SSC JE Civil Engineering 2017 Set 1 Solved Paper

Question : 131 of 200

Marks: +1, -0

A torsion member is fabricated from two concentric thin tubes. At the ends, the tubes are welded to rigid discs so that both the tubes are twisted as a unit. The radius of the outer tube is 2r and that of the inner tube is r. If the shear stresses developed in the outer tube is

‘ τ ’

, then the shear stress in the inner tube will be......... .

$τ$
$0.25 τ$
$0.75 τ$
$0.5 τ$

Validate

Solution:

τ/r=T/J={Gθ}/L

⇒τ={2T}/{πr^3}

τ_2/τ_1=r_1/r_2

⇒τ_2=r/{2r}τ=τ/2

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