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Stress-Strain Calculator

Solve simple Hooke's law and axial stress-strain relationships with unit normalization.

Stress-Strain inputs

Result section

warningstress-from-strain

Normal stress

100 MPa

Secondary results

Stress: 100 MPa
Engineering strain: 500 microstrain
Young's modulus: 200 GPa
Axial deformation: 0.5 mm

Unit conversion summary

Unit-normalization summary: 1.00000e+8 Pa; 0.0005; 2.00000e+11 Pa

Warnings

Calculations are performed locally in your browser and are not submitted to a third-party calculation API.
Positive normal stress is tension. Negative normal stress is compression. Positive shear follows the displayed stress-element convention.
Linear elasticity fails after yielding, cracking, damage, buckling, or large deformation.

Assumptions

Small-strain, linear-elastic, isotropic behavior.
Engineering stress and strain are used, not true stress and strain.

Calculation steps

Resolve selected modestress-from-strain
Apply linear elasticity1.00000e+8 Pa = 2.00000e+11 Pa x 0.0005
Calculate axial deformation0.0005 m

Hooke's law and engineering strain

sigma = E epsilon; epsilon = delta/L; sigma = F/A

sigma = E epsilon; epsilon = delta / L; sigma = F / A.

sigma = 1.00000e+8 Pa

epsilon = 0.0005

E = 2.00000e+11 Pa

Technical visual

Engineering interpretation

Use this for preliminary axial stress-strain checks inside the linear-elastic range only.

What is the stress-strain calculator?

Use this calculator for small-strain, linear-elastic relationships before moving to material-property conversion or stress checks.

How to use the stress-strain calculator

Select the mode that matches the stress, material, section, or thermal data you already have.
Enter values with units; the calculator normalizes inputs to SI internally.
Review the formulas, normalized values, assumptions, and warnings before transferring the result to another check.
Switch modes based on the unknown quantity and verify that the material remains inside the linear elastic range.

Input explanations

Stress from strain uses sigma = E epsilon.
Strain from stress uses epsilon = sigma / E.
Modulus mode solves E = sigma / epsilon and requires nonzero strain.
Axial deformation uses sigma = F/A, epsilon = sigma/E, and delta = epsilon L.

Notation

Formula notation
Symbol	Meaning	Unit
sigma	Engineering normal stress	Pa
epsilon	Engineering strain	dimensionless
E	Young's modulus	Pa
delta	Axial deformation	m

Worked examples

Steel with E = 200 GPa and strain = 500 microstrain gives stress = 100 MPa.

Stress = 100 MPa and E = 200 GPa gives strain = 500 microstrain.

Force = 10 kN, area = 100 mm^2, and E = 200 GPa gives axial stress = 100 MPa.

Cross-tool workflow

The Stress-Strain Calculator supports stress from strain, strain from stress, modulus from stress-strain data, axial stress from force and area, and axial deformation from force, length, area, and modulus.

Convert stress units Open Material Property Converter

Common mistakes

Using Hooke's law beyond yield, cracking, crushing, damage, or large strain.
Confusing engineering strain with true strain.
Entering area in the wrong units for axial stress.
Treating a simple axial model as a replacement for full structural analysis.

Limitations

Small-strain, isotropic, linear-elastic behavior is assumed.
Poisson effects are documented but not used as a full 3D constitutive model here.
Plasticity, creep, hyperelasticity, viscoelasticity, damage, and nonlinear geometry are not included.

References

Roark's Formulas: Young, Budynas, and Sadegh, Roark's Formulas for Stress and Strain.
Shigley's Mechanical Engineering Design: Budynas and Nisbett, Shigley's Mechanical Engineering Design, McGraw-Hill.
Mechanics of Materials: Hibbeler, Mechanics of Materials, Pearson.
Theory of Elasticity: Timoshenko and Goodier, Theory of Elasticity, McGraw-Hill.

What does this stress-strain calculator solve?

It solves simple linear-elastic Hooke's law and axial deformation relationships.

What is engineering strain?

Engineering strain is change in length divided by original length.

Can it calculate Young's modulus?

Yes, when stress and nonzero strain are entered.

Does it model plasticity?

No. It is limited to linear elastic behavior.

Why include material presets?

Presets provide convenient starting values for modulus and strength, but actual material data must be verified.

Does this calculator prove that a part is safe?

No. It reports an educational preliminary stress or factor comparison. Real design decisions need applicable standards, validated models, material data, and engineering review.

Can these results replace commercial FEA software?

No. ScholarTool provides transparent hand-calculation support and postprocessing checks, not a replacement for validated FEA solvers.

Professional support from ScholarEase Consultancy Services LLP

Professional FEA, simulation setup, solid-mechanics calculations, technical documentation, and research support are available through the connected services website. These calculators remain free to use without purchasing services.

Visit ScholarEase

Engineering disclaimer

This tool is intended for educational, estimation, and preliminary solid-mechanics support. Always verify critical engineering calculations with applicable standards, validated software, material data, and qualified professional judgment.

Need Professional Support?

ScholarTool is powered by ScholarEase Consultancy Services LLP. Professional engineering, simulation, research, and technical documentation support is available through the connected services website.

Visit ScholarEase

Last reviewed: 2026-06-21

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Stress-Strain inputs

Result section

warningstress-from-strain

Normal stress

100 MPa

Secondary results

Stress: 100 MPa
Engineering strain: 500 microstrain
Young's modulus: 200 GPa
Axial deformation: 0.5 mm

Unit conversion summary

Unit-normalization summary: 1.00000e+8 Pa; 0.0005; 2.00000e+11 Pa

Warnings

Calculations are performed locally in your browser and are not submitted to a third-party calculation API.
Positive normal stress is tension. Negative normal stress is compression. Positive shear follows the displayed stress-element convention.
Linear elasticity fails after yielding, cracking, damage, buckling, or large deformation.

Assumptions

Small-strain, linear-elastic, isotropic behavior.
Engineering stress and strain are used, not true stress and strain.

Calculation steps

Resolve selected modestress-from-strain
Apply linear elasticity1.00000e+8 Pa = 2.00000e+11 Pa x 0.0005
Calculate axial deformation0.0005 m

Hooke's law and engineering strain

sigma = E epsilon; epsilon = delta/L; sigma = F/A

sigma = E epsilon; epsilon = delta / L; sigma = F / A.

sigma = 1.00000e+8 Pa

epsilon = 0.0005

E = 2.00000e+11 Pa

How to use the stress-strain calculator

Select the mode that matches the stress, material, section, or thermal data you already have.
Enter values with units; the calculator normalizes inputs to SI internally.
Review the formulas, normalized values, assumptions, and warnings before transferring the result to another check.
Switch modes based on the unknown quantity and verify that the material remains inside the linear elastic range.

Symbol

Meaning

Unit

sigma

Engineering normal stress

epsilon

Engineering strain

dimensionless

Young's modulus

delta

Axial deformation

References

Roark's Formulas: Young, Budynas, and Sadegh, Roark's Formulas for Stress and Strain.

Shigley's Mechanical Engineering Design: Budynas and Nisbett, Shigley's Mechanical Engineering Design, McGraw-Hill.

Mechanics of Materials: Hibbeler, Mechanics of Materials, Pearson.

Theory of Elasticity: Timoshenko and Goodier, Theory of Elasticity, McGraw-Hill.

Stress-Strain inputs

Material properties

Stress-strain relationship

Result section

Secondary results

Unit conversion summary

Warnings

Assumptions

Calculation steps

Hooke's law and engineering strain

Technical visual

Engineering interpretation

What is the stress-strain calculator?

How to use the stress-strain calculator

Input explanations

Notation

Worked examples

Cross-tool workflow

Common mistakes

Limitations

References

Related tools

Professional support from ScholarEase Consultancy Services LLP

Print summary

Engineering disclaimer

Need Professional Support?

Stress-Strain inputs

Material properties

Stress-strain relationship

Result section

Secondary results

Unit conversion summary

Warnings

Assumptions

Calculation steps

Hooke's law and engineering strain

Technical visual

Engineering interpretation

What is the stress-strain calculator?

How to use the stress-strain calculator

Input explanations

Notation

Worked examples

Cross-tool workflow

Common mistakes

Limitations

References

Related tools

Professional support from ScholarEase Consultancy Services LLP

Print summary

Engineering disclaimer

Need Professional Support?