Uniaxial Loading the true story

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Uniaxial Loading (the true story)

• Aka Multiaxial loading

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extension
contraction
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Only the terms circled in red are non-zero for
uniaxial loading
And
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2.63
x y
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Assumptions cause equations to work sometime and
not work other times!So for uniaxial loading in
the x-direction
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2.68
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Red circles are terms that are zero. Note ?y?0
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PURE Shear (Labels in figure should be xy and
yx.)
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2.77
P
Y X
?xyA ?xyA
Lx
dy
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Stress-strain equations for mechanical and
thermal strains
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In general every situation involves these
quantities, some of which may equal zero.
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Special cases so far (?T0)
Uniaxial loading in the x-direction (on the x
surface)
Pure shear on y and z surfaces
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Special case plane stress (?T0)
Note Plane Stress may not cause plane strain!!!
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For any case where (?T?0)add to the following--
Uniaxial loading with ?T