Plate (structure): Difference between revisions

Revision as of 23:03, 11 August 2012

Latest revision as of 06:31, 27 September 2023

(10 intermediate revisions by 7 users not shown)

Line 1:

{{refimprove|date=July 2012}}

A '''plate''' is a [[structural element]] which is characterized by two key properties. Firstly, its geometric configuration is a three-dimensional solid whose thickness is very small when compared with other dimensions.<ref>{{Cite Secondly,web|last1=Steele|first1=Charles theR.|last2=Balch|first2=Chad effectsD.|date=2009-04-02|title=Introduction ofto the loadsTheory thatof are expected to be applied on it only generate stresses whose [[net forcePlates|url=https://web.stanford.edu/~chasst/Course%20Notes/Introduction%20to%20the%20Theory%20of%20Plates.pdf|archive-url=|resultants]]archive-date=|access-date=2020-12-14|website=|publisher=Stanford are, in practical terms, exclusively normal to the element's thickness.University}}</ref>

The effects of the loads that are expected to be applied on it only generate stresses whose [[net force|resultants]] are, in practical terms, exclusively [[Normal (geometry)|normal]] to the element's thickness. Their mechanics are the main subject of the [[plate theory]].

Thin plates are initially flat structural members bounded by two parallel planes, called faces, and a cylindrical surface, called an edge or boundary. The generators of the cylindrical surface are perpendicular to the plane faces. The distance between the plane faces is called the thickness (h) of the plate. It will be assumed that the plate thickness is small compared with other characteristic dimensions of the faces (length, width, diameter, etc.). Geometrically, plates are bounded either by straight or curved boundaries. The static or dynamic loads carried by plates are predominantly perpendicular to the plate faces.<ref>''Thin plates and shells-theories, analysis and applications''. Eduard Vensel.</ref>

Thin plates are initially flat structural members bounded by two parallel planes, called faces, and a cylindrical surface, called an edge or boundary. The generators of the cylindrical surface are perpendicular to the plane faces. The distance between the plane faces is called the thickness (h) of the plate. It will be assumed that the plate thickness is small compared with other characteristic dimensions of the faces (length, width, diameter, etc.). Geometrically, plates are bounded either by straight or curved boundaries. The static or dynamic loads carried by plates are predominantly perpendicular to the plate faces.<ref>[https://books.google.com/books/about/Thin_Plates_and_Shells.html?id=nvny90yqgOYC ''Thin platesPlates and shells-theories,Shells: analysisTheory: Analysis, and applicationsApplications'']. Eduard VenselVentsel (2001) via [[Google Books]]. Retrieved 17 August 2012.</ref>

== See also ==

* [[Shell (structure)|Shell]]

* [[Bending of plates]]

==References==

{{Reflist}}

<references/>

* [[Stephen Timoshenko]] & S. Woinowsky-Krieger (1940,59) ''Theory of Plates and Shells'', McGraw-Hill Book Company.

[[Category:Solid mechanics]]

[[Category:Structural system]]

{{Civil-engineering-stub}}