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sci.youngs-modulus-stress Calculator
Calculates Young's modulus of elasticity E = σ/ε from tensile test stress and strain data in the linear elastic region. Steel E = 200 GPa; aluminium E = 70 GPa; bone E ≈ 20 GPa — a stiffer material deflects less for the same applied stress.
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.
Original Length Mm
Linear measurement. Ensure consistent units: 1 m = 1,000 mm = 3.281 ft.
Extension Mm
Reference formula or conversion factor shown for context.
Results
Young modulus (GPa)
Sample size or count used in the calculation.
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.
strain (dimensionless)
Fractional deformation: change in length / original length. Elastic strain is fully recoverable; plastic strain is permanent. Plotted vs. stress on a stress-strain curve.
E = stress / strain
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.
steel E
Reference formula or conversion factor shown for context.
safety factor
A dimensionless multiplier applied in the calculation.