(adsbygoogle = window.adsbygoogle || []).push({}); Solving constraint equations [Term Paper, HELP plz]

Hi, I am new here. I'm not sure if this fits in calculus&analysis forum, but i figured its not really simple math so, please move it into approprieate area if deemed necessary...

I am doing materials selection analysis and my constraint equations came down to:

Yield strength constraint

Mass constraint

Deflection constraint

310000>25/(3.14*X*(X+2*Y))

3.3>.45*3.14*ρ*X*(X+2*Y)

0.002>(15*.09)/(12*220000000*X*(X+2*Y)*(((X+Y)^2)+(Y^2)))

where X is wall thickness of a hollow cyllinder and Y is its inner radius. All other constants are evaluated for simplicity. Basically I need to find the ranges for X and Y that satisfy all three conditions..

I plotted all 3 equations as surfaces equating them to Z, and got the general picture of behaviors, but now I need to cap the Z-values of each surface by the constraint values and look at the X-Y plane in 2D to find the required range... I have no idea what software would do this part and if i knew, HOW would i get it to do it...

ANY HELP IS GREATLY APPRECIATED!!! I am not stuck on this method, itd be kinda nice to get the result graphically, but at this point ANY method you would suggest would do just fine! My deadline is in a day, so I am really in a crunch here!!!

thanks in appreciation,

Eugene

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# Solving constraint equations [Term Paper, HELP ]

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