The Finite Element Method | Part 14: 3D Member Stiffness and Transformation

[@donaldkhanye9011]

Hello Dr. CEE, This stuff is packed, and you, my dear sir are truly amazing considering how you are able to effortlessly break it down to a 15 min content rich lecture. It took me hours between the video pauses ^_^ and writing the stuff down on paper to begin to appreciate most of it. I do find the CEE approach shown here to finding Lambda (by finding local axes unit local vectors) to be very relatable (thank you for taking the time and for explaining this). I don’t have much else to compare the above approach with at the moment because I have not yet looked at nor figured out how the referenced text is doing this. But I can say that I am very satisfied with the CEE approach. Question: When finding the local y’ unit vector, the cross-product Z x x’ was used. From earlier discussion on this lecture, there is a special case problem 09:36 where Z and x’ may be parallel (as opposed to being perpendicular). EDIT: My question is how does one deal with this situation in the calculations? I have re-watched the video from 09:36 and I am tempted to think that (in the special case problem) why not cross-product the local x and the GLOBAL Y to get the local z instead…and then after that use (cross-product) the newly found local z and the local x to find the local y? I have enjoyed the video and I found it to be very beneficial. Thank you so much for making these videos, they are like a journey through an enchanted forest for me. Keep well and kind regards, DK

[@CivilEngineeringEssentials]

Hi there Engr. DK, Glad you like the approach of unit vectors. I kind of find it more relatable than just some strange m n l factors. Your idea of "cross producting x' and glo. Y" is what STRADO does ^_^ This is also partially what Robot is doing, but of course with different axis order. So yes, it can be done. I should have mentioned it ^_^ Happy you liked it, and stay tuned for more content. Regards, CEE

[@donaldkhanye9011]

Hello Dr. CEE, Congratulations on your new home (house). My two cents worth is that you should really really ^_^ let yourself be immersed and enjoy the experience and the chaos of course, what is happening is the very definition of life, those moments right there is where you make treasured memories with your loved ones. I would not trade those moments that you are currently going through, I would instead live them as they come, YOLO 😊. Speaking for myself, I hold no ill will regarding the release schedule or the content, you should take as much time as you need. I am more than satisfied with your current videos and your reasons (not that you needed to provide any reasons). Thank you Doctor for what you have already given to the world. Enjoy life experiences and I’ll catch you in the next CEE videos when you are ready. Regards, DK

[@CivilEngineeringEssentials]

Hi there Engr. DK, Indeed, it is part chaotic, part memorable. Me and the kids are settling in a new home so you know how it is ^_^. thnx a lot for your understanding. Regards, CEE

[@spyridonstouraitis8530]

Thanks for you information, you must be a very good teacher. May I ask you, in what book are you referring? Thanks.

[@CivilEngineeringEssentials]

Thnx a lot. A first course in the finite element method by daryl l logan. You can find it online