A hollow shaft with an outside diameter of 133 mm and an inside diameter of 121

Question

A hollow shaft with an outside diameter of 133 mm and an inside diameter of 121 mm is subjected to both a torque of T = 5.1 kN-m and an axial tension load of P = 118 kN, as shown. Determine the normal and shear stresses at point H and show them on a stress element.

A hollow shaft with an outside diameter of 133 mm and an inside diameter of 121 mm is subjected to both a torque of T = 5.1 kN-m and an axial tension load of P = 118 kN, as shown. Determine the normal and shear stresses at point H and show them on a stress element.

Explanation / Answer

Normal stress = P/(pi/4 x (d02 - di^2))

   = 118 / (pi/4 x ( 0.133^2 - 0.121^2))

   = 49317.08 KN/m^2 = 49.317 Mpa

shear stress = 16T.do /(pi. (do^4 - di^4))

   = 16 x 5.1 x 0.133 x/ ( pi x (0.133^4 - 0.121^4))

   = 35056.71 Kn/m^2 = 35.056 Mpa

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