Area Moment of Intertia of an I Beam.MP4

Here's how to calculate the area moment of inertia of an I beam using two different methods. They are equivalent, so you can use either one.

Пікірлер: 115

  • @Devineeno1
    @Devineeno112 жыл бұрын

    Superb explaination/teaching. If our lecturers were this good our course would take 1/3rd the time! This is possibly the greatest possitive the internet has ever brought to the world. The gift of free knowledge to anyone who's willing to take the time to learn.

  • @purdueMET
    @purdueMET11 жыл бұрын

    It's great to know that people are learning from this video. You are most welcome.

  • @bbfcbvftjn5089

    @bbfcbvftjn5089

    10 күн бұрын

    Till today mr , 13 years later

  • @AbuOmar1970h
    @AbuOmar1970h4 жыл бұрын

    Again and again, want to say thanks to the people who work at youtube . And people helpers who help educational videos like these . Thank you my brother . helpful

  • @eunicemobula4584
    @eunicemobula45844 жыл бұрын

    9 years later and this video is sitll crazy helpful! Thank you sir!!!

  • @klowranc
    @klowranc13 жыл бұрын

    You're awesome! I'm a mechie calculating the necessary structural support to handle the cyclic loading of a mounted .50 cal machine gun on a helicopter. So you students may just have to use this one day! Thanks for the refresh Professor!

  • @mikemai8568
    @mikemai85687 жыл бұрын

    It's a great video. Thank you for all your hard work to filmed and posted this video.

  • @dizrob
    @dizrob11 жыл бұрын

    This is such a great video! Please keep them up! You're helping a lot of people

  • @alexthehunt1994
    @alexthehunt199411 жыл бұрын

    Thank you, I can't even begin to explain how helpful this was!

  • @joseortega9712
    @joseortega971210 жыл бұрын

    I LOVE YOU MAN.... YOU SAVED ME LOTS OF TIME... NOW MAKES SENSE!!! THANK YOU

  • @AMadWalnut
    @AMadWalnut12 жыл бұрын

    I like the badass way he turns from the board at the beginning. Like we're distracting him from contemplating Stuff, but he doesn't care because he's so badass.

  • @mersadz3743
    @mersadz37437 жыл бұрын

    Beautiful, very good job. Thanks.

  • @razerspurs
    @razerspurs12 жыл бұрын

    really useful, much easier to understand than the wikipedia page on this subject, or anything else i've found for that matter!

  • @abbasajorloo9455
    @abbasajorloo94559 жыл бұрын

    Thanks a lot for this video. this was very helpful.

  • @HamsayT
    @HamsayT13 жыл бұрын

    Brilliant video - finally i can make sense of my lecturers notes!

  • @Moatazbahr
    @Moatazbahr12 жыл бұрын

    you're a legend!! thanks for the very informative video

  • @samniasary
    @samniasary12 жыл бұрын

    Thanks man I saw that video a couple of weeks ago. Thank you mate.

  • @MultiValentino2011
    @MultiValentino201110 жыл бұрын

    THANK YOU SIR! MABUHAY KA! (LONG LIVE)

  • @kakbar10
    @kakbar1013 жыл бұрын

    thanks alot your videos are so helpful

  • @navarchitect1
    @navarchitect112 жыл бұрын

    Thank you very much sir ..that was very helpful

  • @sebastianbidoli9693
    @sebastianbidoli96936 жыл бұрын

    You are my saviour

  • @sherazkhan2721
    @sherazkhan27217 жыл бұрын

    great work...thank u sir

  • @Stephenishere
    @Stephenishere13 жыл бұрын

    thank you for this video! :)

  • @mrhumz
    @mrhumz13 жыл бұрын

    Excellent!!!!

  • @RubyFOB
    @RubyFOB11 жыл бұрын

    THANK YOU. Totally forgot what the formula was.

  • @juZby
    @juZby13 жыл бұрын

    @juZby never mind! I managed to figure it out. Thanks again!

  • @durgacreation9232
    @durgacreation92326 жыл бұрын

    thank you sir

  • @nasteve61805
    @nasteve6180512 жыл бұрын

    Thanks, good insite.

  • @guzars123
    @guzars1237 жыл бұрын

    thanks a lot .

  • @marjopy13
    @marjopy1312 жыл бұрын

    Very useful.. you should be teaching at uni!!!! Thanks a lot for your help... =)

  • @arwaabougharib8698
    @arwaabougharib86988 жыл бұрын

    I've always wondered what the physical meaning of the moment of area is..

  • @juZby
    @juZby13 жыл бұрын

    thanks a lot for your videos, just one question: what would the distance 'd' be if the individual shapes of the centroid weren't aligned? i.e. it was more of an s shape? simply use pythagoras to find the diagonal distance? thank you

  • @brandonelliott633
    @brandonelliott63310 жыл бұрын

    Great.... but now how do you calculate the area moment of inertia about the Y-axis?

  • @stevenhamer5826
    @stevenhamer58268 жыл бұрын

    how did you work the base out to be 35mm ? should of really shown that part

  • @tallkekepink95

    @tallkekepink95

    7 жыл бұрын

    Did you ever find out how? I am still lost.

  • @tallkekepink95

    @tallkekepink95

    7 жыл бұрын

    I just found out how from a comment I read below! Its 110-40 / 2

  • @samniasary
    @samniasary12 жыл бұрын

    dude you see the gap in the middle? It's 40mm. So 40+35+35=110. He explained it at the beginning of his video. I think it's around 00:25

  • @nguyentuan1990
    @nguyentuan199011 жыл бұрын

    how did you figure out that the base of each smaller retangular is 35mm? I couldnt figure it oiut.

  • @evo1empire
    @evo1empire12 жыл бұрын

    Why did my lecturer not teach me like this at uni? life is suddenly so much easier and clearer lol

  • @bhaskarrasaily1433
    @bhaskarrasaily14333 жыл бұрын

    What about calculating moi along y-axis using 1st method??? Seems like it doesn't work.

  • @SaraSara-qj7xo
    @SaraSara-qj7xo6 жыл бұрын

    هل حل I beam ﻹيجاد moment of inertia ف محور y يختلف عنه ف محورX

  • @MarryMeSyn
    @MarryMeSyn12 жыл бұрын

    Is this the parallel axis theorem?

  • @karansharma-mb7rb
    @karansharma-mb7rb11 жыл бұрын

    In -ive method you used formula for box 2 and 3 i.e i2=i3.. 1/12bh3= 1/12 X 35 X(180)3 how 35 came??? :(

  • @tallkekepink95

    @tallkekepink95

    7 жыл бұрын

    I think the 35 came from 110-40 / 2

  • @jakehunt204
    @jakehunt2048 жыл бұрын

    Can someone please put a filled out equation for the last bit?? All i get is 1.173 x 10^10

  • @tallkekepink95

    @tallkekepink95

    7 жыл бұрын

    (5.867*10^5+(110)^2(4400))+(1.944*10^7+(0)^2(7200+((5.867*10^5+(110)^2(4400)) = 1.271*10^8 :) Hope I helped! xD

  • @azharmohammed0
    @azharmohammed012 жыл бұрын

    sun of a gun lol

  • @jon4156
    @jon415613 жыл бұрын

    No disrespect intended, but I find this instructor confusing. For example, he erased the dimensions for length of the I-beam in boxes 1 and 2, then drew the dimensions for the centroid distances which happen to be the exact same number (110mm). He next calculates "I" which uses "b" (110mm), but the diagram on the board shows 110mm as "d". Please make sure your diagram shows the numbers FOR THE EQUATION you are calculating.

  • @noahkaiba
    @noahkaiba12 жыл бұрын

    Why is the Purdue MET department so much better at teaching than the Purdue ME? I learned this through Purdue ME teachers, and they suck!

  • @samirakavezah9043
    @samirakavezah9043 Жыл бұрын

    Nice but music or musical instruments aren't advisable in islam let's avoid it God willing

  • @acoti
    @acoti11 жыл бұрын

    I really appreciate this video. You are clear, concise and don't make any assumptions about what we already know when explaining this. Thank you.

  • @Tigeress8482
    @Tigeress848212 жыл бұрын

    Needless to say, that was great and very helpful, thanks! Way better than trying to decode the practical meaning of Wiki formulas.

  • @purdueMET
    @purdueMET11 жыл бұрын

    Super. You are most welcome. It is one of the little joys of my life to get messages like your and to know that these videos are helping.

  • @PSPx5000
    @PSPx50009 жыл бұрын

    Great explanation! You're better than my university professors

  • @Xaldinwinddude
    @Xaldinwinddude11 жыл бұрын

    Thank you again! i've watched multiple videos of yours and you've helped to explain alot. Someone was doing negative area method and I had no idea what they were doing until I watched this

  • @patricksoderborg7933
    @patricksoderborg793311 жыл бұрын

    Clarity at it's best! Thanks!

  • @Atlethehun
    @Atlethehun10 жыл бұрын

    Great thanks for taking the time to make this video - very helpful!

  • @purdueMET
    @purdueMET11 жыл бұрын

    Thanks very much. I'm really pleased to hear that the videos are helping you.

  • @Ipally2601I
    @Ipally2601I12 жыл бұрын

    You have helped me so much! Keep these videos coming please!!!!

  • @purdueMET
    @purdueMET11 жыл бұрын

    You're most welcome. If you like these videos, please help spread the word. Counting hits on my KZread channel seems to be one of my hobbies :-)

  • @mettecharlottejensen6947
    @mettecharlottejensen69477 жыл бұрын

    Eminent..;)) You have the super skill of making it seem so easy... By simply translating the professional terms into words we already know...;)) THANKS...!!!

  • @purdueMET

    @purdueMET

    7 жыл бұрын

    Wow, thanks. I'm glad the videos are of help to you :-)

  • @mettecharlottejensen6947

    @mettecharlottejensen6947

    7 жыл бұрын

    ..;)) So now I dare asking you...; have you made any videos on 'relative efficiency of various Beam Shapes', 'deflections on beams', 'Shear Formula' and 'beams with axial loads'. I'm studying for my exam in Mechanics (Litt.: 'Mechanics of Materials'), and it happens to be that out teacher is unable to 'really teach'... Your videos are helping me a lot..;)) THANKS...!!!

  • @TheBetterRyanKelly
    @TheBetterRyanKelly11 жыл бұрын

    These videos are amazing, I go to Binghamton University and it's difficult sometimes to understand my professors, you articulate each and every part of an equation in plain English and make me feel dumb for not understanding it the first time around! (I mean that in the nicest way possible) Thank you.

  • @MixTheMeister
    @MixTheMeister12 жыл бұрын

    Your videos are amazing! Thank you so much!

  • @torthetori
    @torthetori8 жыл бұрын

    excellent job, very clear explanation.

  • @seanfogarty211
    @seanfogarty2117 жыл бұрын

    Excellent explanation. Thanks a lot!

  • @purdueMET

    @purdueMET

    7 жыл бұрын

    You're most welcome. If you like the videos, please spread the word. I'm trying to keep my boss happy :-)

  • @miad1212
    @miad121211 жыл бұрын

    I wished we had a teacher like u here!

  • @Kurohamiy
    @Kurohamiy11 жыл бұрын

    Thank you so much ! This helped a lot

  • @imstudentxxxxx
    @imstudentxxxxx10 жыл бұрын

    very good video! thanks!!

  • @Things4Free-Things4Free
    @Things4Free-Things4Free9 жыл бұрын

    Thanks a lot,Sir!

  • @madman1452
    @madman145213 жыл бұрын

    great vid. keep it up!

  • @WGPJayasinghe
    @WGPJayasinghe12 жыл бұрын

    Thank you so much for this help..!

  • @amandastark10
    @amandastark1011 жыл бұрын

    Thank you so much! I might not fail my statics final because of you! =]

  • @kaps1308
    @kaps130810 жыл бұрын

    very good explanation sir thanks you very much

  • @REMOV28
    @REMOV2810 жыл бұрын

    thanks, super helpful

  • @nakas12ify
    @nakas12ify12 жыл бұрын

    Thank you so much!!

  • @purdueMET
    @purdueMET11 жыл бұрын

    Sorry for the late response. This is indeed the parallel axis theorem. It works for mass moment of inertia as well.

  • @Vathanaization
    @Vathanaization8 жыл бұрын

    Thank you very much.

  • @aliourangiasr8066
    @aliourangiasr806610 жыл бұрын

    Thank you very much sir

  • @AtelierFleur
    @AtelierFleur8 жыл бұрын

    Thank you!

  • @anupam25091987
    @anupam2509198710 жыл бұрын

    sir , thank you so much for the lecture, it helped me a lot . Can you please upload (or do you have ) a video explaining the moment of area of thin walled sections ?

  • @finnersz
    @finnersz11 жыл бұрын

    just what i needed for my mechanics exam tomorrow

  • @OlimpiuVictor
    @OlimpiuVictor13 жыл бұрын

    Hello dr. French ! My name is Victor and i'm studying Civil Engineering in Romania. Your videos are amazing . i was wondering if you could explain the Jurawsky and Navier deduction formula. I never understood from my teachers. I will appreciate it ! Please keep upload this good work because your videos are very helpful! Thank you , Victor

  • @hanoosh1100
    @hanoosh110012 жыл бұрын

    Hello can you do a video on working out the centroid and second moment of area for a 'C' shape . Thanks a lot

  • @A-R53
    @A-R534 жыл бұрын

    May Allah bless you sir 🌼🌺🌸🌺🌼🌺🌸🌺🌼

  • @cerialkillar
    @cerialkillar12 жыл бұрын

    (110-40)/2 = 35 The whole lenght - the lenght of the beam and then devide by 2 because there are two sides

  • @shazrinyusof8550
    @shazrinyusof855010 жыл бұрын

    thank you sir for your explanation. but, i have a question sir. when i calculate my moment of inertia, i use the subtraction method where my I= 1/3 bd^3 . is this method applicable for all types of questions?

  • @TheSpyker123
    @TheSpyker12312 жыл бұрын

    hi im from south Africa great class you really helped me allot. can i just please ask you a favor is there maybe a way that you can rename your clips according to chapters or nr the clips according to topics cause im battling to figure out where the videos start . once again thanks so much really helpfull

  • @dayxwalker
    @dayxwalker12 жыл бұрын

    Thanks nice and clear . Only bit I am not sure on is you did not seem to use A in the first method ? You only added I (Inertia) and missed A (Area). I know that d=0 as the centriods are the same just not sure what happended to the A. But thanks anyway will just use the second method

  • @3rbdh
    @3rbdh13 жыл бұрын

    you have taken the hard way to that easy problem, i'm skeptical if u were reading while doing this. anyway

  • @villy8778
    @villy877813 жыл бұрын

    Thank you so much. Where were you in my first year?

  • @prashantmali02
    @prashantmali027 жыл бұрын

    hello sir i have read somewhere that for same area the "stepped i section" has more strength than that of simple " i section " is it true...?

  • @shaf1ke
    @shaf1ke12 жыл бұрын

    hey guys im a bit confused here, this is second moment of area about the neutral axis(centroid) right? say there was a X-X axis at the bottom of the I-shape, to find the second moment of area about the X-X axis, do you use parallel axis theorem? thanks

  • @i_am_soumya_-_3748
    @i_am_soumya_-_37487 жыл бұрын

    sir can u plx show us how to calculate the moment of inertia of an irregular shaped cast iron beam

  • @MrMarvelCraft
    @MrMarvelCraft9 жыл бұрын

    3:44 "about the x-axis since those have the same altitude d is 0 for all 3" they have the same altitude on the Y AXIS not the X AXIS so have you just been fortunate and your mistakes cancelled out anyway or are you working out inertia about y instead?

  • @yongwu1226
    @yongwu12264 жыл бұрын

    how to calculate the second moment area about minor axis

  • @NXTMusicianBassist
    @NXTMusicianBassist12 жыл бұрын

    No. This case was special because we knew I1 and I3 were equal. In the case you mentioned you would have to figure it out separately.

  • @jkf1192
    @jkf119212 жыл бұрын

    what if the lower section of the beam is wider, is I1 still going to be equal to I3 ?

  • @ajcraig99
    @ajcraig9912 жыл бұрын

    you need to draw a bending moment diagram. i believe he has made a video addressing this.

  • @samniasary
    @samniasary12 жыл бұрын

    What if we have to get the maximum bending stress?

  • @japedemino5850
    @japedemino585010 жыл бұрын

    whats the difference between second moment of inertia for bending moments (I) and polar moment of inertia for Torque (J)?

  • @ahsonreza4553

    @ahsonreza4553

    9 жыл бұрын

    jape demino polar moment is moment of inertia around x axis + moment of inertia around y axis i.e.: Ix+Iy , hope that helped.

  • @ksdnsdkumar1375
    @ksdnsdkumar13755 жыл бұрын

    @5:57 how base is 35? please somebody explain.

  • @MSavagePill
    @MSavagePill12 жыл бұрын

    How did he get 35mm? can someone please explain. Thanks.

  • @TheCSSoup
    @TheCSSoup12 жыл бұрын

    where did the 35 come from? 110/3 = 36.6 ? not 35?

  • @GBizzleism
    @GBizzleism12 жыл бұрын

    @jon4156 To be fair he has limited board space and you could just not be ridiculously lazy and re-wind the video to see the dimensions at the beginning.

  • @divyak601
    @divyak6017 жыл бұрын

    sri the beam is symmetric the location of centroid is centre that i mean the value is d=130 , not 110 mm

  • @N62MajorBlast

    @N62MajorBlast

    7 жыл бұрын

    110mm is the distance of the centroid of both the top and the bottom rectangle from the centroid of the entire shape. it is NOT the distance from the edges of the top and bottom rectangles. the missing 40mm is the sum of the distance of the centroids of the top and bottom rectangles from their edges. The only number we need to take note of is the distances of the centroids.

  • @tallkekepink95

    @tallkekepink95

    7 жыл бұрын

    I was confused on that part too. So basically he just did 260 - 40 / 2 which gives you 110 right?