Principal Von-Mises Stress Equations and Calculator

	Principal stresses 2 dimensional plane stress Von-Mises Stress calculation. The normal stresses are σ_xand σ_y and the shear stress is τ_xy .

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Principal Stresses
Input Data
τ_xy =	psi
σ_x =	psi
σ_y =	psi

$\sigma_{1},\sigma_{2}= \frac{\sigma_{x} + \sigma_{y}}{2} \pm \sqrt{\left (\frac{\sigma_{x} - \sigma_{y}}{2}\right)^2 + \tau_{xy}^2}\,\!$

σ₁ =	psi

σ₂ =	psi

$\tau_{max},\tau_{min}= \pm \sqrt{\left (\frac{\sigma_{x} - \sigma_{y}}{2}\right)^2 + \tau_{xy}^2}\,\!$

σ₂ =	psi
Von Mises Stress Criteria

$\sigma_v = \sqrt{\sigma_1^2- \sigma_1\sigma_2+ \sigma_2^2 + 3\sigma_{12}^2}\!$
σv =	psi