Chapter 7 Transverse Shear aka Beam Shear Stress

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Chapter 7 Transverse Shear (aka Beam Shear
Stress)
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7.1 Shear in Straight Members
Internal shear force creates shear deformation,
strain and shear stress!
Note due to nature of shear stress get
transverse and longitudinal strain.
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Physical example when boards glued together,
shear stress is developed at surfaces which
prevents slippage.
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Notice deformation key point, deformation not
uniform!!
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6.2 Shear Stress Formula
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Derivation of Beam Shear Stress Equation
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Derivation of Beam Shear Stress Equation (contd)
Recall, dM/dx V
Q
Internal Shear (lb)
First Moment of area (in3) at point of interest
Thickness of cross-section at point of interest
(in)
Moment of inertia of entire cross section (in4)
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Example Square Cross-section
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Example I-Beam
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7-11 Given A cantilever beam with 35 Kip load
at the end. Sketch the intensity of the
shear-stress distribution acting over the beams
cross-sectional area and determine the resultant
shear force acting on the segment AB.
Question where would you expect max stress to
be? Why would you be interested in shear stress
at joint?