Shear flow

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The term shear flow is used in solid mechanics as well as in fluid dynamics. Loosely speaking, shear flow is defined as:

  • the gradient of a shear stress force through the body (in solid mechanics);
  • the flow induced by such a force gradient (in a fluid).

In this article the first definition from solid mechanics is used. See Viscosity for a fuller treatment about the term from fluid dynamics.

Dimensions[edit]

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[edit]

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}

where

q - the shear flow
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

External links[edit]

Sources[edit]

  • 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