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Shear Stress Lecture 4 ME EN 372 Andrew Ning aning@byu.edu - - PDF document
Shear Stress Lecture 4 ME EN 372 Andrew Ning aning@byu.edu - - PDF document
Shear Stress Lecture 4 ME EN 372 Andrew Ning aning@byu.edu Outline Direct Shear Shear from Bending Direct Shear = V A Shear from Bending V M V M V = dM dx M I t Z c Q = ydA V = dM y dx c M y I t Z c V = dM Q = ydA y
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Shear from Bending
V M
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V M
t I M V = dM dx
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y c Q = Z c
y
ydA t I M V = dM dx y c Q = Z c
y
ydA t τ I M V = dM dx
τ(y) = V Q It
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Example: rectangular section
b h y
τ = V 2I h2 4 − y2
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Rectangle: τmax = 3V 2A Circle: τmax = 4V 3A
I-beam example
8 5 2 3