Area Moment Method Part 1 - Basic Concepts | Theory of Structures

Theorem I
The change in slope between the tangents drawn to the elastic curve at any two points A and B is equal to the product of 1/EI multiplied by the area of the moment diagram between these two points.
Theorem II
The deviation of any point B relative to the tangent drawn to the elastic curve at any other point A, in a direction perpendicular to the original position of the beam, is equal to the product of 1/EI multiplied by the moment of an area about B of that part of the moment diagram between points A and B.
Area Moment Method:
Part 1: This Video
Part 2: • Area Moment Method Par...
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[@redcube9629]

Seriously this guy doesn't get enough credit. Kahit thick ung accent ni sir, mas madaling pakingan ung explanation nya kaysa sa mga indian tutorial vids. kuddos sir

[@MATHalino1]

Thank you for your kind words. So nice of you.

[@rceby2024]

Nakailang youtube videos na ako, ito lang yung nagpaintindi sakin nung derivation. Late gratitude sir! Kudos!

[@erzcav4793]

you have no idea how you've helped me so much in my studies! THANK YOU SIR! i hope many others will benefit from this channel and your website!

[@diddid7491]

sir ka-style niyo yung prof ko sa structural theory! GREAT!

[@ratankumarbiswas336]

Excellent teaching...kindly make the video Conjugated beam method.

[@themarupokers9820]

thank you Sir. I've watched a lot of video tutorials, but this is the best. keep on educating us Sir. God bless and more power..

[@MATHalino1]

Thanks

[@rvcypz3288]

Harhar sir!

[@angelmaemendez1758]

I’m so happy u have this channel 😭

[@MATHalino1]

I'm glad it made you happy.

[@nevagengrino842]

Harhar!! The best ka tlaga sir!❤️

[@HunterJ]

ahhhhh!! na miss ko mag turo sa review si Sir Vertera... 😭😭😭
#proudRIstudent

[@MATHalino1]

Pa burger ka kasi.

[@matthewandredelacruz9275]

Nakatabang gyud ug dako sa akoa samtang nagastudy ug ES 13 sa UP. Salamat sir. =)

[@jasmindizon]

Salamat po sa lahat Ng tulong....❤️❤️❤️

[@MATHalino1]

Thanks din po.

[@davidmeapa810]

best explained...thank you for the great effort>>

[@mahmudulhasanmamun2046]

plz make a video of bending moment method by parts.i cant understand it.

[@lanzemyerdizon7470]

Thank you sir!

[@charandeep4068]

perfect.. Thanks

[@MATHalino1]

Glad it helped!

[@HIIIMM2]

How to compute the maximum deflection using this method sir?

[@bryansuliguin0811]

Very informative SIr. Thanks!

[@MATHalino1]

Salamat din... share mo ha.

[@erwinjedracho640]

@10:09 why is the moment digram by parts of Ma -10. isnt is supposed to be 10 hence the moment in parts is in the upper part of the graph.

[@MATHalino1]

The sign of moment depends on which direction (upward is positive and downward is negative) for the beam bends relative to your moment centre. @10:09 the moment centre is point B and Ma causes the beam to bend downward about point B.

[@jamespaulsobredo4151]

Mathalino number 1

[@MATHalino1]

Thank you po.

[@jamespaulsobredo4151]

@@MATHalino1 ♥️🥰

[@walidalasad7056]

Thanks a lot

[@millenijamuda5635]

I wish I had discovered the mathalino channel sooner. This website has been extremely beneficial to me since I discovered it. 💕💕
Thank you very much, sir. My heartfelt gratitude from INDIA.🇮🇳🇮🇳

[@ryanarius9359]

Hello sir hopefully you can see this comment. I was just wondering about how you were able to determine the locations of 3 points/ centroids of the area ?

[@MATHalino1]

Go to 6:53 for centroids of spandrel.

[@ryanarius9359]

@@MATHalino1 ohhhh ok sir thank you

[@jahbobby3642]

ty sir

[@hassanmukhtar3326]

what graphics software are you using to do your lessons and demos

[@MATHalino1]

Microsoft Powerpoint.

[@hassanmukhtar3326]

@@MATHalino1 Thank you, very well done

[@gallajahdtan2192]

Harhar

[@CivilThinking]

It's amazing where are you from??

[@MATHalino1]

I am from Philippines. Happy viewing.

[@Jjared-ff9km]

@9:22 Ma=4(1) x 2.5 = 10KN.m saan po nakuha yung 2.5??

[@mhilfredsantos6045]

2m from the point A to the centroid of load 1m÷2. 2m + .5= 2.5

[@gnidnoeled786]

@MATHalino Sir ang moment at A ay reaction moment at the support kaya sya clockwise?

[@MATHalino1]

dahil po yan sa load, kung mag reverse ang direction ng load, magreverse din ang rotation moment.

[@gnidnoeled786]

@@MATHalino1 Thanks po sa sagot nyo.
Ibig sabihin po reaction nga dahil reverse or opposite ang direction ng moment sa support?

[@MATHalino1]

anong time-stamp ang tinutukoy mo?

[@jeremybenedicto3701]

10:12 pano po naging 2 yung magnitude?
paexplain po. thanks!

[@gnidnoeled786]

-2 is obtained from 4 kN/m uniform load x 1 m length of the uniform load x 0.5 m the moment arm of the uniform load from point B.

[@joelmislos7387]

Ayos Sir, musta na? Pakikumusta nalang ako kay Sir Diego.

[@MATHalino1]

Maayo man, ikaw kumusta man pud. Pinaka banggiitan jud na si sir Diegs, sige ikumusta tika.

[@captainwiththegang4767]

Boom!

[@MATHalino1]

harhar

[@Dr.ArunKumarGS]

Sir you are explaining in Spanish or Mexican i don't know but it is difficult to understand your accent....

[@MATHalino1]

i am explaining to earthlings...my accent is plutonian, so cool.

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chicken joy!!!

[@MATHalino1]

Harhar!

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Boom chickenjoy harhar magandang lalake ako sainyong lahat wala lang sinabi ko lang

[@MATHalino1]

hahahaha, inubos mo na.

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Chickenjoy

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RI NUMBAWAN

[@traveneer1]

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Baka maperfect mu lowkey lang dapat

[@paologuray8627]

hahahaha wen lowkey lang dami ko na nga nakalimutan e

[@sakethvasanthawada3269]

Annoying background music!