# Homework Help: Shpae functions FEM

1. Apr 4, 2012

### dirk_mec1

1. The problem statement, all variables and given/known data
http://img545.imageshack.us/img545/8149/13862239.png [Broken]

The displacement functions:

http://img256.imageshack.us/img256/2743/13939694.png [Broken]

Derive the displacement functions 2-10 up to 2-13.

2. Relevant equations
Third cubic polynomial and elementary beam theory

3. The attempt at a solution
I don't understand how the displacement functions can be derived can somebody give me a hint?

Last edited by a moderator: May 5, 2017
2. Apr 7, 2012

### dirk_mec1

Hmmm, the title should read displacement functions. The thing is I know that $\xi$ should run between 0 and 1 (because $\xi = x/L)$. But why is the displacement: $$y(0) = \theta_1 \cdot L$$ shouldn't there be a correction for the second angle? Moreover why is the displacement at the end zero e.g. why is y(1) =0?

By the way the picture ends like this:

http://img252.imageshack.us/img252/4352/31333995.png [Broken]

ands starts like this:

http://img341.imageshack.us/img341/4606/99014438.png [Broken]

Last edited by a moderator: May 5, 2017