A 60 mm diameter shaft AB is rigidly attached to the beam CDFH of 30 mm by 40 mm rectangular cross-section as shown in Figure Q4. The beam is pin supported at C and H. A torque of 2 kN.m (moment about z axis) is applied to end B of the shaft. Determine: (a) the reactions at supports Cand H, (b) the rotation about z axis of end B of the shaft by using Castigliano's second theorem, (c) the slope (rotation about z axis) at point C of the beam by using Castigliano's second theorem. The shaft and the beam are made of an aluminum alloy for which E = 72 GPa and G=27 GPa. Assume that the hub DF is rigid and neglect the strain energy due to transverse shear.

A 60 mm diameter shaft AB is rigidly attached to the beam CDFH of 30 mm by 40 mm rectangular cross-section as shown in Figure Q4. The beam is pin supported at C and H. A torque of 2 kN.m (moment about z axis) is applied to end B of the shaft. Determine: (a) the reactions at supports Cand H, (b) the rotation about z axis of end B of the shaft by using Castigliano's second theorem, (c) the slope (rotation about z axis) at point C of the beam by using Castigliano's second theorem. The shaft and the beam are made of an aluminum alloy for which E = 72 GPa and G=27 GPa. Assume that the hub DF is rigid and neglect the strain energy due to transverse shear.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.4.16P: For the thin nonprismatic steel pipe of constant thickness t and variable diameter d shown with...

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