Application of Influence Lines - Absolute Maximum Bending Moment (Series of Concentrated Loads)

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  • เผยแพร่เมื่อ 18 ธ.ค. 2024

ความคิดเห็น • 62

  • @AFMathandEngineering
    @AFMathandEngineering  7 ปีที่แล้ว +3

    Click here if you missed our video on the easiest method of drawing influence lines! th-cam.com/video/1AyYglSe3iM/w-d-xo.html

    • @ibraheemsalkini3123
      @ibraheemsalkini3123 6 ปีที่แล้ว +1

      You are very kind 😍🌹

    • @cadebriar9921
      @cadebriar9921 3 ปีที่แล้ว

      i know it is kinda randomly asking but does anybody know of a good place to stream newly released movies online?

    • @desmondsimon6261
      @desmondsimon6261 3 ปีที่แล้ว

      @Cade Briar I watch on FlixZone. You can find it by googling =)

    • @ronanzaid2154
      @ronanzaid2154 3 ปีที่แล้ว

      @Desmond Simon Yup, I've been using flixzone for since april myself :D

    • @cadebriar9921
      @cadebriar9921 3 ปีที่แล้ว

      @Desmond Simon thank you, I went there and it seems to work :) Appreciate it!

  • @walidalaywan6385
    @walidalaywan6385 5 ปีที่แล้ว +15

    I do not see the reasoning behind x is equal to xbar/2. X = 14-xbar = 14ft. - 9.33ft. = 4.67ft. Though answers are too close.

    • @rickyjohnsibog9304
      @rickyjohnsibog9304 8 หลายเดือนก่อน

      Same thought. Now I got confused. Hahaha

    • @goodmanlukhele6873
      @goodmanlukhele6873 7 หลายเดือนก่อน

      he got the right answer but he should have went with the simple logic of x= 14-9.38

  • @learnercivil8435
    @learnercivil8435 6 ปีที่แล้ว +2

    I have a question.
    When you were trying to find the reaction at A... You took help of the resultant force to carry in the moment equation rather than using all the forces individually. Isn't that wrong ??
    Shouldn't the equation of moment at B should have 16*something + 16* something + 4* something - Ra* 50 =0

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว

      Thanks a lot for the comment :) I encourage you to try the method in which you use the resultant, as well as using the individual point loads when taking the moment about B and you'll see that you get an identical answer for Ay. Why? Because we located the resultant and determined its magnitude by the condition that the moment of the resultant about a point equals the sum of the moments of the individual loads about the same point.

    • @learnercivil8435
      @learnercivil8435 6 ปีที่แล้ว

      AF Math & Engineering yes. Ypu are right bro !
      Thanks ..for such great videos and tricks.
      Please upload videos related to RCC designing and column buckling, asap. 🎉🎉🎉

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว

      no problem, thanks for the compliment and the comments! we will add it to our list of videos to make, thanks again!

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว +1

      Learner CIVIL also I forgot to mention, we do have some videos related to rcc design and analysis, check out our concrete playlists!

  • @mehdighasemi4528
    @mehdighasemi4528 2 ปีที่แล้ว

    Thanks for your excellent information

  • @tjkulkute
    @tjkulkute 5 ปีที่แล้ว +1

    Great video. That's help me a lot. But could you guide me how to calculate the ordinate of each point load, then we can take each point load multiple with ordinate to get maximum bending moment. Thank you

    • @AFMathandEngineering
      @AFMathandEngineering  5 ปีที่แล้ว

      Hey, this video was on how to calculate the location of where to place the truck on a simply supported beam. It's related to the influence line of the support layout you have. The point loads themselves are spaced according to the given truck load from the code that you're supposed to design for.

    • @tjkulkute
      @tjkulkute 5 ปีที่แล้ว

      Thank you for quick reply. Could you please make a video that show how to calculate the ordinate of series concentrated load of Influence Line Diagram

    • @AFMathandEngineering
      @AFMathandEngineering  5 ปีที่แล้ว +1

      Yes we will make a video on this topic,.thanks for watching!

  • @vidyapatil2823
    @vidyapatil2823 5 ปีที่แล้ว +1

    sir really it is very helpful..thank you so much.

  • @jjmoncada
    @jjmoncada 5 ปีที่แล้ว

    Hello there, We were asked to consider the following: we need to place as many trucks possible on the beam. E.g. since this one is about 26 long, how many axis can you put on the beam? How would you find the maximum moment of the beam? Any help? Thank you!

    • @AFMathandEngineering
      @AFMathandEngineering  5 ปีที่แล้ว +1

      Hey there, it's an interesting question, it depends if the beam is simply supported. I know in the Canadian bridge design code, they make you design for a uniform load (assuming the bridge is stopped in traffic, so the bridge is full), and a truck (the type of truck, axle layout and load is specified in the code) placed as to create the maximum moment plus a dynamic load factor due to the movement of the one truck. You'd need to be given the amount of axles, space of how many trucks could fit on the bridge, etc...seems like a strange question heh.

  • @nurullfarah1437
    @nurullfarah1437 7 ปีที่แล้ว +1

    i have a question. why is the bending moment happen at the second load of the series??

    • @AFMathandEngineering
      @AFMathandEngineering  7 ปีที่แล้ว +5

      Very good question! So in this video, we place the load between the resultant and the nearest force on the maximum value of the influence line, and the maximum bending moment occurs under the nearest load. If you consider what the bending moment diagram would look like for a series of point loads, it'll be a series of linearly increasing or decreasing lines between the points, where the max will occur under one of the points. As such, this maximum is the load nearest the resultant. Try drawing the shear force and bending moment diagram for this configuration and I think it will be more clear to you.
      Also, if you have a structural analysis textbook, they usually have a good explanation and derivation of this concept. Thanks for commenting, hope that helped.

  • @brraian
    @brraian 4 ปีที่แล้ว

    Hey thanks for the vid.
    I have a question tho. What is the logic behind placing the load such that the distance from it to the CL is equal to the distance from the CL to the Pr as shown in the vid? I understand the use of influence line but I can't seem to connect it with this calculation. Thank you in advance.

  • @alkawther9376
    @alkawther9376 4 ปีที่แล้ว

    Is the concreted load a wheel load or truck load ?

    • @AFMathandEngineering
      @AFMathandEngineering  4 ปีที่แล้ว

      axle load of a truck

    • @alkawther9376
      @alkawther9376 4 ปีที่แล้ว +1

      @@AFMathandEngineering I'm sorry I mean axel load or wheel load.
      Thanx to much

  • @vincepiolodavid4920
    @vincepiolodavid4920 6 ปีที่แล้ว +2

    How about the max shear???? Can we use the right reaction to find the max shear???

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว +1

      The max shear will occur at the support of a simply supported beam. Take the moment about one of the support, find the reactions and the larger is your max shear :D

    • @vincepiolodavid4920
      @vincepiolodavid4920 6 ปีที่แล้ว +1

      Demm men thank you for this i got my final exam right!!!!!!! Bless u bro keep making videos

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว

      Excellent man, glad we could help you! Let us know if you want any specific video topics and well add them to our list. What year are you in btw in school? Cheers!

    • @vincepiolodavid4920
      @vincepiolodavid4920 6 ปีที่แล้ว

      Im in 4th year next semester, studying civil engineering

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว

      Vince Piolo David excellent man good luck, let us know how it goes :)

  • @emilyreid9806
    @emilyreid9806 4 ปีที่แล้ว

    I can understand that the 16k force and Pr should be equidistant from the center of the beam for maximum bending moment, but what's the justification for that? The video doesn't explain that point and I'm curious to know the proof behind it.

  • @vincepiolodavid4920
    @vincepiolodavid4920 6 ปีที่แล้ว +3

    Teach me for our next sem, ULTIMATE STRENGTH DESIGN PLS :D

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว

      That's a good idea, do you mean ULS (ultimate limit state)? Maybe well do a video on the different limit states.

  • @ibraheemsalkini3123
    @ibraheemsalkini3123 6 ปีที่แล้ว +1

    I am very thankful

  • @zeyadsbaih6073
    @zeyadsbaih6073 6 ปีที่แล้ว

    What if the the truck is taller than the beam , how we will calculate the resuiltant force ?

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว

      Sorry, what do you mean by "if the truck is taller than the beam?"

    • @zeyadsbaih6073
      @zeyadsbaih6073 6 ปีที่แล้ว

      AF Math & Engineering i mean the truck lengh if it bigger than the beam span
      Lets suppose that the beam spam is 4 m
      And truck is 6m , then some forces will be outside of the beam , how we will compute the resuiltant? Or how to deal with this case

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว

      Oh, I see. In that case if all axles dont fit on the bridge, you'll need to use two axles instead and place them in the same place like we did in this video.

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว

      zeyad sbaih if you're in civil engineering and you take a course on bridge design you'll definitely go over this subject in detail.

    • @zeyadsbaih6073
      @zeyadsbaih6073 6 ปีที่แล้ว

      If i have 3 axle and two of them only fit , the resuiltant will be calculated from the two axle or all of them ?

  • @emmarizza2053
    @emmarizza2053 4 ปีที่แล้ว

    thank you so much!

  • @gabrielpineda9144
    @gabrielpineda9144 5 ปีที่แล้ว

    you said this is an application for influence line, yet you didn't even use the influence line of the beam ?

    • @AFMathandEngineering
      @AFMathandEngineering  5 ปีที่แล้ว +1

      This is an application of influence lines, where the truck is placed is based on the influence line of the beam, we just didn't draw the influence line itself.

  • @skatershawn410
    @skatershawn410 6 ปีที่แล้ว +3

    based on your moment direction you used the wrong sign when summing the moment at B.

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว +1

      Yup, you're right. The answer ends up being the same regardless, but yeah that's a good find, thanks for your feedback. We will make a note of this.

    • @skatershawn410
      @skatershawn410 6 ปีที่แล้ว

      Also, how again did you determine the max load was under the 16k? I have a problem with 4 point loads and I'm unsure.

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว +2

      With 4 loads it can get trickier as you may have to check both. If you've taken any bridge design courses, or will take them, this is a very common topic in these classes. Typically, the largest load, assuming the adjacent loads are equal or smaller than it is the one where the maximum moment will typically occur. However it may not always be this clear; if you have a structural analysis textbook there's a much longer explanation in that section that you'll probably want to go over. If you scroll below, someone asked as well why the max moment occurs under the highest load, and I gave a relatively detailed explanation on that if you'd like to read it. Hope that helps.

  • @wtf4540
    @wtf4540 4 ปีที่แล้ว

    where is the influence line hahaha

  • @KamalAlogla
    @KamalAlogla 6 ปีที่แล้ว

    I am sorry to say that your calculation is wrong, because the absolute maximum moment in a
    simply supported beam occurs under one of the concentrated forces, such
    that this force is positioned on the beam so that it and the resultant force
    of the system are equidistant from the beam’s center-line ....

    • @AFMathandEngineering
      @AFMathandEngineering  6 ปีที่แล้ว +3

      Before making accusations, you should probably listen to and watch the video more carefully. At 7:47, we clearly state that the maximum bending moment happens under the second axle. This is obvious, as the bending moment will take a linear shape, with a peak occurring at one of the point loads. However, as you can tell from the start of the problem, the question asks to find the maximum bending moment of the truck and the truck's location is not given. You most likely confused yourself by thinking that the steps we used to locate trucks position that would yield the maximum bending moment was where we were locating the moment.
      We never mind constructive criticism, but try to show some humility rather than not really watching or listening to the video and declaring yourself correct and everyone else wrong.