Mechanics of Materials Shear Stress and Shear Flow In Beams))
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Mechanics of Materials Shear Stress and Shear Flow In Beams ) )
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3 Proof of Longitudinal stress Shear Strain: as a result of shear stress Distort cross section Complex distortion Distortion neglected for slender beams ( small depth compared to its length)
Transcript of Mechanics of Materials Shear Stress and Shear Flow In Beams))
Mechanics of Materials
Shear Stress and Shear FlowIn Beams))
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Shear Stress in Beams
•Transverse Shear•V is the result of transverse shear-stress•There will be Longitudinal shear stress associated with transverse shear stress•Longitudinal shear stresses act along longitudinal planes of the beam
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Proof of Longitudinal stress
•Shear Strain: as a result of shear stress• Distort cross section• Complex distortion• Distortion neglected for slender beams
( small depth compared to its length)
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Shear FormulaRelationship between the shear-stress distribution, acting over the cross section of a beam, and the resultant shear force at the section
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Rectangular cross section:
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Rectangular cross section:
Max shear stress is 50% greater than the average shear stress
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Integration of the shear-stress distribution over the cross section result in the shear force V
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Wide Flange Beam
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