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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== | |||
In [[solid mechanics]], shear flow is given in dimensions of force per length. This corresponds to units of [[newton (unit)|newton]]s 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: | |||
:<math> q = \frac{V_y Q_x}{I_x}</math> | |||
where | |||
:''q'' - the shear flow | |||
:''V''<sub>''y''</sub> - the shear force perpendicular to the neutral axis ''x'' through the entire cross-section | |||
:''Q''<sub>''x''</sub> - the [[first moment of area]] about the neutral axis ''x'' for a particular web section of the cross-section | |||
:''I''<sub>''x''</sub> - the [[second moment of area]] about the neutral axis ''x'' for the entire cross-section | |||
==External links== | |||
* [http://www.mathalino.com/reviewer/mechanics-and-strength-of-materials/horizontal-shearing-stress Horizontal shearing stress] | |||
* [http://www.mathalino.com/reviewer/mechanics-and-strength-of-materials/shear-flow Shear flow] | |||
==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 | |||
[[Category:Solid mechanics]] | |||
[[Category:Fluid dynamics]] | |||
Revision as of 05:47, 1 May 2013
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
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:
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
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