Young's Modulus Calculator
Compute Young's modulus (elastic modulus) from measured stress and strain values.
Young's Modulus
200,000 MPa
Young's Modulus vs Applied Stress
Formula
## Young's Modulus (Elastic Modulus) Young's modulus quantifies material stiffness in the linear elastic region. ### Formula **E = sigma / epsilon** where sigma is the applied stress and epsilon is the resulting strain. E is measured from the initial linear portion of a tensile test stress-strain curve. Typical values: steel 200 GPa, aluminium 70 GPa, concrete 25-35 GPa, timber 8-14 GPa.
Exemplo Resolvido
A tensile test specimen shows 200 MPa stress at 0.001 strain.
- 01E = 200 / 0.001 = 200,000 MPa
- 02E = 200,000 / 1000 = 200 GPa
- 03This matches structural steel, confirming the specimen is steel.
Perguntas Frequentes
What is a typical Young's modulus for steel?
Structural steel has E approximately equal to 200 GPa (29,000 ksi) regardless of grade. Higher-strength steels are stiffer in strength but have the same elastic modulus.
How is strain measured in practice?
Strain is measured using strain gauges (electrical resistance), extensometers (mechanical clip-on devices), or digital image correlation (DIC) for full-field measurements.
Does temperature affect Young's modulus?
Yes. Most metals soften at elevated temperatures. Steel's modulus drops to about 60% of its room-temperature value at 600 degrees C, which is critical in fire engineering.
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