Pravinbhai A composite assembly of length, L = 300 mm, consisting of a steel [G = 79 GPa] core (2) connected by rigid plates at the ends of analuminum [G = 33 GPa] tube (1) is shown. The aluminum tube has outside diameter D₁ = 50 mm and inside diameter d₁ = 35 mm.The solid steel core has diameter d₂ = 25 mm. The allowable shear stress of aluminum tube (1) is (Tallow)1 = 85 MPa, and theallowable shear stress of steel core (2) is (Tallow)2 = 140 MPa. Determine(a) the allowable torque T that can be applied to the composite shaft.(b) the corresponding torques produced in tube (1) and core (2).(c) the angle of twist produced by the allowable torque T.TA(1)Answer: J₁ =2Calculate the polar moment of inertia, J₁, of the aluminum tube..4662688L(10%) mm 4.Td₂(1)d₁D₁

To findthe allowable torque T that can be applied to the composite shaft.The corresponding torque is…

A composite assembly of length, L = 300 mm, consisting of a steel [G = 79 GPa] core (2) connected by rigid plates at the ends of an aluminum [G 33 GPa] tube (1) is shown. The aluminum tube has outside diameter D₁ = 50 mm and inside diameter d₁ = 35 mm. The solid steel core has diameter d₂ = 25 mm. The allowable shear stress of aluminum tube (1) is (Tallow) = 85 MPa, and the allowable shear stress of steel core (2) is (Tallow)2 = 140 MPa. Determine (a) the allowable torque T that can be applied to the composite shaft. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced by the allowable torque T. T A (1) (2) T B d₂ (1) d₁ D₁

A composite assembly of length, L = 300 mm, consisting of a steel [G = 79 GPa] core (2) connected by rigid plates at the ends of an aluminum [G 33 GPa] tube (1) is shown. The aluminum tube has outside diameter D₁ = 50 mm and inside diameter d₁ = 35 mm. The solid steel core has diameter d₂ = 25 mm. The allowable shear stress of aluminum tube (1) is (Tallow) = 85 MPa, and the allowable shear stress of steel core (2) is (Tallow)2 = 140 MPa. Determine (a) the allowable torque T that can be applied to the composite shaft. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced by the allowable torque T. T A (1) (2) T B d₂ (1) d₁ D₁

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.10.9P: A square steel tube of a length L = 20 ft and width b2= 10.0 in. is hoisted by a crane (see figure)....

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