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Beginners Question - 1-d Isoparametric Mapping

Beginners Question - 1-d Isoparametric Mapping

Beginners Question - 1-d Isoparametric Mapping

(OP)
Hello all,

I´m kind of shy about posting this obvious 'beginner's question' about finite element method formulation, but I'd be extremely grateful if someone could take the time to maybe help me.

The problem I´m trying to understand is a bar with a non-uniform cross-section (E.A(x) = (EA0/2).(2 - x/L)
and is subject to a uniformly distributed axial load f. I would like to solve this problem with both 1 and 2 elements.

The differential equation for the problem is: d²u/dx² + f = 0, with the boundary conditions u(0) = du/dx (0) = 0 .
I have already solved for the analytical solution, and I would like the finite element solution with 1 and 2 elements.


Can anybody help me out?

RE: Beginners Question - 1-d Isoparametric Mapping

i reckon your not asking how to make an FE model (of one or two elements) ...

are you trying to formulate your own element ?

or are you trying to "hand crank" and FE solution ? ... look into Bruhn, he has examples of basic models built of basic endload elements.

 

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