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.

[@academiae-learning7424]

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

[@delli.3873]

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

[@structurefree]

can i get a witness?

[@delli.3873]

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

[@structurefree]

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]

+structurefree so this is castigliano's method?

[@GeniusD18]

+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

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[@derekdossmann5545]

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

[@grouch0]

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

[@jizzbadger]

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

[@roviambagolla7954]

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

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

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@@hunnykumar2401 Brazil

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[@paulinaferrero5477]

thank you very much! Very useful video!!

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[@structurefree]

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[@IbrahimHmidan]

+structurefree AMEEN

[@yonasogbai8441]

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]

Amen.

[@MrKaramanMuhammed]

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

[@biaralier9432]

You the best, dude

[@mossandreleonce9432]

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[@aladinabrash7465]

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 ?

[@rajragavan21]

thank you man good

[@ibrijuibrahim3896]

why are we using real curvature M/EI??

[@ibrahimmohamed8480]

awesome

[@oscarsanabria5354]

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

[@MrVampirehunter1309]

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

[@fatemaalsayed6623]

Thank u sooooo much

[@bruteTT]

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)?

[@susanmuchirahondo6801]

why is the moment negative 30?

[@TurtleboyTom]

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

[@structurefree]

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[@NJ-ho5pd]

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

[@alperkol9938]

Can you tell me how do you find moment functions?

[@hulk8889]

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 )

[@oscarsanabria5354]

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]

Nvm I've already seen the video again haha

[@azeemiqrah]

thnx a lot

[@structurefree]

I'm glad it's useful.

[@perpetututuator]

shouldnt it be 3x-30=y ?

[@dailyfitness484]

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

[@fahmyhamzany2640]

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]

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]

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

[@zakiraannur6452]

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

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[@crispusallen3865]

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

[@pasindupiumal9368]

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[@ahmadjaber957]

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

[@henro140995]

u sound like huskystarcraft haha thanks for the videoss

[@ruskugay]

isnt there an integration constant?

[@felixyi349]

no.. this is a definite integral

[@t20i1h5u23]

you misspellled bema

[@skullfreak102]

Didn't realize Mvlovin taught engineering videos

[@pasindupiumal9368]

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[@finianholland7654]

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]

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.

[@shyamalaiyer]

paaasitive

[@bombardeiro]

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

[@camsnavarro2596]

Same question.

[@salleehhh]

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!

[@furkanoruc2492]

wassssuupppp

[@camsnavarro2596]

Why not +30? On Ma?

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[@5_gz285]

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

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[@balls4924]

i have a final in an hour lmaoo

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It's me Margaret.

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