Engineering & mechanics

Elastic axial extension

Calculate axial stress, strain and length change of a uniform elastic member.

Elastic axial extension
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A clear answer. Here’s how.

Stress=F/A, strain=stress/E, and extension=strain×original length. Positive force denotes tension and negative force compression. Assumes uniform uniaxial linear elasticity, constant area and small strain. Reports millimetres of signed length change. Buckling, temperature effects and non-elastic behaviour are not included.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Signed axial force (N)
10000
Original length (m)
2
Cross-section (mm²)
100
Young modulus (GPa)
200

Example result

Axial stress (MPa)
100
Axial strain
0.0005
Extension (mm)
1