

The weight W1 of water

W1=23ρgah=23(1030kg/m3)(9.81m/s2)(1.5m)(4m)=40417.2N

The distance x1

x1=25a=25(1.5)=0.6m

The weight W2 of concrete

W2=gρcbh=(2400kg/m3)(9

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