30-03-2012, 12:57 PM
Load-Stress Relationships
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Introduction
Load-Stress and Load-Deflection Relationships
Mechanics of Materials Methods
Continuum Mechanics/Elasticity methods
Energy Methods
Stress-Strain Relations
Elastic and Inelastic Response
Material Properties
Load-Carrying Members
Failure Modes and Theories
Load-Stress Relationships
The equations of equilibrium or equations of motion.
Compatibility or continuity conditions (no overlaps or voids).
Constitutive equations.
Uses of Mechanics of Materials Methods
Non-symmetric bending (Ch. 7)
Shear Center (Ch. 8)
Curved Beams (Ch. 9)
Beams on Elastic Foundations (Ch. 10)
Some interesting points about Poisson’s ratio
The Poisson ratio for most metals falls between 0.25 to 0.35.
Rubber has a Poisson ratio close to 0.5 and is therefore almost incompressible!
Cork has a Poisson ratio close to zero. (This makes cork function well as a bottle stopper, since an axially-loaded cork will not swell laterally to resist bottle insertion.)
The Poisson's ratio is bounded by two theoretical limits: it must be greater than -1, and less than or equal to 0.5,
(It is rare to encounter engineering materials with negative Poisson ratios.)