The torsional assembly shown consists of a hollow aluminum alloy [G=28 GPa] segment (2) and two brass [G=44 GPa] tube segments (1) and (3). The brass segments have an outside diameter of 113.4mm, a wall thickness of 5.6 mm, and lengths of L1=L3=2380mm. Aluminum segment (2) has an outside diameter of 68.4 mm, a wall thickness of 3.3mm, and a length of L2=4250mm. If concentrated torques of TB=2.8 kN⋅m and TC=6.0 kN⋅m are applied in the directions shown, determine: (a) the maximum shear stress magnitude in brass tube segments (1) and (3). [Answer: 25 MPa, 57.8 MPa]

The torsional assembly shown consists of a hollow aluminum alloy [G=28 GPa] segment (2) and two brass [G=44 GPa] tube segments (1) and (3). The brass segments have an outside diameter of 113.4mm, a wall thickness of 5.6 mm, and lengths of L1=L3=2380mm. Aluminum segment (2) has an outside diameter of 68.4 mm, a wall thickness of 3.3mm, and a length of L2=4250mm. If concentrated torques of TB=2.8 kN⋅m and TC=6.0 kN⋅m are applied in the directions shown, determine:
(a) the maximum shear stress magnitude in brass tube segments (1) and (3). [Answer: 25 MPa, 57.8 MPa]