I'm interested in learning how the math works behind buildings'

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>>8718887
its called FEA nigga

I know the integral of a 2-d plane, but how do I start with 3 variables?

>>8718891
without software?

>>8718899
Solve a lot of coupled pdes.
good luck

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>>8718899
HAHAHAHAHA

better learn to code. do you know FORTRAN?

there isn't an analytical solution to your question. its all numerical approximation with a toolbox full of slightly different methods.

>https://en.wikipedia.org/wiki/Numerical_analysis
>https://en.wikipedia.org/wiki/Crank%E2%80%93Nicolson_method
>https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods
>https://en.wikipedia.org/wiki/Finite_element_method

you technically CAN do it by hand, but good fuckin' luck.

>>8718918
>>https://en.wikipedia.org/wiki/Numerical_analysis>https://en.wikipedia.org/wiki/Crank%E2%80%93Nicolson_method>https://en.wikipedia.org/wiki/Runge%E2%80%93Kutta_methods>https://en.wikipedia.org/wiki/Finite_element_method
even tho ur laughing at me, thanks