The Young's Modulus calculator computes Young's Modulus based on the force applied, area of application, length of change under stress and equilibrium length.

INSTRUCTIONS: Choose units and enter the following:

• (F) Force applied
• (A) Area of force application
• (`Delta_L`) Length of change under applied stress
• (L₀) Equilibrium Length

Young's Modulus (E): The calculator returns the modulus in pascals.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

Young's modulus, also known as the tensile modulus or elastic modulus, is a measure of the stiffness of an elastic material and is a quantity used to characterize materials. It is defined as the ratio of the stress along an axis over the strain along that axis in the range of stress in which Hooke's law holds.

     `E-=(["stress"])/(["strain"])"     which is equal to    "E=(L_0)/(DeltaL)F/A`

where:

• E = Young's Modulus 
• F = force applied,
• A = the area over which the force is applied
• `DeltaL` = length change under the applied stress
• L₀ = equilibrium length

Young's modulus has units of pressure.

Young's modulus can be used to predict the elongation or compression of an object as long as the stress is less than the yield strength of the material.

Notes

Young's Modulus is also referred to as the elastic modulus.  Young's modulus has the same value for both tensile and compressive stresses.