
Concept explainers
The couple

Answer to Problem 10.31P
The couple
Explanation of Solution
Given:
For equilibrium the value of
The value of force
Concept used:
To determine the couple
Draw the kinematic diagram for the mechanism as shown below:
The instantaneous center of the system is at point D after theapplication of virtual angular displacement at point A the bar AB rotates about point A and bar BC will rotate about point D.
From above figure, by help of geometry angle
Simplify further for
Here,
Write the expression for the distance between points A and C.
Here,
Write the expression for the distance between point C and D.
Here,
Write the expression for the distance between point A and D.
Here,
Write the expression for the distance between point B and D.
Here,
Write the expression for displacement of point B fro bar AB.
Here,
Write the expression for displacement of point B for bar BC.
Here,
Write the expression for displacement of point C for bar BC.
Here,
Write the expression for net virtual work done on the system.
Here,
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
The couple
Conclusion:
Thus, the couple
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Chapter 10 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
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