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I am a third graduate mechanical engineering student at Abdullah Gül University.

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Today I want to mention briefly about singularity functions.

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Singularity functions consist of three main title, of course we have some subtitles but most important ones are these.

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It is actually a compilation of as we call firstly unit step function secondly unit impulse function and thirdly unit ramp function.

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So what is the importance of singularity functions for mechanical engineering.

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Namely we can easily get deformation analysis and how it happens on beams by using singularity functions

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If we want to examine an example

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In this example, we have a beam and this beam is supported from somewhere

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and on this beam there is a force P and a distributed force w.

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We start the calculation by writing our distribution equation q.

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and after writing this equation with taking integral we can go shear force equation and lastly moment equation easily.

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and with this way we can get our deformation equivalence.

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These functions have a special case for taking integral. In so far

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integral

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By adding 1 to superscript value n untill

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it reaches zero

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and this number doesn't effect the value of x

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untill n bigger or equal to zero equation

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Shortly singularity functions are be

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much more the case

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Again, for deformation equations

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it is an important compilation of function

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Thank you..