Singularity Functions (Macaulay's Method) for Beam Deflections

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Singularity Functions (Macaulay's Method) for Beam Deflections - Mechanics of Materials

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Күн бұрын

This video describes the use of singularity functions (Macaulay's Method) to calculate deflections of beams with various loading and support conditions. By the end of the video, you should be able to describe a singularity function, describe typical loading conditions (i.e. concentrated force/moment, distributed loading) using singularity functions, explain how singularity functions are used to calculate beam deflections.

Пікірлер: 108

@dobbs024 5 жыл бұрын

This guy is incredible. His approach grabbed my attention from the start, just by the way he speaks about the material. If that's not enough, he literally answered my two biggest questions about this subject in the first 2 minutes of the video. This is unheard of in engineering!!! Thank you!

@ststst981 Жыл бұрын

I somehow passed Machine Design and Mechanics of Materials without ever truly learning singularity and you taught it to me perfectly in less than 15 minutes.

@mark-qi6di 4 жыл бұрын

I was one who was wondering "what the heck is a singularity function?!", haha. The explanation using the step function was most helpful. Thank you!

@clivetinashematsika9044 6 жыл бұрын

Greetings from PHX watching in 2018 and this is still relevant. Thanks a lot man, you do know your stuff. I started watching your channel when I was a sophomore and your videos still make sense to me.I wish I knew the best way to say thanks, stay lifted!!!

@WonderingNobody 9 жыл бұрын

Oh God I have been searching this for last 12 months.Thank you so much..

@alperturna7436 5 жыл бұрын

I really appreciated... thank you so much. Millions of people watch the nonsense videos; what you are doing here saves thousands of students' lives:) Good job!

@ayonyawo1558 2 жыл бұрын

you're a life saver. I've been struggling to understand this concept for acouple days and I just grasped it a day before my test, thank you structure free this was a fun lecture to watch.

@tauqeerahmed2775 8 жыл бұрын

You Are Awesome i admire your style of teaching. Good job and your work made our lives so much easier. Thank you so much.

@structurefree 8 жыл бұрын

Thank you!

@FellatioHoratio 10 жыл бұрын

Thanks man, helped me better than what my lecture taught me.

@MohammedAli-jg5qt 5 жыл бұрын

God bless your soul! feeling very confident entering the exam this week!!!

@Buehmaer88 10 жыл бұрын

Excellent video on Singularity Method. A great refresher for those of us who forgot our Machine Design lessons.

@hemptwistable 5 жыл бұрын

Can't thank you enough for the video. I have been taught the integration method for calculating deflection without being told how to develop these equations. Up until now feels like I have been doing these integrations with one hand tied behind my back.

@structurefree 5 жыл бұрын

Thank you for the kind words and sharing a comment! Learning that the content I create actually helps is so satisfying...it never gets old.

@hemptwistable 5 жыл бұрын

@@structurefree Well then you will be happy to know that this video is currently going around the Mechanics of Solids students at the University of Technology Sydney!

@structurefree 5 жыл бұрын

Thanks homie! You actually made my day. 🙏

@vandoan7062 9 ай бұрын

i have to say this video is genuinely extremely helpful

@romaabdessalamirr8229 7 ай бұрын

Hi u know how to slove this problem using superposition 🥺

@jackstone4497 2 жыл бұрын

dude i was distracted before you change the volume of your sound then boom im all in . Genius

@chorthithian 7 жыл бұрын

i am loving you so much right now. This explanation is perfectly clear and even introduces to us how all these loads and moments relate to the actual bending of the beam. Thank you soooooo much!

@structurefree 7 жыл бұрын

Word!

@joeten4817 7 жыл бұрын

AWESOME WORK MAN! I LOVE THE WAY YOU TEACH! YOU SHOULD REPLACE MY LECTURER

@ryann5247 9 жыл бұрын

This sounds like Dave Franco teaching me strengths

@evansasante8113 6 жыл бұрын

This video really helped me in my project. Thank you very much

@mahmudulislamkhan5464 6 жыл бұрын

Hatts Off man... You saved my neck

@toomdog 8 жыл бұрын

It should be noted that if n < 0, the brackets do not turn on. Such that ^-1 is zero regardless of what x may be... But of course I commented before the end of the video.

@chorthithian 7 жыл бұрын

naw what you're saying is true!!! still, the video was excellent

@nelko5987 6 жыл бұрын

Can you explain on how to find the value of the 'n' please?

@mickolesmana5899 3 жыл бұрын

Got yourself a subscriber my guy.

@structurefree 3 жыл бұрын

🙏

@devvv4616 4 жыл бұрын

This is very very useful in higher civil engineering course, like in steel design

@smokiibear01 4 жыл бұрын

Loved the video. I'm not clear though how to select the n or the singularity equations. Where do they come from?

@lydiaantol3239 4 ай бұрын

This guy is literally my celebrity crush. Thank you for these videos🥲

@sunmichoi6888 2 жыл бұрын

OMG thank you so much

@mohammedal-obaid6713 5 жыл бұрын

you are the best

@tsunghan_yu 7 жыл бұрын

this is very helpful thank you!

@mertturan4577 9 жыл бұрын

You are AWESOME! But i hoped you told a little bit more about 'n'

@diegox4122 7 жыл бұрын

hey one question, is there any case where I can`t use singularity functions to solve this beam problems?

@haidilhelqi5519 9 жыл бұрын

7.43... why sign +ve in calcilation for the moment clockwise? can you explain it.. thank you so much... you video very clear n nice.. you are AWESOME...!!!!

@aahmed29 10 жыл бұрын

i didn't get why the power of is different every situation

@moataz1997 7 жыл бұрын

I'm curious ... did u get it now -after 3 years-??

@ManOfDarkness93 6 жыл бұрын

hhhhhhhhhhhhhhh

@raffijamgotchian5275 5 жыл бұрын

I hope the answer isn't too late.. lol. It is to keep the units consistent for whatever is on the LHS

@ambereckford4312 7 жыл бұрын

Would you happen to have any examples on finding elastic curves with statically indeterminate beams? And good job on the video updates, you're awesome :)

@abord1701 10 жыл бұрын

I was wondering what would be the case for a load that isn't just a rectangle or triangle, what if your load was given as w=5/3(x^2)

@aishat6121 5 жыл бұрын

You are a hero! Quick question, is singularity function AKA heaviside step function? Thank you for the videos, they are very helpful!

@aishwaryakhot9353 10 жыл бұрын

it was exceptionally good!!!!

@someshpatel7660 8 жыл бұрын

thanks bro really helpful

@johntracy6762 8 жыл бұрын

For the example that you drew at 1:42 what would the macauley function look like for w2?

@mhdadk 8 жыл бұрын

Thank you so much for your help! :)

@structurefree 8 жыл бұрын

+Mahmoud Talaat You are welcome.

@KellyLovesSeals 7 жыл бұрын

You rock structurefree

@walterspencer7524 5 жыл бұрын

I don't get it, Let's say w = M^n what does n mean and when is it used

@antiveta 10 жыл бұрын

Really thank you man

@cheungjackjackt02006 7 жыл бұрын

Very very good video. one suggestion is to add a pop filter on your microphone as the pops are sometimes distracting

@azza2794 9 жыл бұрын

Could you please explain why the moment was positive. I thought that anti clockwise moments were positive.

@broses 8 жыл бұрын

+Arun Mittal You can choose which is positive, it doesn't matter as long as you are consistent

@krishj8011 5 жыл бұрын

very useful...

@structurefree 5 жыл бұрын

Thank you!

@BostonSportsGuy567 10 жыл бұрын

you're a hero

@structurefree 10 жыл бұрын

as in a good teacher or a pseudo-superhero like ironman? I'd prefer the pseudo-superhero option. Perhaps a mild mannered shoe salesman, who has built super shoes that make him jump really high and run really really fast and wins an NBA championship. (did i just describe flubber?)

@BostonSportsGuy567 10 жыл бұрын

Obviously the latter haha!

@antonisprotopapas 8 жыл бұрын

Are singluarity functions just a different name for Macaulay's method?

@cemgneduet9651 8 жыл бұрын

+Antonis Protopapas my point exactly

@structurefree 8 жыл бұрын

+Antonis Protopapas Yes.

@splintercell275 9 жыл бұрын

THANK YOU.

@cmthgf46 8 жыл бұрын

I think there are also cases that you'll need to start from the right of the beam/shaft to the left because it's easier??

@structurefree 8 жыл бұрын

Yes.

@Muhammad0ps 8 жыл бұрын

Would be so much more of a help if you just tell us your references. and thanks a lot for the explanation. ^_^

@josephn.3996 6 ай бұрын

I love structurefree ^_^

@xAzx2 10 жыл бұрын

How do you go about finding the max deflection using these equations? Its not working out very well for me

@naysmile1566 8 жыл бұрын

Thanks u for much :D

@shirleynijayakody3976 8 жыл бұрын

So only when the beam is statistically indeterminant we use this method?

@structurefree 8 жыл бұрын

+Li Huan you could use this for statically indeterminant beams and/or in cases where you just want to find deflections.

@edinalibasic142 3 жыл бұрын

Why the exponents are -2 and -1 and so on?

@fisigagmail 11 жыл бұрын

where does the Wo/2 come from in 9:10

@Ben-oi6kz 2 жыл бұрын

structurefree for president

@hankhippopopalous5826 3 жыл бұрын

Mechanics with Quentin Tarantino.Love it

@foneperson 6 жыл бұрын

Thank you you great great man

@FazeTheon 5 жыл бұрын

can you use singularity functions if the EI isnt constant?

@noznip2008 4 жыл бұрын

does someone knows how to put singularity function in a graphing calculator? I use the angular brackets but wont let me put the power

@alanfelipi1355 7 жыл бұрын

thanks a lot!

@DytBaat 10 жыл бұрын

please show how to use this on a staticaly indeterminate beam as you mention :)

@BAWAkulkarni 10 жыл бұрын

Can you give me an example problem involving an indeterminate beam?

@structurefree 9 жыл бұрын

Peter Knudsen after you solve for all reactions using displacement or force method, you could solve for moment functions between discontinuities and integrate twice. hope that helps.

@Souliee 11 жыл бұрын

Great! ;D

@brunoquezada1486 7 жыл бұрын

I love you

@A7m7y 2 жыл бұрын

Can you please tell me what is the software you use ? And what is the device (Laptop or iPad or what ?)

@animorphage 10 жыл бұрын

thx

@rahulpurushothaman5758 11 жыл бұрын

nice!!!

@maefinalproject6031 7 жыл бұрын

Structure freeeee! I'm back lol

@suliman2o13 4 жыл бұрын

Your mic is too close to you? It's the loudest to me

@himanshupatidar8076 2 жыл бұрын

didnt get anything

@WontonSandwich 11 жыл бұрын

best

@samuelatienzo4627 5 жыл бұрын

10:06 rip headphone users

@structurefree 5 жыл бұрын

🙉ahhhhhhhhh! I didn't have the best microphone back in the days. 😭

@samuelatienzo4627 5 жыл бұрын

structurefree - man, it’s 1am (day of my mechanics exam) and I just want to say a massive thank you for saving my ass 👌👌

@structurefree 5 жыл бұрын

I hope you had a good exam. Thank you for the kind words and support. I hope you will consider subscribing!

@samuelatienzo4627 5 жыл бұрын

structurefree Just walked out of the final exam and got a question which involved step functions etc... this accounted for 50% of the marks as there was nearly 10 parts to the question. Couldn’t have done it without this video. Subscribed! ✅

@structurefree 5 жыл бұрын

Thank you!! Congrats on your exam!