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 35 mm, an inside diameter of 30 mm, and a shear modulus of G - 45 GPa. The solid steel core has a diameter of 30 mm and a shear modulus of G2 - 85 GPa. Assume l- 380 mm. The composite shaft is subjected to a torque of T- 800 N-m. Determine (2) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end B relative to end A. (1) B

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 35 mm, an inside diameter of 30 mm, and a shear modulus of G - 45 GPa. The solid steel core has a diameter of 30 mm and a shear modulus of G2 - 85 GPa. Assume l- 380 mm. The composite shaft is subjected to a torque of T- 800 N-m. Determine (2) the maximum shear stresses in the bronze sleeve and the steel core. (b) the rotation angle of end B relative to end A. (1) B

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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Material Properties

Construction in civil engineering demands high strength, durability, and longevity. These targets can be achieved by better design and analysis, along with the correct choice of materials. Different materials have different properties and hence, they respond and performs differently under the various condition of external loadings. It is therefore a critical task of an engineer to select the right material based on the property that the material is supposed to function in real-time. When speaking about the property, there are different categories of material properties like chemical property, physical property, mechanical property, electrical property, magnetic property, thermal property, etc. These material properties form the basis of material selection in various applications.

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 35 mm, an inside diameter of 30 mm, and a shear modulus of G2 - 45 GPa. The solid steel core has a
diameter of 30 mm and a shear modulus of G2 - 85 GPa. Assume L - 380 mm. The composite shaft is subjected to a torque of T- 800
N-m.
Determine
(a) the maximum shear stresses in the bronze sleeve and the steel core.
(b) the rotation angle of end B relative to end A.
(1)
L
B
Answers:
MPa
(a) TI =
MPa
rad
(b) PBIA =

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1. See figure below and solve for the maximum value of torque the composite shaft can accommodate given a maximum shear stress of 8ksi in bronze and 12 ksi for the steel. Assume bronze has G = 6 × 103 ksi, and for steel, G = 12 × 103 ksi. %3| L C2" 3" Hollow Bronze Steel Core D = 3 in, d = 2 in D = 2 in