Using 'for' function to determine all combinations from four sets of variables

Question

I was wondering if anyone can help me create a programme in MathCAD for the following situation.

I have four matrices

1 column x 2 rows : variable 1 - representing the length of two members
2 columns x 3 rows : variable 2 - each column represents three load scenarios associated with two respective members above
1 column x 3 rows : variable 3 - considers three other load scenarios
1 column x 2 rows :variable 4- distance at which the values provided in matrix three can act along the members mentioned in matrix 1

Therefore all I want to is do is determine the 18 results that would result from the following equation

M=value+vvariable1*variable2+variable3*variable4

I have been trying to do this using the 'for'' function. Ideally the programme would do the following to detemine the 18 combinations

use first row values from matrices 1 and 4 then
1. use row 1 of matrix 3 and resolve for the three values in matrix 2
2. repeat steps above for both rows 2 and 3 of matrix 3
repeat all of step 1 using the second row values from matrices 1 and 4
Output a matrix of results to create either 1x18 matrix or 3x6matrix

I hope this makes sense to some and any help will be appreciated. I have been going around in circles today at work putting off the innevitable of manually doing which would make it look an untidy document.

Many Thanks

Werner_E · Accepted Answer

There a some different errors in the sheet which i hav corrected - see attached with remarks

As you have changed ORIGIN from default 0 to 1, you have to change the range variables in my routine accordingly
The way you had written the local assignment was wrong, every calculalation would overwrite the preceding one and so the routine would return the last value only. Changed the LHS so a 3*6 matrix is returned and provided two alternatives for that
P.r is a 3x1 matrix and you treated it as if it were a 3*matrix. I deleted the second vector and left index j - k would be possible, too, here.

Units are no problem here, but you cannot add a lenght and an unitless value. Have corrected page 33, too.

Werner_E · Answer

Please post a worksheet with your attempts so far. That way we can see which version you are using, don't have to type all in and maybe see better what you are going to attempt.

You can attach files by chosing extended Editor at the upper right.

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