WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
Question
100%
Chapter 3, Problem 3.6.1P
To determine

## The magnitude and location of the hydrostatic force on the vertical rectangular plate.

469.92kN and 6.056m

### Explanation of Solution

Given:

Length of the rectangular plate = 4 m

Width of the rectangular plate = 2 m

Formula used:

F=γhcA

where, F is the hydrostatic force

γ is a constant

hc is the vertical distance to the centroid

A is the surface area

Calculation:

The given figure is shown below:

The vertical distance to the centroid is calculated as:

hc=5+22=6m

The hydrostatic force is calculated as:

F=γhcAF=9.79×6×(4×2)F=469.92kN

The location of the hydrostatic force is calculated as:

y=yc+IycAy=6+ 4× 2 3 126×( 4×2)y=6+2.6748y=6+0.056y=6.056m

Conclusion:

The magnitude and location of the hydrostatic force on the vertical rectangular plate are 469.92kN and 6.056m.

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# Chapter 3 Solutions

WATER RESOURCES ENGINEERING

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