The composite shaft showWn in Figure consists of a solid brass segment (1) and a solid aluminum segment (2) that are connected at flange B and securely attached to rigid walls at A and C. Brass segment (1) has a diameter of 18 mm, a length of L = 235 mm, and a shear modulus of 39 GPa. Aluminum segment (2) has a diameter of 24 mm, a length of L, = 165 mm, and a shear modulus of 28 GPa. If a concentrated torque of 270 N-m is applied to flange B, determine (a) the maximum shear stress magnitudes in segments (1) and (2). (b) the rotation angle of flange B relative to support A.

The composite shaft showWn in Figure consists of a solid brass segment (1) and a solid aluminum segment (2) that are connected at flange B and securely attached to rigid walls at A and C. Brass segment (1) has a diameter of 18 mm, a length of L = 235 mm, and a shear modulus of 39 GPa. Aluminum segment (2) has a diameter of 24 mm, a length of L, = 165 mm, and a shear modulus of 28 GPa. If a concentrated torque of 270 N-m is applied to flange B, determine (a) the maximum shear stress magnitudes in segments (1) and (2). (b) the rotation angle of flange B relative to support A.

Steel Design (Activate Learning with these NEW titles from Engineering!)

6th Edition

ISBN:9781337094740

Author:Segui, William T.

Publisher:Segui, William T.

Chapter5: Beams

Section: Chapter Questions

Problem 5.2.1P

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Concept explainers

Composite Construction

Composite construction is the construction of structures in which two or more materials are used. Regarding structural engineering, composite construction is a construction where two materials are bound together in a technical manner such that both the materials act as a single unit to carry and transfer the load. The motives of composite construction are to increase the structural strength, make structures more aesthetic, and provide a sustainable environment.

Question

H.W.7: The composite shaft shown in Figure
solid brass segment (1) and a solid aluminum segment (2) that are
connected at flange B and securely attached to rigid walls at
A and C. Brass segment (1) has a diameter of 18 mm, a length of
L = 235 mm, and a shear modulus of 39 GPa. Aluminum segment
(2) has a diameter of 24 mm, a length of L = 165 mm, and a shear
modulus of 28 GPa. If a concentrated torque of 270 N-m is applied to
flange B, determine
consists of a
(a) the maximum shear stress magnitudes in segments (1) and (2).
(b) the rotation angle of flange B relative to support A.
270 N-m
235 mm
165 mm
FIGURE

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