Composite Sha...

Composite Shafts in Torsion

Trending Questions

Q. A shaft is subjected to a bending moment M and a torque T. The equivalent bending moment

M_{e q}

on the shaft is given by

$\frac{M + \sqrt{M^{2} + T^{2}}}{4}$
$\frac{M - \sqrt{M^{2} + T^{2}}}{4}$
$\frac{M - \sqrt{M^{2} + T^{2}}}{2}$
$\frac{M + \sqrt{M^{2} + T^{2}}}{2}$

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Q. A shaft of diameter 'd' is subjected to bending moment M and twisting moment T. The developed principal stress will be

$\pm \frac{16}{π d^{3}} \sqrt{M^{2} + T^{2}}$
$\frac{16}{π d^{3}} (M \pm \sqrt{M^{2} + T^{2}})$
$\frac{16}{π d^{3}} (T \pm \sqrt{M^{2} + T^{2}})$
$\frac{16}{π d^{3}} \sqrt{M^{2} + T^{2}} \pm M$

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Q. A solid shaft of diameter d and length L is fixed at both the ends. A torque,

T_{0}

is applied at a distance L/4 from the left end as shown in the figure given below.

The maximum shear stress in the shaft is

$\frac{16 T_{0}}{π d^{3}}$
$\frac{12 T_{0}}{π d^{3}}$
$\frac{8 T_{0}}{π d^{3}}$
$\frac{4 T_{0}}{π d^{3}}$

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Q. A circular shaft shown in the figure is subjected to torsion T at two points A & B. The torsional rigidity of portions CA & BD is

G J_{1}

and that of portion AB is

G J_{2}

. The rotations of shaft at points A and B are

θ_{1}

θ_{2}

. The rotation

θ_{1}

$\frac{T L}{G J_{1} + G J_{2}}$
$\frac{T L}{G J_{1}}$
$\frac{T L}{G J_{2}}$
$\frac{T L}{G J_{1} - G J_{2}}$

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Q. Two shafts AB and BC, of equal length and diameters d and 2d, are made of the same material. They are joined at B through a shaft coupling, while the ends A and C are built-in(cantilevered). A twisting moment T is applied to the coupling. If

T_{A}

and

T_{C}

represent the twisting moments at the ends A and C, respectively, then

$T_{C} = T_{A}$
$T_{C} = 8 T_{A}$
$T_{C} = 16 T_{A}$
$T_{A} = 16 T_{C}$

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Q. The compound shaft shown is built-in at the two ends. It is subjected to a twisting moment T at the middle. What is the ratio of the reaction torques

T_{1}

and

T_{2}

at the ends?

$\frac{1}{16}$
$\frac{1}{8}$
$\frac{1}{4}$
$\frac{1}{2}$

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Q. A bar of circular cross section is clamped at ends P and Q as shown in the figure. A torsional moment T = 150 Nm is applied at a distance of 100 mm from end P. The torsional reactions

T_{P}

T_{Q}

in Nm at the ends P and Q respectively are

(50, 100)
(75, 75)
(100, 50)
(120, 30)

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