A solid steel bar of a diameter 1.2 in. is enclosed by a steel tube of outer diameter 1.8 in. and inner diameter 1.4 in. (figure 2). Both bar and tube are held rigidly at end A and joined securely to a rigid plate at B. The composite bar, which is 20 in. long, is twisted by a torque T=4400 lb-in acting on the end plate. It is assumed that the Young's modulus of the steel is E=29*10^6 osi, and Poisson's ratio is v=.25. a) what fraction of the torque is carried by he steel bar? b) determine the max shear stresses in the bar and tube.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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A
Tube
Bara
-20 in.
1.4 in.
-1.8 in.
1.2 in.
B
T= 4400 lb-in.
End
plate
Figure 2
A solid steel bar of a diameter 1.2 in. is enclosed by a steel tube of outer
diameter 1.8 in. and inner diameter 1.4 in. (figure 2). Both bar and tube are
held rigidly at end A and joined securely to a rigid plate at B. The composite
bar, which is 20 in. long, is twisted by a torque T-4400 lb-in acting on the
end plate. It is assumed that the Young's modulus of the steel is E=29*10^6
psi, and Poisson's ratio is v=.25. a) what fraction of the torque is carried by
the steel bar? b) determine the max shear stresses in the bar and tube.
Transcribed Image Text:A Tube Bara -20 in. 1.4 in. -1.8 in. 1.2 in. B T= 4400 lb-in. End plate Figure 2 A solid steel bar of a diameter 1.2 in. is enclosed by a steel tube of outer diameter 1.8 in. and inner diameter 1.4 in. (figure 2). Both bar and tube are held rigidly at end A and joined securely to a rigid plate at B. The composite bar, which is 20 in. long, is twisted by a torque T-4400 lb-in acting on the end plate. It is assumed that the Young's modulus of the steel is E=29*10^6 psi, and Poisson's ratio is v=.25. a) what fraction of the torque is carried by the steel bar? b) determine the max shear stresses in the bar and tube.
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