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Offline Tim63  
#1 Posted : 01 December 2022 09:02:57(UTC)
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Hi, this is junior school math but what is the best way to obtain any value from a set of data like below? Can this be done on SMath?

[img=]Tank Data [/img]

The aim is to obtain alpha and beta values from any intermediary values of H/L or H/l.

Thanks,

Edited by user 01 December 2022 09:08:17(UTC)  | Reason: Not specified

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Offline overlord  
#2 Posted : 01 December 2022 13:12:38(UTC)
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You can use interpolation functions for that.
There are three different interpolation functions.
Your data seems to be lineear according to values.
Here is a demonstration of interpolation plots.
I also added functions to find β and α.

Regards

interpolation.sm (139kb) downloaded 18 time(s).

interpolation.png
Offline Jean Giraud  
#3 Posted : 01 December 2022 17:29:06(UTC)
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Offline Jean Giraud  
#4 Posted : 02 December 2022 04:01:39(UTC)
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Possibly, there is a model ▼ function for these two
A tank that has length 'L' has diameter as well.
You can only measure level from [0...1] empty/full.
That's what alpha/beta seem to represent.
If so, the system is the segment approximation.
This problem is solved in Smath 5 decimals [Tema, Perry]
The Smath document ignores the ends. You can roughly add.
Please, acknowledge for eventual completion of the project.
Cheers ... Jean.
Offline Tim63  
#5 Posted : 05 January 2023 10:42:01(UTC)
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Originally Posted by: overlord Go to Quoted Post
You can use interpolation functions for that.
There are three different interpolation functions.
Your data seems to be linear according to values.
Here is a demonstration of interpolation plots.
I also added functions to find β and α.

Regards

interpolation.sm (139kb) downloaded 18 time(s).

interpolation.png


Thank you, Overlord. Much appreciated.

Tim

Edited by user 05 January 2023 10:43:40(UTC)  | Reason: Not specified

Offline Tim63  
#6 Posted : 05 January 2023 10:44:58(UTC)
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Originally Posted by: Jean Giraud Go to Quoted Post
Possibly, there is a model ▼ function for these two
A tank that has length 'L' has diameter as well.
You can only measure level from [0...1] empty/full.
That's what alpha/beta seem to represent.
If so, the system is the segment approximation.
This problem is solved in Smath 5 decimals [Tema, Perry]
The Smath document ignores the ends. You can roughly add.
Please, acknowledge for eventual completion of the project.
Cheers ... Jean.


Thank you, Jean. "L" does not represent diameter. This table is for a rectangular tank design.

Tim
Offline Jean Giraud  
#7 Posted : 05 January 2023 14:58:00(UTC)
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Originally Posted by: Tim63 Go to Quoted Post
Thank you, Jean. "L" does not represent diameter. This table is for a rectangular tank design.
Tim

Obviously the data confirm the tank is not circular.
It may not be pure rectangular either vs deformation.
For + contribution, please don't hesitate.
Jean

Offline overlord  
#8 Posted : 05 January 2023 17:21:53(UTC)
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Originally Posted by: Jean Giraud Go to Quoted Post
It may not be pure rectangular either vs deformation.

There is a golden phrase for engineers:

When something is minor effecting overall outcome,
That condition/subject/aspect is negligible.
Offline Jean Giraud  
#9 Posted : 05 January 2023 18:13:50(UTC)
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Originally Posted by: Jean Giraud Go to Quoted Post
Obviously the data confirm the tank is not circular.
It may not be pure rectangular either vs deformation.
For contribution, please don't hesitate.
Jean

Page2 Table.sm (130kb) downloaded 9 time(s).

Offline Jean Giraud  
#10 Posted : 06 January 2023 03:03:48(UTC)
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Page3 Table.sm (55kb) downloaded 5 time(s).
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