www.youtube.com/.../watch?v=jck37qf23vo

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

Today I want to mention briefly about singularity functions.

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

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

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

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

If we want to examine an example

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

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

We start the calculation by writing our distribution equation q.

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

and with this way we can get our deformation equivalence.

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

integral

By adding 1 to superscript value n untill

it reaches zero

and this number doesn't effect the value of x

untill n bigger or equal to zero equation

Shortly singularity functions are be

much more the case

Again, for deformation equations

it is an important compilation of function

Thank you..