SSC JE Civil Engineering 2018 Set 3 Solved Paper

Question : 196 of 200

Marks: +1, -0

A shaft is subjected to a bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft is

$M /T$
$T /M$
${2M}/ T$
${2T}/ M$

Validate

Solution:

M/I=σ/y=E/R

σ={My}/I

σ={M.D/2}/{π/64D^4}

T/J=τ/R={GQ}/\l

{T.R}/{π/32}=τ.

σ/τ= {{M.D/2}/{π/ 4D^2}}/{{T.R}/{ 3/2D^4}}={2M}/T

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