Mechanics of Materials: Lesson 30 - Shear Moment Diagram, Equation Method...Challenging!

𝐌𝐲 𝐄𝐧𝐠𝐢𝐧𝐞𝐞𝐫𝐢𝐧𝐠 𝐍𝐨𝐭𝐞𝐛𝐨𝐨𝐤 for notes! Has graph paper, study tips, and Some Sudoku puzzles or downtime between classes! amzn.to/3pTSZXw
𝐄𝐧𝐠𝐢𝐧𝐞𝐞𝐫𝐬 𝐏𝐮𝐳𝐳𝐥𝐞 𝐁𝐨𝐨𝐤 Sodoku, Mazes, Word Search, Word Scramble - 400 puzzles and solutions - Perfect Gift! amzn.to/3KxtS3L
𝐂𝐚𝐩𝐬𝐭𝐨𝐧𝐞 𝐃𝐞𝐬𝐢𝐠𝐧 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 For your senior design project documentation! 100 pages of numbered graph papers. amzn.to/3OtZJ6z
𝐅𝐄 𝐑𝐞𝐯𝐢𝐞𝐰 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 For you notes and work while preparing for the FE Exam. 100 pages of graph paper! amzn.to/3ONRILn
𝐏𝐄 𝐉𝐨𝐮𝐫𝐧𝐚𝐥 𝐒𝐓𝐀𝐑 𝐋𝐨𝐠 Record your projects in preparation of your PE application or for your annual review at work...(Situation, Task, Analysis, Results) amzn.to/3rjyAMp
𝐇𝐨𝐰 𝐭𝐨 𝐀𝐜𝐞 𝐒𝐭𝐚𝐭𝐢𝐜𝐬 Great book to review or have on your shelf to make sure you never forget Statics! amzn.to/455QRKM
Top 15 Items Every Engineering Student Should Have!
1) TI 36X Pro Calculator amzn.to/2SRJWkQ
2) Circle/Angle Maker amzn.to/2SVIOwB
3) Engineering Paper amzn.to/2K7vYbP
4) Mechanical Pencils 40pk amzn.to/2GGRG4y
5) Desk/Bed Clamp Reading Light amzn.to/2YzN5qG
6) Stainless Steel Rulers amzn.to/31aqMcP
7) Small Stapler amzn.to/2ynDOrk
8) Post it Tabs for Page Markers amzn.to/2SSIP4q
9) Noise Canceling Wireless Headphones amzn.to/3aMLbdY
10) Wireless Mouse amzn.to/2ROkY5Y
11) Multicolor Pen/Pencil amzn.to/3331AXy
12) Portable Charger amzn.to/2RsitHG
13) Backpack Rain Cover amzn.to/2Gq4ATM
14) Amazon Dot amzn.to/2Gs42g4
15) Portable Bluetooth Speaker amzn.to/3aIMZV0
This video is NOT sponsored. Some product links are affiliate links which mean if you buy something we'll receive a small commission.
Follow me on Instagram / jeff_hanson_phd
Please consider supporting the channel by subscribing, commenting, and liking each video. This moves these videos up the search list and helps me greatly. Thank you for watching.
My Patreon: / jeff_hanson Please help keep the free videos coming by donating. Thank you for the many blessings.
This video is copyrighted by the Jeff Hanson for the private use of our audience. Any other use of this video or any pictures, descriptions, or accounts of the video without written consent from Jeff Hanson is strictly prohibited.

Пікірлер: 89

  • @ZeonLP
    @ZeonLP2 жыл бұрын

    Your teaching style is amazing. In the statics books I have read, they love to overcomplicate these things, when in reality it can be very clear and intuitive if someone explains it in such good way.

  • @bobosamathcee
    @bobosamathcee3 жыл бұрын

    Hands up for you sir. In this pandemic we need a professor like you ,👋

  • @iSustainnn

    @iSustainnn

    2 жыл бұрын

    Bobo rin ako sa math pero hinding hindi susuko! haha

  • @nabilabsar4237
    @nabilabsar4237 Жыл бұрын

    I love you man. You just cleared my conceptions about shear force and bending moment diagrams. May God give you good health and all the happiness you desire. Loved your videos, Thank you so much.

  • @manuboker1
    @manuboker12 жыл бұрын

    Wonderful solids lessons!! really taking the time to explain the problems along with a good sense of humor :))

  • @1light4love
    @1light4love2 жыл бұрын

    🤣 Im just here for 7:35... 'and THEN what? BAM!'.... it just keeps getting better🤪🤓👍 Thanks for always clarifying my midnight Strengths HW insanity.... with smiles worth replaying.

  • @busybee4762
    @busybee47622 жыл бұрын

    you are the best professor i ever had .god bless you

  • @vansinhnguyen7578
    @vansinhnguyen75783 жыл бұрын

    Thanks Jeff!!! Your lessons that make me recall exactly when I was in Civil class sometime in 25 years ago. Appreciated Sir.

  • @AdventuringtheWild
    @AdventuringtheWild3 ай бұрын

    Great Explaination! This actually makes so much sense now:) Thank you!

  • @gavinyu6251
    @gavinyu62512 жыл бұрын

    Thank you I’ve been looking for a solution for this kind of load for ages

  • @MeesBorg
    @MeesBorg3 жыл бұрын

    Very clear explanation, thanks for this. Can we make a formula for the whole beam or only for the part we cut? I noticed in this example that when you try to enter a value of 6 for x you get weird numbers which don't add up. I am in particular curious about this because this problem has a linear load that stops in the middle and thus these are two different loads. I can imagine when the load continued to the end 1 equation is easier.

  • @ksa2479
    @ksa2479 Жыл бұрын

    Thanks For Ur great effort Dr.Jeff , But I think it's quite enough to Find the moment and derive the equation to get the shear force directly or integrate the shear force to find the moment.

  • @study7999
    @study79994 ай бұрын

    for those who dose understand why y=9-2x.I think the best way to understand is that the x is negative in x-yplan. but we need a positive distance to compute the total force in rectangle.

  • @study7999

    @study7999

    4 ай бұрын

    also, you can just use Y=2x+9, and put the negatiove sing on the x, when compute the total force area.

  • @Zain69z

    @Zain69z

    3 ай бұрын

    Thanks But don't worry I still don't understand. It's like i have no idea what he's talking about. I remember solving equations like this one on my own but in a completely different way

  • @alishad9777
    @alishad97773 жыл бұрын

    Your videos are great Jeff! Thank you for posting. This one was tough, hopefully The exam probs aren't this hard. I could not wrap my head around the equation y=9-2x

  • @ashikrahman5370

    @ashikrahman5370

    2 жыл бұрын

    He took (0, 0) point at B. Which makes tan(6/-3) and intercetps at 9 on Y axis.

  • @roccovigorelli2322

    @roccovigorelli2322

    2 жыл бұрын

    He tooks B as (0,0) and in the function Y=2x+9 he makes the sostitution x=-x, (as the x has to be negative in the graph) in order to find the Y required, and in this way it comes out Y=2(-x)+9

  • @study7999

    @study7999

    4 ай бұрын

    I don not get it the slop should be positive when apply in math.@@ashikrahman5370

  • @study7999

    @study7999

    4 ай бұрын

    Why the sositution should be x=-x. @@roccovigorelli2322

  • @Ahmed-de8qn
    @Ahmed-de8qn Жыл бұрын

    Good work Dr Hanson

  • @DazzSpace
    @DazzSpace2 жыл бұрын

    Awesome presentation. I like your humor. 😚

  • @iqtime1400
    @iqtime14003 жыл бұрын

    אתה באמת מלך

  • @HandNoteLala
    @HandNoteLala Жыл бұрын

    thank you for the lesson..the video helped me sooo much for my final exam

  • @ericescobar5794
    @ericescobar57943 жыл бұрын

    Can you add this video to your statics playlist also? I didn't know about this video and had to deal with more advanced problems like this in statics. is there a video with these diagrams but with back to back triangles (both max heights at the center) on a cantilevered beam? im having trouble once i get to the second triangle.

  • @user-gg8ib9mk5d
    @user-gg8ib9mk5d7 ай бұрын

    thank you for the lesson

  • @eykaaaa99
    @eykaaaa993 жыл бұрын

    Why i sub x=6 in the moment eq i get -4.5 not zero?

  • @sunmichoi6888
    @sunmichoi68882 жыл бұрын

    Thank you !!!!!

  • @desalegnhunduma1968
    @desalegnhunduma1968Ай бұрын

    Interesting lecture.

  • @nankundaarnold6486
    @nankundaarnold64863 жыл бұрын

    absolutely and completely helpful (kowtow)

  • @robiyonas1401
    @robiyonas14014 жыл бұрын

    thank you for re uploading

  • @fretekeste
    @fretekeste3 жыл бұрын

    Thank you sir

  • @xi.mipa.1_farisalfian222
    @xi.mipa.1_farisalfian222Ай бұрын

    love u man

  • @tatjoni
    @tatjoni2 жыл бұрын

    Might want to mention the limits for x where functions apply?

  • @angeloumagboo8848
    @angeloumagboo88483 жыл бұрын

    thank youuuu

  • @solomonmule3414
    @solomonmule3414 Жыл бұрын

    my question is why did you sir have to put a negative for x @ 14:11

  • @gregpechey1559

    @gregpechey1559

    10 ай бұрын

    hello did you manage to find the reason for this?

  • @user-xo4rm4le1i
    @user-xo4rm4le1i3 жыл бұрын

    Think so much from UN. OF Mosul

  • @karanchowdhary5969
    @karanchowdhary59693 жыл бұрын

    Nice teacher

  • @solomon12366
    @solomon123662 ай бұрын

    Hi Jeff. Im confused about something. Why is the bending moment diagram sloping up instead of down after the 3 meter mark? I get the straight line from 0 to 3 (first half) but why curve the line upwards on the bending moment diagram?

  • @tiaanjansevanrensburg2762
    @tiaanjansevanrensburg27623 жыл бұрын

    #1 Professor

  • @ramaiskandarani1456
    @ramaiskandarani14563 жыл бұрын

    Can you please explain from where you got y=6/3(x)+9 I did not understand that one

  • @mrperfect00720

    @mrperfect00720

    3 жыл бұрын

    I think, it should be like y=6/3(x)+ 3

  • @PHOKTharat

    @PHOKTharat

    3 жыл бұрын

    Haha me too. If he found X from the A part, it would be easier to understand. Another video can help...

  • @lukehunter2362

    @lukehunter2362

    3 жыл бұрын

    No it is correct. We are assuming the 9 is the y intercept of the equation of a line y=Mx+b. The reason it’s 6/3 is rise/run and the slope was made negative because it’s is going downward from the intercept. When you want to know if the slope is positive or negative follow the line from the intercept

  • @lukehunter2362

    @lukehunter2362

    3 жыл бұрын

    If we were solving the top part of the triangle the intercept would be at 3 and the slope would be a positive 2x

  • @johngentry29
    @johngentry2912 күн бұрын

    I have a question: At 7:35, wouldn't the shear graph drop straight down 3 kN before becoming parabolic?

  • @arc5578
    @arc55782 жыл бұрын

    can someone explain on how or why did he put negative on the 2x ? I'm only confuse on that part. I've been reading the comments but I seem to still not get it.

  • @vikneshmaniam5618

    @vikneshmaniam5618

    2 жыл бұрын

    me too bro, isnt the slope upwards

  • @leoromo74

    @leoromo74

    2 жыл бұрын

    @@vikneshmaniam5618 Look at it like a coordinate system. On his diagram his origin is on the right side of the beam where By=14.25 points upward (14:04). The slope is indeed going up where y=2x+9. At the origin x=0, so y=9 which makes sense because the force distribution at that point is 9kN/m. The height at the other end of the beam lies on top of the negative x axis of the coordinate system (quadrant II). If the function f(x)=2x+9 and x is (-x) then y=-2x+9. I hope that makes sense

  • @RK-tr7wo
    @RK-tr7wo4 жыл бұрын

    Great example sir !!

  • @barunrahiroy3687

    @barunrahiroy3687

    3 жыл бұрын

    A great one indeed 👍

  • @rezafatahi1948
    @rezafatahi1948 Жыл бұрын

    Good

  • @WonderingNobody
    @WonderingNobody3 жыл бұрын

    Sir could you please make video on finding Shear force and Moment using heavy side notation or step function ? And with different types of distributed forces like UDL and UVL as well as support ?

  • @notyourbusiness8672

    @notyourbusiness8672

    2 жыл бұрын

    Freshman humor 🙄

  • @DOBLY69-99
    @DOBLY69-99 Жыл бұрын

    why when i put 6 for the x in the moment equation it doesn't give me zero. what did i do wrong?

  • @bhamuzasiphamandla5560
    @bhamuzasiphamandla55603 жыл бұрын

    thank you sir !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Take me home :) :) :)

  • @ellyvatedaf
    @ellyvatedaf3 жыл бұрын

    The load backpack is such a cute concept lol

  • @matthewbarnes-webb9320
    @matthewbarnes-webb93202 жыл бұрын

    when I tell you I got disappointed when you didn't call the 3.75kn force a van Halen force :)

  • @christiancarlson227
    @christiancarlson2272 жыл бұрын

    at 10:19 why is it fast and then slow ? It is flat and then goes down that would be slow then fast if I am not mistaken

  • @christiancarlson227

    @christiancarlson227

    2 жыл бұрын

    never mind. I see why I am wrong. Its how it is accumulating load not the shape of the curve

  • @mrtylmz2209
    @mrtylmz22093 жыл бұрын

    According to the previous lesson (24), I use the semi parabolic area formula to calculate the x and I found x and M as 1.5625 and 14.8438, respectively. I think the semi parabolic area equation is not suitable for that kind of curve. (Please correct me if I'm wrong)

  • @marwanrababah4704

    @marwanrababah4704

    3 жыл бұрын

    x=0.9495 m=13.173 equation of dist. force : -2X-3 Equ. of shear: 3.75-x^2-3X Equ. of the moment: 11.25+3.75X-1.5X^2-(1/3)*X^3

  • @mudauwashington-zq3ed
    @mudauwashington-zq3ed Жыл бұрын

    How do I know that I'm turning my diagram at a right point??

  • @1234jhanson

    @1234jhanson

    Жыл бұрын

    Just watch the direction of the arrows on the graph above the one you’re working on. Not sure if this answers your question…

  • @IddSeleman
    @IddSeleman7 ай бұрын

    How to draw it by integration method

  • @aryanndharamsey2064
    @aryanndharamsey20643 жыл бұрын

    Why doesn't the total area for the v diagram equal 0

  • @jacoblugtu7205
    @jacoblugtu7205 Жыл бұрын

    Why is the equation 9-x^2?

  • @bofadeez4079

    @bofadeez4079

    4 ай бұрын

    The rectangle (9-2x^2) plus the triangle (x^2)

  • @franciscomellone1041
    @franciscomellone10413 жыл бұрын

    dM(x)/dx should be V. in this case is -V. Am I wrong?

  • @jerrysmith9780

    @jerrysmith9780

    6 ай бұрын

    When I integrate V, I get -M, is that what you get too? -11.25? It should be +11.25, right?

  • @justasketch1427
    @justasketch14272 жыл бұрын

    how did he get the rise=6 and run=3??

  • @solomonmule3414

    @solomonmule3414

    Жыл бұрын

    he concentrated on the triangle,,,,,,,,for the triangle,the height is 9-3=6 and the breadth =3

  • @anoudta1466
    @anoudta14663 жыл бұрын

    How did the rise = 6? isn't it 9?

  • @Stricknine47

    @Stricknine47

    3 жыл бұрын

    It went from 3 to 9, so the rise was 6.

  • @Adam_mohammed_
    @Adam_mohammed_3 жыл бұрын

    Who noticed that the video is coming up to 4K hhhhhhh nice!

  • @bradvincent2586
    @bradvincent25863 жыл бұрын

    at 14:00, how do you just switch the sign and figure out what x is... and it only gets more confusing from there. I mean, I passed calc 3 with an A and I’m not really getting this

  • @marwanrababah4704

    @marwanrababah4704

    3 жыл бұрын

    x=0.9495 m=13.173 equation of dist. force : -2X-3 Equ. of shear: 3.75-x^2-3X Equ. of the moment: 11.25+3.75X-1.5X^2-(1/3)*X^3

  • @sebastianfinn3028

    @sebastianfinn3028

    3 жыл бұрын

    He used the right hand side of the drawing as the origin, so if you made a mirror image of the picture from the origin (so that x would be increasing from left to right), the slope would become negative. At least, that's how I reasoned it out.

  • @marwanrababah4704

    @marwanrababah4704

    3 жыл бұрын

    @@sebastianfinn3028 thanks ! I had the same final results but with different x value Now i see why , the both methods are correct but each one uses a different reference

  • @borisbesovic5549
    @borisbesovic55492 жыл бұрын

    Diagram moment go down.

  • @jerrysmith9780
    @jerrysmith97806 ай бұрын

    Can someone assist here please. When I integrate V, I get -M. Any idea what I did wrong?

  • @erwinasesmanalastas6982
    @erwinasesmanalastas69822 жыл бұрын

    This where i am good about ... Not water.

  • @Smileyyyy1806
    @Smileyyyy18063 жыл бұрын

    Take me home to the place where shear equals zero. Now listen on Spotify :P

  • @barunrahiroy3687
    @barunrahiroy36873 жыл бұрын

    It seems the shear diagram is incorrect if x=2.05 from B . It should be modified later on it gave me a lot of confusion.

  • @brucelee1048

    @brucelee1048

    3 жыл бұрын

    for practice i decided to find x on the other side of the beam and i got 0.95 which is the same, so I believe it is correct

  • @marwanrababah4704

    @marwanrababah4704

    3 жыл бұрын

    @@brucelee1048 I had that too! Thanks

  • @drastipatel9558
    @drastipatel95583 жыл бұрын

    goat

  • @IddSeleman
    @IddSeleman7 ай бұрын

    How to draw it by integration method