AQA 7408 A Level Physics · Mechanics and Materials

Materials and Young Modulus

Distinguish material properties from sample dimensions by using stress and strain rather than force and extension alone.

AQA 7408A LevelAQA 7408 3.4.2

Stress, strain and stiffness

Tensile stress is force divided by cross-sectional area; tensile strain is extension divided by original length. Young modulus is stress divided by strain in the linear elastic region and has unit pascal.

Graph interpretation

The gradient of a force–extension graph is the stiffness of that sample. The gradient of a stress–strain graph is Young modulus. The area under a force–extension graph is the work done deforming the sample.

Practical reasoning

Measure the original length and diameter carefully, repeat diameter measurements in different orientations and avoid parallax when reading extension. Stay below the elastic limit when determining Young modulus.