Hooke's Law/Physical Body

Physical Law

While Hooke's Law is exact only when applied to an ideal spring, it also applies, up to a certain stress, to an actual physical body.

Stress-Strain Diagram

Let the stress on $\BB$ be plotted on the $x$-axis of a graph with the strain caused by the stress plotted against the $y$-axis.

The resulting graph is called a stress-strain diagram.

The above diagram shows a typical graph of stress against strain.

The segment $OA$ represents the region in which Hooke's Law actually applies.

The slope of $OA$ is the modulus of elasticity of the material of which the body is composed.


Also see


Source of Name

This entry was named for Robert Hooke.


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): elasticity
  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Hooke's law
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): elasticity
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Hooke's law
This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.