EM 319 - 12th Quiz

EM 319 - 12th Quiz - 2 Assume beams AB and CD have same...

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Name: Session: 2 Beam AB and CD (both have constant bending rigidity EI ) are connected by the cable BC (axial rigidity EA , length H ). Beam CD is subjected to a uniformly distributed load q as shown in the figure. Find the internal force of the cable. Solution: Take the cable force as the redundant Compatibility: ) 2 3 1 ( 16 3 3 2 8 3 3 4 EAL EIH qL EA H EI L EI qL T cable B D + = + = + = δ q L A B C D H q A B C D T T EI TL B 3 3 = EI TL EI qL D 3 8 3 4 = EA TH cable =
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Unformatted text preview: 2 Assume beams AB and CD have same bending rigidity EI = constant. Find the internal force of the spring. Solution: Take the spring force as the redundant Compatibility: 10 P F spring B C = + = A B C D P 3 3 L EI k = 2 L L A B C D F F ( ) EI FL EI L F B 3 8 3 2 3 3 = = EI FL k F spring 3 3 = = EI FL EI PL C 3 3 3 3 = P...
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EM 319 - 12th Quiz - 2 Assume beams AB and CD have same...

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