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Strength of Materials

Angle of Twist

Two shafts ha...

Question

Two shafts having same length and material are joined in series and subjected to a torque of 10 kN-m. If the ratio of their diameters is 2 : 1, then the ratio of their angles of twist is

16 : 1

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2 : 1

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1 : 2

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1 : 16

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Solution

The correct option is D 1 : 16
$θ = \frac{T L}{G J}$

$∴ \frac{θ_{1}}{θ_{2}} = \frac{J_{2}}{J_{1}} = {(\frac{d_{2}}{d_{1}})}^{4} = \frac{1}{16}$

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Two shafts having same length and material are joined in series and subjected to a torque of 10 kN-m. If the ratio of their diameters is 2 : 1, then the ratio of their angles of twist is

The correct option is D 1 : 16θ=TLGJ ∴ θ1θ2=J2J1=(d2d1)4=116

The correct option is D 1 : 16
$θ = \frac{T L}{G J}$

$∴ \frac{θ_{1}}{θ_{2}} = \frac{J_{2}}{J_{1}} = {(\frac{d_{2}}{d_{1}})}^{4} = \frac{1}{16}$