Young’s Modulus from a Tensile Test
Young’s Modulus from a Tensile Test
Young’s modulus — the slope of the elastic part of the stress–strain curve — quantifies stiffness and is found directly from test data.
In the elastic range E = σ/ε. where σ is the stress and ε the corresponding strain.
Inputs
sigma := 150 MPa=150 MPa
eps := 0.00075=7.5e-04
Divide stress by strain in the elastic region.
E := sigma/eps=200000 MPa
Results
For steel this returns about 200 GPa. The modulus is a material constant independent of the specimen size — only the geometry of the test changes the raw force and extension.
Assumptions & limitations
- Linear-elastic region only.
- Uniaxial stress.
- Below the proportional limit.