TL1В(2)L2Figure-1A composite shaft is subjected to a torque as shown in Figure-1. The shaft consists of two portions that are connected at flange B. The composite shaft is securely attached to rigid supports at Aand C. The portion (1) has a diameter of 24 mm, a length of 233 mm, and a shear modulus of 45 GPa. The portion (2) has an outer diameter of 27 mm and inner diameter of 18 mm, a length of215 mm, and a shear modulus of 38 GPa. If T=288 N.m is applied to flange B,Determine the polar moment of inertia (mm) of the portion (1).Determine the polar moment of inertia (mm) of the portion (2).Determine the magnitude of the reaction moment (N.m) at A.Determine the magnitude of the reaction moment (N.m) at C.Determine the magnitude of the maximum shear stress (MPa) in the portion (1).Determine the magnitude of the maximum shear stress (MPa) in the portion (2).Determine the twist angle (degree) of flange B relative to support A.

GIVEN DATA: L1=233 mmL2=215 mmD1=24mmD2 OUTER=27 mmD2 INNER=18mmT=288 Nm

A composite shaft is subjected to a torque as shown in Figure-1. The shaft consists of two portions that are connected at flange B. The composite shaft is securely attached to rigid supports at A and C. The portion (1) has a diameter of 24 mm, a length of 233 mm, and a shear modulus of 45 GPa. The portion (2) has an outer diameter of 27 mm and inner diameter of 18 mm, a length of 215 mm, and a shear modulus of 38 GPa. If T=288 N.m is applied to flange B,

A composite shaft is subjected to a torque as shown in Figure-1. The shaft consists of two portions that are connected at flange B. The composite shaft is securely attached to rigid supports at A and C. The portion (1) has a diameter of 24 mm, a length of 233 mm, and a shear modulus of 45 GPa. The portion (2) has an outer diameter of 27 mm and inner diameter of 18 mm, a length of 215 mm, and a shear modulus of 38 GPa. If T=288 N.m is applied to flange B,

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

T
L1
В
(2)
L2
Figure-1
A composite shaft is subjected to a torque as shown in Figure-1. The shaft consists of two portions that are connected at flange B. The composite shaft is securely attached to rigid supports at A
and C. The portion (1) has a diameter of 24 mm, a length of 233 mm, and a shear modulus of 45 GPa. The portion (2) has an outer diameter of 27 mm and inner diameter of 18 mm, a length of
215 mm, and a shear modulus of 38 GPa. If T=288 N.m is applied to flange B,
Determine the polar moment of inertia (mm) of the portion (1).
Determine the polar moment of inertia (mm) of the portion (2).
Determine the magnitude of the reaction moment (N.m) at A.
Determine the magnitude of the reaction moment (N.m) at C.
Determine the magnitude of the maximum shear stress (MPa) in the portion (1).
Determine the magnitude of the maximum shear stress (MPa) in the portion (2).
Determine the twist angle (degree) of flange B relative to support A.

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A composite shaft is made by slipping a bronze tube of 3.8-in. outer diameter and 2.5-in. inner diameter over a solid steel shaft of the same length and 2.5-in. diameter. The two components are then fastened rigidly together at their ends. What is the largest torque that can be carried by the composite shaft if the working shear stresses are 10 ksi for bronze and 14 ksi for the steel? For bronze, G = 6 x 10⁰ psi, and for steel, G = 12 x 10° psi.