algebraic calculations & visual verification of equilibrium

algebraic calculations & visual verification of equilibrium - example of equilibrium calculations - Messages

#1 Posted: 3/11/2021 10:39:55 AM
Laurent Fournier

Laurent Fournier

9 likes in 66 posts.

Group: User

For civil engineers and anyone interested:
I have implemented some methods to calculate the equilibrium of forces in 2D, and their visual verification.
It is a sort of "graphic statics" where the algebraic calculations and their visual verification are performed in parallel,
thus helping a very easy and quick verification of the calculations. I handle the colours of lines by "cycling", and the rotation and translation of elements and "components" (assembly of elements).
I have seen that several people in this forum have been working on similar lines.
My method can be improved a lot (more systematic, more simple, and maybe an explicit and direct handling of colours) so I thought of sharing a real case sample of how I utilise it, in case anyone can improve it or get ideas from it, or is simply curious.
I made use of the text regions so that the calculations and graphic verification are side-by-side.
I am sure there is a lot of scope for improvement in terms of simplicity of use, clarity of results, and maybe robustness of calculations.

Cheers!
LaurentAnandabad Community Centre wind calculations 25-9-2020.sm (782 KiB) downloaded 97 time(s).

Note:
The maths for intersecting lines are from the book "perspectives on projective geometry" by Jurgen Richter-Gebert.
#2 Posted: 3/11/2021 11:26:47 AM
Laurent Fournier

Laurent Fournier

9 likes in 66 posts.

Group: User

how the structure looks:
IMG-20200720-WA0022aa.jpg
23 battens.jpg
1 users liked this post
Fridel Selitsky 3/11/2021 12:21:00 PM
#3 Posted: 3/11/2021 2:51:09 PM
Jean Giraud

Jean Giraud

983 likes in 6866 posts.

Group: User

Wrote

I am sure there is a lot of scope for improvement in terms of simplicity of use, clarity of results, and maybe robustness of calculations.


Sorry Collab: red top to bottom SS 6179.
All equations are packed ... about can't explode.
Maybe smaller pieces up to the first result.


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