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algebraic calculations & visual verification of equilibrium - example of equilibrium calculations - Messages
#1 Posted: 3/11/2021 10:39:55 AM
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.
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.
#3 Posted: 3/11/2021 2:51:09 PM
WroteI 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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