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Pre-Analysis
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&
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Start-Up
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Pre-Analysis
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There
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are
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three
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difference
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theories
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for
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finding
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the
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solution
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for
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the
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bending
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of
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a
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curved
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beam.
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There
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is
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elasticity
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theory,
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where
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} $$ \sigma_r = (\frac{4M}{tb^2N}) [( 1 - \frac{a^2}{b^2}\ln(\frac{r}{a}) - (1 - \frac{a^2}{b^2})\ln(\frac{b}{a})] $$ and $$ \sigma_\theta = (\frac{4M}{tb^2N}) [(1 - \frac{a^2}{b^2})(1+\ln(\frac{r}{a})) - (1 + \frac{a^2}{r^2})\ln(\frac{b}{a})] $$ where $$ N = (1 - \frac{a^2}{b^2})^2 - 4(\frac{a^2}{b^2})\ln^2(\frac{b}{a}) $$ {latex} There is Winkler Bach Theory, where {latex} |
There is Winkler Bach Theory, where
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$$
\sigma_x = \frac{M}{AR} [ 1 + \frac{y}{Z(R + y)}]
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where
$$
Z = -1 + \frac{R}{h}\ln[(R+\frac{h}{2})/(R - \frac{h}{2})]
$$
{latex}
And there is the straight beam theory, where
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And there is the straight beam theory, where
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latex} $$ \sigma_x = \frac{My}{I} $$ {latex} h3. ANSYS Simulation Now, |
ANSYS Simulation
Now, let's
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load
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the
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problem
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into
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ANSYS
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and
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see
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how
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a
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computer
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simulation
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will
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compare.
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First,
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start
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by
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here
The zip file should contain the following contents:
- Curved Beam Solution_files folder
- Curved Beam Solution.wbpj
Please make sure to extract both of these files from the zip folder, the program will not work otherwise. (Note: The solution was created using ANSYS workbench 13.0 release, there may be compatibility issues when attempting to open with older versions).
2. Double click "Curved Beam Solution.wbpj" - This should automatically open ANSYS workbench (you have to twiddle your thumbs a bit before it opens up). You will be presented with the ANSYS solution.
A tick mark against each step indicates that that step has been completed.
3. To look at the results, double click on "Results" - This should bring up a new window (again you have to twiddle your thumbs a bit before it opens up).
4. On the left-hand side there should be an "Outline" toolbar. Look for "Solution (A6)".
We'll investigate the items listed under Solution in the next step in this tutorial.