Mechanics of Materials For Dummies by James H. Allen III

Author:James H. Allen, III
Language: eng
Format: epub
Publisher: Wiley
Published: 2010-06-02T16:00:00+00:00

where V is the applied vertical shear force on the cross section, Q is the first moment of area for the cross section, and I is the moment of inertia of the cross section. (Head to Chapter 5 for more on moments of area and moments of inertia.)

This relationship is basically the same as the shear stress equation earlier in the chapter except that it removes the thickness from the calculation, making q = (τ)(t).

Shear flow is actually a gradient of the shear stress and is independent of thickness, whereas a shear stress actually changes instantly when a cross section thickness varies.

To compute the shear flow q1, which is the value of the shear flow as it moves from Point A to Point D, you simply take a rectangular region — for this region, it’s the entire upper-left flange — and calculate the first moment of area Q for this region: Q1 = (4 in)(0.75 in)(5.625 in) = 16.875 in3. The shear flow from q1 at Point A is then given as

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