Determine properties of each figure possible. (more easy)

[jdeboon]

Hellow,

I have made a mathcad file, whereas it is possible to calculate the basic properties of every figure, this is great for quick determination for difficult shaped beams.

Starting with,

X and Y coordinates as a table,  -> and then draw the figure -> calculate all possible properties (Area, moment of inertia, center of grafity etc)

See underneath for Area.

The calculation has been checked for many options and it works fine.

But, i still think there is a more easy option for this problem.

Question is;

Is there a possibility to do this same calculation via intergration? 

if so how?

[StuartBruff]

Hi Johan,

It would be helpful if you could post you worksheet.  That way somebody could probably offer more exact help.

Cheers,

Stuart

[jdeboon]

thanx, i added the file.

Note it is in dutch, but i think still understandable.

https://community.ptc.com/t5/PTC-Mathcad/Eigenschappen-elke-willekeurige-ligger-nog-wel-uitbreiden-xmcd/td-p/444749

[VladimirN]

Stuart,

Here it is: Eigenschappen elke willekeurige ligger (nog wel uitbreiden!!!).xmcd

[jdeboon]

For the file see

Eigenschappen elke willekeurige ligger (nog wel ui... - PTC Community

[LucMeekes]

Johan,

Het is vervelend als een discussie over meerdere draden verdeeld raakt, en het is ook niet nodig.

Het is mogelijk om een bestand gewoon aan een start-item of antwoord in een discussie te hangen. Gebruik daarvoor de 'advanced editor' (zie rechterbovenhoek). Of plaats eerst je bericht en en gebruik dan de 'edit' optie uit de 'Actions' links-onder om alsnog een aanhangsel aan te hangen.

Luc

[Werner_E]

Not sure what exactly you are looking for.

You could do your calculations with vectors x and y of variable length and without a range variable that way:

[LucMeekes]

Johan,

Attached a modified version, to show you some possibilities, also using Werner's hint.

{I don't know what exactly you mean with 'intergration', but if you mean integration (summing infenitesimal area parts, as described by Newton, Leibniz etc.) that will only work well if you can describe the shape as a function.}

If you have further questions, don't hesitate to ask.

Success!

Luc