Concept explainers
Repeat Problem 2.4-8, but assume that the bar is made of aluminum alloy and that BC is prismatic. Assume that P = 20 kim. L = 3 ft.t = 314 in., b1 2m.b 2.Sin.andElO.400ksi.
The reaction force at point A and C and displacement at point B.
Answer to Problem 2.4.9P
The reaction force at point A is
The reaction force at point C is
The displacement at point B is
Explanation of Solution
Given information:
Load is
The below figure shows the free body diagram of the bar.
Figure-(1)
Here, the reaction force at point A is
Write the expression for the thickness at section D.
Here, the width of the bar at point A is
Write the expression for the force balance in horizontal direction.
Write the expression for the total deflection.
Here, the deflection of the section AD is
Write the expression for the deflection for section AB.
Here, the cross-section area is
Write the expression for the cross-section area of the bar AD.
Here, the thickness is
Write the expression for the deflection for section AD.
Substitute
Write the expression for the cross-section area of the bar DB.
Here, the width of the bar at point B is
Substitute
Write the expression for the deflection for section BC.
Write the expression for the area of section BC.
Substitute
Substitute
Substitute
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The reaction force at point A is
The reaction force at point C is
The displacement at point B is
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Chapter 2 Solutions
Mechanics of Materials (MindTap Course List)
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