Enter the stress and strain into the calculator to determine the flexural modulus of a material. The flexural modulus is a measure of a material’s stiffness when it is bent.

Flexural Modulus Formula

The following formula is used to calculate the flexural modulus:

E = \frac{\sigma}{\epsilon}

Variables:

  • E is the flexural modulus (MPa)
  • σ is the stress (MPa)
  • ε is the strain (unitless)

To calculate the flexural modulus, divide the stress by the strain.

What is Flexural Modulus?

Flexural modulus, also known as the modulus of elasticity in bending, is a measure of a material’s stiffness or resistance to flexural deformation. It is defined as the ratio of stress to strain in flexural deformation, or the tendency for a material to resist bending. It is an important parameter in engineering and materials science, particularly in the design and analysis of materials that will undergo bending stresses.

How to Calculate Flexural Modulus?

The following steps outline how to calculate the Flexural Modulus:


  1. First, determine the stress (σ) in the material under flexural load, measured in megapascals (MPa).
  2. Next, determine the strain (ε) in the material, which is a unitless value representing the deformation per unit length.
  3. Use the formula E = σ / ε to calculate the Flexural Modulus (E).
  4. Finally, enter the values of stress and strain into the calculator to find the Flexural Modulus.

Example Problem:

Use the following variables as an example problem to test your knowledge.

Stress (σ) = 120 MPa

Strain (ε) = 0.005 (unitless)