Torsion theory

Q.  In the relation ( T/J = Gθ/L = τ/ R), the letter G denotes modulus of  ______
- Published on 21 Sep 15

a. elasticity
b. plasticity
c. rigidity
d. resilience

ANSWER: rigidity
 

    Discussion

  • Sravanthi   -Posted on 25 Nov 15
    The relation (T/J = Gθ/L = τ/ R) is called as torsion formula.

    Here,

    T is the twisting moment
    J is the polar moment of inertia
    G is the modulus of rigidity
    θ is the angle of twist (radian)
    τ is the shear stress
    R is the shaft radius

    Different assumptions made in torsion theory are as follows:

    1) Shaft must be straight and should have uniform cross-section.

    2) The shear stress induced in shaft should not exceed the elastic limit.

    3) Twist along the shaft is uniform.

    4) Twisting has no effect on circularity of shaft.

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