- #1
jvo
- 3
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Homework Statement
Working my way through Zienkiewicz's "FEM its basis & fundamentals" I am stuck on the following example:
[itex]
- \int_{y_1}^{y_2} t N1 \left\{ \begin{array}{c} \sigma_x \\ \tau_y \end{array} \right\} dy =
-\left\{ \begin{array}{c} k_x t (2 y_1 + y_2) (y_2 - y_1) / 6 \\ 0 \end{array} \right\}
[/itex]
with values:
[itex] N1 = \frac{ y_2 - y }{ y_2 - y_1 } [/itex]
[itex] \sigma_x = k_x y [/itex]
and [itex] \tau_y = 0 [/itex]
Homework Equations
n/a
The Attempt at a Solution
My result for the above integral is: [itex] k_x t \frac{ y_2^3 - 3 y_2 y_1^2 + 2 y_1^3 }{6 (y_2 - y_1)} [/itex]
Tried to simplify the formula by dividing by (y2 - y1) and (y2-y1)^2 but I don't see how to get to the same result as in the book. What am I doing wrong here?
For more detail, see the attachments with the page from the book and my results.
Thanks in advance.
Jo