If normal stresses due to longit udinal andtransverse loads on a bar are \sigma_1 and \sigma_2 respectively, the normal component of the stress on an inclined plane θ° to the longitudinal load is

Correct Answer is : σ1sin2θ+σ2cos2θ

({\sigma_ 1 \sin\theta} )\times ({\sigma_2\cos \theta})

{\sigma_ 1 \sin^2\theta} +{\sigma_2\cos^2 \theta}

({\sigma_ 1 - \sigma_2 } ) ({\sin2\theta})\/2

({\sigma_ 1 +\sigma_2 } ) ({\sin2\theta})\/2

SSC JE Civil Engineering 2018 Set 2 Solved Paper

Question : 191 of 200

Marks: +1, -0

If normal stresses due to longit udinal andtransverse loads on a bar are

σ_1

and

σ_2

respectively, the normal component of the stress on an inclined plane θ° to the longitudinal load is

Solution:

Normal component of the stress on an inclined plane θ° to the longitudinal load is =

{σ_ 1 \sin^2θ} +{σ_2\cos^2 θ}

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