Method of Virtual Work for Beams Example 1 (Part 1/2) - Structural Analysis

This video is an introductory and very detailed example demonstrating the application of the principle of virtual work on a cantilever beam. If you have never used the method of virtual work or need a refresher this is a good place to start.
Part 1: Overview of the approach and calculating the slope at point B.
Part 2: Calculating the deflection at point B.

Пікірлер: 82

  • @academiae-learning7424
    @academiae-learning7424 Жыл бұрын

    I got 73% in Structures last year (2022) all because of you. Thanks buddy.

  • @delli.3873
    @delli.38734 жыл бұрын

    "It might seems like a normal tutorial video, but it saves millions of college students' lifes." Jesus said.

  • @structurefree

    @structurefree

    4 жыл бұрын

    can i get a witness?

  • @delli.3873

    @delli.3873

    4 жыл бұрын

    @@structurefree he'll say it to you himself when you go up there man.

  • @structurefree
    @structurefree10 жыл бұрын

    If you need a step-by-step on how to apply the method of virtual work for beam deflections, this video is a good place to start.

  • @segurasegurajorge8018

    @segurasegurajorge8018

    8 жыл бұрын

    +structurefree so this is castigliano's method?

  • @GeniusD18

    @GeniusD18

    8 жыл бұрын

    +Segurasegura Jorge no it isn't, castigliano has a lot of similar stuff going on, one might even say it builds on the Virtual Work method, but it is different. Just google it

  • @sabrinasamreen3861
    @sabrinasamreen38615 жыл бұрын

    Thank God for structurefree

  • @dangisjakutis3754
    @dangisjakutis37547 жыл бұрын

    This guys intros crack me up 😹

  • @grouch0
    @grouch08 жыл бұрын

    Just want to give a huge thanks for making these videos! You make many concepts so easy to understand. I really appreciate these videos!

  • @ana.nke_
    @ana.nke_9 жыл бұрын

    Seriously love your videos. I'm not gonna lie, you've helped me a good deal on a couple of homeworks and tests

  • @hunnykumar2401

    @hunnykumar2401

    2 жыл бұрын

    where are you from?

  • @ana.nke_

    @ana.nke_

    2 жыл бұрын

    @@hunnykumar2401 Brazil

  • @hunnykumar2401

    @hunnykumar2401

    2 жыл бұрын

    can we discuss structure analysis

  • @derekdossmann5545
    @derekdossmann5545Ай бұрын

    I spent 3.5 years (2020-2024) in civil engineering before finding this literal goldmine

  • @ugurcanuluyol7562
    @ugurcanuluyol75625 жыл бұрын

    The way you say ''Positive' is driving me crazy !! keep it up good work !1

  • @louisgouws3881

    @louisgouws3881

    4 жыл бұрын

    "paaaasative"

  • @jizzbadger
    @jizzbadger6 жыл бұрын

    why cant my lecturer be as clear and sensible as you??! good work

  • @roviambagolla7954
    @roviambagolla79546 ай бұрын

    Thank you for the video ! I was totally lost in class but now i understand thanks to you :)

  • @osoz533
    @osoz5337 жыл бұрын

    Structurefree!!!!!!!!! Saved me for 2 years now!!!

  • @osoz533

    @osoz533

    5 жыл бұрын

    I gruadated previously year, thank you for everything.

  • @yonasogbai8441
    @yonasogbai84418 жыл бұрын

    You are a godsend. God bless you, child.

  • @structurefree

    @structurefree

    8 жыл бұрын

    +Yonas Ogbai Can I get an AMEN!?!

  • @IbrahimHmidan

    @IbrahimHmidan

    8 жыл бұрын

    +structurefree AMEEN

  • @yonasogbai8441

    @yonasogbai8441

    7 жыл бұрын

    Hello Mr StructureFree, any chance you can do a video on Stiffness Matrix and Plastic Analysis? I understand this may not be your field but we have exams in January and we NEED you :'(

  • @leoleosen3261

    @leoleosen3261

    5 жыл бұрын

    Amen.

  • @paulinaferrero5477
    @paulinaferrero54779 жыл бұрын

    thank you very much! Very useful video!!

  • @oscarsanabria5354
    @oscarsanabria53545 жыл бұрын

    Could you do an example of this method using the Mohr's integral matrix?

  • @ibrijuibrahim3896
    @ibrijuibrahim38969 жыл бұрын

    why are we using real curvature M/EI??

  • @aladinabrash7465
    @aladinabrash74654 жыл бұрын

    Thanks for usefull videos 12:07 is it right I describe the M function as M = -10 ( 3- x) then 13:49 the rotation will -1/EI * integral { -1 * -10 (3-x)} from 0 to 3 = 45 ?

  • @MrVampirehunter1309
    @MrVampirehunter13098 жыл бұрын

    Why do you use 1KN/1KNm instead of simply 1N/1Nm that would simplify everything?

  • @mossandreleonce9432
    @mossandreleonce94328 жыл бұрын

    You are the best dude! I really like a joke at the beginning 😹😂😂

  • @bruteTT
    @bruteTT10 жыл бұрын

    Isn't the virtual moment function 1KN.x - 3KNm? Did you apply a virtual unit moment when you were to apply a virtual unit load ( 8 min into the video)?

  • @TurtleboyTom
    @TurtleboyTom7 жыл бұрын

    Do you have any videos that explain how to get the moment functions?

  • @structurefree

    @structurefree

    4 жыл бұрын

    kzread.info/dash/bejne/eJV5o7ecgMipndo.html

  • @biaralier9432
    @biaralier9432 Жыл бұрын

    You the best, dude

  • @rajragavan21
    @rajragavan219 жыл бұрын

    thank you man good

  • @fatemaalsayed6623
    @fatemaalsayed662310 жыл бұрын

    Thank u sooooo much

  • @suechecks
    @suechecks5 жыл бұрын

    why is the moment negative 30?

  • @MrKaramanMuhammed
    @MrKaramanMuhammed7 жыл бұрын

    i dont know english well but i understand it and i can make my exam tomorrow :)

  • @alperkol9938
    @alperkol99385 ай бұрын

    Can you tell me how do you find moment functions?

  • @oscarsanabria5354
    @oscarsanabria53545 жыл бұрын

    Why do you apply a moment at the end of the beam instead of a downwards 1 particular load? Would that be the same?

  • @oscarsanabria5354

    @oscarsanabria5354

    5 жыл бұрын

    Nvm I've already seen the video again haha

  • @hulk8889
    @hulk88898 жыл бұрын

    Using the princple of virtual displacement with aprrox. with approximate virtual func. below determine the tip displacemen of the beam(&u=(x^2/L^2) &u= (X^3 / L^3) &u=(x^4 /L^4 ) AND &u= lnx /L^4 )

  • @ibrahimmohamed8480
    @ibrahimmohamed84808 жыл бұрын

    awesome

  • @fahmyhamzany2640
    @fahmyhamzany26409 жыл бұрын

    hello, how do you determine the moment of real loading is -30kNm. what i mean here is how do you know the moment is negative? sorry if i sound like a noob here :(

  • @structurefree

    @structurefree

    9 жыл бұрын

    Fahmy Hamzany the negative moment depends on the internal sign convention used for the beam. in this example, i am looking at the beam from going left to right and positive internal moments cause compression at the top and tension at the bottom. Hope that helps.

  • @fahmyhamzany2640

    @fahmyhamzany2640

    9 жыл бұрын

    okay now i get it. Thank you very much sir :)

  • @perpetututuator
    @perpetututuator6 жыл бұрын

    shouldnt it be 3x-30=y ?

  • @jamesdixon4810
    @jamesdixon481010 жыл бұрын

    You...I like you

  • @dailyfitness484
    @dailyfitness4846 жыл бұрын

    Virtual work and unit load method are same. Aren't they?????

  • @crispusallen3865
    @crispusallen38652 жыл бұрын

    What happens if the Force is somewhere in the middle of the beam? (i.e. not loaded at the end)

  • @pasindupiumal9368

    @pasindupiumal9368

    2 жыл бұрын

    Energy method structural analysis bascis kzread.info/dash/bejne/gaSCxNCmipW2hNo.html

  • @azeemiqrah
    @azeemiqrah10 жыл бұрын

    thnx a lot

  • @structurefree

    @structurefree

    10 жыл бұрын

    I'm glad it's useful.

  • @zakiraannur6452
    @zakiraannur64523 жыл бұрын

    Hello may i know where the 5kn came from? Btw its a good explanation.

  • @pasindupiumal9368

    @pasindupiumal9368

    2 жыл бұрын

    Energy method structural analysis bascis kzread.info/dash/bejne/gaSCxNCmipW2hNo.html

  • @finianholland7654
    @finianholland76544 жыл бұрын

    How do you find the “virtual moment”. This concept makes zero sense to me and I have no idea how you got the numbers that you got.

  • @carultch

    @carultch

    Жыл бұрын

    You arbitrarily assume a unit moment is applied at the location. How large the moment is, will ultimately cancel out of the equation, so to keep it simple, you assume it is 1 N-m.

  • @salleehhh
    @salleehhh9 жыл бұрын

    Thanks! Awesome video!!! \(^_^)/ Do you have any videos on doing PVW by using equations instead of the graphical method with discontinuity in loads? I've tried doing that but I can't seem to fully understand how to apply the method of sections. Thanks in advance!

  • @t20i1h5u23
    @t20i1h5u239 жыл бұрын

    you misspellled bema

  • @NJ-ho5pd
    @NJ-ho5pd6 жыл бұрын

    You are doing a great job! But please buy a better mic......

  • @ruskugay
    @ruskugay5 жыл бұрын

    isnt there an integration constant?

  • @felixyi349

    @felixyi349

    4 жыл бұрын

    no.. this is a definite integral

  • @bombardeiro
    @bombardeiro7 жыл бұрын

    why does the moment start at -30 and not at 30?!?

  • @camsnavarro2596

    @camsnavarro2596

    5 жыл бұрын

    Same question.

  • @henro140995
    @henro1409959 жыл бұрын

    u sound like huskystarcraft haha thanks for the videoss

  • @ahmadjaber957
    @ahmadjaber9574 жыл бұрын

    thank u for this, its explained way better than in our online lectures. I just might fuck them off and follow ur playlist

  • @skullfreak102
    @skullfreak1023 жыл бұрын

    Didn't realize Mvlovin taught engineering videos

  • @pasindupiumal9368

    @pasindupiumal9368

    2 жыл бұрын

    Energy method structural analysis bascis kzread.info/dash/bejne/gaSCxNCmipW2hNo.html

  • @camsnavarro2596
    @camsnavarro25965 жыл бұрын

    Why not +30? On Ma?

  • @pasindupiumal9368

    @pasindupiumal9368

    2 жыл бұрын

    Energy method structural analysis bascis kzread.info/dash/bejne/gaSCxNCmipW2hNo.html

  • @shyamalaiyer
    @shyamalaiyer4 жыл бұрын

    paaasitive

  • @5_gz285
    @5_gz2854 жыл бұрын

    I wanna copy an example for my report whatever i dont know anything abt it 😹😹

  • @pasindupiumal9368

    @pasindupiumal9368

    2 жыл бұрын

    Energy method structural analysis bascis kzread.info/dash/bejne/gaSCxNCmipW2hNo.html

  • @furkanoruc2492
    @furkanoruc24926 жыл бұрын

    wassssuupppp

  • @balls4924
    @balls49247 ай бұрын

    i have a final in an hour lmaoo

  • @Sjsime827
    @Sjsime8276 жыл бұрын

    God... is that you?

  • @structurefree

    @structurefree

    4 жыл бұрын

    It's me Margaret.

  • @PGF-Mika
    @PGF-Mika2 жыл бұрын

    oh your voice lol

  • @kilinw
    @kilinw3 жыл бұрын

    I love you. Marry me.

  • @pasindupiumal9368

    @pasindupiumal9368

    2 жыл бұрын

    Energy method structural analysis bascis kzread.info/dash/bejne/gaSCxNCmipW2hNo.html