MEM427_HW_3_Solution

MEM427_HW_3_Solution - MEM427 HW Assignment#3 Solutions...

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Unformatted text preview: MEM427 HW Assignment #3 Solutions Fall 2010 1 / 2 Homework Assignment #3(a) Use the Castigliano’s theorem (dummy load method) to determine the slope equation for a cantilever beam subjected to a force P and a moment M at its free end, as shown in the figure. (Hint: Apply a dummy moment at point C .) Solution: Apply a dummy moment Q at point C as shown. The moment equation of the beam and its derivative w.r.t. Q are given by L x a Q Px M a x Px M M ; L x a a x Q M M 1 From the Castigliano’s theorem, we have...
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MEM427_HW_3_Solution - MEM427 HW Assignment#3 Solutions...

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