Find the values matching the boundary defined by vectors

[netoprax]

I have the following boundary and an angle with the origin

Pr and Mr are 1 x n vectors. I need to find, by interpolation, what is the value of Pr and Mr that correspond to the angle. what is the easiest way to do that on Mathcad?

I am using Mathcad prime 9.0.0.0. Attached the file

[Werner_E]

Can you post a worksheet?

And say which version of Prime you are using (especially important if you are not using the latest version)

One way I can think of is to calculate a vector Phi with all angles corresponding to all points (M;P).

Then you can create two interpolating functions (may linear interpolation with "linterp") M(phi) and P(phi) using the vectors Phi and M , and Phi and P respective. Now you would have functions which return M and P values for any given angle phi.

[netoprax]

I edited the post to include both: file and version. Thanks!

[Werner_E]

OK, when you talk about the angle you have to be aware that this angle is dependent on the units the quantities are displayed in.

Should a point like #10  M=1423.44 kNm,  P=14074.94 kN  correspond to the angle 84.225 °  ??

It won't look that way in the plot because different scales are used on both axis:

[Werner_E · Accepted solution]

Here is the solution given the assumptions made in my previous reply.

Prime 9 sheet attached

[netoprax]

That is right, the results would be dependent on the unit

as you assumed below, using kN and kN.m is ok, since I just need to compare the values of a point (Mr, Pr) passing through that angle with the values of Mr, Pr at the boundary.