Young’s modulus relates axial stress and axial strain in the linear elastic range.
Difficulty
Intermediate
Read time
5 min
Prerequisites
Basic algebra, consistent units, and the stated model assumptions
Source
OpenStax, College Physics 2e, §5.3 (Paul Peter Urone and Roger Hinrichs)OpenFormulaGraph equation reference; FormuLab adaptation details and license are provided below.
Adapted from OpenFormulaGraph, under CC BY 4.0.
FormuLab adapted wording, notation, applicability conditions and topic placement, and expanded the numerical check into a worked example.
Young’s modulus relates axial stress and axial strain in the linear elastic range. A material with a larger modulus develops more stress for the same elastic strain.
| Symbol | Meaning | Units |
|---|---|---|
| Normal stress | ||
| Young's Modulus | ||
| Axial strain |
Relate axial stress to small axial strain.
Compare linear elastic response of materials.
A material has Young’s modulus 2.00 × 10¹¹ Pa and axial strain 0.001. Find its axial stress.
OpenFormulaGraph equation reference; FormuLab adaptation details and license are provided below.
Adapted from OpenFormulaGraph, under CC BY 4.0.
FormuLab adapted wording, notation, applicability conditions and topic placement, and expanded the numerical check into a worked example.
Assumptions
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