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Structure 1 with Member BC of Length L/2L / 2 /2 Has Force

Question 84

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Structure 1 with member BC of length L/2L / 2 /2 has force P1P_{1} applied at joint C. Structure 2 with member BC of length L has force P2P_{2} applied at C.
Both structures have constant flexural rigidity EI. If the ratio of the
Applied forces P1/P2=5/2P_{1} / P_{2}=5 / 2 , the ratio of the joint B rotations θB1/θB2\theta_{B 1} / \theta_{B 2} is
Approximately: (A) 1
(B) 5/4 5 / 4
(C) 3/2 3 / 2
(D) 2

 Structure 1 with member BC of length  L / 2  /2 has force  P_{1}  applied at joint C. Structure 2 with member BC of length L has force  P_{2}  applied at C. Both structures have constant flexural rigidity EI. If the ratio of the Applied forces  P_{1} / P_{2}=5 / 2  , the ratio of the joint B rotations  \theta_{B 1} / \theta_{B 2}  is Approximately: (A) 1 (B)   5 / 4   (C)   3 / 2   (D) 2

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