Shear
Stress in Beams
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*Example: The clamped, 3 foot built-up
beam, AB, is acted on by a concentrated load P as shown below. The beam is formed by gluing three, 2 by
4 inch pieces together. The glue can support an allowable
shear stress, τal = 50 psi. The wood can sustain an allowable bending stress of σal
= 1600 psi. Determine the maximum
allowable load, P, that can act on the beam. |
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Strategy: Construct a FBD then plot the
shear and bending moment diagrams to determine the maximum shear force and
maximum bending moment in the beam. Use τ
= VQ/It and σ = Mc/I to determine the maximum shear
stress and bending stress developed in the beam. Click here to continue
with this example. |
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