Quantcast
Typesetting math: 100%

Modulus of Elasticity

Last modified by
on
Jan 10, 2024, 1:44:56 PM
Created by
on
Mar 15, 2014, 8:39:26 PM
E=P/Aδ/LE=P/Aδ/L
(P)Loading(P)Loading
(A)Cross-sectional Area(A)Cross-sectional Area
(δ)Elastic Longitudinal Deformation(δ)Elastic Longitudinal Deformation
(L)Length of Member(L)Length of Member
Tags
UUID
45c5ba32-3233-11e3-8029-bc764e049c3d

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
  • δδ - 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 moduluor 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

This equation, Modulus of Elasticity, references 2 pages
This equation, Modulus of Elasticity, is used in 2 pages
  • Comments
  • Attachments
  • Stats
No comments
This site uses cookies to give you the best, most relevant experience. By continuing to browse the site you are agreeing to our use of cookies.