Mechanics of Materials · Axial loading and torsion
A rigid arm is fixed to the free ends of two parallel, initially unstressed circular…
Problem
A rigid arm is fixed to the free ends of two parallel, initially unstressed circular shafts and then rotated so that both shafts twist through the same angle. Shaft 1 is steel, 12 mm in diameter and 400 mm long (G = 80 GPa). Shaft 2 is aluminum, 18 mm in diameter and 250 mm long (G = 27 GPa). The arm applies a total torque of 80 N·m shared by the two shafts. Determine the torque in each shaft and the common angle of twist.
Hint
The rigid arm enforces equal twist, so the shafts act as parallel torsional springs.
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