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Midterm – 9th November 2010<br />Duration: 90 Minutes <br />Closed Book Exam - Non-Programmable Calculators are allowed<br />,[object Object]
Poisson’s ratio. Maximum value 0.5 or when subject to hydrostatic stresses the volume will increase.
Starting from the generalized Hook’s law, how would you include the thermal expansion effect into the relations?                                                       (2 points)
Answerε=σE+αT<br />Will give us:<br />εx=σxE-γEσy+σz+αT<br />εy=σyE-γEσx+σz+αT<br />εz=σzE-γEσx+σy+αT<br />,[object Object]
Reaction forces in C&D                                                            (2 point)
Forces in all truss members indicating whether it is tension or compression                                                                             (2 points)
18611851017905Answer<br />,[object Object],Answer<br />MC=Bxc+Byb=0<br />Bx=-Bybc<br />MA=a2w2-FaSinθ+BxaSinθ-c-Byb+aCosθ=0<br />a2w2-FaSinθ-BybcaSinθ-c-Byb+aCosθ=0<br />a2w2-FaSinθ=ByabcSinθ-b+b+aCosθ<br />a2w2-FaSinθ=ByabcSinθ+Cosθ<br />By=aw2-FSinθbcSinθ+Cosθ<br />Bx=-Bybc=-baw2-FSinθcbcSinθ+Cosθ<br />Fx=Ax+Bx+awSinθ-F=0<br />Ax=-Bx-awSinθ+F<br />Ax=baw2-FSinθcbcSinθ+Cosθ-awSinθ+F<br />Fy=Ay+By-awCosθ=0<br />Ay=-aw2-FSinθbcSinθ+Cosθ+awCosθ<br />,[object Object]

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