Young’s Modulus Calculator
Calculate elastic modulus from normal stress and strain.
LIVE 2D EXPLANATION
E = σ / εThe geometry, arrow and label respond to the current calculation state.
PRIMARY RESULT
Live calculation ready for review
This is an educational or preliminary result. Apply relevant standards and engineering judgement before use.
ENGINEERING PRINCIPLE
Within the linear elastic range, normal stress is proportional to strain.
Calculate elastic modulus from normal stress and strain.
FORMULA & VARIABLES
E = σ / ε
- E = Young’s modulus (Pa)
- σ = normal stress (Pa)
- ε = normal strain (dimensionless)
CALCULATION STEPS
How this result is assembled
- Convert the entered values to the SI basis required by the formula.
- Apply E = σ / ε using the current inputs.
- Present the result as 200 GPa and review the stated assumptions.
FORMULA VERIFICATION
Units, scope and reference
Reference: NIST SP 811 for unit relationships; standard classical mechanics and strength-of-materials derivations for the stated scalar relation.
Internal basis: All inputs are converted to the calculator’s SI base before the formula is evaluated.
Valid conditions: Positive finite scalar input values in the current calculator model.
Limitations: The entered data is in the linear elastic range. The material is treated as homogeneous in the loading direction.
ASSUMPTIONS
Use this result in context
- The entered data is in the linear elastic range.
- The material is treated as homogeneous in the loading direction.
Results must be verified by a qualified engineer and checked against applicable engineering standards, material properties, loading conditions and design requirements.
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OPTIONAL ENGINEERING HELP
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