Principal Stress Calculator
Free calculate maximum and minimum principal stresses from normal and shear stress components using mohr's circle.
Input Parameters
Results
Enter stress components to calculate
Principal Stress Formulas
Maximum Principal Stress (σ₁)
σ₁ = (σ_x + σ_y)/2 + √[((σ_x - σ_y)/2)² + τ_xy²]
Minimum Principal Stress (σ₂)
σ₂ = (σ_x + σ_y)/2 - √[((σ_x - σ_y)/2)² + τ_xy²]
Maximum Shear Stress
τ_max = (σ₁ - σ₂) / 2
Principal Angle
θ_p = ½ × arctan(2τ_xy / (σ_x - σ_y))