The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze slee has an outside diameter of 40 mm, an inside diameter of 30 mm, and a shear modulus of G1 = 42 GPa. The solid steel core has a diameter of 30 mm and a shear modulus of G2 = 84 GPa. Assume L = 380 mm. The composite shaft is subjected to a torque of T = 8 N-m. Determine (a) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end Brelative to end A.

The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze slee has an outside diameter of 40 mm, an inside diameter of 30 mm, and a shear modulus of G1 = 42 GPa. The solid steel core has a diameter of 30 mm and a shear modulus of G2 = 84 GPa. Assume L = 380 mm. The composite shaft is subjected to a torque of T = 8 N-m. Determine (a) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end Brelative to end A.

Materials Science And Engineering Properties

1st Edition

ISBN:9781111988609

Author:Charles Gilmore

Publisher:Charles Gilmore

Chapter6: Introduction To Mechanical Properties

Section: Chapter Questions

Problem 6.2DP

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Question

The composite shaft shown in the figure consists of a bronze sleeve (1) securely bonded to an inner steel core (2). The bronze sleeve
has an outside diameter of 40 mm, an inside diameter of 30 mm, and a shear modulus of G1 = 42 GPa. The solid steel core has a
diameter of 30 mm and a shear modulus of G2 = 84 GPa. Assume L = 380 mm. The composite shaft is subjected to a torque of T= 820
N-m.
Determine
(a) the maximum shear stresses in the bronze sleeve and the steel core.
(b) the rotation angle of end Brelative to end A.
T
T
(1)
B
Answers:
(a) T1 =
MPa
T2 =
MPa
(b) PBIA
rad
(2)

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