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Strength of Materials

Torsional Stresses

Which of the ...

Question

Which of the following terms represents the torque that produces a twist of one radian in a shaft of unit length?

A

Torisonal stress

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B

Torsional rigidity

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C

Flexural rigidity

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D

Moment of resistance

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Solution

The correct option is B Torsional rigidity
$T = \frac{G J}{L} θ$

$G \to T o r s i o n a l r i g i d i t y$

$\frac{G J}{L} \to T o r s i o n a l s t i f f n e s s$

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Q. Which of the following terms represents the torque corresponding to a twist of one radian in a shaft over its unit length?

Q. Assertion :A hollow shaft is found to be stronger than a solid shaft made of same material. Reason: The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.

Q. Assertion :A hollow shaft is found to be stronger than a solid shaft made of same size and material. Reason: The torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same size and material.

Q. The two circular shafts made of same material, one solid(S) and one hollow(H), have the same length and polar moments of inertia. Both are subjected to same torque. Here

θ_{S}

is the twist and

τ_{S}

is the maximum shear stress in the solid shaft, whereas

θ_{H}

is the twist and

τ_{H}

is the maximum shear stress in the hollow shaft. Which one of the following is TRUE?

Q. A solid steel shaft of diameter 50 mm is to be designed using an allowable shear stress

τ_{a l l o w} = 50 M P a

and allowable angle of twist per unit length

θ = 1^{o}

per meter. The maximum permissible torque (in Nm) T that may be applied to the shaft is ? (assuming G = 100GPa).

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