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(20 points) A prismatic bar with shear modulus G is subjected to an axial torque T. It has an elliptical cross-section with an elliptical

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(20 points) A prismatic bar with shear modulus G is subjected to an axial torque T. It has an elliptical cross-section with an elliptical hole as shown. (a) Choose a suitable Prandtl stress function (x, y). (b) Find the magnitude of the shear stresses at A, B, C, and D. (c) Find the torsional constant J for the cross-section. y A 2a B a C D 3a/2 -3a-

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