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sci.stress-strain-curve-yield Calculator
Calculates yield strength, ultimate tensile strength, and elongation at break from a stress-strain curve, and determines Young's modulus from the elastic slope. 0.2% offset yield strength is the standard engineering definition — mild steel yields at ~250 MPa; high-strength steel at 700–2,000 MPa.
Inputs
Force N
Push or pull (N). F = ma. Net force determines acceleration. Account for all forces including gravity and friction.
Cross Section Mm2
Two-dimensional surface extent (m²). For complex shapes, break into simpler sub-shapes and sum.
Gauge Length Mm
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
Extension Mm
Applied force or weight (N or kN). Divide into dead load (permanent) and live load (variable — people, wind, etc.).
Results
engineering stress (MPa)
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.
engineering strain
Fractional deformation: change in length / original length. Elastic strain is fully recoverable; plastic strain is permanent. Plotted vs. stress on a stress-strain curve.
estimated E modulus (GPa)
The value at the specified point or condition.
stress = F/A₀; strain = ΔL/L₀
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.
steel yield strength
Sample size or count used in the calculation.
true stress
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.