A solid steel bar of diameter d, = 26.0 mm is enclosed by a steel tube of outer diameter d diameter d, to a rigid plate at end B. The composite bar, which has a length L = 550 mm, is twisted by a torque T= 400 Nm acting on the end plate. The shear modulus of the steel is G = 80 GPa. = 32.0 mm (see figure). Both bar and tube are held rigidly by a support at end A and joined securely
A solid steel bar of diameter d, = 26.0 mm is enclosed by a steel tube of outer diameter d diameter d, to a rigid plate at end B. The composite bar, which has a length L = 550 mm, is twisted by a torque T= 400 Nm acting on the end plate. The shear modulus of the steel is G = 80 GPa. = 32.0 mm (see figure). Both bar and tube are held rigidly by a support at end A and joined securely
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 3.8.13P: A solid steel bar of diameter d1= 1.50 in. is enclosed by a steel tube of outer diameter d3= 2.25...
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![A solid steel bar of diameter d, = 26.0 mm is enclosed by a steel tube of outer diameter d, = 37.5 mm and inner
diameter d,
to a rigid plate at end B. The composite bar, which has a length L
acting on the end plate. The shear modulus of the steel is G = 80 GPa.
%3D
%3!
32.0 mm (see figure). Both bar and tube are held rigidly by a support at end A and joined securely
550 mm, is twisted by a torque T = 400 Nm
%3!
Tube
Bar
End
plate
Calculate:
1.1 Determine the maximum shear stress in the bar.
1.2 Determine the maximum shear stress in the tube.
1.3. Determine the angle of rotation of the end of the plate in degrees.
1.4. Determine the torsional stiffness of the composite bar.
Kindly show all working.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F977d2c50-116b-4880-9895-7e2debbbb926%2F83e17e9c-a8b3-48a8-9c85-9d7bc4eb9a2c%2F11nf7k_processed.png&w=3840&q=75)
Transcribed Image Text:A solid steel bar of diameter d, = 26.0 mm is enclosed by a steel tube of outer diameter d, = 37.5 mm and inner
diameter d,
to a rigid plate at end B. The composite bar, which has a length L
acting on the end plate. The shear modulus of the steel is G = 80 GPa.
%3D
%3!
32.0 mm (see figure). Both bar and tube are held rigidly by a support at end A and joined securely
550 mm, is twisted by a torque T = 400 Nm
%3!
Tube
Bar
End
plate
Calculate:
1.1 Determine the maximum shear stress in the bar.
1.2 Determine the maximum shear stress in the tube.
1.3. Determine the angle of rotation of the end of the plate in degrees.
1.4. Determine the torsional stiffness of the composite bar.
Kindly show all working.
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