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Young Linear Elasticity: Normal stress magnitude Calculator

Young Linear Elasticity: Calculate normal stress magnitude from Young modulus, Strain magnitude. Check the formula, input units and worked result on this page.

Enter your values

Pa
Formula symbol: Eᵧ. Required unit: Pa. Must be greater than zero.
Formula symbol: εₛ. Enter a numeric value. Must be greater than zero.

Use a decimal point, without thousands separators.

This model uses positive magnitudes. Uniaxial linear elastic normal stress and strain. Plastic deformation, shear modulus and safe load limits are not calculated.
Example result
Normal stress magnitude
1,125,000 Pa

The initial result uses the example values. Enter your own values and calculate again.

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How it works

Use young linear elasticity with the units stated beside the fields. This form solves for normal stress magnitude; enter the known quantities in Young modulus, Strain magnitude.

Inputs and units
Young Linear Elasticity: Normal stress magnitude Calculator · Inputs and units
InputExample valueWhat to enter
Young modulus750,000,000 PaFormula symbol: Eᵧ. Required unit: Pa. Must be greater than zero.
Strain magnitude0.0015Formula symbol: εₛ. Enter a numeric value. Must be greater than zero.
σ = (1 × Eᵧ × εₛ)

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Young modulus
750,000,000 Pa
Strain magnitude
0.0015

Complete example results

Normal stress magnitude
1,125,000 Pa

Reading the result

The result solves for normal stress magnitude from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the normal stress magnitude result?

This model uses positive magnitudes. Uniaxial linear elastic normal stress and strain. Plastic deformation, shear modulus and safe load limits are not calculated.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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