63_Problem CHAPTER 10

63_Problem CHAPTER - PROBLEM 10.57 Determine the vertical movement of joint D if the length of member BF is increased by 75 mm(Hint Apply a

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PROBLEM 10.57 Determine the vertical movement of joint D if the length of member BF is increased by 75 mm. ( Hint: Apply a vertical load at joint D , and, using the methods of Chapter 6, compute the force exerted by member BF on joints B and F . Then apply the method of virtual work for a virtual displacement resulting in the specified increase in length of member BF . This method should be used only for small changes in the lengths of members.) SOLUTION Apply vertical load P at D . ( ) ( ) 0: 12 m 36 m 0 H MP E Σ =− + = 3 P = E 3 0 53 yB F P FF Σ = 5 9 BF FP = Virtual Work: We remove member BF and replace it with forces BF F and BF F at pins F and B , respectively. Denoting the virtual displacements of points
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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