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Question

A circular solid shaft of span L = 5 m is fixed at one and free at the other end. A twisting moment T = 200 kN-m is applied

at the free end. The torsional rigidity GJ is 50000 kN.m/rad. Following statements are made for this shaft.

I. The maximum rotation is 0.02 rad. 

II. The torsional strain energy is 2kN-m 

With reference to the above statements, which of the following is correct? 
A.
Both statements are true
B.
Statement I is true but II is false
C.
Statement II is true but I is false
D.
Both the statements are false
Answer ( Option A)

Both statements are true

Solution

Given:
· Length of shaft, L = 5 m
· Applied torque, T = 200 kN.m
· Torsional rigidity, GJ = 50000 kN.m2/rad
  1. Angle of Twist
Using the torsion equation,
2.     Strain Energy Stored
The strain energy stored in a shaft is
Since the torque is constant throughout the length,
U = 2 kN.m
 
 

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