The cross-section of a bar is subjected to a uniaxial tensile stress - The tangential stress on a plane inclined at - to the cross-section of the bar would

Normal stress = ρ cos^2θ Tangential stess = ρ sinθ cosθ=ρsin2θ2 ...

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Strength of Materials

Stresses in Two and Three Dimensional system

The cross-sec...

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The cross-section of a bar is subjected to a uniaxial tensile stress ' $ρ$ '. The tangential stress on a plane inclined at $θ$ to the cross-section of the bar would

\frac{ρ s i n 2 θ}{2}

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ρ s i n 2 θ

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\frac{ρ c o s 2 θ}{2}

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ρ c o s 2 θ

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Solution

The correct option is A $\frac{ρ s i n 2 θ}{2}$
$N o r m a l s t r e s s = ρ c o s^{2} θ$
$T a n g e n t i a l s t e s s = ρ s i n θ c o s θ = ρ \frac{s i n 2 θ}{2}$

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The cross-section of a bar is subjected to a uniaxial tensile stress 'ρ'. The tangential stress on a plane inclined at θ to the cross-section of the bar would

The correct option is A ρsin2θ2Normal stress=ρcos2θ Tangentialstess=ρsinθcosθ=ρsin2θ2

The cross-section of a bar is subjected to a uniaxial tensile stress ' $ρ$ '. The tangential stress on a plane inclined at $θ$ to the cross-section of the bar would

The correct option is A $\frac{ρ s i n 2 θ}{2}$
$N o r m a l s t r e s s = ρ c o s^{2} θ$
$T a n g e n t i a l s t e s s = ρ s i n θ c o s θ = ρ \frac{s i n 2 θ}{2}$