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.
Жүктеу.....
Пікірлер: 115
@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.
@purdueMET11 жыл бұрын
It's great to know that people are learning from this video. You are most welcome.
@bbfcbvftjn5089
10 күн бұрын
Till today mr , 13 years later
@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
@eunicemobula45844 жыл бұрын
9 years later and this video is sitll crazy helpful! Thank you sir!!!
@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!
@mikemai85687 жыл бұрын
It's a great video. Thank you for all your hard work to filmed and posted this video.
@dizrob11 жыл бұрын
This is such a great video! Please keep them up! You're helping a lot of people
@alexthehunt199411 жыл бұрын
Thank you, I can't even begin to explain how helpful this was!
@joseortega971210 жыл бұрын
I LOVE YOU MAN.... YOU SAVED ME LOTS OF TIME... NOW MAKES SENSE!!! THANK YOU
@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.
@mersadz37437 жыл бұрын
Beautiful, very good job. Thanks.
@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!
@abbasajorloo94559 жыл бұрын
Thanks a lot for this video. this was very helpful.
@HamsayT13 жыл бұрын
Brilliant video - finally i can make sense of my lecturers notes!
@Moatazbahr12 жыл бұрын
you're a legend!! thanks for the very informative video
@samniasary12 жыл бұрын
Thanks man I saw that video a couple of weeks ago. Thank you mate.
@MultiValentino201110 жыл бұрын
THANK YOU SIR! MABUHAY KA! (LONG LIVE)
@kakbar1013 жыл бұрын
thanks alot your videos are so helpful
@navarchitect112 жыл бұрын
Thank you very much sir ..that was very helpful
@sebastianbidoli96936 жыл бұрын
You are my saviour
@sherazkhan27217 жыл бұрын
great work...thank u sir
@Stephenishere13 жыл бұрын
thank you for this video! :)
@mrhumz13 жыл бұрын
Excellent!!!!
@RubyFOB11 жыл бұрын
THANK YOU. Totally forgot what the formula was.
@juZby13 жыл бұрын
@juZby never mind! I managed to figure it out. Thanks again!
@durgacreation92326 жыл бұрын
thank you sir
@nasteve6180512 жыл бұрын
Thanks, good insite.
@guzars1237 жыл бұрын
thanks a lot .
@marjopy1312 жыл бұрын
Very useful.. you should be teaching at uni!!!! Thanks a lot for your help... =)
@arwaabougharib86988 жыл бұрын
I've always wondered what the physical meaning of the moment of area is..
@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
@brandonelliott63310 жыл бұрын
Great.... but now how do you calculate the area moment of inertia about the Y-axis?
@stevenhamer58268 жыл бұрын
how did you work the base out to be 35mm ? should of really shown that part
@tallkekepink95
7 жыл бұрын
Did you ever find out how? I am still lost.
@tallkekepink95
7 жыл бұрын
I just found out how from a comment I read below! Its 110-40 / 2
@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
@nguyentuan199011 жыл бұрын
how did you figure out that the base of each smaller retangular is 35mm? I couldnt figure it oiut.
@evo1empire12 жыл бұрын
Why did my lecturer not teach me like this at uni? life is suddenly so much easier and clearer lol
@bhaskarrasaily14333 жыл бұрын
What about calculating moi along y-axis using 1st method??? Seems like it doesn't work.
@SaraSara-qj7xo6 жыл бұрын
هل حل I beam ﻹيجاد moment of inertia ف محور y يختلف عنه ف محورX
@MarryMeSyn12 жыл бұрын
Is this the parallel axis theorem?
@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
7 жыл бұрын
I think the 35 came from 110-40 / 2
@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
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
@azharmohammed012 жыл бұрын
sun of a gun lol
@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.
@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 Жыл бұрын
Nice but music or musical instruments aren't advisable in islam let's avoid it God willing
@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.
@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.
@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.
@PSPx50009 жыл бұрын
Great explanation! You're better than my university professors
@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
@patricksoderborg793311 жыл бұрын
Clarity at it's best! Thanks!
@Atlethehun10 жыл бұрын
Great thanks for taking the time to make this video - very helpful!
@purdueMET11 жыл бұрын
Thanks very much. I'm really pleased to hear that the videos are helping you.
@Ipally2601I12 жыл бұрын
You have helped me so much! Keep these videos coming please!!!!
@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 :-)
@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
7 жыл бұрын
Wow, thanks. I'm glad the videos are of help to you :-)
@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...!!!
@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.
@MixTheMeister12 жыл бұрын
Your videos are amazing! Thank you so much!
@torthetori8 жыл бұрын
excellent job, very clear explanation.
@seanfogarty2117 жыл бұрын
Excellent explanation. Thanks a lot!
@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 :-)
@miad121211 жыл бұрын
I wished we had a teacher like u here!
@Kurohamiy11 жыл бұрын
Thank you so much ! This helped a lot
@imstudentxxxxx10 жыл бұрын
very good video! thanks!!
@Things4Free-Things4Free9 жыл бұрын
Thanks a lot,Sir!
@madman145213 жыл бұрын
great vid. keep it up!
@WGPJayasinghe12 жыл бұрын
Thank you so much for this help..!
@amandastark1011 жыл бұрын
Thank you so much! I might not fail my statics final because of you! =]
@kaps130810 жыл бұрын
very good explanation sir thanks you very much
@REMOV2810 жыл бұрын
thanks, super helpful
@nakas12ify12 жыл бұрын
Thank you so much!!
@purdueMET11 жыл бұрын
Sorry for the late response. This is indeed the parallel axis theorem. It works for mass moment of inertia as well.
@Vathanaization8 жыл бұрын
Thank you very much.
@aliourangiasr806610 жыл бұрын
Thank you very much sir
@AtelierFleur8 жыл бұрын
Thank you!
@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 ?
@finnersz11 жыл бұрын
just what i needed for my mechanics exam tomorrow
@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
@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-R534 жыл бұрын
May Allah bless you sir 🌼🌺🌸🌺🌼🌺🌸🌺🌼
@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
@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?
@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
@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
@3rbdh13 жыл бұрын
you have taken the hard way to that easy problem, i'm skeptical if u were reading while doing this. anyway
@villy877813 жыл бұрын
Thank you so much. Where were you in my first year?
@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...?
@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_-_37487 жыл бұрын
sir can u plx show us how to calculate the moment of inertia of an irregular shaped cast iron beam
@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?
@yongwu12264 жыл бұрын
how to calculate the second moment area about minor axis
@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.
@jkf119212 жыл бұрын
what if the lower section of the beam is wider, is I1 still going to be equal to I3 ?
@ajcraig9912 жыл бұрын
you need to draw a bending moment diagram. i believe he has made a video addressing this.
@samniasary12 жыл бұрын
What if we have to get the maximum bending stress?
@japedemino585010 жыл бұрын
whats the difference between second moment of inertia for bending moments (I) and polar moment of inertia for Torque (J)?
@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.
@ksdnsdkumar13755 жыл бұрын
@5:57 how base is 35? please somebody explain.
@MSavagePill12 жыл бұрын
How did he get 35mm? can someone please explain. Thanks.
@TheCSSoup12 жыл бұрын
where did the 35 come from? 110/3 = 36.6 ? not 35?
@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.
@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
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
7 жыл бұрын
I was confused on that part too. So basically he just did 260 - 40 / 2 which gives you 110 right?
Пікірлер: 115
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.
It's great to know that people are learning from this video. You are most welcome.
@bbfcbvftjn5089
10 күн бұрын
Till today mr , 13 years later
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
9 years later and this video is sitll crazy helpful! Thank you sir!!!
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!
It's a great video. Thank you for all your hard work to filmed and posted this video.
This is such a great video! Please keep them up! You're helping a lot of people
Thank you, I can't even begin to explain how helpful this was!
I LOVE YOU MAN.... YOU SAVED ME LOTS OF TIME... NOW MAKES SENSE!!! THANK YOU
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.
Beautiful, very good job. Thanks.
really useful, much easier to understand than the wikipedia page on this subject, or anything else i've found for that matter!
Thanks a lot for this video. this was very helpful.
Brilliant video - finally i can make sense of my lecturers notes!
you're a legend!! thanks for the very informative video
Thanks man I saw that video a couple of weeks ago. Thank you mate.
THANK YOU SIR! MABUHAY KA! (LONG LIVE)
thanks alot your videos are so helpful
Thank you very much sir ..that was very helpful
You are my saviour
great work...thank u sir
thank you for this video! :)
Excellent!!!!
THANK YOU. Totally forgot what the formula was.
@juZby never mind! I managed to figure it out. Thanks again!
thank you sir
Thanks, good insite.
thanks a lot .
Very useful.. you should be teaching at uni!!!! Thanks a lot for your help... =)
I've always wondered what the physical meaning of the moment of area is..
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
Great.... but now how do you calculate the area moment of inertia about the Y-axis?
how did you work the base out to be 35mm ? should of really shown that part
@tallkekepink95
7 жыл бұрын
Did you ever find out how? I am still lost.
@tallkekepink95
7 жыл бұрын
I just found out how from a comment I read below! Its 110-40 / 2
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
how did you figure out that the base of each smaller retangular is 35mm? I couldnt figure it oiut.
Why did my lecturer not teach me like this at uni? life is suddenly so much easier and clearer lol
What about calculating moi along y-axis using 1st method??? Seems like it doesn't work.
هل حل I beam ﻹيجاد moment of inertia ف محور y يختلف عنه ف محورX
Is this the parallel axis theorem?
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
7 жыл бұрын
I think the 35 came from 110-40 / 2
Can someone please put a filled out equation for the last bit?? All i get is 1.173 x 10^10
@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
sun of a gun lol
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.
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!
Nice but music or musical instruments aren't advisable in islam let's avoid it God willing
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.
Needless to say, that was great and very helpful, thanks! Way better than trying to decode the practical meaning of Wiki formulas.
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.
Great explanation! You're better than my university professors
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
Clarity at it's best! Thanks!
Great thanks for taking the time to make this video - very helpful!
Thanks very much. I'm really pleased to hear that the videos are helping you.
You have helped me so much! Keep these videos coming please!!!!
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 :-)
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
7 жыл бұрын
Wow, thanks. I'm glad the videos are of help to you :-)
@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...!!!
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.
Your videos are amazing! Thank you so much!
excellent job, very clear explanation.
Excellent explanation. Thanks a lot!
@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 :-)
I wished we had a teacher like u here!
Thank you so much ! This helped a lot
very good video! thanks!!
Thanks a lot,Sir!
great vid. keep it up!
Thank you so much for this help..!
Thank you so much! I might not fail my statics final because of you! =]
very good explanation sir thanks you very much
thanks, super helpful
Thank you so much!!
Sorry for the late response. This is indeed the parallel axis theorem. It works for mass moment of inertia as well.
Thank you very much.
Thank you very much sir
Thank you!
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 ?
just what i needed for my mechanics exam tomorrow
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
Hello can you do a video on working out the centroid and second moment of area for a 'C' shape . Thanks a lot
May Allah bless you sir 🌼🌺🌸🌺🌼🌺🌸🌺🌼
(110-40)/2 = 35 The whole lenght - the lenght of the beam and then devide by 2 because there are two sides
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?
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
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
you have taken the hard way to that easy problem, i'm skeptical if u were reading while doing this. anyway
Thank you so much. Where were you in my first year?
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...?
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
sir can u plx show us how to calculate the moment of inertia of an irregular shaped cast iron beam
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?
how to calculate the second moment area about minor axis
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.
what if the lower section of the beam is wider, is I1 still going to be equal to I3 ?
you need to draw a bending moment diagram. i believe he has made a video addressing this.
What if we have to get the maximum bending stress?
whats the difference between second moment of inertia for bending moments (I) and polar moment of inertia for Torque (J)?
@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.
@5:57 how base is 35? please somebody explain.
How did he get 35mm? can someone please explain. Thanks.
where did the 35 come from? 110/3 = 36.6 ? not 35?
@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.
sri the beam is symmetric the location of centroid is centre that i mean the value is d=130 , not 110 mm
@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
7 жыл бұрын
I was confused on that part too. So basically he just did 260 - 40 / 2 which gives you 110 right?