The hollow shaft shown is made of a steel that is assumed to be elastoplastic with Ty=145 MPa and G=77.2 GPa. The magnitude T of the torques is slowly increased until the plastic zone first reaches the inner surface of the shaft; the torques are then removed. Determine the permanent angle of twist of the rod. Take L = 5.8 m. 60 mm 25 mm I The permanent angle of twist of the rod is [

The hollow shaft shown is made of a steel that is assumed to be elastoplastic with Ty=145 MPa and G=77.2 GPa. The magnitude T of the torques is slowly increased until the plastic zone first reaches the inner surface of the shaft; the torques are then removed. Determine the permanent angle of twist of the rod. Take L = 5.8 m. 60 mm 25 mm I The permanent angle of twist of the rod is [

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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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)
Problem # 8: A bar made from aluminum (E = 72 GPa) has a diameter of 12 mm. When the bar is subjected to a tensile axial force P, its diameter is decreased by 0.018 mm. Assume the Poisson's ratio to be 0.33. Determine the value of loads P and its axial deformation. d = 12 mm P L 1.20 m P
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