ANSYS 17.0 Tutorial - Non Linear Plastic Deformation I-Beam

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  • Опубликовано: 2 окт 2024
  • ANSYS Workbench 17.0 Tutorial for a Non Linear Plastic Deformation Cantilever I-Beam with uniform varying load. In this tutorial I will go over the different plasticity models such as bilinear and multilinear isotropic hardening and how to get plastic deformation results in ANSYS 17.0. We will go over built in cross-sections, modeling of an I-Beam (or American Wide Flange Beam, W Beam), use of substeps and multistep problem creation, creating a stress-strain chart plot of the results with unloading, cross-section views and finally report generation.
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Комментарии • 302

  • @nahidame
    @nahidame 8 лет назад +26

    your lecture is very specific and easy to learn. Thanks and keep it up .

  • @iftekharrousseau493
    @iftekharrousseau493 4 года назад +1

    fabulous tutorial!!!! Please upload more tutorials of ANSYS workbench.

  • @ytinw6566
    @ytinw6566 3 года назад +21

    0:40 diagram analysis
    1:38 static structure
    2:17 Plasticity (toolbox) -Bilinear vs Multilinear
    4:41 engineering data source - general nonlinear material
    5:18 Geometry to draw the model
    6:00 concept - I beam
    7:44 model (under the main toolbar)
    8:10 Mesh
    8:30 Analysis setting
    9:40 static structure- fixed support- insert pressure
    10:00 Magnitude: Tabular
    11:45 solution output: force convergence
    12:20 insert stress
    14:40 insert stress for a mesh node
    15:30 new chart and table for results
    16:50 section cut
    17:18 create an image for each result

  • @atilahun2354
    @atilahun2354 8 лет назад +3

    Truly appreciate your instruction on this topic and others. Thank you.

  • @kevintanady9492
    @kevintanady9492 5 лет назад +2

    this video really helping my dissertation, thanks.

    • @drdalyo
      @drdalyo  5 лет назад

      Glad to hear it!

  • @JJUmusic
    @JJUmusic 8 лет назад +29

    Thanks so much for the tutorial! Sadly what I was taught during lectures on FEA did not help much when it comes to modelling in practice. The world needs more quality videos such as these! Keep it up!

  • @rostamr4096
    @rostamr4096 4 года назад +1

    Great teaching, very helpful Thank you

  • @mebrahtuembaye2118
    @mebrahtuembaye2118 2 года назад +1

    Very informative analysis thank you !

    • @drdalyo
      @drdalyo  2 года назад

      Glad it was helpful!

  • @saeedmouloodi5635
    @saeedmouloodi5635 7 лет назад +1

    This tutorial was remarkable... Thanks for sharing!!!

    • @drdalyo
      @drdalyo  7 лет назад

      welcome, thanks!

  • @vivekstreme1994
    @vivekstreme1994 2 года назад

    you sir are awesome

  • @thomasnguyen3947
    @thomasnguyen3947 4 года назад +1

    Awsome! Thank you.

  • @MS8three
    @MS8three 4 года назад +1

    Thank you so much.

  • @guggi2791
    @guggi2791 6 лет назад +1

    Nice job, thank you for your help !

  • @BrunoSilva-ur7sb
    @BrunoSilva-ur7sb 4 года назад +1

    Very helpful!

  • @vigneshwarank3182
    @vigneshwarank3182 6 лет назад +14

    I LOVE UR TEACHING SKILL... CLEAR VOICE THANK YOU SO MUCH

  • @abdullahjanamiri4586
    @abdullahjanamiri4586 3 года назад

    well done what a great video

  • @yongwang6081
    @yongwang6081 5 лет назад +1

    It's very helpful.

  • @نورالاسلام-س2ن
    @نورالاسلام-س2ن 3 года назад +1

    Wonderful

  • @amitdeshmukh9660
    @amitdeshmukh9660 7 лет назад +1

    hey thanks for your video.

  • @soulwani
    @soulwani 6 лет назад +1

    Very good..

  • @Harshveer2222
    @Harshveer2222 4 года назад +1

    Thanks for the amazing tutorial. Just want to get a clear idea what initial, minimum and maximum substeps signify.

    • @drdalyo
      @drdalyo  4 года назад +1

      It basically means how many sections you want to divide the force by when calculating. The higher number of substeps usually means your solution will converge better without any error. So lets say I want to divide my force by 5, that would be the initial number of substeps. If the computer finds that it can solve the solution using less during the run then you can allow it to be lowered to say 2, which would be your minimum. And maximum is if say the computer cant solve with 5 substeps and needs to increase it, you set the top limit to say 10. Note the higher the maximum the more time it may take to solve depending on your model

    • @Harshveer2222
      @Harshveer2222 4 года назад +1

      @@drdalyo Thanks

  • @imranhasan3079
    @imranhasan3079 8 лет назад

    Dear Sir your effort is really appreciable, can you please upload your video to explain the fatigue analysis for pressure vessel having a saddle support with complete model

  • @ahmedashraf-1458
    @ahmedashraf-1458 7 лет назад +11

    I'm new to Ansys and your video helped me a lot. Thanks :)

    • @drdalyo
      @drdalyo  7 лет назад +1

      +Ahmed Ashraf Welcome!

    • @ahmedashraf-1458
      @ahmedashraf-1458 7 лет назад

      Hey, may I have your email address? I'm having a problem and was wondering if you could help.

  • @STV-Lz
    @STV-Lz 7 лет назад +1

    thank you very much. But how about lateral torsional buckling problem?

  • @512mbramnpnp
    @512mbramnpnp 6 лет назад

    Thank you very much for the informative lecture. Would you please tell us that which type of non-linearity does this method use?

  • @Nick66606
    @Nick66606 7 лет назад +1

    thanks.

  • @حامدمحمدزاده-ب1ل
    @حامدمحمدزاده-ب1ل 3 года назад

    good . yeah its good man

  • @zeeshanbashir7428
    @zeeshanbashir7428 4 года назад +2

    The first video of ansys on youtube which explains each and every step conceptually, otherwise you would see videos of ansys on youtube where u would find a person doing steps and not explaining why they are doing that particular step .. keep up the good work.

  • @sangmeshshettar2825
    @sangmeshshettar2825 5 лет назад +2

    First time i have watched video in which guy explains non linear analysis with simplicity. I am trying to learn ansys from past year. This video taught me non linear analysis. I feel like how much ever i thank you its not enough.

  • @SuperNazi007
    @SuperNazi007 7 лет назад +1

    Thanks for the good work you are doing.

    • @drdalyo
      @drdalyo  7 лет назад

      +Nazmul Hussain thank you!

  • @prakhars962
    @prakhars962 4 года назад +1

    After adding bilinear isotropic material, my ANSYS does not respond. Even though I reinstalled it.

  • @BindazOm
    @BindazOm 5 лет назад +1

    can u plz explain some basic stuffs too? related to that stress,strain,etc

    • @drdalyo
      @drdalyo  5 лет назад

      You could check out my other videos for this!

  • @pablomontero8002
    @pablomontero8002 7 лет назад +1

    Have you ever used multilinear isotropic hardening? I have doubts abaut this option... I don't know if do i have to put in the table, in the first row the yield point and zero deformation? or (0;0), (elongation at yield; yield point) and others point?

  • @aliakyildiz6470
    @aliakyildiz6470 2 года назад +1

    Is it possible to turn the loading condition into a cycle and conduct a fatigue analysis this way?
    Thanks in advance

    • @drdalyo
      @drdalyo  Год назад

      Yes it is! You can probably find other videos on this (not by me).

  • @aaqibpeerzade3485
    @aaqibpeerzade3485 4 года назад +1

    Hi, for Multilinear data you have tried to enter 0.1 as the first value in plastic strain. but asnsys won't accept it as the first point should be 0 plastic strain against yield stress.

  • @saghersaghi5910
    @saghersaghi5910 3 года назад +1

    what are the specs of your pc

  • @vijaygj123
    @vijaygj123 7 лет назад +5

    One of the best explained videos. Awesome!!!

    • @drdalyo
      @drdalyo  7 лет назад

      +vijay jangid thanks very much!!

  • @zeeekhn
    @zeeekhn 7 лет назад

    Thanks for this tutorial. I have a question about the tangent modulus. Should it not be less than young's modulus since slope of curve is shallow after the yield point?

  • @qantum251
    @qantum251 8 лет назад +2

    thanks a lot for the time and effort you spent doing this video, actually I come from a cfd background and I found your step by step approach really valuable, please keep sharing these tutorial videos & highlighting the general workflow. very useful loved it, sub & liked

  • @luanlovelyman
    @luanlovelyman 8 лет назад +2

    you've been saving lives!! please teach us how to do a tensile loading experiment!!
    P.S. i needed to reduce the mesh to 10 mm, due the student license version.

  • @ramsagarborra1499
    @ramsagarborra1499 5 лет назад

    could you please clarify me wether if have to take plastic strain or common strain for multilinear isotropic hardening. I need your reply it is so helpful for me. thank you sir.

  • @vahidm7
    @vahidm7 8 лет назад +2

    u R Ammmazing Maaan. I really really love the way u present. 💗 keep up m8. i wanna be the master of Ansys workbench by ur teaching 👍

  • @udiepie3314
    @udiepie3314 6 лет назад

    subscribed!

  • @jayteebee69
    @jayteebee69 8 лет назад +1

    Hi I've been watching your tutorials since I had a pretty basic understanding of ANSYS (16).. I've learned a lot by watching and doing the tutorials.. Many Thanks.. Could you possibly do a 1D beam example, 1D plate example and a 2D axis symmetrical analysis like a pressure on a circular plate.

  • @mustafaonarclar
    @mustafaonarclar 4 года назад

    ANSYS VİDEOLARI İÇİN:ruclips.net/video/jvo9rcDgl3I/видео.html

  • @mahamademad9124
    @mahamademad9124 7 лет назад +1

    it's a very helpful tutorial.
    I was wandering if you could help with doing a push over analysis for multi story rigid frame (more than one indeterminate).
    thanks,

  • @prasadnaikwade4909
    @prasadnaikwade4909 5 лет назад

    sir can u make any video on mechanical project like inclined members and forces acting on any square type of structure

  • @eliasahmed-d5u
    @eliasahmed-d5u 9 дней назад

    From Bangladesh, your explanation really outstanding . I'm a beginner. Deserve appreciate

  • @hermeswilliansantiagoflore4988
    @hermeswilliansantiagoflore4988 8 лет назад +2

    Hello Dr. Dalyo!, thanks a lot for your videos, your time and your desire to teach...:)

  • @drustan6890
    @drustan6890 8 лет назад +1

    is it possible for me to model this using ANSYS AIM? what is the difference between ANSYS AIM and this one? +DrDalyO

    • @drdalyo
      @drdalyo  8 лет назад

      Not quite sure if you can do this in AIM, I hope so however. ANSYS AIM is a more simplified version of workbench, so it is more user friendly and easy to start. AIM for now has less functionality compared to workbench.

  • @anaritalourenco9472
    @anaritalourenco9472 6 месяцев назад

    Hello! First of all, I hope all is well with you!
    I'm a new follower of the channel and I want to congratulate you on your video and RUclips channel!
    I watched your video "ANSYS 17.0 Tutorial - Non Linear Plastic Deformation I-Beam", which helped me, but I'm having some difficulties in my study.
    I'm testing an aluminum spar with 4 flanges and 1 web, with holes to join them together. I set the boundary conditions, simulated a non-linear structural analysis in ANSYS, but I can't understand the results, can you help me, please?
    I need to understand what force/moment makes the structure yield and what force/moment makes the structure actually break.
    1. To do this, I have to analyze the equivalent (von-Mises) stress, correct? I see if the maximum equivalent (von-Mises) stress that the simulation gave me is higher than the yield stress of the material and then if it is higher than the resistance stress? (And should I look at the equivalent (von-Mises) stress or the maximum normal stress?)
    2. Also, how do I know the structure has broken? In the simulation this never happens, I increase the force and it just starts to deform plastically, until it reaches a point where it can no longer be calculated, as it stops converging (this in cases of very exaggerated and meaningless forces, but the point is that visually the structure never breaks...how do I know it broke through the values?)
    I will be waiting for your response, please.
    Best wishes for you and your channel.
    Best regards,
    Ana

  • @VIKASSHARMA-re6fi
    @VIKASSHARMA-re6fi 3 года назад

    bro help here plss.... at last the node one during result its only showing the node not the whole little visible bean like you ...and the graph is also straight for node ...why????????//help pls

  • @xinzhe684
    @xinzhe684 7 лет назад +1

    Can Workbench do some pushover analysis?

  • @adithyakarikalans3154
    @adithyakarikalans3154 4 года назад +1

    Sir why we are using non linear analysis.

    • @drdalyo
      @drdalyo  4 года назад

      We are using non linear in order to show what happens when the beam is over stressed, hence passed the yield point of the material and into the plastic deformation region.

  • @santoshb6498
    @santoshb6498 3 года назад

    Is it wrong to plot a chart of vonmises stress vs strain? Can you please explain multilinear isotropic model for a brittle material?

  • @xtremeNarutoPK3
    @xtremeNarutoPK3 7 лет назад +1

    Is there a setting which you turn "on" to make ANSYS run a plastic analysis or does it do it automatically? I've followed your steps but my stress-strain graph remains linear. I've tried incrementally increasing the loading, but it gets to a point where it solution doesn't converge. Could there be a setting I haven't set correctly? I am trying to run a plastic analysis for my dissertation, but was unable to get the results so I followed this tutorial to see if I could make it work, and it seems like it could possibly be the same error on both analyses.

    • @drdalyo
      @drdalyo  7 лет назад +2

      Maybe you didnt turn on large deflection? see the image here: goo.gl/ujEiDK

  • @navalfa7291
    @navalfa7291 5 месяцев назад

    What is the formula for calculating tangent modulus?

  • @adityachaubey3893
    @adityachaubey3893 3 года назад

    what if the force in N/m is given instead of pressure in mpa

  • @halmosipeter4805
    @halmosipeter4805 Месяц назад

    I tried to redo this in Ansys 2022 R1 and with Pressure it doesn't work. I did everything acc to the video. With Force I get it to knick. But with pressure no luck . Any idea why ?
    Thank you!

  • @theamazingmiddleeast7824
    @theamazingmiddleeast7824 3 года назад

    How can I model an orthotropic plasticity material behaviour in the LS Dyna workbench?
    I used the APDL code for modelling of orthotopic bilinear material in static structural but apparently, I can't use the macro code in LS Dyna. Is there any method applicable to create this material model?

  • @shafiqulislamsabbir7515
    @shafiqulislamsabbir7515 4 года назад

    Some portion of this 0.5 meter I-Beam was inside the wall that means >> in that portion it has got fixed support in its bottom surface

  • @Uhmm1995
    @Uhmm1995 3 года назад +1

    Muchas gracias
    Greetings from Ecuador

  • @updatedotexe
    @updatedotexe 3 года назад

    Nice video, but are these better programs than this one? (Better UI/UX)

  • @Freelancer-r9e
    @Freelancer-r9e Месяц назад

    Driven pulley rotation problem is fixed in below video
    ruclips.net/video/rarOXBQcVMs/видео.htmlsi=kkiTV2Ysi7tx-n0K

  • @Freelancer-r9e
    @Freelancer-r9e Месяц назад

    Driven pulley rotation problem is fixed in below video
    ruclips.net/video/rarOXBQcVMs/видео.htmlsi=kkiTV2Ysi7tx-n0K

  • @dramarecaps2731
    @dramarecaps2731 4 года назад +1

    Great Video! Thank you!

  • @juancarloscubisino7411
    @juancarloscubisino7411 8 лет назад +1

    Great job man. Thanks a lot for your time. Please, keep teaching

  • @stefaniamagnettigisolo5775
    @stefaniamagnettigisolo5775 3 года назад

    good morning. Please, does someone know what to do when this error occurs: "reference to an object not set to an object instance". It occurs when I try opening Ansys meshing, and I don't know what to do, I cannot understand why it happens now.... please, I am desperate!

  • @elisabethgrc
    @elisabethgrc 7 лет назад +1

    Hi, thanks for your tutorials! I'm new to ANSYS (been using Midas FEA before) so these have been very helpful.

  • @MuhammadUbaidKhalid
    @MuhammadUbaidKhalid 8 месяцев назад

    SIr can you tell me how to apply Non-Uniform Distributed Load using function in ansys

  • @vjveeresh
    @vjveeresh 4 года назад +1

    Can I get any Tutorials on Random vibrations?

    • @drdalyo
      @drdalyo  4 года назад

      Il make a note of it!

  • @rahulpatidar7106
    @rahulpatidar7106 Год назад

    Thank so much for tutoring sadly whaat I was taught during lacture on FEA did not help much wen I come to modeling in practice

  • @insioni
    @insioni Год назад +1

    king 👑. thank you so much

  • @sigaming675
    @sigaming675 4 года назад +1

    Thanks...

  • @mohamedragab9841
    @mohamedragab9841 3 года назад +1

    Thanks

  • @MAMotinSobujsobuj23
    @MAMotinSobujsobuj23 4 года назад +1

    Thanks

  • @MihaiDumitrumath
    @MihaiDumitrumath 8 лет назад +4

    Very Good

  • @muhammadbilal7389
    @muhammadbilal7389 4 года назад +1

    Hi, I'm facing this problem on Ansys. Kindly help me to solve this:
    "your product license hasnumerical problem size limit, you have exceeded these problem size limitsand the solver cannot proceed "

    • @deathworld5253
      @deathworld5253 4 года назад +2

      Hi! If you're using Student license, try to make mesh less frequent. That problem occurs because your edition only has to work up to a certain threshold. (This of course makes calculations a lot less precise). Hope that helped, had the same problem with Patran Student Edition

    • @muhammadbilal7389
      @muhammadbilal7389 4 года назад +1

      Mesh less frequent means I should not change default meshing size or something else ?

    • @deathworld5253
      @deathworld5253 4 года назад +1

      @@muhammadbilal7389 Make the elements bigger, so overall count is smaller

    • @muhammadbilal7389
      @muhammadbilal7389 4 года назад +1

      @@deathworld5253 yes it works but the results varying too much

    • @drdalyo
      @drdalyo  4 года назад +1

      Mike is right. You need to increase the element size due to limitations of your license. You can attempt to use mirroring in order to save element count. Meaning u can slice your geometry in half and insert a mirror normal to the slice plane.
      Any yes, its annoying that the results will vary because of larger element size..

  • @ermannomazzoncini7110
    @ermannomazzoncini7110 4 года назад +1

    a great video, thank you

  • @krishj8011
    @krishj8011 5 лет назад +1

    Nice

  • @ALWAYSVIKRAMM
    @ALWAYSVIKRAMM 3 года назад

    Hello sir i want this pdf or word document because my project on it elasto plasto analysis.if you read please help that is very beneficial for me

  • @cyrusIIIII
    @cyrusIIIII 8 лет назад

    If you increase the load in a way that it goes to a complete plastic form, does it still converge or you should get errors?

  • @albertodejesusbarcelourias9773
    @albertodejesusbarcelourias9773 8 лет назад +1

    thank you very much , this will help me with my final project! :)

  • @eslamabdelzaher379
    @eslamabdelzaher379 7 месяцев назад

    many thanks for your effort can you please make video on adding frp layers for steel beam on ansys ??

  • @sabarishselvam7828
    @sabarishselvam7828 4 года назад

    Should we need to check the results (equivalent stress and equivalent total strain) with the input non linear curve to check whether the result is following the input curve given..ex:1st point stress 250Mpa, strain 0; 2nd point stress 260Mpa, strain 0.5.consider we are getting 255 Mpa from analysis, then strain should be in between 0 to 0.5 or it can be beyond 0.5?

  • @georgianam4303
    @georgianam4303 8 лет назад +1

    Hi!
    Can you please tell me how to define a Multilinear isotropic hardening material? in your video you stop right after you entering the stress&strain points and the question mark is still there. Ansys shows me a message "The following components need attention before proceeding:Engineering Data". I don't know what to do from this point forward. I need to define a material with these coordinates:
    STRAIN STRESS
    0 0
    0.002 355
    0.15 600
    0.15 355
    Thank you in advance!
    M.G.

    • @drdalyo
      @drdalyo  8 лет назад

      So add a multilinear isotropic hardening material, and set the yield point in the details, then in the table add only the plastic components so the table should only contain these values:
      0.002 355
      0.15 600
      0.15 355

  • @bilelkm
    @bilelkm 5 лет назад +1

    I work on Simulia abaqus, same concepts but the ansys UI is much easier as you're working with it.
    Great video, thanks alot.

    • @drdalyo
      @drdalyo  5 лет назад

      Agreed, Thanks!

  • @yashasvijain9374
    @yashasvijain9374 6 лет назад

    I'm currently using ANSYS 18, when I try to apply the tabular load, I get only two options in my Independent Variable option : 1. Time 2. Step. But I wish to vary it with the Z-coodinate just like you did! What should I do?

  • @saravanabhavan6401
    @saravanabhavan6401 7 лет назад +2

    Hi, How long it to took to get the mesh? I have an eight core 3.6 Ghz processor and 8 gb ram 1 TB HDD @7200 rpm 2gb graphics I tried to do a mesh of 5 mm, 10 mm, 20 mm none of them working It takes too much of time I waited for about 15 Min but still in progress. Do anyone came across this type of problem. Any suggestion welcome.

    • @drdalyo
      @drdalyo  7 лет назад +1

      that doesnt seem normal. it should take a few minutes.

  • @EngrAbubakarAyubaBabannaMEngRE
    @EngrAbubakarAyubaBabannaMEngRE 5 лет назад +1

    Thanks it is very educative and self explanatory, really appreciate.

  • @stanislavsidnei1055
    @stanislavsidnei1055 3 года назад

    Please tell me how it is possible to combine a static problem with a thermal one (in a fire [345 * log10 (8 * time / 60 + 1) +20]

  • @sadokfennira3005
    @sadokfennira3005 6 лет назад +1

    Keep on doing what you re doing, these Tutorials are so compressed with informations and tricks and I like that.
    The examples could get more difficults :p its always a pleasure to watch you resolve them.
    I had always a problem workinig with 18.2 when importing a STEP File (originally from Solidworks) and try to apply a force or a certain surface (not the whole surface just a section of it), without going through the Construction Modeler since its an imported part.
    Thanks for everything !

    • @seyarbayat4770
      @seyarbayat4770 2 года назад +1

      in that case, you can make a named selection for the whole area and then chose it to put pressure or force on the named selection area.

  • @fkurcik
    @fkurcik 7 лет назад

    VonMises stress is elastic criterion of failure for isotropic materials. I'm not sure if using VonMises stress to evaluate results of plastic analysis is a good idea. At least in manual calculation I never seen anyone to use plastic section modulus as input to evaluate vonMises stress. I've seen in the standard, that it is recommended to use max. principal plastic strain as a failure criterion for plastic problems in conjunction with FE software. When you plot vonMises vs Equivalent total strain here, it resembles almost precisely the stress/strain diagram. But I think this happens only because this problem is dominated by normal stress and normal strain. I think that in other cases where also shear stress is significant, the curve will be similar, but the values in stress/strain diagram will be different. Maybe this is only a question of taste how do you mathematically represent the results. However, I think that one should be careful how to represent and understand the results. What's your thoughts on this?

  • @mesutkorpe2942
    @mesutkorpe2942 7 лет назад

    Guys, I have a basic question for you. My Ansys engineering data source is missing, I mean, when I try to choose a material on the libraray there are a few material on there. So , how can I find them or import them? What might be the problem? Please help me. Thanks in advance.

  • @mazinomer3562
    @mazinomer3562 7 лет назад

    1.Can i use this in nonlinear RC beam analysis ? if no, then how to nonlinear RC beam analysis ?
    2. I have stress-strain curve points for high strength concrete can i input it in material dialog in ANSYS ? should i have temperature for it for analysis in ANSYS ?
    Great video! thank you !!
    looking forward your replying.

  • @yijiazhang1117
    @yijiazhang1117 4 года назад +3

    Love your lecture! Clear, detailed!

  • @sandeepkrishnachitti4627
    @sandeepkrishnachitti4627 7 лет назад +1

    DrDalyO your videos are really good. Can you do a video on two way coupled FSI of oscillating plate in water. There are other videos but non of them is good and clear like your videos. Please help me.

    • @drdalyo
      @drdalyo  7 лет назад +1

      Hello! thank you. I will take it into consideration for my future videos!

  • @agogenola1985
    @agogenola1985 8 лет назад +1

    Very good tutorial!Thanks!

  • @jakubp1790
    @jakubp1790 4 года назад

    It is a very good tutorial, however your result is far from the actual beam deformation shown at the end. Have you been able to produce a more realistic result, by playing with different (e.g. more unsymmetrical) loads or boundary conditions?

  • @matinkarimov2397
    @matinkarimov2397 2 года назад

    Thanks for the video,sir! I made the exact example but got the Maximum stress 224.25 instead of 313.82 .I checked my work many times and everything looks the same as you did. Why the result is different?