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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
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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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.
Transcribed Image Text: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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