(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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]

2. Relevant equations

n/a

3. 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

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# Homework Help: Simplify definite integral formula

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