Moment-Area Method - Step by Step Explanation and Solved Example - Deflection and Slope

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  • Опубликовано: 27 окт 2024

Комментарии • 127

  • @AFMathandEngineering
    @AFMathandEngineering  6 лет назад +10

    Thanks for tuning in, let us know if you enjoyed the video in the comments below and what you'd like to see next!
    Example on how to solve for the max deflection using the moment-area method: ruclips.net/video/2RQrSZQJTp4/видео.html
    Difficult hinged practice problem for a continuous beam! ruclips.net/video/YnWRn2jVGc8/видео.html

    • @gordonloong1396
      @gordonloong1396 5 лет назад

      how to get 800/EI and 600/EI ???

    • @AFMathandEngineering
      @AFMathandEngineering  4 года назад

      @@gordonloong1396 Reaction at D (taken at A): (60(20)+40(30))/40 = Rd = 60 kip
      Moment at point B (cut at b, right side of beam) = -40(10)+60(20) = 800. Divide by EI. Will let you solve the rest.

  • @muhammadmubbushirhussain4734
    @muhammadmubbushirhussain4734 3 года назад +18

    You have no idea how this video helped me in my semester .THANK YOU

  • @manpierre571
    @manpierre571 3 месяца назад +1

    Few hours to my final exam and studied this concept and it has helped me much.. 🔥 Thanks man

  • @maheshkumar559
    @maheshkumar559 5 лет назад +3

    I am from India and I love this video because this help very well for preparing my semester exam

  • @jonealmanuel6645
    @jonealmanuel6645 5 лет назад +10

    This is a big help for me
    You can get 800/ei by RA which is 40× distance a to b which is 40×20=800/ei and for 600 RC which is also 60x distance d to c 60x10=600/ei

  • @yukicchi9516
    @yukicchi9516 4 года назад +5

    Thank you for this!! Just, need some review of the topic and this sure helps a lot. 😭

  • @kiran-jh7ze
    @kiran-jh7ze 5 месяцев назад

    Hi, I enjoyed the video a lot, Thank you. Can the same method be used for cantilever beam as well? If so can you make a video on that? Thanks.

  • @ericliu5044
    @ericliu5044 4 года назад +4

    life saver less than a week before my final

  • @kobe2266
    @kobe2266 5 лет назад +2

    Thanks a lot man. You are a life saver.

  • @sarthakkumardas7287
    @sarthakkumardas7287 3 года назад

    PRETTY GOOD EXPLANATION

  • @mohammedalhajri1986
    @mohammedalhajri1986 5 лет назад +2

    you are the best

  • @emmanuelbalino
    @emmanuelbalino 2 месяца назад

    THANK YOU MASTER

  • @roham1981
    @roham1981 5 лет назад +2

    Thanks a lot

  • @Dr.ArunKumarGS
    @Dr.ArunKumarGS 2 года назад

    Very nice explanation

  • @markjosephreyes9021
    @markjosephreyes9021 4 года назад

    Well said and explained sir. just a small comment please don't talk too fast cause I can't catch up what you are saying. Thanks, sir!

    • @ajgarcia3786
      @ajgarcia3786 4 года назад

      you can change the playback speed to 0.75x

  • @simonfryer6075
    @simonfryer6075 4 года назад +2

    It was helpful

  • @dogansahutoglu2073
    @dogansahutoglu2073 3 года назад

    thanks alot, it is very clear and helpful

  • @akebaharper5931
    @akebaharper5931 2 года назад

    we need more of the video

  • @Abdul-c7o1o
    @Abdul-c7o1o 8 месяцев назад

    Thank you very much❤. Just have one question that how did youu get the valve of delta(B) i tried various ways but couldn't get the same answer. 11:40

    • @swagner1112
      @swagner1112 7 месяцев назад

      Multiply the numerator by (12^3) to go from ft^3 to in^3

  • @mwenge6355
    @mwenge6355 2 месяца назад

    Doesnt using this method always give you the same slope at b?

  • @theultimatepeace2322
    @theultimatepeace2322 2 года назад +1

    Love from Indian occupied Kashmir ❤️

  • @anoopgec4818
    @anoopgec4818 2 года назад

    Thankyou thankyou so much. I have to help a student to cheat to get 50$ and this video helped me alot

  • @tajudeenolusegun2304
    @tajudeenolusegun2304 5 месяцев назад

    Thanks

  • @chrisperez4533
    @chrisperez4533 2 года назад +2

    When we're finding delta DA at 7:07 does it matter if we calculate it from D or can we also start at the left from A?

  • @radhikabanerjea6601
    @radhikabanerjea6601 Год назад +1

    Why isn't it tan delta A = opposite over adjacent?

  • @prayingmantisas23
    @prayingmantisas23 4 года назад +2

    Why is the centroid distance that you take for one triangle 1/3 and for the other one 2/3?

    • @AFMathandEngineering
      @AFMathandEngineering  4 года назад +1

      We're taking it from a point, and the triangles are oriented in opposite directions, so one is going to be 2/3 away and 1 is going to be 1/3 away if we're taking moment about the same origin (A).

  • @aswan7714
    @aswan7714 5 лет назад +5

    not all heroes wear capes
    Thanks boss!

  • @Teckelly
    @Teckelly 4 года назад

    I love this.... Thanks.
    One more thing sire, taking moment about ∆BA, you only considered anti-clockwise, why's that?
    Cos I was thinking we'll consider both the CW and ACW moments

    • @AFMathandEngineering
      @AFMathandEngineering  4 года назад +2

      We're taking the magnitude of the moment, the clockwise is just the direction we're assuming to be positive. It has nothing to do with not taking the moment in the other direction. We need to assign a sign convention to forces and moments and be consistent throughout the entire question we don't accidentally, for example, add a downwards and an upwards force.by accident.

    • @Teckelly
      @Teckelly 4 года назад

      Understood 😁😁😁

  • @kunnu6752
    @kunnu6752 11 месяцев назад

    How to find the location of max def with this example? can you help me

  • @NiteshKumar-vr8hp
    @NiteshKumar-vr8hp 3 года назад +1

    I like your handwriting 😁

  • @lealy5695
    @lealy5695 3 года назад +1

    thank youuuu~

  • @mohmera
    @mohmera 5 лет назад +1

    thank You

  • @gilbertcomora5766
    @gilbertcomora5766 2 года назад

    How did you get the delta B? How did you get 2.4 inches

  • @frankmahumuza8425
    @frankmahumuza8425 2 года назад

    thank you sir

  • @jamesvictorfabiodiez7608
    @jamesvictorfabiodiez7608 4 года назад +1

    please help me with the units. i don't understand how the final answer become 2.43 inch while my calculator says different value.

  • @Gagandeepsingh-qs8wq
    @Gagandeepsingh-qs8wq 6 лет назад +3

    wish my nincompoop teacher at university explained like this.

  • @AndresGarcia-cl6td
    @AndresGarcia-cl6td Год назад

    Hello in the delta DA in the big triangle for the centroid shouldn't it be [((800*20)/2)*(20+(40/3)) bc the formula 2/3*b in the other triangles our base was 10ft but in this big one is 20ft
    fast response from everyone please my exam is tomorrow

  • @fitb_35_alvitofarandy68
    @fitb_35_alvitofarandy68 3 года назад

    Can we use this method if there is a distributed load?

  • @itaizrihan5701
    @itaizrihan5701 4 года назад

    can u help me with similar question?

  • @derrickrono3075
    @derrickrono3075 4 года назад

    When you took moments of the M/EI diagram about D, was that mandatory? Would taking mmoments about A be wrong?

    • @AFMathandEngineering
      @AFMathandEngineering  4 года назад

      Nope you'll get the same.answer.

    • @derrickrono3075
      @derrickrono3075 4 года назад

      @@AFMathandEngineering OK. Thanks a lot.

    • @herwin4946
      @herwin4946 4 года назад

      @@AFMathandEngineering I tried taking moments about A form M/EI diagram, i've got 513333/EI, which is a different asnwer. Did i calculated it wrong ?

  • @matheusbayu6514
    @matheusbayu6514 3 года назад

    why the area of ​​the moment diagram from B to A is not deltaBA + deltaB, while the area of ​​the moment diagram D to A is deltaDA

  • @niketanchettri5650
    @niketanchettri5650 6 лет назад +2

    Amazing

  • @SukhpreetSingh-fv9wt
    @SukhpreetSingh-fv9wt 6 лет назад +1

    HI, HOW DID YOU GET 800 AND 600 DEVIDED BY EI THERE

    • @AFMathandEngineering
      @AFMathandEngineering  6 лет назад +1

      Sukhpreet Brar draw the bending moment diagram and divide by EI.

  • @sangbryan6028
    @sangbryan6028 4 года назад +2

    Can someone who understood where the (800/EI) and the (600/EI) came from explain it to me?

    • @AFMathandEngineering
      @AFMathandEngineering  4 года назад +1

      Solve and draw the bending moment diagram and divide all of the terms by EI (doesn't change their values).

  • @jervinnabo940
    @jervinnabo940 5 лет назад +1

    Nice video!

  • @johnanthony906
    @johnanthony906 4 года назад

    At 9:10 min, where did you get the 12^2?

    • @AFMathandEngineering
      @AFMathandEngineering  4 года назад +2

      Need to convert feet to inches or inches to feet, whichever you want. 12 inches in a foot.

    • @johnanthony906
      @johnanthony906 4 года назад

      @@AFMathandEngineering Thanks Sir!

    • @freemankenyoane2883
      @freemankenyoane2883 4 года назад

      @@AFMathandEngineering Thanks. Was confused with that too because my country uses SI system. Thank you again

  • @kenjiloh7783
    @kenjiloh7783 6 лет назад +1

    at 11;04 min, while finding delta BA, why issit multiply (20/3) instead of multiplying (40/3) since u take x bar from left.

    • @AFMathandEngineering
      @AFMathandEngineering  6 лет назад +1

      KENJI LOH when finding delta ba we take the moment area about B between B and A, this x bar is 20 / 3.

  • @n0rth_219
    @n0rth_219 2 года назад

    What's the value of E and I??? I cannot read it.

  • @onlyone481
    @onlyone481 6 лет назад +2

    Engr. how to find the maximum deflection in area method? Thank you 😇

    • @AFMathandEngineering
      @AFMathandEngineering  6 лет назад

      Thanks for the comment, good question! You need to take advantage of the fact that at the point of the maximum deflection, the slope of the tangent is 0. I'll make my next video on this topic, stay tuned :D

    • @onlyone481
      @onlyone481 6 лет назад +2

      AF Math & Engineering thank you on this video is very usefull for student like me.

    • @AFMathandEngineering
      @AFMathandEngineering  6 лет назад

      Great man! We love to hear feedback from our viewers, and we're glad it helped. Are you a Civil Engineering student?

    • @onlyone481
      @onlyone481 6 лет назад +1

      AF Math & Engineering yes sir.. I am currently studying and Philippines.

    • @AFMathandEngineering
      @AFMathandEngineering  6 лет назад

      Great...are you enjoying your time so far? What year are you in? Please let us know if you hear of any particular problems you or your classmates have and we'd be happy to help :D

  • @nishanifernando1047
    @nishanifernando1047 6 лет назад +2

    Thanx...

  • @ohenekwekukonaduoppong4752
    @ohenekwekukonaduoppong4752 6 лет назад

    how did u get the maximum moment which is 800/EI and 600/EI

  • @muhammadfahad8627
    @muhammadfahad8627 5 лет назад

    sir i am not able to understand why delta B is 2.41in and not 0.2 in

    • @AFMathandEngineering
      @AFMathandEngineering  5 лет назад

      What part specifically don't you understand? The entire video is finding delta B. Is there a step you got something different on?

  • @pratikpatil9806
    @pratikpatil9806 3 года назад

    Are you sure you're not MKBHD?

  • @TeamMananap
    @TeamMananap 5 лет назад

    sir pls answer me. how did you get the 800 and 600 . thank you

    • @AFMathandEngineering
      @AFMathandEngineering  5 лет назад +1

      It's mentioned in the video, also read some of the previous comments some people asked the same thing

  • @yoonabii2007
    @yoonabii2007 5 лет назад

    Is it 600/EI ? I got 400/EI.

  • @Spongesauce90
    @Spongesauce90 2 года назад

    How did I get here? I barely know how to do fractions 😂

  • @kane7283
    @kane7283 Год назад

    CAN SOMEBODY PLEASE EXPLAIN TO ME WHY 40FT IS THE ADJACENT AND WHY ISN'T IT NOT DELTA DA? 40 FT IS CLEARLY OPPOSITE OF THE LONGER SIDE!!!

  • @samanthadelpilar7876
    @samanthadelpilar7876 5 лет назад

    How did (8500/EI)x20-(53333/EI) become 2.43in???

    • @AFMathandEngineering
      @AFMathandEngineering  5 лет назад

      Did you try converting the units and calculating it?

    • @AFMathandEngineering
      @AFMathandEngineering  5 лет назад +1

      I answered the same question for another person, here's the response below.
      The units of the original equation are kip-ft^3, so you should have 116,667 kp-ft^3 * (12)^3 / 1800 * 46000 depending on the units you want to use.

  • @lesiaamavere6587
    @lesiaamavere6587 5 лет назад

    800EI and 600EI ????????

    • @AFMathandEngineering
      @AFMathandEngineering  5 лет назад

      As mentioned in the video, calculate the bending moment diagram, divide by EI

    • @soniamatteazzi1561
      @soniamatteazzi1561 5 лет назад

      Did you find out how he got those numbers?????

    • @AFMathandEngineering
      @AFMathandEngineering  5 лет назад

      It's mentioned multiple times in the comments and the video, just calculate the bending moment diagram and divide by ei

  • @WFAP23
    @WFAP23 4 года назад

    not seeing how you got 800 and 600
    im getting 600 and 200

    • @AFMathandEngineering
      @AFMathandEngineering  4 года назад +1

      Not trying to be mean by saying this but if you can't solve the 800 600 here you really need to go back and review how to solve your bending moment diagrams, if you're at this point and can't solve them you'll be in trouble on your exam, this one is extremely straight forward.
      Reaction at D (taken at A): (60(20)+40(30))/40 = Rd = 60 kip
      Moment at point B (cut at b, right side of beam) = -40(10)+60(20) = 800. Divide by EI. Will let you solve the rest.

  • @fiaksenyo9649
    @fiaksenyo9649 6 месяцев назад

    You dey rush

  • @diegolopezpereyra9721
    @diegolopezpereyra9721 4 года назад

    te amo

  • @mAymanov
    @mAymanov 6 лет назад

    so what about over hanged cantilever beam with uniform load allover the beam??
    how can i calculate the angle of the support beside the cantilever??
    thank you 😇

    • @AFMathandEngineering
      @AFMathandEngineering  6 лет назад +1

      good question! so because the load condition changes, the M/EI diagram will change. Then, you need to sketch the elastic curve, use the relationships we showed in this and the other two videos and you're good. You'll take the reference tangent as the one beside the cantilever, you know the deflection at the far support is 0, so that would be delta BA, assuming your supports are labelled AB from left to right. Then use the techniques we showed in these videos to solve directly for the rotation. Hope that helps :D

    • @mAymanov
      @mAymanov 6 лет назад +1

      ok good
      but if it was a double overhanging cantilevers, how will i deal with that??

    • @AFMathandEngineering
      @AFMathandEngineering  6 лет назад +1

      In this method, you always just start by drawing the shear and bending moment diagrams. Once you have these, you can sketch the elastic curve and just continue with the same methods for any question. If you understand that you can always find the distance between the tangent and the support, you can use the methods outlined in these videos to solve it. The techniques for solving different methods though you'll have to practice problems in your book after gaining the understanding from either your professor or videos like ours. Good luck!

    • @mAymanov
      @mAymanov 6 лет назад +1

      got it
      thanks a lot 😍

    • @AFMathandEngineering
      @AFMathandEngineering  6 лет назад +1

      no problem man, welcome to the channel :)

  • @muhammadmusa5009
    @muhammadmusa5009 Год назад +1

    I have no learning in this video

  • @bharathnalla8665
    @bharathnalla8665 4 года назад

    sexy

  • @venkykrishnan
    @venkykrishnan 6 лет назад

    Ni yabba ardam ayinattu slow cheppu bey

  • @CLICKS14
    @CLICKS14 2 года назад

    sir how at last deflecion will be calculated plz describe also with coversion

  • @sosoalsabahi3784
    @sosoalsabahi3784 5 лет назад +1

    Awesome you are my hero

  • @hhcdghjjgsdrt235
    @hhcdghjjgsdrt235 3 года назад

    thank u sir