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Topic: Shear (mathematics)

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	Shear (mathematics) - Wikipedia, the free encyclopedia
		In this shear transformation of an image of the Mona Lisa, the picture was deformed in such a way that its central vertical axis was not modified.
		In mathematics, a shear is a particular kind of linear mapping.
		Similarly, a horizontal shear of vertical lines x = a into lines of slope m is represented by the linear mapping
	en.wikipedia.org /wiki/Shear_(mathematics) (212 words)

	Definition and Mathematics of Pure Shear
		During pure shear the sides of the cube that are parallel to the z-axis are shortened, while the lengths of the sides that are parallel to the x-axis increase.
		Pure shear like simple shear also describes the change of points in a body relative to each other, and therefore they are described through an internal reference frame (Ferguson, 1994; Davis and Reynolds, 1996; van der Pluijm and Marshak, 1997).
		During pure shear only lines that are parallel to the maximum and minimum principal strain directions will remain parallel before and after a pure shear event, while all other lines will be either shortened or lengthened.
	www.geology.sdsu.edu /visualstructure/vss/htm_hlp/pure_s.htm (795 words)

	Definition and Mathematics of Simple Shear
		A cube subjected to a simple shear event is converted into a parallelogram resulting in a rotation of the finite strain axes.
		As the top of the deck is moved to the right the lengths of the sides of the deck that are parallel to the Y and X axes do not change, while the lengths that start out parallel to the Z axis increase.
		Simple shear describes the change of points in a body relative to each other, and therefore they are described through an internal reference frame (Ferguson, 1994; Davis and Reynolds, 1996; van der Pluijm and Marshak, 1997).
	www.geology.sdsu.edu /visualstructure/vss/htm_hlp/simpl_s.htm (763 words)

	Shear - Wikipedia, the free encyclopedia
		Cosmic shear, an effect of distorition of image of distant galaxies due to deflection of light by matter, as predicted by general relativity (see also weak lensing and gravitational lens)
		Shear line (locksmithing), in lockpicking, where the inner cylinder ends and the outer cylinder begins in a cylinder lock
		Shearing (physics), the deformation of a material substance in which parallel internal surfaces slide past one another,
	en.wikipedia.org /wiki/Shear (277 words)

	Amazon.com: Innovative Shear Design (Structural Engineering): Books: Hri Stamenkovic (Site not responding. Last check: 2007-11-03)
		Design of concrete, steel and timber structures to resist shearing forces is therefore an important consideration for the structural engineer.
		Innovative Shear Design contains numerous practical examples describing optimum design techniques for all types of structures, and is an essential reference for structural designers, architects, academics and researchers.
		Shears from CacheBeauty.com — Order shears from Cache Beauty Supply and find out just how easy online shopping can be.
	www.amazon.com /Innovative-Shear-Design-Structural-Engineering/dp/0415258367 (898 words)

	shear - OneLook Dictionary Search
		Shear : Eric Weisstein's World of Mathematics [home, info]
		Shear : Glossary of Fastener Terms [home, info]
		Phrases that include shear: wind shear, shear modulus, shear strength, shear steel, shear wave, more...
	www.onelook.com /?loc=pub&w=shear (376 words)

	Electronic Resources - Shear Mathematics or Euclid's Paradoxicals Applied
		In modern terms, we say that the areas are equal because the base and the altitude do not vary from one shape to the other.
		In transformational terms, this kind of “shearing” of one figure into another does not affect the area.
		This principle, which Euclid proved in static terms in I.35, can be employed to help students come to accept the relationship of areas in the Pythagorean Theorem.
	my.nctm.org /eresources/view_article.asp?article_id=7116&page=3 (180 words)

	Amazon.com: The Physics and Mathematics of Adiabatic Shear Bands: Books: T. W. Wright (Site not responding. Last check: 2007-11-03)
		This monograph covers the material instability known as adiabatic shear banding which often occurs in a plastically deforming material as it undergoes rapid shearing.
		This book surveys these exciting developments at the frontier of mathematics and presents many new results.
		It then establishes a general theory of isotropic plasticity with finite deformations as a setting for the simpler, but still nonlinear and highly coupled, equations of adiabatic shearing and the idealizations that are necessary to establish them.
	www.amazon.com /Physics-Mathematics-Adiabatic-Shear-Bands/dp/0521631955 (931 words)

	Electronic Resources - Shear Mathematics or Euclid's Paradoxicals Applied
		I subscribe to a geometry Listserv at The Math Forum @ Drexel, a huge Web site devoted to supporting students and teachers of mathematics.
		At the rate of about one per week, an e-mail message arrives with a question similar to “My property is an odd shaped lot, and I need help figuring the square footage.
		Copyright ©2001-2006 National Council of Teachers of Mathematics.
	my.nctm.org /eresources/view_article.asp?article_id=7116 (179 words)

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