Principal Stress Calculator

σ₁,₂ = (σ_x + σ_y)/2 ± √((σ_x - σ_y)²/4 + τ_xy²)

τ_max = √((σ_x - σ_y)²/4 + τ_xy²)

θ_p = ½ arctan(2τ_xy/(σ_x - σ_y))

σ_avg = (σ_x + σ_y)/2

σ₁,₂ = principal stresses, τ_max = maximum shear stress, θ_p = principal angle, σ_avg = average stress

Calculation Method:

Normal Stress σ_x (MPa):

Normal Stress σ_y (MPa):

Shear Stress τ_xy (MPa):

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