Find the force applied by support BC to the gate AB. The width of the gate and support is 3 m and the weight of the gate is 1500N.
The force applied by support
Answer to Problem 87P
The force applied by support
Explanation of Solution
Given information:
The width of the gate is
Write the expression of force applied by the water on the gate.
Here, the density of the water is
Write the expression for depth of centre of gravity of the immersed area from free surface of water.
Here, the width of the gate is
Write the expression for area of the gate immersed in the water.
Here, the
The below figure shows the forces acting on the gate.
Figure-(1)
The below figures shows the triangle
Figure-(2)
Write the expression for the length
Write the expression for distance of centre of pressure from free surface of liquid.
Here, the moment of inertia of area about an axis passing through centre of gravity of the area and parallel to the free surface of liquid is
Write the expression for moment of inertia.
Write the expression for cosine rule in the triangle
Write the expression for
The figure below shows the triangle
Figure-(3)
Write the expression for the angle
The below figure shows the moment about point
Figure-(4)
Write the expression for taking moment of all forces about point
The below figure shows the triangle
Figure-(5)
Write the expression for
The below figure shows the triangle
Figure-(6)
Write the expression for
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The force applied by support
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Chapter 3 Solutions
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- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L