A solid bar having a diameter of 160 mm is to be replaced by a rectangular tube having cross- sectional area of 150 mm x 310 mm to the median line of the cross-section. (a) Determine the required thickness of the tube so that the maximum shear stress in the tube will not exceed the maximum shear stress in the solid bar. (b) Determine the shear stress in the tube. If it is subjected to a torque T = 15 kN-m and a thickness of 10 mm. and (c) Determine the angle of twist in degrees of the tube if the length of the tube is 1000 mm and the shear modulus is 75 GPa. Thickness of the tube is 10 mm and the torque T = 15 kN-m.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter3: Torsion
Section: Chapter Questions
Problem 3.11.13P: A thin-walled rectangular tube has uniform thickness t and dimensions a x b to the median line of...
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3. A solid bar having a diameter of 160 mm is to be replaced by a rectangular tube having cross-
sectional area of 150 mm x 310 mm to the median line of the cross-section. (a) Determine the
required thickness of the tube so that the maximum shear stress in the tube will not exceed the
maximum shear stress in the solid bar. (b) Determine the shear stress in the tube . If it is
subjected to a torque T = 15 kN-m and a thickness of 10 mm. and (c) Determine the angle of
twist in degrees of the tube if the length of the tube is 1000 mm and the shear modulus is 75
GPa. Thickness of the tube is 10 mm and the torque T = 15 kN-m.
Transcribed Image Text:3. A solid bar having a diameter of 160 mm is to be replaced by a rectangular tube having cross- sectional area of 150 mm x 310 mm to the median line of the cross-section. (a) Determine the required thickness of the tube so that the maximum shear stress in the tube will not exceed the maximum shear stress in the solid bar. (b) Determine the shear stress in the tube . If it is subjected to a torque T = 15 kN-m and a thickness of 10 mm. and (c) Determine the angle of twist in degrees of the tube if the length of the tube is 1000 mm and the shear modulus is 75 GPa. Thickness of the tube is 10 mm and the torque T = 15 kN-m.
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