Transcription of Shear Stress
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Shear Stress
Shear StressDue to the presence of the Shear force in beam and the fact thattxy=tyxa horizontal Shear force exists in the beam that tend to forcethe beam fibers to Shear in BeamsThe horizontal Shear per unit length is given byq=VQIwhereV=the Shear force at that section;Q=the first moment ofthe portion of the area (above the horizontal line where the Shear isbeing calculated) about the neutral axis; andI=moment of inertia ofthe cross-sectional area of the beam. The quantityqis also known astheshear Shear Stress Across the WidthAverage Shear Stress across the width is defined astave=VQItwheret=width of the section at that horizontal line.
Maximum Transverse Shear Stress For a narrow rectangular section we can work with the equation t = VQ It to calculate shear stress at any vertical point in the cross section. Hence, the shear stress at a distance y from the neutral axis Q = b· h 2 y · y+ h/2 2y 2 = b 2 · h 4 y2
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