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Best answer by Werner_E

So have you found the correct equation to solve?

If its the second attempt of the above two suggestions you have to consider that there is a second solution at about 1123 mm.

4 replies

24-Ruby III
May 5, 2025

Hi,

please publish the document you are using to create the Prime worksheet,

19-Tanzanite
May 6, 2025

Incompatible units.  d is a length (m), the other term under the square root sign is a force (N).

 

15-Moonstone
May 6, 2025

Hello.

 

Your units are incompatible in the square root expression. 

I created second solve block based on your very first expression of M. This evaluates d_n.

 

 

25-Diamond I
May 6, 2025

Your worksheet is in Prime 11 format.

The worksheet of @AM_10506871  was in Prime 10 format, so chances are that he won't be able to open your sheet.

I, too, still stick to Prime 10 and so can't open your sheet, but I guess that what you suggested is similar to my second solve block.

15-Moonstone
May 6, 2025

Yes, your second solve block is similar to mine.

 

I started to use Mathcad Prime 11 due to the "vec" function that vectorizes range variables. This command makes wonders 🙂

 

 

25-Diamond I
May 6, 2025

Additional error: You let the solve block look for variable dn, but your equation is not using dn at all. I only see a variable d.

Its also noticeable that the equation you show for reference (it has no effect for the calculations) at the top contains variable dn as well as also variable d. Is this on purpose?

Or is

Werner_E_0-1746538350155.png

 just one length-variable (there is no multiplication dot in between) which later is just called gamma? Given the units I guess, no.

 

It also looks a bit strange that you get rid of the unit (MPa) only for f' but you leave the units unchanged for all other variables.

 

No idea if it makes sense but here are two solve blocks with modified equations which work.
The first one is a crude guess

Werner_E_0-1746539201736.png

The second one base on the reference equation at the top of your sheet:

Werner_E_1-1746539242012.png

Prime 10 worksheet attached

 

7-Bedrock
May 6, 2025

Thank you

Werner_E25-Diamond IAnswer
25-Diamond I
May 6, 2025

So have you found the correct equation to solve?

If its the second attempt of the above two suggestions you have to consider that there is a second solution at about 1123 mm.