Hi Clayton! A bit late to the party so allow me to add myself to the plethora (hopefully) of viewers who have praised your lectures before asking. Now to the question: How does the 1-X2 upper limit of the integral in the calculation of the element stiffness matrix is deducted? In the X1 direction, the triangle's side goes from 0 to 1 (same as X2 direction where the limits of the integral are from 0 to 1). In addition, it would be helpful to add that ke eventually becomes: t.A.[B_transpose].[C].[B], where "A" is the area of the triangle (1/2 x determinant of the coordinates 3x3 matrix) and t the thickness. Thank you.
So beautiful explanation. But you said we can get the stiffnes matrix with out double integration. how..? please tell us specially for the LST triangle with 6 nodes. Thank you sir .
Hey Clayton, I was wondering where you discuss about doing the integration quickly (at timestamp 12:50)? Is it explained in another video? Is it the same as 'Gaussian Integration' shown in the Isoparametric Elements video (Lecture 6 ua-cam.com/video/gJzqCaOEqsA/v-deo.html )?
Hi Isha! This is correct :) I discussed it in my lecture videos but have yet to make a dedicated video on the concept as the scheme is modified a bit for triangular elements. I will work on the dedicated video soon!
Great question! I covered during my live lecture (ua-cam.com/video/ukrQuaiqvCc/v-deo.html - Time 1:50:56). I should have covered it in more detail here but as they do not change (mostly haha) I decided to just present them :P
omg! this is the best video ever on FEM. help me clear all my concepts which I knew wrongly. thankyou so much
Thanks for your lectures. It is very helpful to me.
Hi Clayton! A bit late to the party so allow me to add myself to the plethora (hopefully) of viewers who have praised your lectures before asking. Now to the question: How does the 1-X2 upper limit of the integral in the calculation of the element stiffness matrix is deducted? In the X1 direction, the triangle's side goes from 0 to 1 (same as X2 direction where the limits of the integral are from 0 to 1). In addition, it would be helpful to add that ke eventually becomes: t.A.[B_transpose].[C].[B], where "A" is the area of the triangle (1/2 x determinant of the coordinates 3x3 matrix) and t the thickness. Thank you.
The lectures are too beautifull and really well explained
Hello sir. Can you link where you explained how to get a shape function?
Thank you it was really great. I appreciate
So beautiful explanation. But you said we can get the stiffnes matrix with out double integration. how..? please tell us specially for the LST triangle with 6 nodes. Thank you sir .
2d quadric triangular means sir
Hey Clayton, I was wondering where you discuss about doing the integration quickly (at timestamp 12:50)? Is it explained in another video? Is it the same as 'Gaussian Integration' shown in the Isoparametric Elements video (Lecture 6 ua-cam.com/video/gJzqCaOEqsA/v-deo.html )?
Hi Isha! This is correct :) I discussed it in my lecture videos but have yet to make a dedicated video on the concept as the scheme is modified a bit for triangular elements. I will work on the dedicated video soon!
@@ClaytonPettit Thanks for confirming! Grateful for your videos. They’ve been a saviour for my FEM class this semester. :)
Hello Clayton, I have really enjoyed listening to your lectures, please where do I find the video of the process of getting the shape functions?
Great question! I covered during my live lecture (ua-cam.com/video/ukrQuaiqvCc/v-deo.html - Time 1:50:56). I should have covered it in more detail here but as they do not change (mostly haha) I decided to just present them :P