A solid steel bar of diameter d,=25.0 mm is enclosed by a steel tube of outer diameter d 37.5 mm and inner diameter d,=30.0 mm (see figure). Both bar and tube arc held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar, which has a length L= 550 mm, is twisted by a torque T= 400 N •m acting on the end plate. a. Determine the maximum shear stresses T,and Tin the bar and tube, respectively. Determine the angle of rotation 0(in degrees) of the end plate, assuming that the shear modulus of the steel is G = 80 GPa. Determine the torsional stiffness k,of the composite bar. Tube Bar `End plate PROBLEMS 3.8-12 and 3.8-13

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A solid steel bar of diameter d1= 25.0 mm is enclosed by a steel tube of outer diameter d3= 37.5 mm and inner diameter d2= 30.0 mm (see figure). Both bar and tube arc held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar, which has a length L = 550 mm, is twisted by a torque T = 400 N ·m acting on the end plate.

A solid steel bar of diameter d,=25.0 mm is enclosed by a steel tube of
outer diameter d 37.5 mm and inner diameter d,=30.0 mm (see
figure). Both bar and tube arc held rigidly by a support at end A and
joined securely to a rigid plate at end B. The composite bar, which has a
length L= 550 mm, is twisted by a torque T= 400 N •m acting on the end
plate.
a. Determine the maximum shear stresses T,and Tin the bar and
tube, respectively.
Determine the angle of rotation 0(in degrees) of the end plate,
assuming that the shear modulus of the steel is G = 80 GPa.
Determine the torsional stiffness k,of the composite bar.
Tube
Bar
`End
plate
PROBLEMS 3.8-12 and 3.8-13
Transcribed Image Text:A solid steel bar of diameter d,=25.0 mm is enclosed by a steel tube of outer diameter d 37.5 mm and inner diameter d,=30.0 mm (see figure). Both bar and tube arc held rigidly by a support at end A and joined securely to a rigid plate at end B. The composite bar, which has a length L= 550 mm, is twisted by a torque T= 400 N •m acting on the end plate. a. Determine the maximum shear stresses T,and Tin the bar and tube, respectively. Determine the angle of rotation 0(in degrees) of the end plate, assuming that the shear modulus of the steel is G = 80 GPa. Determine the torsional stiffness k,of the composite bar. Tube Bar `End plate PROBLEMS 3.8-12 and 3.8-13
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