3) If the maximum torsional shear stress for the shown circular shaft is 4000 psi, the torsional shear stress at the given radial coordinate is------psi. A-3200 C-zero B-5000 D-4000 r=5in p=4in --*-

A metal shaft ABCD with variable cross-section is subjected to three external torques (T₁=28 kip- in, T2=8 kip-in, and T3=10 kip-in) as shown in the figure below. Each torque is acting at the locations marked with circular points along the shaft. Note that a 16-inch long segment of the shaft at the free end (right) has a 1-inch diameter bore. The dimensions (lengths and diameters) of the shaft are given in the figure. Assume deformation is linear elastic and take G=12×106 psi. D [3" 16"- X C T₁ 2" -32"- T₂ 1" diam. bore B -16"- A T3 the bar has a uniform diameter d along its full length, but external torques remain the same and are applied at the same locations. If the failure shear stress for the material is equal to Tfail = 10 ksi, and the factor of safety is equal to 2, determine the required (uniform) diameter d for the bar. Assume that the bar is solid for its entire length.

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4-Determine the rotation angle between A and C, if the torque is T=0.9 N.m in point C, if G=80 GPa and diameter of all shafts are D=4 mm. (The radius of small circle are r and the bigger one are 2r) e are Coder 40 T=09N.N