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Stress & Strain Calculator
Calculate stress, strain, and deformation for various loading conditions
Loading Condition
Parameters
Positive = tension, Negative = compression
Stress Types
Normal Stress
σ = F/A
Perpendicular to surface
Shear Stress
τ = V/A
Parallel to surface
Bending Stress
σ = My/I
Due to bending moment
Material Properties
Steel
E = 200 GPa, G = 80 GPa
α = 12 μm/m·°C
Aluminum
E = 69 GPa, G = 26 GPa
α = 23 μm/m·°C
Copper
E = 120 GPa, G = 45 GPa
α = 17 μm/m·°C
Key Relations
Hooke's Law: σ = Eε
Poisson's Ratio: ν = -ε_lateral/ε_axial
Shear Modulus: G = E/[2(1+ν)]
Thermal Strain: ε_T = αΔT
Von Mises: Equivalent stress for yielding
Applications
Structural Design
Calculate stresses in beams, columns, and trusses to ensure they don't exceed allowable limits.
Machine Design
Analyze shafts under torsion, gears, bolts, and other mechanical components for safe operation.
Failure Analysis
Use Von Mises criteria and principal stresses to predict material yielding or fracture.