Determine the vertical displacement of joint A. Assume the members are pin connected at their end points. Take A = 3 in2 and E = 29(103) ksi for each member. Use the method of virtual work.
Vertical displacement of Joint A
Answer to Problem 8.1P
Explanation of Solution
Given information:
The members are pin connected at end points.
A = 3 in2
E = 29(103) ksi
Virtual Work Method
Virtual external work done = Sum of the internal work done
Calculation:
The virtual and real member forces are calculated by method of joints.
Member forces when original load is applied:
Taking moment about B, we get,
Joint A:
Joint B:
Joint D:
Member forces when virtual load is applied:
Taking moment about B, we get,
Joint A:
Joint B:
Joint D:
Conclusion:
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