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Finite Element Method

SOLVED
Level 7

Finite Element Method

Hello everyone !

 

How do I solve this rigidity matrix exemplified below. I am using Mathcad Prime 3.0, I can not progress in the calculation. The goal is to find all the displacements.

Can you help me ?

 

Exemplo01.jpg

Thanks !

 

1 ACCEPTED SOLUTION

Accepted Solutions

Re: Finite Element Method

I don't use Prime but here is one way. 

Picture.jpgI hope this is what you're looking for.

D.Shabani

3 REPLIES

Re: Finite Element Method

I don't use Prime but here is one way. 

Picture.jpgI hope this is what you're looking for.

D.Shabani

Highlighted
Level 7

Re: Finite Element Method

Hello,

I wrote the formula but presented this error.

Exemplo02.jpgThanks !

Level 20

Re: Finite Element Method

You are missing to solve for u1 compared to the solution by DrilonShabani

That way u1 is never defined. Of course you could manually define u1:=0 somewhere in your sheet.

Bild.png

But why aren't you just using the smaller matrix like

Bild1.png

And there are also other ways to get the values without having to use the symbolic solve command. The first two of the following could also be evaluated symbolically, if you really need the exact fraction values.

Bild2.png

Of course these methods would also work for the 5x5 matrix

Bild3.png