Problem 5-1/5-2/5-3/ Engineering Mechanics Materials

Engineering Mechanics problem with solution
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5–1. The solid shaft of radius r is subjected to a torque T . Determine the radius r! of the inner core of the shaft that resists one-half of the applied torque ( TN2). Solve the problem two ways: (a) by using the torsion formula,
(b) by finding the resultant of the shear-stress distribution.

5–2. The solid shaft of radius r is subjected to a torque T . Determine the radius r! of the inner core of the shaft that resists one-quarter of the applied torque ( TN4). Solve the problem two ways: (a) by using the torsion formula, (b) by finding the resultant of the shear-stress distribution.

5–3. The solid shaft is fixed to the support at C and subjected to the torsional loadings shown. Determine the shear stress at points A and B and sketch the shear stress on volume elements located at these points.