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Solids Under Stress

Stress, strain and the Young modulus

  • 3 things to know
  • Component 2

Overview

Tensile stress and state its unit, tensile strain and state its unit and young modulus and state its unit.

What you need to know

Answer each one before you reveal it.

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Key term

Outline how the Young modulus of a metal in the form of a wire is determined.

Key term

Define tensile stress and state its unit.

Key term

Why is the Young modulus a more useful measure of stiffness than the spring constant?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Define tensile stress and state its unit.

    Model answer

    Tensile stress is the force applied per unit cross-sectional area, σ = F/A, measured in pascals (Pa) or N m⁻².

  2. 2

    Define tensile strain and state its unit.

    Model answer

    Tensile strain is the extension divided by the original length, ε = Δl/l, and it is a ratio of two lengths so it has no unit.

  3. 3

    Define the Young modulus and state its unit.

    Model answer

    The Young modulus is the tensile stress divided by the tensile strain while Hooke's law applies, E = σ/ε, and it is measured in pascals (Pa).

  4. 4

    Why is the Young modulus a more useful measure of stiffness than the spring constant?

    Model answer

    The spring constant depends on the length and thickness of the particular specimen, whereas the Young modulus is a property of the material alone.

  5. 5

    Under what condition is the Young modulus defined?

    Model answer

    It is defined for the region in which Hooke's law applies, that is while the stress is still directly proportional to the strain.

  6. 6

    Why does strain have no unit?

    Model answer

    Strain is an extension in metres divided by an original length in metres, so the units cancel.

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