This is the best lecture I have ever seen. Thank you so much for posting this on youtube!

Thanks Dr. Clayton for your intuitive explanation.! Probably the best resource for FEM on the internet. I appreciate your emphasis on engineering application of FEA rather than bunch of useless math and cumbersome handwritten equations.!

These video lectures are treasures in the internet!!!!!!! Thank you very much.

Dear Dr. Clayton, your video has been helpful for me. I watched it over and over. In the end it was brilliant.

Thank you very very much, Clayton. It's my favourite course. it's very very clear and the slides are perfect!!!

-the best video about to FEM ever.

Best lecture ever! I'll absolutely recommend this!

the best lecture ever on this topic, thank you.

Gem of a teacher!

Thanks for the great lecture 🙏🏻🙏🏻

Well explained. Thank you very much.

Thankyou so much for the course. It's really great

Thanks to you Clayton, FEM stands for Fun&Easy Method.

Merci beaucoup!!!

super course!

Thank you for the beautiful lectures and thank you for using the term dogshit when talking about trial functions.

very nice explanation thanks a lot

Hi Clayton, Very good presentation. Are your mathematica files are available for download.

I don't see any video in the set that covers beam bending, and the inevitable beam element that contains bending, axial & torsional stiffness.

great lecture,can you share the codes of mathmatics

In the Euler-Bernoulli beam case, why don't we consider the shear stress when we calculate the strain energy? I understand that the Euler-Bernoulli beam kind of ignores the shear stress. Then, is the shear stress calculated from Lecture 2 just an approximated value?

I Wish you can share your code here on youtube too

For an Exact solution in the assigment problem. we need 4 BC's because of 4th order DE. For the left segment of beam ( of point load) : We have y(x=0)=0,y'(x=0)0, and what are other 2 BC's ? Do we need to slove this beam first for the reactions and then calculate Moments and Shear at point load location and then we have ( y' ' (x=0)=moment calculated by hand) and ( y' ' ' (x=0)=shear calculated by hand - point load ) as our other 2 BC's ? And same for the right segment of beam i.e. right of point load. Looking forward to your rply or may be you have some solution you can post or a video. thanks

One question: when does the Galerkin method give the exact solution?

At 2:19:25, when you ask why there is no solution, I think the second derivative of u_approx eliminates a_1, so instead of having an infinite solution, the answer is that there is no solution (you have three equations and two variables and the system is overdetermined). So there are two problems here: one is the elimination of a_1 and the other problem is the non-consideration of the non-essential boundary condition. I'm wrong?

This is so good. I would like you to speak slower. Tanx.

You explain to much the mathematical principles and not enough visual explanation of what happens on a beam. In the first 2 lectures you did it better, especially with solid mechanics.