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.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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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)
Transcribed Image Text: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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