IntermediateTopic 47 of 106Engineering Mechanics

Young's modulus

The stiffness of a material measured by the slope of the elastic stress-strain line.

In depth

E measures stiffness: the slope of the linear stress-strain curve. Steel ≈ 200 GPa, aluminium ≈ 70 GPa, concrete ≈ 30 GPa, rubber a few MPa. Stiffness differs from strength.

Key points

  • Material property, geometry independent
  • High E gives small deflection
  • E fixed by atomic bonding largely
Example

An aluminium beam deflects about three times as much as an identical steel beam.

Why it matters

Young's modulus measures stiffness, which decides how much a part deflects under load and how it vibrates.

Where this is used

  • Choosing a material to limit deflection of a floor beam.
  • Comparing steel, aluminium and carbon fibre for a lightweight frame.
  • Estimating the stretch of a long steel cable under its own weight.

Frequently asked questions

What is Young's modulus?

The stiffness of a material measured by the slope of the elastic stress-strain line.

Why is it important to understand young's modulus?

Young's modulus measures stiffness, which decides how much a part deflects under load and how it vibrates.

Why is steel stiffer than rubber?

Its atomic bonds resist stretching much more, so a given stress produces a much smaller strain, giving a far higher modulus.

Does a stronger material always have a higher modulus?

No. Strength and stiffness are separate properties. Some high-strength materials have a modest modulus, and some stiff materials yield early.

How is Young's modulus used in practice?

Typical applications include choosing a material to limit deflection of a floor beam, comparing steel, aluminium and carbon fibre for a lightweight frame and estimating the stretch of a long steel cable under its own weight.

What should I learn before Young's modulus?

Study "Hooke's law" first (topic 46 of 106 in Engineering Mechanics). It covers the groundwork this topic builds on.

What are the key points of Young's modulus?

Material property, geometry independent. High E gives small deflection. E fixed by atomic bonding largely.

Can you give an example of Young's modulus?

An aluminium beam deflects about three times as much as an identical steel beam.

What comes after Young's modulus?

The next topic is "Poisson's ratio", which builds directly on this one.

How difficult is Young's modulus?

It is classed as Intermediate in Engineering Mechanics (topic 47 of 106). It is an intermediate topic. Work through the beginner topics in Engineering Mechanics first.

Learning path

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