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A stepped shaft ABC consisting of two solid circular segments is subjected to torques '1 and T, acting in opposite directions, as shown in the figure. The larger segment of the shaft has a diameter of d1= 2.25 in. and length L1= 30 in.;the smaller segment has a diameter of d2 1.75in. and length of L1= 20 in. The material is steel with shear modulus G = 11x 106 psi, and the torques are T1= 20.000 lb-in, and T2 8000 lb-in.
(a) Calculate the maximum shear stress tmax in the shaft and the angle of twist Φc (in degrees) at end C.
(b) If the maximum shear stress in BC must be the same as that in what is the required diameter of segment BC? What is the resulting twist at end C?
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