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Mechanics of Materials Shear Stress and Shear Flow In Beams))

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Presentation on theme: "Mechanics of Materials Shear Stress and Shear Flow In Beams))"— Presentation transcript:

1 Mechanics of Materials Shear Stress and Shear Flow In Beams))

2 2 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

3 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)

4 4 Shear Formula Relationship 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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7 7 Rectangular cross section:

8 8 Max shear stress is 50% greater than the average shear stress

9 9 Integration of the shear-stress distribution over the cross section result in the shear force V

10 10 Wide Flange Beam

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