WEBVTT 00:00:00.000 --> 00:00:03.130 I am a third graduate mechanical engineering student at Abdullah Gül University. 00:00:03.130 --> 00:00:06.990 Today I want to mention briefly about singularity functions. 00:00:06.990 --> 00:00:15.590 Singularity functions consist of three main title, of course we have some subtitles but most important ones are these. 00:00:16.080 --> 00:00:30.337 It is actually a compilation of as we call firstly unit step function secondly unit impulse function and thirdly unit ramp function. 00:00:30.607 --> 00:00:35.251 So what is the importance of singularity functions for mechanical engineering. 00:00:35.339 --> 00:00:48.859 Namely we can easily get deformation analysis and how it happens on beams by using singularity functions 00:00:48.867 --> 00:00:53.367 If we want to examine an example 00:00:53.410 --> 00:01:00.080 In this example, we have a beam and this beam is supported from somewhere 00:01:00.080 --> 00:01:06.217 and on this beam there is a force P and a distributed force w. 00:01:06.217 --> 00:01:15.367 We start the calculation by writing our distribution equation q. 00:01:15.658 --> 00:01:23.478 and after writing this equation with taking integral we can go shear force equation and lastly moment equation easily. 00:01:23.536 --> 00:01:26.066 and with this way we can get our deformation equivalence. 00:01:26.148 --> 00:01:30.148 These functions have a special case for taking integral. In so far 00:01:31.243 --> 00:01:31.863 integral 00:01:31.887 --> 00:01:35.327 By adding 1 to superscript value n untill 00:01:35.352 --> 00:01:39.352 it reaches zero 00:01:40.909 --> 00:01:44.909 and this number doesn't effect the value of x 00:01:44.928 --> 00:01:48.928 untill n bigger or equal to zero equation 00:01:48.991 --> 00:01:51.141 Shortly singularity functions are be 00:01:51.141 --> 00:01:52.521 much more the case 00:01:52.521 --> 00:01:54.981 Again, for deformation equations 00:01:55.095 --> 00:01:57.885 it is an important compilation of function 00:01:55.095 --> 00:01:59.095 Thank you..