IntermediateTopic 44 of 106Engineering Mechanics
Strain
Relative deformation, ΔL/L; dimensionless.
In depth
Normal strain ε=ΔL/L and shear strain γ equals the change of a right angle in radians. Strain is dimensionless, often quoted in microstrain. Strain gauges measure it via change in electrical resistance.
Key points
- Engineering vs true strain
- Elastic strains are small
- Volumetric strain sums normal strains
ExampleA 2 m bar that stretches 1 mm has ε=500 µε.
What is Strain?
Relative deformation, ΔL/L; dimensionless.
Why is it important to understand strain?
Strain measures how much a material deforms, so it links the load to the change in shape and is used with strain gauges.
Why is strain dimensionless?
It is a ratio of change in length to original length, so the units cancel. Strains are often quoted in microstrain for small values.
What is the difference between engineering and true strain?
Engineering strain uses the original length, while true strain uses the instantaneous length. They differ at large deformations.
How is Strain used in practice?
Typical applications include calculating the elongation of a steel rod under load, checking the change in length of a pipe from thermal expansion and interpreting readings from a strain gauge on a bracket.
What should I learn before Strain?
Study "Stress" first (topic 43 of 106 in Engineering Mechanics). It covers the groundwork this topic builds on.
What are the key points of Strain?
Engineering vs true strain. Elastic strains are small. Volumetric strain sums normal strains.
Can you give an example of Strain?
A 2 m bar that stretches 1 mm has ε=500 µε.
What comes after Strain?
The next topic is "Stress-strain curve", which builds directly on this one.
How difficult is Strain?
It is classed as Intermediate in Engineering Mechanics (topic 44 of 106). It is an intermediate topic. Work through the beginner topics in Engineering Mechanics first.