Sup /sci/ - engineer-fag here, I need some help here
I need to come up with a mathetical model I can cram into mapple for a wonky little shape here
I just can't figure out how I'm supposed to do this.
its basically for a squished circle that has partially flattened out on the ground.
the top half is an ellipse 0.8 meters high, 2.25 meters to either side.
The bottom half is mainly a long flat stretch with circular ends that meet with the ellipse, radius 1 meter.
I need a mathematical model for this.
I know the model for a circle is (x-h)^2+(y-v)^2=r, with h and v being the horizontal and vertical center point coordinates.
For an ellipse its (x^2)/H + (y^2)/V=1, assuming its centered at (0,0)
how the fuck do I split that up I can model the thing in pic related?
homeworks goes in >>>/hm/
>>8746989
I think I'll pass on that - this board has "math" in the title, I'll stick to that
>>8746984
Use two functions.
First, use an even degree polynomial to model the bottom
Then use an ellipse to model the top
Pic related.
>>8747002
that is a great idea anon - however, I need a single formula for this thing, for a larger equation
its work related
>gotta figure out how much a tube shaped like is being strained when its filled with water
>formula to to calculate that requires a formula for the shape of the 'shell'
the formula is
T/P(0.8) = ([1+(Y´)^2]^3/2)/Y´´
and Y would be the formula for the shell, P(x) is the water pressure in the tube at depth x, which is a known value, and T is the tensile force which I need to find, because that's needed to spec the thickness of the plastic that the tube is to be made out of.
>>8747011
Well, I can tell you that there is no formula for your shape. It is not a simple shape. You have to define it with various functions.
You will have to find a way to work around this.
>>8747011
Do a parametric curve. You can create almost any shape parametrically
You may be able to find one in polar coordinates.
OP here
thanks for the feedback
It saddens me that no simple solution is possible - there are just too damn many variables in this
This was for development of an XBOX-HUEG tube for making temporary coffer dams - for flood protection, or if you need to cut a river in half or something
Oh well, I'll have to find another solution
>>8747075
Try a polynomial regression on polar coordinates.
>>8747075
Why not just use some of the water? Like divert it to Six Flags or let people drink it or water a farm or something?
Damn, engineers sure are dumb.
>>8746989
How women can even compete jesus christ
>>8747011
Make the shape in paint, then anyaliticly measure the distance to the rim of the shape. Use regression to find the polar equation.