Units problem with exponential

Units problem with exponential - Messaggi

#1 Pubblicato: 17/10/2023 17:29:01
juhiimi

juhiimi

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175.JPG

Hello!

Please see the attachment. Why is this happening? I need my results in Newton or KNewton.
Can you help me identify the problem here?

Thank you!
#2 Pubblicato: 17/10/2023 18:13:36
Davide Carpi

Davide Carpi

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This happens because you are facing an experimental formula with implicit units.

Here, as per definition, f.ck must be entered in [MPa], B and H in [mm], and then the result is returned in [N]; if you do a dimensional analysis, this could work only because the "magic numbers" 100 and/or 0.12 have implicit units.

To make it work in SMath, you have to divide f.ck by the expected input unit and multiply the formula for the expected output unit.


2023-10-17 13_21_14-SMath Solver - [Worksheet1_].png
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#3 Pubblicato: 17/10/2023 19:22:32
juhiimi

juhiimi

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Gruppo: User

Wrote

This happens because you are facing an experimental formula with implicit units.

Here, as per definition, f.ck must be entered in [MPa], B and H in [mm], and then the result is returned in [N]; if you do a dimensional analysis, this could work only because the "magic numbers" 100 and/or 0.12 have implicit units.

To make it work in SMath, you have to divide f.ck by the expected input unit and multiply the formula for the expected output unit.


2023-10-17 13_21_14-SMath Solver - [Worksheet1_].png



Thank you very much!

P.S. If I multiply it by N/mm2 I get the N result because of the B and H being in mm.
#4 Pubblicato: 17/10/2023 21:04:40
Davide Carpi

Davide Carpi

1.443 apprezzamenti in 2.936 post.

Gruppo: Moderator

Yes, sorry, obviously B and H are inputs with units too
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