35 mm 30 mm Steel 2 m Bronze The composite shaft shown is twisted by applying a torque T at end A. The outer shell consists of a steel tube (G = 76 GPa) that has an outer radius of 35 mm and an inner radius of 30 mm. The solid bronze core (G = 38 GPa) has a radius of 30 mm. The allowable shear stress of the steel is 150 MPa, and the allowable shear stress of the bronze is 100 MPa. Determine the maximum torque that can be applied to the composite shaft without exceeding either allowable stress limit.

Question
35 mm
30 mm
Steel
2 m
Bronze
The composite shaft shown is twisted by applying a torque T at end A. The outer shell
consists of a steel tube (G = 76 GPa) that has an outer radius of 35 mm and an inner
radius of 30 mm. The solid bronze core (G = 38 GPa) has a radius of 30 mm. The
allowable shear stress of the steel is 150 MPa, and the allowable shear stress of the
bronze is 100 MPa. Determine the maximum torque that can be applied to the composite
shaft without exceeding either allowable stress limit.
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Transcribed Image Text

35 mm 30 mm Steel 2 m Bronze The composite shaft shown is twisted by applying a torque T at end A. The outer shell consists of a steel tube (G = 76 GPa) that has an outer radius of 35 mm and an inner radius of 30 mm. The solid bronze core (G = 38 GPa) has a radius of 30 mm. The allowable shear stress of the steel is 150 MPa, and the allowable shear stress of the bronze is 100 MPa. Determine the maximum torque that can be applied to the composite shaft without exceeding either allowable stress limit.