Hooke's Law (plane stress y component)

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on

Aug 21, 2020, 1:40:07 PM

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on

Dec 7, 2013, 3:36:44 AM

$epsilon_y = ( sigma_y - nu[ "latS" , "lonS" ] * sigma_x ) / "E"$

$(sigma_x)"Stress_x"$

$(sigma_y)"Stress_y"$

$(E)"Modulus of Elasticity"$

$(latS)"Lateral Strain"$

$(lonS)"Longitudinal Strain"$

This equation computes the y component of the strain, $epsilon_y$ in the three dimensional plane stress ( $sigma_z$ = 0) case of Hooke's Law.

The reciprocal term of the equation is 1/E where E is the modulus of elasticity (Young's Modulus) .

$nu$ is Poisson's ratio = - (lateral strain / longitudinal strain)

$sigma_x$ , $sigma_y$ are the x and y components respectively of the plane stress

This equation, Hooke's Law (plane stress y component), references 1 page

• Poisson's Ratio by MichaelBartmess

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