`E = ( "P" "/" "A" ) / ( delta "/" "L" )`

Enter a value for all fields

This equation computes the Modulus of Elasticity (Young's Modulus) from the uniaxial loading and deformation. 

Inputs

• P - the uniaxial loading on the member
• A - the cross-sectional area of the member perpendicular to the axis
• `delta` - the elastic longitudinal deformation
• L - the length of the member being deformed

Description

The modulus of elasticity¹ is the measure of an object's or material's tendency to deform elastically (i.e., non-permanently) when a force is applied. The Modulus of Elasticity is also known as Young's Modulus, the tensile modulus or elastic modulus.  This modulus measures the stiffness of an elastic material. It is defined as the ratio of the stress (force per unit area) along an axis to the strain (ratio of deformation over initial length) along that axis in the range of stress in which Hooke's law holds.²

See also

Stress on a Cross Section

1. ^ Fundamentals of Engineering. 8th edition, 2nd Revision.  National Council of Examiners for Engineering and Surveying (NCEES) - 2001. ISBN 978-1-932613-59-9.  pg 33
2. ^ http://en.wikipedia.org/wiki/Young%27s_modulus