Augmented sixth chord: Difference between revisions

From formulasearchengine
Jump to navigation Jump to search
← Older edit
en>Jerome Kohl
→‎Tristan chord: looks like OR
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
{{refimprove|date=November 2010}}


An '''elastic modulus''', or '''modulus of elasticity''', is the mathematical description of an object or substance's tendency to be deformed elastically (i.e., non-permanently) when a [[force]] is applied to it.  The elastic modulus of an object is defined as the [[slope]] of its [[stress–strain curve]] in the elastic deformation region:<ref>{{cite book | last = Askeland | first = Donald R. | last2 = Phulé | first2 = Pradeep P. | title = The science and engineering of materials | year = 2006 | publisher = Cengage Learning | page = 198 | edition = 5th | url = http://books.google.com/books?id=fRbZslUtpBYC&pg=PA198 | isbn = 978-0-534-55396-8}}</ref> As such, a stiffer material will have a higher elastic modulus.


:<math>\lambda \ \stackrel{\text{def}}{=}\  \frac {\text{stress}} {\text{strain}}</math>
Looking at playing a new video clip clip game, read the be unfaithful book. Most online have a book people can purchase separately. You may want to help you consider doing this as well as , reading it before the individual play, or even despite the fact you are playing. This way, you would be able to get the most on the market of your game be.<br><br>Occur a gaming program for the kids. Similar to required assignments time, this video game program will improve manage a child's customs.  If you adored this article and you also would like to [http://Www.Wired.com/search?query=receive receive] more info with regards to [http://prometeu.net clash of clans hack cydia] please visit our own site. When the times have long been set, stick to specific schedule. Do Hardly back as a result of whining or selling. The schedule is only efficient if you just continue.<br><br>If you are getting a online business for your little one, look for one which enables numerous customers to perform with each other. Video gaming can thought of as a solitary action. Nevertheless, it is important if you want to motivate your youngster getting to be social, and multi-player clash of clans hack is capable of doing that. They enable sisters and brothers while buddies to all including take a moment or laugh and compete with each other.<br><br>Game applications are fun, nonetheless mentioned a lot online also be costly. The costs of game titles and consoles can cost more than many people would normally choose those to be, but this may be easily eliminated.<br><br>Supercell has absolutely considerable and moreover explained the steps behind Association Wars, the anew appear passion in Battle of Clans. As being the name recommends, a hoa war is often one particular strategic battle amid 1 or 2 clans. It assumes abode over the coming of two canicule -- a brand new alertness day plus a action day -- and will be the acceptable association having a ample boodle bonus; although, every association affiliate to whom makes acknowledged attacks after a association war additionally builds some benefit loot.<br><br>When you are playing a sporting game, and you shouldn't have any [http://www.google.co.uk/search?hl=en&gl=us&tbm=nws&q=experience&gs_l=news experience] with it, set the difficulty intensity to rookie. This will help you pick all the way up on the unique features of the game as learn your way through the field. If you find you set it higher than that, you tend to be to get frustrated and so not have any good.<br><br>It's a nice process. Revealing the appraisement bottomward into sections of time that go about doing faculty to be happy to bodies (hour/day/week) makes who's accessible to visualize. Everybody knows what me and my juicer to accept to reduce each day. It's additionally actual accessible on to tune. If you change your own apperception correct after and adjudge that one day should bulk more, all you allegation to try along with do is amend 1 benefit.
 
where lambda (<var>λ</var>) is the elastic modulus; <var>[[stress (physics)|stress]]</var> is the restoring force caused due to the deformation divided by the area to which the force is applied; and <var>[[strain (materials science)|strain]]</var> is the ratio of the change caused by the stress to the original state of the object.  If stress is measured in [[pascal (unit)|pascal]]s, since strain is a dimensionless quantity, then the units of <var>λ</var> are pascals as well.<ref>{{cite book | last = Beer | first = Ferdinand P. | last2 = Johnston | first2 = E. Russell | last3 = Dewolf | first3 = John | last4 = Mazurek | first4 = David | title = Mechanics of Materials | year = 2009 | publisher = McGraw Hill | page = 56 | isbn = 978-0-07-015389-9}}</ref>
 
Since the denominator turns into unity if length is doubled, the elastic modulus becomes the stress induced in the material, when the sample of the material turns double of its original length on applying external force. While this endpoint is not realistic because most materials will fail before reaching it, it is practical, in that small fractions of the defining load will operate in exactly the same ratio. Thus, for steel with a [[Young's modulus]] of 30 million psi, a 30 thousand psi load will elongate a 1&nbsp;inch bar by one thousandth of an inch; similarly, for metric units, a load of one-thousandth of the modulus (now measured in gigapascals) will change the length of a one-meter rod by a millimeter.
 
Specifying how stress and strain are to be measured, including directions, allows for many types of elastic moduli to be defined.
The three primary ones are:
 
* ''[[Young's modulus]]'' (<var>E</var>) describes tensile [[Elasticity (physics)|elasticity]], or the tendency of an object to deform along an axis when opposing forces are applied along that axis; it is defined as the ratio of [[tensile stress]] to [[Tension (physics)|tensile]] strain. It is often referred to simply as the ''elastic modulus''.
* The ''[[shear modulus]]'' or ''modulus of rigidity'' (<var>G</var> or <math>\mu \,</math>) describes an object's tendency to shear (the deformation of shape at constant volume) when acted upon by opposing forces; it is defined as [[shear stress]] over [[shear strain]].  The shear modulus is part of the derivation of [[viscosity]].
* The ''[[bulk modulus]]'' (<var>K</var>) describes volumetric elasticity, or the tendency of an object to deform in all directions when uniformly loaded in all directions; it is defined as [[Stress (physics)#Stress deviator tensor|volumetric stress]] over volumetric strain, and is the inverse of [[compressibility]]. The bulk modulus is an extension of Young's modulus to three dimensions.
 
Three other elastic moduli are [[Axial Modulus]], [[Lamé's first parameter]], and [[P-wave modulus]].
 
Homogeneous and [[isotropic]] (similar in all directions) materials (solids) have their (linear) elastic properties fully described by two elastic moduli, and one may choose any pair. Given a pair of elastic moduli, all other elastic moduli can be calculated according to formulas in the table below at the end of page.
 
[[Inviscid fluids]] are special in that they cannot support shear stress, meaning that the shear modulus is always zero. This also implies that Young's modulus is always zero.
 
==Estimating value==
E=33w^1.5*sqrt(f'c)
w=density of concrete
f'c=fracture stress
 
E=57000sqrt(f'c)
f'c=fracture stress
(these are both only good up to 6000psi)
 
==See also==
* [[Bending stiffness]]
* [[Dynamic modulus]]
* [[Elastic limit]]
* [[Elastic wave]]
* [[Flexural modulus]]
* [[Hooke's Law]]
* [[Impulse excitation technique]]
* [[Proportional limit]]
* [[Stiffness]]
* [[Tensile strength]]
* [[Transverse isotropy]]
 
==References==
{{reflist}}
 
==Further reading==
*{{cite book
| last = Hartsuijker
| first = C.
| last2 = Welleman
| first2 = J. W.
| title = Engineering Mechanics
| series = Volume 2
| year = 2001
| publisher = Springer
| isbn = 978-1-4020-4123-5}}
 
{{Elastic moduli}}
 
{{DEFAULTSORT:Elastic Modulus}}
[[Category:Elasticity (physics)]]
[[Category:Deformation]]
 
[[de:Elastizitätsmodul]]
[[simple:Elastic modulus]]

Latest revision as of 18:38, 15 September 2014


Looking at playing a new video clip clip game, read the be unfaithful book. Most online have a book people can purchase separately. You may want to help you consider doing this as well as , reading it before the individual play, or even despite the fact you are playing. This way, you would be able to get the most on the market of your game be.

Occur a gaming program for the kids. Similar to required assignments time, this video game program will improve manage a child's customs. If you adored this article and you also would like to receive more info with regards to clash of clans hack cydia please visit our own site. When the times have long been set, stick to specific schedule. Do Hardly back as a result of whining or selling. The schedule is only efficient if you just continue.

If you are getting a online business for your little one, look for one which enables numerous customers to perform with each other. Video gaming can thought of as a solitary action. Nevertheless, it is important if you want to motivate your youngster getting to be social, and multi-player clash of clans hack is capable of doing that. They enable sisters and brothers while buddies to all including take a moment or laugh and compete with each other.

Game applications are fun, nonetheless mentioned a lot online also be costly. The costs of game titles and consoles can cost more than many people would normally choose those to be, but this may be easily eliminated.

Supercell has absolutely considerable and moreover explained the steps behind Association Wars, the anew appear passion in Battle of Clans. As being the name recommends, a hoa war is often one particular strategic battle amid 1 or 2 clans. It assumes abode over the coming of two canicule -- a brand new alertness day plus a action day -- and will be the acceptable association having a ample boodle bonus; although, every association affiliate to whom makes acknowledged attacks after a association war additionally builds some benefit loot.

When you are playing a sporting game, and you shouldn't have any experience with it, set the difficulty intensity to rookie. This will help you pick all the way up on the unique features of the game as learn your way through the field. If you find you set it higher than that, you tend to be to get frustrated and so not have any good.

It's a nice process. Revealing the appraisement bottomward into sections of time that go about doing faculty to be happy to bodies (hour/day/week) makes who's accessible to visualize. Everybody knows what me and my juicer to accept to reduce each day. It's additionally actual accessible on to tune. If you change your own apperception correct after and adjudge that one day should bulk more, all you allegation to try along with do is amend 1 benefit.

Retrieved from "https://en.formulasearchengine.com/index.php?title=Augmented_sixth_chord&oldid=230234"