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Graph how this derive ?

ldante
11-Garnet

Graph how this derive ?

Hi,

 

I need a help how to derive the graph . I attached all the reference and Mathcad  for your reference.

 

 

1 ACCEPTED SOLUTION

Accepted Solutions
LucMeekes
23-Emerald III
(To:ldante)

You're welcome, and a happy new year for you too.

Here's a version with grid, that also works in Prime Express:

LM_20190113_Buckling.png

Success!
Luc

View solution in original post

17 REPLIES 17
LucMeekes
23-Emerald III
(To:ldante)

Why don't you first solve the problems in your sheet?

Aeff is undefined...Define it! Ncr is also undefined... Define it.

Lambda1 is defined with an illegal range. The second value of the range definition must be different from the first. Try setting it from 0 to 0.1

That's for the obvious errors, those flagged by Prime already.

Then there's the problem with phi. You have a function phi (of alpha, lambda0 and lambda1) and you have a variable phi, inside the definition of function chi (again of alpha, lambda0 and lambda1). Those two phi's are not the same. If you want to use the phi defined as function within chi, you HAVE to provide its parameters.

And finally you will have to check your units. Since f0 has a unit (MPa), lambda1 will probably have a unit, depending on the units of Aeff and Ncr. You must make sure that lambda0 has the same unit as lambda1. And from the definition of the function phi, alpha needs that same unit, as does 1.... lambda1 should better be unitless, so Aeff and Ncr need to cancel the unit of f0 out, that is: Ncr/Aeff must have a pressure unit.

 

But essentially, all you need is this:

LM_20190113_Buckling.png

 

Note that I used the min() function to limit chi to 1.

Success!
Luc

Happy new year ..

 

Thank you . for your the support you provided.

 

LucMeekes
23-Emerald III
(To:ldante)

You're welcome, and a happy new year for you too.

Here's a version with grid, that also works in Prime Express:

LM_20190113_Buckling.png

Success!
Luc

Luc,

 

What does the function Grid look like in Prime?

Guess you could not open Luc's file?

As far as I am aware you are using Prime Express 4, so why don't you upgrade to version 5?

Here is a picture of the routine Luc had provided:

B1.png

I posted routines for linear and logarithmic grids here

https://community.ptc.com/t5/PTC-Mathcad/In-MCD-Prime-4-0-is-there-any-way-to-add-gridlines-to-plots/m-p/86492/highlight/true#M34243

but Luc's recursive approach using the if-function has the advantage that it works in the limited Expression version, too.

Here are the routines copied to a Prime 4 worksheet

LucMeekes
23-Emerald III
(To:Werner_E)

It was a Prime 4 worksheet. I seldomly post a Prime 5 worksheet.

The Grid routine was in a collapsed area.

 


@LucMeekes wrote:

It was a Prime 4 worksheet. I seldomly post a Prime 5 worksheet.

 


So my copy and paste action wasn't necessary at all.

On first sight we unfortunately can't distinguish between files from different Prime versions.

ldante
11-Garnet
(To:Werner_E)

How about this grid function ?  how this will work ? 

 

Werner_E
24-Ruby V
(To:ldante)

Unfortunately you can't just copy and paste pictures in this forum. You have to use the "Photos" button to embed pics in the message body.

ldante
11-Garnet
(To:Werner_E)

I attached the screenshot. I considered x direction 10 and  y direction 1. vice versa .  why does not show any grid line ?

LucMeekes
23-Emerald III
(To:ldante)

There was a bug. Sorry Smiley Embarassed

It's solved now.

 

Prime 4 sheet attached.

 

Luc

 Thank you very much .  This helps a lot ...Smiley Happy

ttokoro
20-Turquoise
(To:ldante)

Thanks Luc and Werner_E for your very good Mathcad sheets. 

Now I can use your Mathcad functions.

Tokoro.

 

 

Thanks_for_Werner_E-3.png

LucMeekes
23-Emerald III
(To:Fred_Kohlhepp)

Fred,

 

Here's a Prime 4 file with a Grid function that will do linear and log scale grids.

(The function definition is in the collapsed area.)

 

Enjoy!

Luc

Nice..   The log scale grid  will give a good presentation in my graph..

Thanks Werner and Luc!

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