Mechanics of Materials: Lesson 12 - Strain Energy; Example Problems From Stress Strain Diagram

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  • เผยแพร่เมื่อ 26 ธ.ค. 2024

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  • @nastynork56
    @nastynork56 3 ปีที่แล้ว +62

    Dr. Hanson using his powers of Statics, Dynamics and Strengths to levitate that broom with his mind, Truly a legendary man.

  • @ikar0os_
    @ikar0os_ หลายเดือนก่อน +1

    hey so I just wanted to say thank you becuse you helped me so much in this midterm season. I was working so I couldnt go to the courses and I found you in youtube and you made my life so much easier. 2 days after I have the mechanics of materials midterm and I was never confident about myself in this course before you. thank you very much

  • @F4M05D4V35
    @F4M05D4V35 3 ปีที่แล้ว +22

    The man the myth the legend is back

  • @herseyodtuyeyataygecisyapm7364
    @herseyodtuyeyataygecisyapm7364 7 หลายเดือนก่อน +1

    İ love you Hanson sensei, Even the way you talk puts me at ease. I'm getting away from my worries. Thank you I'm glad I met you, I'm glad you exist. (from a civil engineering student, Turkey)

  • @KIMIRAIKKONE198N4
    @KIMIRAIKKONE198N4 3 ปีที่แล้ว +15

    U (resilience) = Area untill proportional limit (MPa)
    U (toughness) = Area untill fracture point (MPa)
    Energy absorbed = U x Volume (J)

  • @Fahimsy3d
    @Fahimsy3d 3 ปีที่แล้ว +7

    First!!! I have never been happier to see you back!!!!!! So much love from Canada

  • @RK-tx5xb
    @RK-tx5xb 3 ปีที่แล้ว +4

    Welcome back professor Hanson !! Pleasure to see you live again. Lots of best wishes from Alberta, Canada !!!!

  • @sgpark5056
    @sgpark5056 3 ปีที่แล้ว +10

    My solution for Number 9 is as follows.
    The total deformation when the rod is loaded: 0.003 + (701.7-600)/(780-600) * (0.005 - 0.003) = 4.13e-3 mm/mm.
    The deformation that is removed when the rod is unloaded: (701.7 MPa)/(2e5 MPa) = 3.508e-3 mm/mm.
    The permanent deformation is 4.13e-3 - 3.508e-3 = 6.22e-4 mm/mm or delta = 6.22e-4 * 600 mm = 0.3732 mm.

    • @maize3724
      @maize3724 2 ปีที่แล้ว

      i got the same thing

    • @rogerdelbarco
      @rogerdelbarco 10 หลายเดือนก่อน

      Same for me

  • @reyjr4
    @reyjr4 3 ปีที่แล้ว +2

    Yes! I’m currently taking it. Thanks for this.

  • @scottybarra5075
    @scottybarra5075 3 ปีที่แล้ว +25

    Shouldn't number 8's answer be 241.75 N.m?

    • @yk6474
      @yk6474 ปีที่แล้ว +1

      Shake hands,we got the same number.

  • @usandmexico
    @usandmexico ปีที่แล้ว

    25:50 Poisson's ratio is not always positive. There are negative cases, which exhibit the behavior expected from a negative value.

  • @yousafhassan4588
    @yousafhassan4588 3 ปีที่แล้ว +2

    The boss is backk

  • @NexiOHome
    @NexiOHome 7 หลายเดือนก่อน

    I hope that if Jeff has kids, his dad is the coolest person ever

  • @aslsahdemirtas8454
    @aslsahdemirtas8454 7 หลายเดือนก่อน

    i wish you have other engineering classes on youtube....... thank you jeff hanson

  • @patricklubisi
    @patricklubisi 3 ปีที่แล้ว

    The Professor is back

  • @TruePreView
    @TruePreView 11 หลายเดือนก่อน

    Hi, thank you for the excellent video. I am trying to calculate the compaction energy when compressing soil. I have a stress / strain curve for this and have followed the same approach detailed in the video. So that I can compare compaction energy with samples of different size, how do I calculate energy density per m3 of material?

  • @aramhadizadeh7753
    @aramhadizadeh7753 2 ปีที่แล้ว

    doctor hanson you are freaking awesome

  • @faiblesse9739
    @faiblesse9739 3 ปีที่แล้ว

    excellent video Dr. Hanson. thank you

  • @epicfailled
    @epicfailled 3 ปีที่แล้ว +3

    In the 4th section, isnt the max tensile stress before fracture supposed to be 780MPa, as it is the UTS

    • @amgil475
      @amgil475 ปีที่แล้ว

      i was searching for this comment to see if someone noticed , but is it correct?

    • @enggurux3986
      @enggurux3986 6 หลายเดือนก่อน

      i got confused at that point

  • @XinLiu-t8g
    @XinLiu-t8g ปีที่แล้ว +2

    I am sorry but seems that there is a mistake about the strain engery density, after some unit deduction, you will find that (stress * strain)/2 is the density and the strain engery absorbed should be the density multiple the volume.

    • @TruePreView
      @TruePreView 11 หลายเดือนก่อน

      I agree. The method shown would work if you had ((load x deformation)/2) / volume.

  • @manuboker1
    @manuboker1 3 ปีที่แล้ว

    Wonderful Lectures ! Thanks.

  • @A.Hisham86
    @A.Hisham86 ปีที่แล้ว +2

    Prof. why you didn't choose the sigma ultimate as max load that the rod can handle before failure? Well, after the ultimate load, the specimen will start to let go itself before the force on it, then practically, the max load that the rod sustain before fracture is the max load sigma ultimate after that, the material won't sustain any load anymore, it just suspended like that. Isn't it?

    • @NexiOHome
      @NexiOHome 7 หลายเดือนก่อน

      i was waiting for someone to say this, because this is the MAX load it can sustain. Not the load right before it fractures...

  • @christopherabdelhay959
    @christopherabdelhay959 ปีที่แล้ว

    thank you Dr

  • @rogerdelbarco
    @rogerdelbarco 10 หลายเดือนก่อน

    Thank you Dr. Hanson.
    I have one little obsrvation: I think for question 4 we should have taken the 780 MPa value. Am I right?
    Because 450 MPa it is still under the yield strenth.

  • @anasabdelfattah5285
    @anasabdelfattah5285 2 ปีที่แล้ว +2

    hello Doctor, i did not understand why we choose 450 MPa to calculate the maximum Tensile Load, according to the diagram if the material subjected to 500 MPa it will not fail, also it will back it it's regular shape.
    so how come 450MPa will make a fracture

    • @danbo528
      @danbo528 2 ปีที่แล้ว

      I have the same question.

  • @tblol2039
    @tblol2039 3 ปีที่แล้ว +8

    I have an exam in 2 days for solids any tips?
    Edit: I GOT 95 FOR THE UNIT
    Thanks Jeff Hanson

    • @KIMIRAIKKONE198N4
      @KIMIRAIKKONE198N4 3 ปีที่แล้ว

      what kind of tips or questions do you have ?

    • @tblol2039
      @tblol2039 3 ปีที่แล้ว

      @@KIMIRAIKKONE198N4 I got 95
      Let's go!!!!

  • @Jtruongg
    @Jtruongg 3 ปีที่แล้ว +1

    Love you jeff

  • @mohammadali0019
    @mohammadali0019 3 ปีที่แล้ว

    Damet garm dr 😂 👌🏻👌🏻
    Its a persian term means Well Done 👍🏻 ✌️

  • @suvinduamarasekara7550
    @suvinduamarasekara7550 ปีที่แล้ว

    strain energy density is strain energy / volume right not multiplied by volume?

  • @markangelodavid8531
    @markangelodavid8531 3 ปีที่แล้ว

    Thank you sir Jeff!!

  • @saddlepiggy
    @saddlepiggy 7 หลายเดือนก่อน

    On number 9 I’m very confused about how this method works. Don’t you need to account for the different rate stress/strain rate/slope in the yielding region of the graph? If you do that, you get a final answer of .3729mm.

    • @Shoom-wt
      @Shoom-wt 2 หลายเดือนก่อน

      I think he might be wrong does anyone know

  • @A.Hisham86
    @A.Hisham86 ปีที่แล้ว

    Why not Joules per mmcc (volume)?

  • @leowjiahao3299
    @leowjiahao3299 3 ปีที่แล้ว

    @changjunyang any mistake here?

  • @mdlass4124
    @mdlass4124 3 ปีที่แล้ว

    You can check your answer for Q5 by PL/AE

  • @subramanivasu3458
    @subramanivasu3458 3 ปีที่แล้ว +2

    First comment. Amazing

  • @JuxSwampy
    @JuxSwampy 3 ปีที่แล้ว

    Very effective

  • @sajeevantony9098
    @sajeevantony9098 3 ปีที่แล้ว +1

    The addition for Q8 in 34-35 min is 2.28. Kindly make correction.

  • @usandmexico
    @usandmexico ปีที่แล้ว +1

    Until he explains otherwise, viewers should regard his answer to question 4 as incorrect. He answers what the load is immediately before fracture, assuming no necking. The way his question is phrased requires you to use the max stress on the graph.

  • @Adam_mohammed_
    @Adam_mohammed_ 3 ปีที่แล้ว

    Thanks ! great example. But I think this video should be the number 14 lesson. Because in my book the lesson 14 is actually the beginning of ch 4 While this video belongs to ch3.

  • @bArda26
    @bArda26 3 ปีที่แล้ว

    hahaha great intro

  • @XerathMTA
    @XerathMTA 6 หลายเดือนก่อน

    dont understand last question at all can someone explain it to me

  • @danielniels22
    @danielniels22 2 ปีที่แล้ว

    16:01

  • @efealtun2247
    @efealtun2247 2 ปีที่แล้ว +1

    jorge jesus istifa rıdvan dilmen goreve

  • @buhyeah69
    @buhyeah69 ปีที่แล้ว +1

    Shouldn’t the area under the curve for number 8 be 2.28N/mm^2 not 2.43N/mm^2? I ran this calculation through a few times and I kept getting 2.28. Is anyone else getting 2.28?

    • @antoups
      @antoups ปีที่แล้ว

      yes you're absolutely right and the energy is 241.74J