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Tonatiuh Rodriguez Nikl
United States
Приєднався 4 чер 2016
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.
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Відео
Flexibility Method for Continuous Beams
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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)
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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Typical Seismic Weight Calculations
Stability and Determinacy - Examples (Determinacy)
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Stability and Determinacy - Examples (Determinacy)
Virtual Work Beam Example (cantilever variable cross section)
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Virtual Work Beam Example (cantilever variable cross section)
Virtual Work Beam Example (simply supported, rotation at the end)
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Virtual Work Beam Example (simply supported, rotation at the end)
Introduction to Virtual Work (includes use of integation tables)
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Introduction to Virtual Work (includes use of integation tables)
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
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?
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?
I ran the same script in MathLab but I get 7.58....not sure why
Thank you!!
Thank you!
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.
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?
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.
It's an absolutely amazing video, and it would be even better if it were subtitled😄
this PDNI plot is amazing THANKS!!
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?
To properly resist lateral loads, you need at least two lines of resistance, so I can't answer your question.
@@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.
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?
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".
thank you! very clear.
Is it really the reactions that will be multiplied with factor and not the load itself? Thanks
Great explanation
thanks a lot, this really helped me.
Thanks for the refresher. Good exercise
Thank you so much sir. Good explanation and such basic topics are not covered in the university syllabus
thanks
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).
Worst blog ever
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.
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.
감사합니다 도움이 많이되었네요!
so good. Best explanation ever
I am glad I found your channel. You have a very concise way from explaining structures.
Any example how use this result to design diaphragm like chord,collector?
Design of diaphragms and collectors will depend on the specific material and structural type and is outside the scope of the video.
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
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.
Thank you for good explanations and i wish to ask you other question related to structure design please can i have your email address.
Thanks for this knowledge.
Is there a reason you do not consider the rotation of the joints at the pinned supports as DOF 4 & 5?
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.
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
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.
You forgot the square on the force formula . or didnt yout 😅
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.
@@tonatiuhrodrigueznikl7816 thanks for clearing it up
what is SFRS ?
Seismic Force Resisting System
you have been such a help dont mind my grammer 😀
In the deflection curve, will the curve be continuous?
Yes, the curve will be continuous.
@@tonatiuhrodrigueznikl7816 won't the change in cross section affect the curvature?
@@aswinkumar731 Yes. There will be a discontinuity in the curvature but slope and displacement will be continuous.
what kind of book do you use with the stiffness definitions?
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.
W2 Should 18/15=1.2
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.
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?
Yes. You can see an example in this video: ua-cam.com/video/cvGvipX3brE/v-deo.html.
Hi thanks for this vid. can you post a video explaining collector connection to wall design. what forces to consider?
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.
What if b is not the same in the integration table, in the two shapes?
b will always be the same because we are considering two loadings *on the same member*
Thank you for your effort, if it is possible you upload the sheet excel I will be thankful 🙏
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.
Can you check your R for A2 and D2 for d = 10' and h = 8'
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.
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?
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.
Hello, thanks for your awesome courses. Is the course "previously in the course..." you mentioned at 2:30 still exist?
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.
I really like the way you describe in pictorial diagram , which software you use for making those?
Thanks. These were done simply with PowerPoint and a bit of patience.
You just calculated the geometric center. Not the center of mass.
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.
@@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.
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.
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
Thanks for the feedback. Glad you like them.
Hi Dr. Tonatiuh, I watched all the diaphragm topics which you presented and I really enjoyed it. Thanks
Excellent presentation. Please add strength eccentricity ( center of strength) also.
Thank you. Good suggestion. Strength eccentricity is an advanced topic, so no promises about when that topic might appear.
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?
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.
@@tonatiuhrodrigueznikl7816 Many Thanks for this article.