Understanding the Area Moment of Inertia

[@maliakbulut]

Why square of distance? Why we multiply dA with sqaure of distance? What is the physical meaning of square of distance here ?

[@shashankmohan8422]

If we do not take squared distance, some integrals give out zero. This is practically not possible ie it cannot have zero resistance to bending.

[@maliakbulut]

@@shashankmohan8422 Hmm that makes sense. But then, can we say that any even power of the distance will be ok 2, 4 or 6?

[@jamjamme]

dA's contribution to the bending moment about the neutral axis is the tensile stress on dA times the distance between dA and the neutral axis. The tensile stress equals Young's modulus times the tensile strain. For limited curvature, so when no plastic deformation takes place, the strain at dA is linearly proportional to the distance to the neutral axis. So in the contribution to the bending moment the distance has a squared influence, one time as the "length of the lever" and one time because the local strain in bending is linearly dependent on it.

[@TheEfficientEngineer]

Excellent explanation, thank you Jaap. I should have mentioned this in the video. I will pin this comment to the top.

[@er.deepakpatil5140]

@@jamjamme nice sir.

[@beatrizremigio9192]

Anybody can understand engineering, all it takes is a good teacher!

[@sbsanni]

@allen thompson Honesty you spoke my mind

[@akashmew]

@allen thompson similar feeling mate

[@ipodtouch470]

@allen Thompson honestly I feel so grateful for having a good engineering professor. He always focused on making sure you understood the subject intuitively and the effects it would have in the real physical world, then he would introduce the math. Even then he would still say this " remember these math equations are simply an attempt to model the real world, remember to do external testing to make sure everything goes a planned".

[@sbsanni]

@@ipodtouch470 I did have a lecturer like that too in my final year, but he was only one lecturer(may be another one too) out of all the lecturers I came across- the odds suck.

[@babajungLA]

@allen Thompson That's because most professors never worked in the "real world" they most probably spent all their life in school deriving equations to earn their PhD's and therefore can never trace any engineering concept to real world application and tend to focus on the derivation and math. It's so frustrating and honestly they make a lot of students lose interest in the first year itself.

[@jetjagaur2110]

Even though I graduated with a bachelor's in MechE I felt like we were always rushing to cover material that I never developed the intuition on this topic. Thank you for filling in that I-beam hole!

[@nayahejazi7668]

yes. most professors worry more about rushing through to finish talking about all required subject in the big book instead of actually making sure students are getting it or not.

[@Erowens98]

Yeah. University has in my opinion too high a pace. If we had a few less useless filler courses we'd have time to actually focus on stuff important to an engineer like this. In most cases in uni, you see an equation once and are expected to understand it completely and be able to adapt it to any situation. Without anyone ever explaining why the equation is what it is. Heck, half the time they don't even tell you what the variables are. You could say, you're being told what you need to go learn for yourself. Instead of being directly taught the subject.

[@UziMusic]

@@Erowens98 Our uni is overly fast pace, it has attempted 2 units per 6 week terms and it has failed, however, I take a quick note on anything that interests or needs solid attention, smash the unit out and teach myself later over summer etc.

[@raphaelwong8181]

This man is the 3Blue1Brown of engineering concepts. The clear and concise explanations, coupled with excellent animations makes me remember why engineering is so great!

[@manumukherjee7715]

Oh yes!!

[@Raju-jb3sk]

What is 3 blue 1 brown mate

[@abhinavk0929]

he's a mathematics youtuber@@Raju-jb3sk

[@nilsandresen9912]

@@Raju-jb3sk It's another youtube creator covering math centered topics..great quality content

[@alameen3480]

Only someone who truly understands a subject can explain it in simple terms, and I believe you are one of those people. Thank you.

[@yogasciencemusic]

In my lifetime I have never seen such a good illustration for teaching engineering subjects. Amazing job. Please keep posting more videos. I personally love it so much. Many thanks! 👍✨

[@Structural_analysis]

Properties of Plane areas kzbin.info/www/bejne/fZuzoX-MebtpqsU

[@deesesarte]

The result of combining engineering, arts, esthetics, didactics, 3D modeling, rendering, virtual animation and video editing... Something this good engineer understood and took the time to develop it...

[@noahbrown3066]

the fact that i spent four hours pulling my hair out over this at uni and gave up for the day, and in 11 minutes i now feel like i understand. all i can say is thank you!

[@mohitdeshpande6210]

I don't think I could've found a better online teacher for Mechanical subjects than you! The material you have provided is simply amazing, thank you very much! :)

[@JA-yi8bs]

Another classic case of a single KZbin video simply summing up a whole semester of university. Great content mate!

[@ryanbolen9676]

Thank you for providing such clear explanations of engineering topics. The comments are right: THIS IS HOW ENGINEERING SHOULD BE TAUGHT! I've had 3 hours of lectures and read 2 textbooks on this topic and I didn't really understand it until I watched your 11-minute video. The same is true for your videos on Shear Force & Bending Moments and Understanding & Analyzing Trusses. These are clear, concise, and understandable. Just in time for summer finals, too! Honestly, thank you!

[@TheEfficientEngineer]

Glad you enjoyed the videos Ryan! Good luck with the finals!

[@Danielagostinho21]

I feel so bad for giving so much money to college and none for you :(

[@TheEfficientEngineer]

Haha, well if you want a clear conscience you can always support the channel on Patreon! www.patreon.com/efficientengineer. Glad you like the videos in any case!

[@shriharir6450]

@@TheEfficientEngineer you should prolly start an intitute or smthin!! Or maybe you can advertise your content nd editing skills to colleges. Both the world and you can greatly benifit from your works!

[@tarunce995]

Same thoughts on myside too!!

[@HarshRajAlwaysfree]

the colleges really be scamming us at this point

[@deesesarte]

The result of combining engineering, mathematics, arts, esthetics, composition, color theory, didactics, 3D modeling, rendering, virtual animation and video editing... Something this good engineer understood and took the time to develop it... Cheers from an architecture student!!

[@0501245]

What a wonderful! Happy to see someone dedicated to the principle of engineering . Keep it coming

[@RahulJain-ls5st]

This is how Engg should be taught

[@mrp9404]

so true

[@rajankhanal4220]

You are right

[@brunao_matoss]

Yeah. In 10 minutes this guy explained better than a lot of people fails trying to explain in hours. I get everything, and I dont even speak english

[@maxwellsequation4887]

Yaa that is how Engineering because they don't care about the question""WHY?""

[@jimmycharles7797]

Just wow!!!

[@understandcivilengineering5654]

Like I said before this channel is the GOAT (greatest of all time) when it comes to engineering tutorials, and gives me inspiration everyday. The graphics really help in getting the concept. Maybe you can do a video concerning steps for designing a beam using ACI code

[@steveschein2619]

Back in the day while taking my electrical engineering core courses we were required to take things like statics and dynamics. It's really too bad that my professors didn't provide such basic instructions and insight. I may not have taken so long to figure out what on earth they were talking about! Keep up the good work.

[@ThePhilFella]

4 years of structural analysis for a Civil Engineering degree, and this is the first time I actually understand area moment of inertia. :)

[@mugishalionel2003]

there is a saying of Albert Einstein that says ''if you cant explain it simply u dont understand it well enough'' I hope u can understand why Teachers get hard time to explain sth very simple like these. Thanks for this video, I now understand things that I learnt 2 years ago just within some minutes with simply explanations.

[@gavins9846]

Yup. Too true. Either that or they're extremely smart -- since people like those never struggle, and never had a need to break down things any further. But still, anyone should be able to give a direct, concise explanation. They're the best! because there's no room to hide in just the details you're most familiar with.

[@HanSolo-jo5tc]

This channel is a blessing for all the aspiring Mechanical engineers.

[@BadmaashLegend]

Formulas: 2:46 Area Moment of inertia 5:00 Parallel axis theorem 7:20 Area MOI vs Mass MOI 9:34 Perpendicular Axis Theorem 10:13 Rotation of Reference Axis

[@andrenedaei965]

What a great video. Summarizing at least 100 pages of solid mechanic books in 11 useful and valuable minutes is just beautiful.

[@Listener970]

Just randomly suggested by KZbin and this is an awesome engineering channel. Keep up the content.

[@promithaldar2330]

Being a student of IIT G and going through a rigorous ME course ,your videos helped me develop a practical sense to these things

[@neroddragon]

ENG + Graphic Design = OutOfThisWorldLearning 11 min video > 2 hour lecture. Thank you for this, your amazing.

[@timondalton8731]

You are the engineering equivalent to 3blue1brown. These videos are phenomenal and definitely saved me (as well as many other viewers) many hours of trying to understand this material.

[@RocaSeba]

One of the best engineering channels, very glad i found you. Great video!

[@muhammadalishah6899]

Damn, I feel so lucky to be born in this era when we have such amazing channels!

[@kjessee92]

With everything done with computers for thirty years, or more. It’s nice to have your lectures for a refresher!

[@Structural_analysis]

Properties of Plane areas kzbin.info/www/bejne/fZuzoX-MebtpqsU

[@majidhussain2350]

Love these concept. Even after engineering don't know exactly the real story and logic behind these concept. Thank you so much ❤️💖

[@Vyantri]

This guy is the 3blue1brown of mechanical engineering. Words can't express how much appreciation I have for these videos.

[@ishmael4489]

This explains an hour-long lecture in 11 minutes, and clearly. Thank you!

[@Structural_analysis]

Properties of Plane areas kzbin.info/www/bejne/fZuzoX-MebtpqsU

[@saisrirajnallam]

dear sir , your presentation and explanation were really awesome, this is what exactly students are expecting from you i request you to please make a video on thick cylinders by showing the variation of pressure, hoop stresses . from inside to outside as well as from of side to inside. take cases of both external pressure and internal pressure i hope you will be making video on thick cylinder also..

[@sameerprajapati9467]

The most helpful video for engineer. Such kind of stuff are always appreciated in engineering domain.

[@easy-math-vn]

This channel is so clear and comprehendable. Must be my new favorite channel on youtube

[@kentayagi9530]

I've been wanting to understand this topic for quite some time now but no video came close to the visuals and explanations such as this one! At first, I was confused about the importance of the area moment of inertia and the meaning of the the radius of gyration (since no videos had great explanations about the topic) but after watching your video, it makes it easy to understand! Thank you! I highly recommend this to anyone wanting to understand the topic!

[@victorarmandoportillayupan1681]

This is the Best Video I've ever seen about Area Moment of Inertia. This is the Best explanation ever!! Congratulations, greetings from Perú 😎

[@2011jdp]

Your videos are efficient and well-organized. Anyone can easily see the time put into them. The visuals are very well done. Thanks for the help, reviewing for my FE exam.

[@Notsosarcastic02]

Our mechanics teacher showed us this video in class to help us understand this concept more clearly, the teaching is to the point and it clears the concept very quickly !! New subscriber here 🤝

[@kicktakerzofficial]

Moment of Inertia has always been my loophole in Mechanical Engineering. Thanks a lot.

[@Structural_analysis]

Properties of Plane areas kzbin.info/www/bejne/fZuzoX-MebtpqsU

[@carultch]

Which kind of moment of inertia? The kind with units of meters^4 that has nothing to do with inertia, or the kind with units of kg-meters^2, whose name actually makes sense for what it means?

[@RedWither04]

@@carultch inertia means resistance to change, in this case bending. we also have thermal inertia

[@HumbleHoopties]

I'm a beginner civil engineering student; this is my new favorite channel!!!

[@vitoleskur]

Please continue making more videos. I clutched my previous semester because of your simple and very well edited explanations.

[@Vyantri]

I took this course in the year 2018. It was called maths 142 and even now I feel it was one of the hardest courses of the whole degree (mechanical engineering obviously). This video was uploaded in 2020. If I had it in 2018, it surely would have helped me so much but I'm just glad that this contribution to humanity is here now.

[@sebronhiob7664]

the blessing to mankind (Civil and Mechanical Engineers)..God bless you man

[@MarvelSpiderFan]

You are explaining much better then I have ever seen someone to explaining

[@Pauldyke]

Wow, I’m glad I found your channel. Amazing contents, good visual presentation 💯

[@utanisryo7074]

You explained a semester worth of lecture in a single video. And BETTER!

[@YogavenkatanarayananG]

Out of the World Explanation! Never knew that this concept is such an interesting piece. Thanks for the explanation!!

[@ichione732]

Legit this should be shown to everybody that tackles the centroid and moment of inertia lessons of the statics course! I just now learned that seeing an animation or understanding conceptually and intuitively is important before you even try to use the formulas in the text books. Or maybe im just not able to visualize how tf will there be a moment in a cross section. But this video taught me that, i cant thank u enought

[@marcozacarias1675]

Oh god, I miss these classes so much from school. Absolutely love all these subjects. Great videos

[@ranjanhs3453]

This is the best video I have found for moment of inertia. Best explanation, best animation.

[@melgigz178]

I understand you better than my professor. I was struggling with the way he teaches it but you help me understand it clearer now.

[@genie9262]

Preparing for an exam and you just summarized a whole topic in 11mins ...Thank you ❤

[@tarunce995]

I am truly deeply greatly thankful to you for making these videos & channel. All of my concepts, understandings & most importantly my reasons of studies & using formulae have been getting cleared. Really A true teacher is what we needs.

[@laincalvo9661]

Man, thanks for making this kind of videos, it helps a lot. This year in my college the Static and Material´s Resistance´s teacher say he can't go to classes cause of covid and the only work he does is to send a mail telling us what to study from a book whose author is he. He doesn't explain anything and his book is terrible. Thank you man because you are saving a lot of students who make their best effort but some teachers seem to hate teaching.

[@amansartaz5864]

I can undoubtedly claim that this is the best KZbin channel for people who married to engineering.

[@arbabraiyan8200]

I wish classes could teach like this in such a colorful and lucid way.. keep up the good work man

[@iordanispolatoglou8122]

Great videos! You explain very clearly and in simple terms engineering theories. So much better than expensive university courses.

[@hakeemcanonio3840]

My confusion with different MOI's is now settled, never cracked this in my undergraduate days. I wish I can support you more. Thank you very much!

[@JoshuaAmmon]

Best video i have seen on this topic so far. Great job.

[@AndrewBossert]

It's like you took everything out of Chapter 10 of Russell C. Hibbeler's textbook and actually explained what the hell it meant 😂 Thank you so much for this!

[@wesalnawabi9396]

Russell is real engineer

[@ibrahimnasr5585]

the best explanation have ever seen yet for moment of inertia

[@rashelahamed6979]

When I saw this video I felt how much important a good teacher for engineering... Great sir.

[@isabelledc9542]

Thank you very much. you have no idea how your videos are helping me now. Keep up the great work. thank you from Brazil.❤️❤️❤️

[@emccox3]

You answered the exact question I was trying to understand while I cram for my Mechanics of Materials exam. Thanks.

[@rkpixelverse6945]

Till now the best detail and descriptions of these topics found on internet. Animations superb. Clarify every aspect and helps me to understand better. I need more of theses videos. U r doing the best job. Plz keep uplaoding more. God bless

[@mihininja]

Oh my god thank you so much! I have an exam on this exact topic in 3 days and the lecture notes for this are abysmal and poorly explained. After watching this video I feel much more confident with this topic! Keep up the brilliant videos, god bless!

[@thakursaab4050]

Please keep posting more engineering topics. Your explanation and illustration is just to the point. Amazing.

[@mechanicalengineerresearch9685]

Your video-quality is off the charts. Brilliant!

[@joswarbellidorosas3956]

I have never learned that much in 11 minutes!! thank you so much!!!

[@RRC5074]

Wow, I understood in 11 mins what I had been trying to wrap my head around for 4 years of my bachelor's. Thank you so much

[@Structural_analysis]

Properties of Plane areas kzbin.info/www/bejne/fZuzoX-MebtpqsU

[@TheChiteau]

Wow best illuustration of Moment of Inertia. Mechanics should be taught this way right for every beginners.! Thanks

[@hsbnworld]

I've never seen such a wonderful explanation,U have really soul of a engineer, I'm your big fan & appreciated your tutorial way. I'll share your channel to my all students & friends.

[@신준식-q4c]

Great animation. Before, I did not really understand about its real concept, and just memorized the formula. It really helps me to understand about moment of inertial visually. Thanks from Korea.

[@ashutron]

Amazing explanation Couldn't have understood it properly without you Thanks a lot

[@ray-xr8wp]

This the best lecture on MOI on you tube. Thankyou sir

[@Ninjacat9000Ilovebigfloppa]

Thank you for uploading in these hard times

[@drury2d8]

This gentleman and his team are a blessing to humanity.

[@camilleflores2340]

This video makes it very easy to understand the principles of inertia. Especially with the diagrams that show how bend ability goes into the moment area of inertia.

[@khaledelhoushi8834]

Very easy video to understand. This video can be understanded by a young teenager. Good Job, this video is truly made by an efficient Engineer.

[@user-cn8kt2vp2t]

Thank you so much! youre videos condense a confusing 1 hour lecture into a simple 10 minutes

[@TheBabylixie]

You are saving my life, thank you thank you thank you !

[@saiprasadsatya3677]

You explanation and way of presentation is unbelievable

[@staristo2355]

Instant sub! These videos take enormous effort and provide tons of value.

[@mohanbabupm5778]

I am emotionally attached to your genious of teaching genius makes hardest of things simply comprehensible that is what you are imparting in your excellent videoc thank you perennially same to KZbin authorities

[@kalampariyar8000]

I really do appreciate efforts to make this video of this level! Thanks The Efficient Engineer!

[@Structural_analysis]

Properties of Plane areas kzbin.info/www/bejne/fZuzoX-MebtpqsU

[@Scrumciousluis]

Never understood this in college so just memorized the formulas but this video helped me understand it very well. Makes a lot of sense! Thank you!

[@XyBeatZHipHopInstrumentals]

Ok Ok . The work put in this video and the explanation is quite good ... You got my respect ! Even though I have no idea why I am watching this now because I have learned these years ago ... Is just so pleasing to watch these animations . I wish I had these when I first learn these concepts . I had to imagine everything in my mind ... Good work !!! Keep doing what you do !

[@vupadhyay343]

This is a nice represented & well explained video on the concept ....THANK YOU & hope you guys deliver more.

[@dareleven]

why am I watching this I already graduated just kidding, it got recommended and I thought it might be good to test my existing knowledge. awesome vid btw!

[@레이놀즈수]

I've learned these contents and I'm learning again. I am glad that it will be of great help in learning in the future.

[@wassunoor8678]

I wish you were our teacher . You are excellent teacher. Please cover basics concept along with its practical significance like you did in the beginning of the video. Editing, Presentation , explanation and voice all on point. I really enjoyed the video. Thank you so much sir!

[@fernandomanfrinalves5289]

I really appreciate the effort that you put on every presentation you make. You're bringing good content as always. Thank you to share such wonderful knowledge.

[@theeliteengineer6966]

Finally, I have understood intuitively the meaning of radius of gyration. Thank you for the great video.

[@nizamieminov3648]

Subscribed instantly. Amazing , short , informative . Fantastic job. Please upload more often. THANK YOU.

[@sameerprajapati9467]

Tougher topics are toughed in the simplest and smoother manner. With proper explanation, formulation and with best visualisation.

[@Jaymac720]

I took a strengths of materials class last year, and I’m currently taking a lab and the subsequent structural analysis class. Never has this made more sense to me

[@gr2687]

Why cant we have a teacher like you! Incredibile work

[@griot444]

Super helpful!!! Also, love the background music. The beat drops as my mind is getting blown

[@MegaMuhammad2000]

Astonishing graphics Great content Superior explanation Perfect

[@aakashjana6225]

a few hours before the exams this was the video i needed to finally make sense of those hour long lectures I had not understood at all.