MechanicsLab Level
Stress-Strain Analyzer
Upload or paste tensile test coordinates to fit Young's Modulus, solve offset yield strength, and integrate toughness.
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CSV Lab Data Input
Drop stress-strain .csv files here
Expected columns: strain, stress (Max 3MB)
E.g. 0.002 strain
Usually 0.002 (0.2%)
No tensile data loaded
Drag a CSV file from a tensile test, paste coordinates, or load the steel example data to extract Young's Modulus and yield points.
Formula: Yield & Young's Modulus
E = Σ (ε_i · σ_i) / Σ (ε_i²)
Where:
E=Elastic modulus (Young's modulus) (GPa)
ε=Engineering strain (displacement ratio) (mm/mm)
σ=Engineering stress (force / area) (MPa)
* Young's Modulus is fitted using linear least squares regression through the origin (0,0) up to the specified Elastic Fit Limit. The yield strength offset line starts at strain = 0.002 with the same slope E.
Scientific Assumptions & Methodology
- Stress values are engineering stress (force divided by initial area).
- Strain values are engineering strain (displacement divided by initial length).
- Modulus calculations enforce a zero-intercept regression (forced through origin).
Limitations & Educational Warnings
- Noisy, non-monotonic data or files containing multiple unloading loops will yield inaccurate regressions.
- 0.2% Yield detection requires the experimental curve to cross the offset line; extremely brittle materials might not yield before fracture.