Moment Distribution Method Example 1 (1/2) - Structural Analysis

Introductory example problem applying the moment distribution method on a statically indeterminate beam. This is a good place to start if you have never applied the moment distribution method for structural analysis.
Part 1 demonstrates the application of the moment distribution method in detail.
Part 2 shows you how to draw shear and moment diagrams once you have determined the member end moments.

[@PK-zo8lx]

I can't believe how easier it is for the newer generations of engineering students to learn these concepts. When I was in University in the late 80s we had very limited (dial-up !!) Internet and certainly no KZbin. We had to haul our a%% in the campus library, dig through pages and pages of other books (in addition to our textbooks) , find material that was better explained than our prof would explain, find coins to insert in the photocopying machines (most engineering textbooks were 4" thick and hence heavy!) and photocopy relevant material. Now one can search 24/7 online to find solved examples that are well explained (such as structurefree does!)....... Well done sir !! Then again, generations before mine used slide rules to design skyscrapers, so I shouldn't be complaining. To those of you that are studying engineering, it is a rough, tough and long road but well worth it. Tough it out; work and study hard and at the end it will pay off. Apologies for the long post. Keep up the great work you do 'structurefree" !!

[@robbiegolds1234]

To be or not to be.... that is the question

[@Josh-zk7pf]

so true man. I acknowledge how super lucky i am. Don't think i could've been an engineer if it weren't for youtube. KZbin has taught me everything for maths, I taught myself calculus watching youtube videos, all the way from even before precalc. you're very right, we have it much much easier. and i'm so thankful for it, because it gives me the opportunity to become actually try and become an engineer whereas otherwise the odds would've been stacked against me, such as in your times. It's much easier now but it's still very hard nonetheless.

[@TheMrgoodmanners]

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[@MOATHALSHIBLIvfx]

@@TheMrgoodmanners 100% true Yes we use KZbin to learn.. But we still weak..

[@nechirvansadon8501]

hours of searching making you never forget it, and you learn much more by searching.

[@GenaEnSamIAm]

Dood, you have no idea how popular you are! The amount of people you are helping is crazy! Thanks for making your mark in engineering education!

[@structurefree]

+Eugene Smith Thank you for the kind words and your support!

[@assaultedpeanut9]

Someone give this guy a medal

[@structurefree]

bling, bling.

[@tysongill99]

I wanted to extend a personal thank you for this video. I'm studying for the October PE exam and a question on a practice exam asked to solve for a reaction using this method. Never heard of it, let alone used it. This video saved me what would have been days maybe weeks worth of time trying to study and understand this method from a book or online source that probably would have taken me days to find in the first place. Absolutely brilliantly explained, clear, concise, excellently done!

[@Structural_analysis]

Complete lecture on moment distribution for beginnerskzbin.info/www/bejne/qHqcopSpmrFkqNU

[@structurefree]

thanks for the kind words and comment about units. I try to do both sets of units since I teach in the U.S. and the structural design codes are primarily in the FPS system with conversions to SI.

[@amandadube156]

You just did a better job of teaching me this than my professor did with 3 hours of class time and 6 homework problems. Thank you sir!

[@emmanuelmsafiri4961]

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[@comffy67]

You are the GOAT of Civil Engineering!! I can't tell you how many times you saved my grades, I just love your work!!! God bless you!

[@Structural_analysis]

Complete lecture on moment distribution for beginnerskzbin.info/www/bejne/qHqcopSpmrFkqNU

[@umutseferoglu159]

This is the best distribution method video on youtube; i have ever seen!

[@bobbyrwilliams89]

I'll be taking my final in this course next week, and it looks like I'm home free. I couldn't have passed this class without your videos.

[@structurefree]

I hope your exam goes well and you end up doing better than passing!!

[@structurefree]

A very detailed introductory example applying the moment distribution method. This is a good place to start if you have not seen the mdm method applied or need a refresher.

[@andrewyu4314]

I thought you said MDMA, if you know what i mean lmao.

[@warsatan23]

Thank you so much for all the videos. I'm taking the FE exam after been out of school for 5 years, and all this info is very helpful. You're the man..

[@cocoscorner6365]

Without your videos i can fail my exams and with your videos i will not fail but also i will get a good mark, thanks very much!

[@christellekalala]

This is the best explanation I’ve come across on this topic. Thank you so much

[@structurefree]

Thank you for the kind words!

[@enzobettonibortolotti6723]

My mother language is not english.. And I congratulate you how you can articulate very well.. Good lesson.. If you make more videos about Method of Hardy Cross.. We will apreciate. Thanks

[@structurefree]

k=3EI/L is used when the beam has a pin/roller on the free end or where the beam structure terminates. In this example, the roller is supporting the continuous beam and a moment can be carried across the beam at the support. See the moment distribution method example 3 video, it has a beam segment that uses k=3EI/L.

[@abumaalik9272]

Watching this in 2019, excellent explanation!

[@poisatitionWowaik]

Thank you so much. Finally, I've got it . It's very useful before my examination. Simple description and understand easily.

[@Catloverss95]

Learn moment distribution method (Non sway) kzbin.info/www/bejne/qHqcopSpmrFkqNU Learn moment distribution method with sway kzbin.info/www/bejne/iJ3NhHqAfdunaaM

[@stephanielao6557]

i was so confused about this method when I first learnt it but now I understand everything

[@Catloverss95]

kzbin.info/www/bejne/qHqcopSpmrFkqNU

[@Structural_analysis]

Complete lecture on moment distribution for beginnerskzbin.info/www/bejne/qHqcopSpmrFkqNU

[@btoombstertriesyt6532]

This video still kicks ass 9 yrs later

[@shotasturua5041]

Best explanation i have seen so far

[@hebronferrier9101]

Amazing work. The cleanest and videos explaining engineering concepts and processes. This helped me a ton. Thanks, thanks.

[@IanbestSmith]

Bro, I have understood things I havent been able to understand since year one in 15 minutes

[@structurefree]

Wow, best 15 minutes ever?!

[@IanbestSmith]

@@structurefree The best ever

[@fatmafm31]

Im your biggest fan of your brain in the arab world lol U really help me Plz pray for me tomorrow is my first midterm exam in this subject 😭

[@adexfunkyadex2337]

Best channel ever no cap

[@Catloverss95]

Complete lecture on moment distribution for beginners kzbin.info/www/bejne/qHqcopSpmrFkqNU

[@vaca493]

You are the best bro, you have help me pass a lot of exams. Greetings

[@Structural_analysis]

Complete lecture on moment distribution for beginnerskzbin.info/www/bejne/qHqcopSpmrFkqNU

[@ericstone213]

You are the apple to my structure analysis

[@yalcinhrt]

You are my best teacher ever!!!! You are amazing , I love you

[@AlexRodriguez-lk1jy]

Hey bro, not sure if you have a video on the stiffness method but if you don't, you should definitely make one! Love the channel, keep up the great work!

[@Catloverss95]

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[@Nour-lq3in]

truly thankful ur the best im goooona pass the exam tmorw :)

[@A1B03]

Bruh my english is my second language and I understand you Thank you🎉

[@structurefree]

Bruh...structural analysis for all!

[@collum2012]

Thank you! Very very useful. I was lost until I found this...

[@errorali39]

Thank you very much, you are amazing, I have used your videos for 4 of my courses, I hope I can return this favor to you somehow some day !!!

[@luciana.mungai]

thanks alot for the vedio its very helpful to civil engineering student in kenya

[@Structural_analysis]

Complete lecture on moment distribution for beginnerskzbin.info/www/bejne/qHqcopSpmrFkqNU

[@TheAsterix909]

Please add an example for a structure with an overhang. Very interesting and quick review thanks

[@haotaihuang5592]

When you calculate (FEM)AB, why you use w in (k/ft) and l^2 in inch?

[@vincentmichaelg.sauler4514]

Bro!!! I just wanna say thank you for this! 😊

[@vandanaenjeti]

Sir, Thanks for all your videos.

[@vgambie]

Hey mate. Your videos really help all of us. They are probably the only thing that ensures we pass uni. And by "we", I mean the entire cohort of engineers every year. Appreciate it. We just don't understand, in this instance, how you got the zeros in the purple line at joint B. Could you please clarify?

[@marlam5478]

If you add the moments on each side of the joint B ( 52.083-3.456=48.627 and -40-8.627=-48.627) are equal. that means are balanced and you don't need to apply again the distribution factor. The iteration process finish when you get moment equilibrium at interior supports. better later than never :)

[@bradvincent2586]

@@marlam5478 Okay, can you still try to reexplain this? I don't understand. My professor kept doing the iterations until the distributions were negligible and small. What happens if you have seven iterations, do you have to keep adding up both sides of the joint til you figure out if they are even?

[@HMH500]

Life saver. Thank you my man, thank you.

[@ellezirescabusa7468]

Thank you sir! Please also include a video about moment distribution method on frames with sidesway.

[@Mernachicaloca]

You sound like Dave Franco so it makes learning 100x easier 😍

[@Catloverss95]

Learn moment distribution method (Non sway) kzbin.info/www/bejne/qHqcopSpmrFkqNU Learn moment distribution method with sway kzbin.info/www/bejne/iJ3NhHqAfdunaaM

[@manpd7881]

very helpfull... thnk god i found your channl

[@emeleeavila5049]

Very good and funny videos bring a great sense of entertainment!

[@inlovewithjiyong4241]

Deadpool is that you?

[@anthonyngadimin7491]

I'm not sure if it was discussed in previous videos - how do we determine the K value to begin with?

[@Catloverss95]

Learn moment distribution method (Non sway) kzbin.info/www/bejne/qHqcopSpmrFkqNU Learn moment distribution method with sway kzbin.info/www/bejne/iJ3NhHqAfdunaaM

[@kezukivalentine5071]

Thanks Soo much for clearing this up for me it was really bothering me with the carry over

[@Structural_analysis]

Complete lecture on moment distribution for beginnerskzbin.info/www/bejne/qHqcopSpmrFkqNU

[@tokiniainaricky8588]

very nice explanation. Thank you. Btw, what software are you using for the writing stuff?

[@blissfulimperfect]

thank you so much ! very helpful especially when you have a terrible professor!

[@laurenbraun929]

Thank you for these amazing videos! I only wish I would have found them a year ago.

[@structurefree]

Fo sho.

[@johnmurphy9286]

Hi Structure: I was wondering why your Carry Over for both parts of Joint B are 0 after 1 iteration? Im trying to teach myself this method and I cant figure this part out.

[@RicKohJeh]

Thank you, sir! You've helped me to understand it easier

[@justaddwater24]

Hey structure free. I love your videos it helps me a lot in civil. However could you please you do your units in the metric system. I think most countries use those units now and are more universally adopted

[@uthmanboray8066]

Oh man you're so helpful,thank you.

[@leoleosen3261]

Thanks for the lecture, the only problem for me is to convert KN/m to K/ft and in^4 to mm^4 for, we use (m) in north Europe.

[@wogenetamrat9502]

the best thing is that reading the replies of structurefree ...who else enjoying it

[@structurefree]

Word. I enjoy it too.

[@ansahnanabenyi9635]

I LOVE YOUR VIDEOS

[@structurefree]

+ANSAH NANA BENYI thank you. #loveincapitalletters

[@rahulchou]

Professor, please lets see a worked moment distribution solution to a "cube", "cube beside cube", "cube on cube", and larger number of cubes (rooms that is). a cube is four columns joined with beams above and below (or foundation on a ground floor). a roof can be an "area" of spread out load (like reinforced concrete). i have been surprised with so many books stop after beam, column and a 2d portal of two columns and a beam on top; and then plenty books dive into matrices.

[@eazuber]

God bless you.

[@structurefree]

Amen.

[@alexandredamours2797]

Is the carry over factor always 0.5? How do you know what value to use for the carry over factor? Thanks for the great vid!

[@cedieshanerey1275]

Where's the drawing for shear and moment diagram?

[@Kuldeepkumar-ny2up]

sir , while calculating member stiffness how did you get 12 at the denominator.

[@Catloverss95]

kzbin.info/www/bejne/qHqcopSpmrFkqNU

[@miaparagas3847]

It's like hearing jesse pinkman discuss theory of structures

[@jrow96]

Lol, some videos "don't be homeless write your units" this video "oops forgot units, dont judge me"

[@Catloverss95]

Complete lecture on moment distribution for beginners kzbin.info/www/bejne/qHqcopSpmrFkqNU

[@peymannamdar]

thanks alot structurefree , but where is BMD? The second part is from other question?

[@Lahiru_Dabare]

thank you sir you are great....i recommend to to watch this video

[@mainakray538]

sir it was very helpful ,application oriented please upload matrix method of truss and frame analysis by matrix method please upload

[@AnnLaustsen87]

Structurefree in the house!

[@eng.hasi_na]

Thanq So much Was really Helpful

[@iRockNRolla28]

Thanks for the awesome vids :) But for the member stiffness shouldn't it be k=3EI/L, because it's a cantilever to pin/roller? I'm confused.

[@HamzaHossaintheKahaniBaaz]

Far end is fix=) 4EI/L Far end is pinned=) 3EI/L

[@intanmaharani8]

Thank u so much for thisss😊😊😊it’s very helpful

[@PG7II]

in the carry over row, how did you get the zero's at BA and BC?

[@Catloverss95]

kzbin.info/www/bejne/qHqcopSpmrFkqNU

[@jeremysquires4472]

When you drew member B, why were the moments opposite in sign convention to those drawn in your table? Im just trying to keep it all straight in my head, thx for your videos, taking FE soon.

[@abouteverything9180]

thanks for the help i have a small dought thanks man

[@anthonyelenga8939]

Can you please make this video with metric units ? These imperial units are a bit confusing, thanks. And great job

[@Catloverss95]

Learn moment distribution method (Non sway) kzbin.info/www/bejne/qHqcopSpmrFkqNU Learn moment distribution method with sway kzbin.info/www/bejne/iJ3NhHqAfdunaaM

[@JamaicanHobbyRunner]

What software do you use for writing in your videos?

[@pyromethies123]

I really hope you teach at a university... because my professors are nothing of this caliber

[@jasonluvxoxo2870]

In the last row of the table in joint BA and BC part how did the values become zero?

[@oguzcemdemirci9607]

Why didn't we take 25 directly instead of L when calculating stifness? why did we make 25x12?

[@MrJoeker88]

What would be DFab if there were a pin joint in A?

[@joeljoy5472]

thanks so much buddy..helps a lot...done beautifully

[@elijahtamba4943]

this is really helpful, thanks.

[@ianwebber412]

how did you get the zero's at BA and BC?

[@folth9739]

it is default right?

[@oscareulatic2964]

It is a fixed support it absorb all the moments so the DF is zero.. If the end is roller or pinned support the DF is 1.

[@tashahuei9760]

If let's say Joint B to C had rollers or pins as the supports, would the stiffness (K) for Kbc=Kcb be 3EI/L or 4EI/L and why?

[@mahmoudfadle3631]

Really Great work keep it up

[@mahmoudfadle3631]

Could you please Attach the solution steps as a PDF or maybe any other format that can be used as a hard copy Reference . Because really i haven`t seen any one illustrating the Moment.D.Method in that simple easy to understand way . and thanks again you are really great

[@BY-sh6gt]

What if I have a distributed load and the same inertia across the beam? How can I get the coefficients

[@abioyetimilehin8654]

Pls I want to know d name of the application u used for your workings

[@chacuabo6587]

hope you would also post example using three moment equation

[@whatsuyy]

TERIMAKASIH SANGAT BERMANFAAT DAN MEMBANTU !!!!

[@aliabdo7738]

Hello..that was agood jop thanks for sharing 'can u do an example for redistribution moment!

[@TheTwigz19]

I have a problem similar to this except for balancing the moment at B I have 38.4 and 40. My Mbal=1.6 but would it be 1.6 going the other direction and would my sign change? hopefully i explained this correctly

[@ehmcheng]

at 14:15, why is the distributed moment 0 and 0 at B?

[@robbiegolds1234]

Although I feel confident, I can't find any problems where people are working beams that dont have fixed ends. Like lets say B was a pin connection, and A and C were either pins or rollers. That adds a way different dynamic.

[@Catloverss95]

Learn moment distribution method (Non sway) kzbin.info/www/bejne/qHqcopSpmrFkqNU Learn moment distribution method with sway kzbin.info/www/bejne/iJ3NhHqAfdunaaM

[@malyzaeslic8734]

Thank you so much for this! This is really helpful

[@pauloopena6685]

man can you do a video about frame using MDM

[@structuralanalysis2790]

Do you know you can find reaction @ A,B, and C;Plus Moment @ A, and C with a size matrix ?

[@mindyxu4016]

hello, structurefree: could you please advise me which method is better to use to solve frame moment and shear diagram: slope deflection method or moment distribution method? In the exam I will take, I will be given a free choice of either method. Thank you.

[@structurefree]

If you are allowed a page of notes and don't have to memorize equations, I would use the slope deflection equations. I am assuming that you have practiced solving the equations out, since you could have 6 or many more unknowns and the same number of equations depending on the frame being analyzed. Also, you have to know how to handle the chord rotation if you have lateral loading or settlement...but that depends on how much you've covered in the course.

[@mindyxu4016]

structurefree Thank you. It is a close book exam, but I can try to memorize equations if the slope deflection method is easier to use compared to moment distribution method. As for lateral loading or settlement, I will have to learn how to handle it from more examples. I really appreciate your videos. They are very helpful. I can see you are a talent teacher and you love what you do. Keep on with good job! World would be a better place if everyone is like you, to give back and constantly improve your profession!

[@vaca493]

Bro, I want to help a friend explaining some math topics , what software and tablet do you use for making the videos? Could it be possible to stream in a video call?

[@Catloverss95]

Complete lecture on moment distribution for beginnerskzbin.info/www/bejne/qHqcopSpmrFkqNU

[@GhostfaceKillahGus]

why was it 4*EI/L not just EI/L?

[@skyrunners9082]

i was typing the answer when i realized you gave the exam 3 years ago and you dont need it anywhere in your life anymore so i stopped typing

[@Erupit2]

I still need this answered...

[@salinshrestha6976]

What is the spftware you are using to write..