Area Moment of Intertia of an I Beam.MP4

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purdueMET

purdueMET

13 жыл бұрын

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
@Devineeno1 12 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
@purdueMET 11 жыл бұрын
It's great to know that people are learning from this video. You are most welcome.
@bbfcbvftjn5089
@bbfcbvftjn5089 29 күн бұрын
Till today mr , 13 years later
@AbuOmar1970h
@AbuOmar1970h 4 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
@AMadWalnut
@AMadWalnut 12 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.
@klowranc
@klowranc 13 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!
@eunicemobula4584
@eunicemobula4584 4 жыл бұрын
9 years later and this video is sitll crazy helpful! Thank you sir!!!
@alexthehunt1994
@alexthehunt1994 11 жыл бұрын
Thank you, I can't even begin to explain how helpful this was!
@mikemai8568
@mikemai8568 7 жыл бұрын
It's a great video. Thank you for all your hard work to filmed and posted this video.
@dizrob
@dizrob 11 жыл бұрын
This is such a great video! Please keep them up! You're helping a lot of people
@joseortega9712
@joseortega9712 11 жыл бұрын
I LOVE YOU MAN.... YOU SAVED ME LOTS OF TIME... NOW MAKES SENSE!!! THANK YOU
@razerspurs
@razerspurs 12 жыл бұрын
really useful, much easier to understand than the wikipedia page on this subject, or anything else i've found for that matter!
@mersadz3743
@mersadz3743 7 жыл бұрын
Beautiful, very good job. Thanks.
@HamsayT
@HamsayT 13 жыл бұрын
Brilliant video - finally i can make sense of my lecturers notes!
@MultiValentino2011
@MultiValentino2011 10 жыл бұрын
THANK YOU SIR! MABUHAY KA! (LONG LIVE)
@Moatazbahr
@Moatazbahr 13 жыл бұрын
you're a legend!! thanks for the very informative video
@samniasary
@samniasary 12 жыл бұрын
Thanks man I saw that video a couple of weeks ago. Thank you mate.
@abbasajorloo9455
@abbasajorloo9455 9 жыл бұрын
Thanks a lot for this video. this was very helpful.
@arwaabougharib8698
@arwaabougharib8698 8 жыл бұрын
I've always wondered what the physical meaning of the moment of area is..
@kakbar10
@kakbar10 13 жыл бұрын
thanks alot your videos are so helpful
@brandonelliott633
@brandonelliott633 10 жыл бұрын
Great.... but now how do you calculate the area moment of inertia about the Y-axis?
@juZby
@juZby 13 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
@nguyentuan1990
@nguyentuan1990 11 жыл бұрын
how did you figure out that the base of each smaller retangular is 35mm? I couldnt figure it oiut.
@navarchitect1
@navarchitect1 12 жыл бұрын
Thank you very much sir ..that was very helpful
@sebastianbidoli9693
@sebastianbidoli9693 6 жыл бұрын
You are my saviour
@juZby
@juZby 13 жыл бұрын
@juZby never mind! I managed to figure it out. Thanks again!
@sherazkhan2721
@sherazkhan2721 8 жыл бұрын
great work...thank u sir
@RubyFOB
@RubyFOB 11 жыл бұрын
THANK YOU. Totally forgot what the formula was.
@SaraSara-qj7xo
@SaraSara-qj7xo 6 жыл бұрын
هل حل I beam ﻹيجاد moment of inertia ف محور y يختلف عنه ف محورX
@bhaskarrasaily1433
@bhaskarrasaily1433 3 жыл бұрын
What about calculating moi along y-axis using 1st method??? Seems like it doesn't work.
@mrhumz
@mrhumz 13 жыл бұрын
Excellent!!!!
@Stephenishere
@Stephenishere 13 жыл бұрын
thank you for this video! :)
@MarryMeSyn
@MarryMeSyn 12 жыл бұрын
Is this the parallel axis theorem?
@nasteve61805
@nasteve61805 12 жыл бұрын
Thanks, good insite.
@stevenhamer5826
@stevenhamer5826 8 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
@durgacreation9232
@durgacreation9232 7 жыл бұрын
thank you sir
@guzars123
@guzars123 7 жыл бұрын
thanks a lot .
@samniasary
@samniasary 12 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
@marjopy13
@marjopy13 12 жыл бұрын
Very useful.. you should be teaching at uni!!!! Thanks a lot for your help... =)
@jakehunt204
@jakehunt204 8 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
@karansharma-mb7rb
@karansharma-mb7rb 11 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
@evo1empire
@evo1empire 12 жыл бұрын
Why did my lecturer not teach me like this at uni? life is suddenly so much easier and clearer lol
@noahkaiba
@noahkaiba 12 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!
@jon4156
@jon4156 13 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.
@azharmohammed0
@azharmohammed0 12 жыл бұрын
sun of a gun lol
@samirakavezah9043
@samirakavezah9043 Жыл бұрын
Nice but music or musical instruments aren't advisable in islam let's avoid it God willing
@acoti
@acoti 11 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.
@purdueMET
@purdueMET 11 жыл бұрын
You're most welcome. If you like these videos, please help spread the word. Counting hits on my KZfaq channel seems to be one of my hobbies :-)
@purdueMET
@purdueMET 11 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.
@Tigeress8482
@Tigeress8482 12 жыл бұрын
Needless to say, that was great and very helpful, thanks! Way better than trying to decode the practical meaning of Wiki formulas.
@PSPx5000
@PSPx5000 9 жыл бұрын
Great explanation! You're better than my university professors
@Xaldinwinddude
@Xaldinwinddude 11 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
@purdueMET
@purdueMET 11 жыл бұрын
Thanks very much. I'm really pleased to hear that the videos are helping you.
@patricksoderborg7933
@patricksoderborg7933 11 жыл бұрын
Clarity at it's best! Thanks!
@purdueMET
@purdueMET 11 жыл бұрын
Sorry for the late response. This is indeed the parallel axis theorem. It works for mass moment of inertia as well.
@Atlethehun
@Atlethehun 10 жыл бұрын
Great thanks for taking the time to make this video - very helpful!
@TheBetterRyanKelly
@TheBetterRyanKelly 11 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.
@mettecharlottejensen6947
@mettecharlottejensen6947 7 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...!!!
@Ipally2601I
@Ipally2601I 12 жыл бұрын
You have helped me so much! Keep these videos coming please!!!!
@torthetori
@torthetori 8 жыл бұрын
excellent job, very clear explanation.
@MixTheMeister
@MixTheMeister 12 жыл бұрын
Your videos are amazing! Thank you so much!
@miad1212
@miad1212 11 жыл бұрын
I wished we had a teacher like u here!
@seanfogarty211
@seanfogarty211 7 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 :-)
@hanoosh1100
@hanoosh1100 12 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
@imstudentxxxxx
@imstudentxxxxx 10 жыл бұрын
very good video! thanks!!
@Things4Free-Things4Free
@Things4Free-Things4Free 9 жыл бұрын
Thanks a lot,Sir!
@anupam25091987
@anupam25091987 11 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 ?
@amandastark10
@amandastark10 11 жыл бұрын
Thank you so much! I might not fail my statics final because of you! =]
@yongwu1226
@yongwu1226 4 жыл бұрын
how to calculate the second moment area about minor axis
@shaf1ke
@shaf1ke 12 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
@prashantmali02
@prashantmali02 7 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...?
@madman1452
@madman1452 13 жыл бұрын
great vid. keep it up!
@Kurohamiy
@Kurohamiy 11 жыл бұрын
Thank you so much ! This helped a lot
@finnersz
@finnersz 11 жыл бұрын
just what i needed for my mechanics exam tomorrow
@jkf1192
@jkf1192 12 жыл бұрын
what if the lower section of the beam is wider, is I1 still going to be equal to I3 ?
@samniasary
@samniasary 12 жыл бұрын
What if we have to get the maximum bending stress?
@i_am_soumya_-_3748
@i_am_soumya_-_3748 7 жыл бұрын
sir can u plx show us how to calculate the moment of inertia of an irregular shaped cast iron beam
@kaps1308
@kaps1308 11 жыл бұрын
very good explanation sir thanks you very much
@Vathanaization
@Vathanaization 8 жыл бұрын
Thank you very much.
@OlimpiuVictor
@OlimpiuVictor 13 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
@WGPJayasinghe
@WGPJayasinghe 12 жыл бұрын
Thank you so much for this help..!
@ksdnsdkumar1375
@ksdnsdkumar1375 5 жыл бұрын
@5:57 how base is 35? please somebody explain.
@nakas12ify
@nakas12ify 12 жыл бұрын
Thank you so much!!
@REMOV28
@REMOV28 10 жыл бұрын
thanks, super helpful
@AtelierFleur
@AtelierFleur 8 жыл бұрын
Thank you!
@MrMarvelCraft
@MrMarvelCraft 9 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?
@aliourangiasr8066
@aliourangiasr8066 10 жыл бұрын
Thank you very much sir
@shazrinyusof8550
@shazrinyusof8550 10 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?
@MSavagePill
@MSavagePill 12 жыл бұрын
How did he get 35mm? can someone please explain. Thanks.
@TheSpyker123
@TheSpyker123 12 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
@cerialkillar
@cerialkillar 12 жыл бұрын
(110-40)/2 = 35 The whole lenght - the lenght of the beam and then devide by 2 because there are two sides
@dayxwalker
@dayxwalker 12 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
@TheCSSoup
@TheCSSoup 12 жыл бұрын
where did the 35 come from? 110/3 = 36.6 ? not 35?
@japedemino5850
@japedemino5850 10 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.
@NXTMusicianBassist
@NXTMusicianBassist 12 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.
@villy8778
@villy8778 13 жыл бұрын
Thank you so much. Where were you in my first year?
@A-R53
@A-R53 4 жыл бұрын
May Allah bless you sir 🌼🌺🌸🌺🌼🌺🌸🌺🌼
@3rbdh
@3rbdh 13 жыл бұрын
you have taken the hard way to that easy problem, i'm skeptical if u were reading while doing this. anyway
@GBizzleism
@GBizzleism 12 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.
@ajcraig99
@ajcraig99 12 жыл бұрын
you need to draw a bending moment diagram. i believe he has made a video addressing this.
@chocoreyniel3657
@chocoreyniel3657 7 жыл бұрын
how do you get the 35mm?????
@radancheng3374
@radancheng3374 7 жыл бұрын
I think he is assuming all the bars have different length but same width 40mm,then (110-40)/2=35mm
@tallkekepink95
@tallkekepink95 7 жыл бұрын
Thank you I had the same question!
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