The horizontal component of hydrostatic force against the dam.
The vertical component of hydrostatic force against the dam.
The point
Answer to Problem 2.82P
The horizontal component of hydrostatic force against the dam is
The vertical component of hydrostatic force against the dam is
The point
Explanation of Solution
Write the expression for horizontal hydrostatic force.
Here, the pressure is
Write the expression for the pressure acting on dam.
Here, the specific weight of water is
Substitute
Write the area of the projected plane.
Here, the width of dam is
Write the height of center of gravity from projected plane.
Substitute
Write the position of center of pressure on vertical plane.
Here, the moment of inertia is
Write the moment of inertia for dam.
Substitute
Write the line of action of horizontal force.
Substitute
Write the vertical component of hydrostatic force.
Here, the volume of the curved part is
Write the volume of the curved part.
Substitute
Write the line of action of the vertical component of hydrostatic force.
Write the resultant force at
Write the angle of the forces.
The below diagram shows the force
Figure-(1)
In Figure-(1), the height of
Write the height of
Write the horizontal distance of
Conclusion:
Substitute
Thus, the horizontal component of hydrostatic force against the dam is
Substitute
Thus, the vertical component of hydrostatic force against the dam is
Substitute
Substitute
Substitute
Thus, the point
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Chapter 2 Solutions
Fluid Mechanics
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