SSC JE Mechanical Engineering 2018 Set 1 Paper

Question : 128 of 200

Marks: +1, -0

Calculate the total angle of twist for a stepped shaft which is subjected to the torque (T) as shown in the figure below.

Solution:

T_1 = T_2 = T

θ = θ_1 + θ_2

shaft in series

={T_1l_1}/{Gj_1}+{T_2l_2}/{Gj_2}

= {{T×2l}/{G×[{π(2d)}^4/32]}+{T×l}/{G×[{πd^4}/32]

={2T l}/{Gπ({16d^4}/32)}+{Tl}/{{Gπd^4}/32}

={4Tl}/{Gπd^4}+{32Tl}/{Gπd^4}

={36TI}/{Gπd^4}

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