Paris' law: Difference between revisions

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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:
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* 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]]

Latest revision as of 20:25, 12 May 2014

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