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Arlon
Online Engineering
Library - TechRef!
Mechanics of Materials
Uniaxial Stress-Strain
The slope of the linear portion of the curve equals the modulus of elasticity.
Engineering Strain
 =  L / L0, where
= engineering strain (units per unit)
L = change in length (units) of member
L0 = original length (units) of member
pl = plastic deformation (permanent)
el = elastic deformation (recoverable)
Equilibrium requirements:  F = 0; M = 0
Determine geometric compatibility with the restraints. Use a linear force-deformation relationship:
F = k
Definitions
Shear Stress-Strain
 =  /G, where
= shear strain
= shear stress
G = shear modulus
 , where
E = modulus of elasticity
 = Poisson's ratio = -(lateral strain)/(longitudinal strain)
Uniaxial Loading and Deformation
 = P/A, where
= stress on the cross section
P = loading
A = cross-sectional area
= /L, where
= longitudinal deformation
L = length of the member
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