Units problem with exponential

Units problem with exponential - Messages

#1 Posted: 10/17/2023 5:29:01 PM
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 Posted: 10/17/2023 6:13:36 PM
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 Posted: 10/17/2023 7:22:32 PM
juhiimi

juhiimi

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Group: 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 Posted: 10/17/2023 9:04:40 PM
Davide Carpi

Davide Carpi

1417 likes in 2873 posts.

Group: Moderator

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