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2nd midterm

# 2nd midterm - EM-319 M.E.Mear A nJr~w Fall 2006 Exam II...

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",--- EM-319 M.E.Mear A nJr~w ~I e IS()fl kJEf) :;1- cr flf\ Fall 2006 Exam II J a..lu.Wl. •. Problem 1: A hollow steel cylinder is joined to an aluminum cylinder as indicated in the figure. The outer and inner diameter of the steel cylinder are 2D and D, respectively, and the shear modulus for the steel is Gs=3G. The diameter of the aluminum cylinder is 2D and the shear modulu,s for the aluminum is Ga=G. Torques with magnitude To are applied to the assembly as shown. Find: a) The maximum shear stress in the steel and in the aluminum, and b) the rotation of the free end of the assembly. NOTE: Your answers should be only in terms of the quantities {D, a, G, To}. Problem 2: A steel bar is joined to an aluminum bar as indicated in the figure. The assembly is retrained at its end by rigid walls. The diameter of both bars is D, the shear modulus for the steel is Gs=3G, and the shear modulus for the aluminum is Ga=G. Torques with magnitude To are applied to the assembly as shown. Find: a) The maximum

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2nd midterm - EM-319 M.E.Mear A nJr~w Fall 2006 Exam II...

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