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Hooke’s Laws for Axial and Shear Stress
KML 9/4/09
Hooke’s Law for axial (normal) stress is:
ε
⋅
=
σ
E
, where this equation hold for the linear, elastic
range of deformation, and:

σ
is the normal stress (with units of psi, ksi, kPa, MPa, etc.)
 E is the modulus of elasticity (with units of ksi, MPa, etc.)

ε
is the normal strain (with no units)
A square that is drawn on an unloaded object will become a rectangle when the object is loaded
under a normal stress.
Unloaded
Loaded in tension
Loaded in compression
Hooke’s Law for shear stress is:
γ
⋅
=
τ
G
, where this equation hold for the linear, elastic range of
deformation, is analogous to the equation for normal stress, and:
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This note was uploaded on 10/01/2009 for the course MEGR 2144 taught by Professor Sharpe during the Fall '08 term at UNC Charlotte.
 Fall '08
 Sharpe

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