Tonatiuh Rodriguez Nikl
Tonatiuh Rodriguez Nikl
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Flexibility Method for Frames (Introduction)
Flexibility method for frames using virtual work. This is a simple example using a structure with only one degree of indeterminacy, thus the complications of the matrix solution are not apparent. Recorded for CE 4600 at Cal State LA.
Переглядів: 933

Відео

Flexibility Method for Continuous Beams
Переглядів 5613 роки тому
Example introducing the formal notation and matrix formulation of the flexibility method (also force method or method of consistent deformations). Use of the deflection charts to determine flexibility coefficients. Recorded for CE 4600 at Cal State LA.
Conceptual Overview of the Flexibility Method (primary structure with moment release)
Переглядів 2283 роки тому
This is the second part of the conceptual overview to the flexibility method. It uses a primary structure with a moment release. This type of primary structure is often more convenient to use, so it is worth learning even if it is initially more confusing. Recorded for CE 4600 at Cal State LA.
Conceptual Overview of the Flexibility Method
Переглядів 4423 роки тому
Overview of the flexibility (aka force method or method of consistent deformations) illustrated on a simple propped cantilever beam with a uniform load. Illustrates use of tables to calculate deflections on the primary structure and statics to find other quantities of interest.
Stiffness Method for Frames - Part 2, Force Recovery
Переглядів 1,3 тис.3 роки тому
Continuation of the example on applying the stiffness method to frames. Uses method 1 of force recovery. If you are watching this video make sure you have watched the previous video first at ua-cam.com/video/lCqztMy9z5c/v-deo.html. Recorder for CE 4600 at Cal State LA.
Stiffness Method for Frames - Part 1, Setup
Переглядів 6 тис.3 роки тому
Application of the stiffness method to frames. Example with a simple portal frame. Setup of the stiffness matrix and load vector. Solution of the vector of displacements using Matlab. Recorded for CE 4600 at Cal State LA.
4600 03 Frame Deformed Shape No Moment
Переглядів 2153 роки тому
Drawing deformed shapes of frames without the benefit of a moment diagram. Example showing checks on joint equilibrium. Recorded for CE 4600 at Cal State LA.
Beam Deformed Shape Without Using a Moment Diagram
Переглядів 1593 роки тому
Drawing a deformed shape of a beam without the benefit of the moment diagram. Back-calculating the moment, shear and free body diagrams from the deformed shape to check for consistency. Recorded for CE 4600 at Cal State LA.
Beam Deformed Shapes from Nodal Displacements
Переглядів 1473 роки тому
Drawing beam deformations from known nodal displacements and rotations. Examples with and without rotation fixity on the opposite node. Recorded for CE 4600 at Cal State LA.
Flexible Diaphragm Collector Demand
Переглядів 4,6 тис.3 роки тому
Example from previous videos continued to calculate collector forces. Shows simple and difficult calculations. The value given for R for A2 and D2 is wrong (about 5:36). The correct value is 2.2443. This is just at typographical error and the subsequent calculations are correct. Recorded for CE 4650 at Cal State LA.
Flexible Diaphragm Chord Demand
Переглядів 4,7 тис.3 роки тому
Calculating chord forces for flexible diaphragms. Closed form solution for rectangular sections, example containing rectangular and non-rectangular sections. Recorded for CE 4650 at Cal State LA.
Flexible Diaphragm Shear Demand
Переглядів 5 тис.3 роки тому
Calculation of the shear demand for a flexible diaphragm, by example. Starts from the diaphragm design force for the whole diaphragm. Allocates the force to segments of the diaphragm between lines of resistance. Computes shear demand as shear and as shear divided by diaphragm depth. Note that there is a typographical error: w2 is incorrectly written as 0.9 when the correct value is 1.2. The sub...
Diaphragm Design Forces
Переглядів 6 тис.3 роки тому
Calculation of diaphragm design forces. Example in Excel of a five story building. Recorded for CE 4650 at Cal State LA.
Flexible Diaphragms I - Allocating Loads to Lines of Resistance
Переглядів 2,2 тис.3 роки тому
Simplified example showing how the seismic load at each floor level is allocated to lines with lateral resistance (for flexible diaphragms). Beam analogy for the diaphragm. Continued in Part II (ua-cam.com/video/RtJ2wErOhdg/v-deo.html). Recorded for CE 4650 at Cal State LA.
Flexible Diaphragms II - Dividing Loads to Elements on a Line of Resistance
Переглядів 2,3 тис.3 роки тому
Continuation of previous example (ua-cam.com/video/tMeJasOnLf4/v-deo.html). Illustrates how to divide loads to the various elements along the line of resistance proportionally to their rigidity or stiffness. Recorded for CE 4650 at Cal State LA. Note: Typographical error - the rigidity calculations use "3" instead of "0.3". However, the resulting calculation is correct (consistent with "0.3"). ...
Typical Seismic Weight Calculations
Переглядів 2,1 тис.3 роки тому
Typical Seismic Weight Calculations
Online seismic design maps
Переглядів 3803 роки тому
Online seismic design maps
Stability and Determinacy - Examples (Determinacy)
Переглядів 6773 роки тому
Stability and Determinacy - Examples (Determinacy)
Lateral Load Path
Переглядів 2,4 тис.3 роки тому
Lateral Load Path
Virtual Work Beam Example (cantilever variable cross section)
Переглядів 4,3 тис.4 роки тому
Virtual Work Beam Example (cantilever variable cross section)
Virtual Work Beam Example (simply supported, rotation at the end)
Переглядів 1,4 тис.4 роки тому
Virtual Work Beam Example (simply supported, rotation at the end)
Introduction to Virtual Work (includes use of integation tables)
Переглядів 2,4 тис.4 роки тому
Introduction to Virtual Work (includes use of integation tables)
Deformed shapes in frames (2)
Переглядів 5904 роки тому
Deformed shapes in frames (2)
Deformed shapes in frames (1)
Переглядів 1,2 тис.4 роки тому
Deformed shapes in frames (1)
Deformed shapes in beams (2)
Переглядів 3464 роки тому
Deformed shapes in beams (2)
Deformed shapes in beams (1)
Переглядів 2704 роки тому
Deformed shapes in beams (1)
Moment diagrams in frames
Переглядів 5574 роки тому
Moment diagrams in frames
Moment Envelopes
Переглядів 8174 роки тому
Moment Envelopes
Load Combinations (Introduction)
Переглядів 2,9 тис.4 роки тому
Load Combinations (Introduction)
Stability and Determinacy - Stability
Переглядів 4984 роки тому
Stability and Determinacy - Stability

КОМЕНТАРІ

  • @HungNguyen-dz4qo
    @HungNguyen-dz4qo 6 днів тому

    Dear Mr. Rodriguez Nikl, I hope this message find you well. Thank you very much for this video and many more in your channel! I hope you could find some time to share your knowledge via this channel. I wish you and family a happy holiday season, HN

  • @shaanchutoori
    @shaanchutoori 2 місяці тому

    Young graduates here, how would this concept apply to frames cause in this case we are using walls, and we can get the distances from center of rigidity and the wall, but what about a frame?

  • @shaanchutoori
    @shaanchutoori 2 місяці тому

    Young graduate engineer here, this concept was made very clear to me, however I have been asked to calculate the Center of mass and rigidity through hand calculations of a structure that is not purely a frame structure but a combination of load bearing and frame action on different grid lines. So I have tried converting the load bearing frame into a frame with an equivalent strut. Though I am yet to approach my seniors, I wonder whether this approach is logical?

  • @mumrah_
    @mumrah_ 2 місяці тому

    I ran the same script in MathLab but I get 7.58....not sure why

  • @mumrah_
    @mumrah_ 2 місяці тому

    Thank you!!

  • @ls-dyna9301
    @ls-dyna9301 2 місяці тому

    Thank you!

  • @Anghel57190
    @Anghel57190 3 місяці тому

    Force/load in the X-direction the value of "e=6.7" was it measured from CR to the line of force or the distance between CR and CM......thanks.

  • @AlexCain-dw8fs
    @AlexCain-dw8fs 6 місяців тому

    Thank you for putting this video together. Can you explain the why diaphragm force is different from the story shear we got from the ELF method. It appears the final forces are significantly larger than those story shears. Can you explain?

  • @afzalsyed7834
    @afzalsyed7834 7 місяців тому

    Thank you professor for breaking down this topic in very simple terms even a layman can understand. It would be a great help for engineers if you create and post more such content.

  • @hansai6304
    @hansai6304 9 місяців тому

    It's an absolutely amazing video, and it would be even better if it were subtitled😄

  • @ramihammoud2150
    @ramihammoud2150 9 місяців тому

    this PDNI plot is amazing THANKS!!

  • @venkatesh2285
    @venkatesh2285 Рік тому

    Could you please sone examples on how to design a lateral calculation when there is only one side and there is no walls on other sides?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 Рік тому

      To properly resist lateral loads, you need at least two lines of resistance, so I can't answer your question.

    • @venkatesh2285
      @venkatesh2285 Рік тому

      @@tonatiuhrodrigueznikl7816 on other sides I have retaining wall but those are not upto roof height but I have steel column and beam in another side.

  • @AliAlmurshid
    @AliAlmurshid Рік тому

    Thank you for this material, can you please tell me from where you get rigidity equation? and shall we use it for flexible system like wood shear walls?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 Рік тому

      The book we use in my class is Seismic Principles by Richards (www.amazon.com/Seismic-Principles-Paul-W-Richards-dp-B08KSLPPWL/dp/B08KSLPPWL/ref=dp_ob_title_bk). The equation for rigidity in this video applies to cantilevered walls, which is a safe assumption for wood shear walls. Note that there is a typo in the video. The factor in the second term in the denominator should be "0.3", not "3".

  • @TusharNagananda
    @TusharNagananda Рік тому

    thank you! very clear.

  • @esg9816
    @esg9816 Рік тому

    Is it really the reactions that will be multiplied with factor and not the load itself? Thanks

  • @nadeekachamupathi3149
    @nadeekachamupathi3149 Рік тому

    Great explanation

  • @MohamedIDIR190
    @MohamedIDIR190 Рік тому

    thanks a lot, this really helped me.

  • @NikephorosOceanus
    @NikephorosOceanus Рік тому

    Thanks for the refresher. Good exercise

  • @chichha420
    @chichha420 Рік тому

    Thank you so much sir. Good explanation and such basic topics are not covered in the university syllabus

  • @_.dace._
    @_.dace._ Рік тому

    thanks

  • @tonatiuhrodrigueznikl7816

    This simplified example only considers uniform masses. Please note that in practice concentrated sources of mass also need to be considered (e.g., the weights of concrete shear walls or permanent equipment).

  • @hectorvazquez2930
    @hectorvazquez2930 Рік тому

    Worst blog ever

  • @tonatiuhrodrigueznikl7816

    The value given for R for A2 and D2 is wrong (about 5:36). The correct value is 2.2443. This is just at typographical error and the subsequent calculations are correct.

  • @tonatiuhrodrigueznikl7816

    Note that there is a typographical error: w2 is incorrectly written as 0.9 when the correct value is 1.2. The subsequent values are correct.

  • @min-jae
    @min-jae Рік тому

    감사합니다 도움이 많이되었네요!

  • @smoothsmith123
    @smoothsmith123 Рік тому

    so good. Best explanation ever

  • @chrisaprile813
    @chrisaprile813 Рік тому

    I am glad I found your channel. You have a very concise way from explaining structures.

  • @faisalm294
    @faisalm294 Рік тому

    Any example how use this result to design diaphragm like chord,collector?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 Рік тому

      Design of diaphragms and collectors will depend on the specific material and structural type and is outside the scope of the video.

  • @saadyamin
    @saadyamin 2 роки тому

    Great video. I notice an issue; the rigidity formulas are shown correct initially but during solving the problem it is done with 3 instead of 0.3 in the denominator

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 Рік тому

      You are correct. Thank you for your comment. Thankfully, the resulting calculations (1.4286 and 2.2382) are correct; they use the 0.3 factor.

  • @civilengeneeringniyo5420
    @civilengeneeringniyo5420 2 роки тому

    Thank you for good explanations and i wish to ask you other question related to structure design please can i have your email address.

  • @opportunistera
    @opportunistera 2 роки тому

    Thanks for this knowledge.

  • @anthonyvelasquez4184
    @anthonyvelasquez4184 2 роки тому

    Is there a reason you do not consider the rotation of the joints at the pinned supports as DOF 4 & 5?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      You're allowed to omit rotational DOFs at moment-free ends provided that you use the right stiffness factors and force recovery process. We do this to reduce the problem to a 3x3 instead of the 5x5 it would otherwise be.

  • @seanmahoney6835
    @seanmahoney6835 2 роки тому

    Is there an error in your accidental eccentricity value? For your X direction, you have 1.5' listed, when 5% of 75' is 3.75, and it appears the same mistake is made in the Y direction

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      You scared me there for a second, but the video is indeed correct. For loading in the x-direction, you move the CM in the y-direction, thus making the moment arm (perpendicular to the direction of loading) larger. Thus, the values given in the video are indeed correct.

  • @robelgeremew8343
    @robelgeremew8343 2 роки тому

    You forgot the square on the force formula . or didnt yout 😅

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      Can you provide more details? Around 1:25 in the video there is a division by d that results in an Rd term in the denominator. Maybe that is the reason for your question.

    • @robelgeremew8343
      @robelgeremew8343 2 роки тому

      @@tonatiuhrodrigueznikl7816 thanks for clearing it up

  • @robelgeremew8343
    @robelgeremew8343 2 роки тому

    what is SFRS ?

  • @aswinkumar731
    @aswinkumar731 2 роки тому

    In the deflection curve, will the curve be continuous?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      Yes, the curve will be continuous.

    • @aswinkumar731
      @aswinkumar731 2 роки тому

      @@tonatiuhrodrigueznikl7816 won't the change in cross section affect the curvature?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      @@aswinkumar731 Yes. There will be a discontinuity in the curvature but slope and displacement will be continuous.

  • @valentinraeber9862
    @valentinraeber9862 2 роки тому

    what kind of book do you use with the stiffness definitions?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      We use an appendix from a published structural analysis book. The title doesn't come to mind, but any intermediate or advanced structural analysis text will have similar appendices.

  • @ganeshjala7691
    @ganeshjala7691 2 роки тому

    W2 Should 18/15=1.2

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      You are indeed correct. Thank you for pointing that out. It was a typographical error - the subsequent shear calculation *is* still correct. I'll need to recut an repost the video; in the meantime, viewers, please make note of the error.

  • @rushabhsonaiya7601
    @rushabhsonaiya7601 2 роки тому

    hey could you please answer this query. if rcc slabs act as rigid diaphragms . are they designed for any lateral forces acting on them or only for gravity forces?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      Yes. You can see an example in this video: ua-cam.com/video/cvGvipX3brE/v-deo.html.

  • @anupshres007
    @anupshres007 3 роки тому

    Hi thanks for this vid. can you post a video explaining collector connection to wall design. what forces to consider?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      Collectors are certainly a difficult topic to visualize and I see the value in your suggestion. Thank you for making it; I'll keep it in mind.

  • @yousefabuamneh6620
    @yousefabuamneh6620 3 роки тому

    What if b is not the same in the integration table, in the two shapes?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      b will always be the same because we are considering two loadings *on the same member*

  • @mahmoudsamir1685
    @mahmoudsamir1685 3 роки тому

    Thank you for your effort, if it is possible you upload the sheet excel I will be thankful 🙏

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      Thank you for the suggestion. At the moment, sharing files is beyond the scope of work for this UA-cam channel. I'll keep it in mind for the future.

  • @nestorgonzales2828
    @nestorgonzales2828 3 роки тому

    Can you check your R for A2 and D2 for d = 10' and h = 8'

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      You are correct. The R for these is 2.2443. However, this is apparently just at typographical error and the subsequent calculations are correct. I'll get around to recutting and reposting the view sometime, but for now, viewers, please make note of the error.

  • @CMRHM
    @CMRHM 3 роки тому

    Good explanation. However, since there are gravity and lateral loads, how do we make sure the final design meets both of gravity and lateral loads?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      The exact design checks will depend on the material use (e.g., concrete or steel). An answer to that will require taking the relevant design course.

  • @rcsouljp
    @rcsouljp 3 роки тому

    Hello, thanks for your awesome courses. Is the course "previously in the course..." you mentioned at 2:30 still exist?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      These videos are meant for a university course, so "previously in the course" may not always refer to a video on the channel. Sorry for the confusion.

  • @khurramali1975
    @khurramali1975 3 роки тому

    I really like the way you describe in pictorial diagram , which software you use for making those?

  • @brianchasecook20
    @brianchasecook20 3 роки тому

    You just calculated the geometric center. Not the center of mass.

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 3 роки тому

      You are correct. The geometric center is the center of mass if the diaphragm is homogenous, which is the case if the weight of the walls is assumed to be smeared evenly over the diaphragms. Of course, it would be more precise (at the cost of complexity in an introductory video) to include the weights of the walls and their explicit location.

    • @brianchasecook20
      @brianchasecook20 3 роки тому

      ​@@tonatiuhrodrigueznikl7816 Somewhat true. If you use, say, 250psf live load...a heavy storage load...you must consider a portion of that load in the seismic analysis, as you would with a snow load above 30psf. So regardless of the homogeneity of the diaphragm there can be different COMs. Also, the equations used in this example say COM = x bar times area, etc. When actually, the COM = the sum of the masses x distance over the sum of the masses. We had a young engineer in our office calculate the COM using your geometric center equations and when I was explaining it to them they said the picked it up on this video. We encourage our young engineers to do their own research so it is my responsibility to vet the resources. In the true scientific sense, COM never equals GC. They may happen to both equal the same value, but they themselves are not equal.

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 2 роки тому

      I'm embarrassed about the delay in my reply. I appreciate your attention to detail and to the education of your young engineers. I agree that this is not well explained for the reasons you describe. I intend to recut and repost the video; in the meantime, viewers, please make note of this important clarification.

  • @rdtw8988
    @rdtw8988 3 роки тому

    Hi, thank you very much for making these series of videos. I benefit a lot from them. I like the way you present and explanation them, logically and easy to follow and very inspiring. Huge thanks again!!! Looking forwards to your future videos

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 3 роки тому

      Thanks for the feedback. Glad you like them.

    • @alirezaghorbani2855
      @alirezaghorbani2855 Рік тому

      Hi Dr. Tonatiuh, I watched all the diaphragm topics which you presented and I really enjoyed it. Thanks

  • @777bennet
    @777bennet 3 роки тому

    Excellent presentation. Please add strength eccentricity ( center of strength) also.

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 3 роки тому

      Thank you. Good suggestion. Strength eccentricity is an advanced topic, so no promises about when that topic might appear.

  • @krystiankwinta
    @krystiankwinta 3 роки тому

    Hi. What happens if i have X-brace instead of shear walls? How to calculate center of rigidity? Can you provide example video for that case?

    • @tonatiuhrodrigueznikl7816
      @tonatiuhrodrigueznikl7816 3 роки тому

      An example video probably won't come for a while, but the concepts here apply to any lateral system. For a braced frame, barring a more detailed analysis, look at this reference from the AISC: www.aisc.org/globalassets/modern-steel/steel-interchange/2013/012013_si.pdf.

    • @krystiankwinta
      @krystiankwinta 3 роки тому

      @@tonatiuhrodrigueznikl7816 Many Thanks for this article.