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Elasticity in Physics

Every solid is a spring, just a very stiff one. Pull it and it lengthens, twist it and it distorts, squeeze it and it shrinks, and up to a limit it returns to shape afterwards. To compare materials fairly, the force is divided by the area it acts over so that a thick bar and a thin wire become comparable, and the distortion is divided by the original size for the same reason. What is left is a pure property of the material, and that is what the three moduli on this page measure. The blocks give stress and strain in each of the three ways a solid can be deformed, then the modulus and the deformation each one predicts.

Tensile stress in a solid

Given

  • (N)
  • (m²)
Tensile strain in a solid

Given

  • (m)
  • (m)
Young's modulus of a material

Given

  • (N)
  • (m²)
  • (m)
  • (m)
Change in length of a rod under a load

Given

  • (N)
  • (m)
  • (m²)
  • (N/m²)
Shear stress in a solid

Given

  • (N)
  • (m²)
Shear strain in a solid

Given

  • (m)
  • (m)
Shear modulus of a material

Given

  • (N)
  • (m²)
  • (m)
  • (m)
Bulk modulus of a material

Given

  • (Pa)
  • (m³)
  • (m³)
Change in volume of a body under pressure

Given

  • (Pa)
  • (m³)
  • (N/m²)