Moment Area Method Example 2 - Structural Analysis

Using the moment area theorems to calculate slopes and deflections in a cantilever beam with a little more complicated loading than example 1...but still a cantilever.

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Jeff Hanson Junior

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You did that better than my professor

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Hey man, just wanted to thank you for this video along with all your videos. They have really helped clear up my muddled understanding of my structures classes that I barely attend because of how early it is/how difficult it is to understand. But you explain this stuff in a way that makes it so simple, keep doing what you do, you are greatly appreciate bro.

[@structurefree]

Kassra Rafiee Thank you for your comment. It is very encouraging and humbling to know that the videos are helpful outside of my own university. Let me know when you graduate!

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[@Babymilo49]

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Very nice example. Good video quality and excellent audio.

[@user-ry3ru9it9x]

very interesting way to make one understand a complicated problem. thank you very much for this video

[@nurulnabilahabdulrahim910]

hello, can i ask a question. why the moment A is negative (-54kn.m) in the moment diagram eventhough it is positive actually like calculation in the reaction, which is +54kn.m.

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[@structurefree]

+Ammar Abbasi ha, ha, ha! thanks. i'll try to make a million videos so that you can reach your goal of liking them a million times.

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Very Simple & Straight forward subscribed for future reference.

[@bikashpadhi5365]

Quite a lesson... :).. keep clearing doubts sir

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Best video for M/EI diagram ever.

[@structurefree]

Thank you!

[@malloott]

Man i love your video's, laid back but extremely clear with well made drawings. My teacher never explained this method but its so mutch easier to use in allot of cases. Where do i donate allot of love and a a little moneys? :P

[@cahayaislam1285]

sorry i just dont get on why 18 kN/m be at the middle between A and B?

[@m.shaihanayub7179]

Really helpful!! No need of asking anything!! thumbs up.... :)

[@GAMMASTAR321]

Why does the moment graph below the x axis and not on top of the x axis

[@structurefree]

According to the sign convention that I use for internal loading, moments that cause compression at the bottom of the beam cross-section are considered negative internal bending moments.

[@GAMMASTAR321]

structurefree owh i understand thank you

[@calvintolledo9269]

Amen to you @structurefree for not using functions, it helps alot

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this video showed up 2hours before my exam thank goodness

[@qadeemullahkhan8070]

Thanks sir very good teaching method..... effective way.👌👌

[@enigma3432]

So sorry. I am very confused as to why the 54 on your moment diagram is negative even though your sign convention says anticlockwise is positive. Thank you :)

[@structurefree]

The shear and moment diagrams use an internal positive sign convention. Equilibrium equations use a global reference frame where counter clockwise is positive.

[@AnandSingh-md8os]

MA is 54KNm positive for this sign convention

[@yoshitasahishnaa]

Anand Singh The anticlockwise moment is by the fixed end. As in that's how the support... in this case fixed...restrains the clockwise moment of the beam. The BMD is drawn for the beam. Hence accordingly its shown negative as it is clockwise.

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Excellent!! Well done!!

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This helped me a lot, thanks champ!!

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Thank you for your explanation it really helped me.

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Thank you very much sir. I learned a lot from you.

[@Spreading_Smile]

very helpful lecture

[@PurpleNurpple]

You are AWESOME!!

[@Adam-mh8bb]

Thank you

[@fernandezjayar]

Sir, i just want to clarify, -MA+18-(6x6)=0, answer is -18kN-m...it was being thought in school that clockwise is positive and counterclockwise is negative or if vice versa the answer is still the same..but there the answer is -54kN-m..i'm sorry, that is so confusing..

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hey are have any explanation for matrix method (stiffness method )

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[@structurefree]

+Aasif Rasool Thank you!

[@calvinalmojano5822]

Its really clear now. Thanks!!!

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yet again you saved my ass

[@jumanakhouri2314]

i am not sure when choosing the centroid , which side to start from, you were mentioning fat ad skinny side , I am still confused about it lol

[@jaeseow7805]

Think about it this way. If you were to place the triangle on say, a ruler, and wanted it to be perfectly balanced and level, where would you place the ruler? It would be closer to the fat side to accomodate for all the extra fat. Same principle applies. The centroid (note "center") of the triangle is 1/3 from the fat side to accomdate the extra fat, or 2/3 from the skinny side because its skinny.

[@bryant3760]

thank you so much. last question. if deflection at c is distance between tan a to c, then what is slope?

[@hkapo3558]

Thanks alot you better than my doctors😂

[@TheJazmincastro]

If there wasn't an applied load at point C, how would the deflection diagram look?

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perfectly taught

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Are you by any chance a professor? Either way you exceed the teaching skills and humor of our prof, a dean on our college 😁

[@marianjoycemacadine04261995]

Why does the unit of θ B kn.m2 ? shouldn't it be in radians, since it is an angle?

[@structurefree]

marian joyce macadine if we substituted values and units for E and I, the units would come out to radians. i hope that helps.

[@kennethllorera1830]

it has a divisor of EI wich will remove the KNm^2

[@ramkumarr1021]

Is it completely right cause while finding x bar won't we need to divide Sigma AiXi by Sigma Ai?

[@FaReS4201]

Can you please tell me how did you know that those moment will be concave down ? thank you ..

[@georgehanna8768]

There is a major problem in finding the angle at B, he didn't include the area of the rectangle under the curve, only the triangle!

[@nuke123ful]

He calculated the area of the trapezoid, which is the combination of the rectangle and triangle

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very helpful.

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Hey, thanks so much for these videos. You should be like another Salman Khan or collab with him!

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You just saved me from bombing my test tomorrow because of a shitty professor, Thanks!

[@Cr4kin]

+Nick M same here dude ! o.o

[@structurefree]

I hope you passed!

[@NickM-engineering]

Haha yep! 93 :)

[@lostkm]

could u do plastic analysis pleaseee

[@isipdonmarhln.8528]

how to get the maximum deflection using this method ?

[@sharjeelhassan8628]

thanks a lot

[@jamyangkhandu4201]

how did u actually draw the moment diagram

[@structurefree]

It may help to practice drawing some moment diagrams before jumping to the moment area method. Check out my statics or mechanics of materials playlists.

[@apriljoymacatangay5790]

Thank you so much!

[@NicholleWillisLoves]

My professor had a beam with “4i” written under one section of the beam and “i” written under the other half of that beam; would that be an example of when the curvature diagram would not bead straight forward because EI changes??

[@nieljoycedegorio2308]

how is it -675, when I got -729 in my calculator?

[@dd2711]

thank you, you champ!

[@muhammadadel5256]

You had divided the moment by EI and said that the curvature now is the same as the moment BUT I think this is not true because the moment diagram is a function and dividing it by some value will cause changes to the slopes .... changing tthe shape of the diagram itself ! Only subtraction and addition are allowed with a transition of the curve but keeping the same shape

[@noel7348]

magic breaked ☺

[@cahayaislam1285]

sorry.. how did u get 36 kN/m ?

[@raphaelchristiansumalpong2337]

hey. what books or reference are you using?

[@AK-hd5gh]

very helpful thanks chief

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i think it was good class

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thank you too much,so much,very much...

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Awesome

[@structurefree]

Thank you!

[@freemankenyoane2883]

Hello please can you make a pdf of the content of this video ... it would be helpful.. Thanks by the way

[@Babymilo49]

you can screenshot

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so i guess i'm still a small fry... well done

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it's all good...fewer calories.

[@portnet31]

lol, thanks man.... this was very helpfull

[@technow121]

m^3 not m^2 like in virtual method????

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M8 U R GOD !

[@mwenge6355]

Guys can anyone suggest to me someone who explains this topic properly. I'm not understanding anything

[@harshbhasin760]

Back when you could use the word fat :(

[@structurefree]

I am saying "phat"...not "fat"...😁

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got a min 675 to figure out how

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Practice?!?! We talkin' about practice? Not a game...practice?!

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hey man, im learning civil engineering in israel, and im trying to find a video on a certain topic that i can only translate from hebrew as "loading points method" where you load a unit force on certain points after breaking up the structure into sub-structures. its an aditional (other than the muller method) method to finding influence line. hope you can help! your videos are awesome!

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thank you