The composite shaft shown 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 L₁ 235 mm, and a shear modulus of 39 GPa. Aluminum segment (2) has a diameter of 24 mm, a length of L2 = 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. z 235 mm (1) B 165 mm 270 N-m (2)
The composite shaft shown 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 L₁ 235 mm, and a shear modulus of 39 GPa. Aluminum segment (2) has a diameter of 24 mm, a length of L2 = 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. z 235 mm (1) B 165 mm 270 N-m (2)
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The composite shaft shown
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
L₁ 235 mm, and a shear modulus of 39 GPa. Aluminum segment
(2) has a diameter of 24 mm, a length of L₂ = 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.
N
235 mm
(1)
B
165 mm
Partial Ans: Max shear stress in Member 1 is 55.7 MPa
270 N-m
(2)
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