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# Shear flow

Shear flow is:-

in a solid body, the gradient of a shear stress force through the body;
in a fluid, it is the flow induced by such a force gradient - see Viscosity for a fuller treatment.

## Dimensions

In solid mechanics, shear flow is given in dimensions of force per length. This corresponds to units of newtons per meter in the SI system and pound-force per foot in the English Engineering and British Gravitational systems.

## Shear flow in semi-monocoque structures

The equation for shear flow in a particular web section of the cross-section of a semi-monocoque structure is:

$q = \frac{V_y Q_x}{I_x}$
• q - the shear flow through a particular web section of the cross-section
• Vy - the shear force perpendicular to the neutral axis x through the entire cross-section
• Qx - the first moment of area about the neutral axis x for a particular web section of the cross-section
• Ix - the second moment of area about the neutral axis x for the entire cross-section

## Sources

• Riley, W. F. F., Sturges, L. D. and Morris, D. H. Mechanics of Materials. J. Wiley & Sons, New York, 1998 (5th Ed.), 720 pp. ISBN 0-471-58644-7