@ hercek:
I'm aware that there are more involved equations to calculate elongation,
but there is no chance that I'm going to introduce you to higher math, no way!
I did find another formula that is simple to follow, and adds another variable.
You are for some unknown reason having difficulty with unit cancellation.
So I don't hold much hope that you will agree or understand this one either.
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BELT Technologies, Inc. equation for Belt Stretch of Steel
[www.belttechnologies.com]
L = (P*L)/(A*E)
Where:
L = Stretch in inches = 0.000006 inch.
P = Tension load in pounds = 6.423 pound.
L = Initial belt length in inches = 39.37 inch.
A = Belt cross - section area in inches = 0.28 millimeter² = 0.000434 inch².
E = Young’s Modulus = 18000 psi.
Since we don't know the cross sectional area of the GT2 belts glass fibers, I'll use your value of 0.28 millimeter².
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The only way you can get the units to work out using the new input of cross-sectional area is to proportionalize
the area of the glass fiber bundles over 1 square inch before multiplying by the modulus of the belt, i.e. (1* inch * inch /(0.000434 * inch * inch)).
If you don't do that you get meter3, which is a bogus conclusion.
Belt elongation = 0.000006 inch, which is less than my calculation of 0.000009 inch.
The difference is only 0.000003 inch, which is for all practical purposes is still zero belt elongation.
0.000009 inch - 0.000006 inch = 0.000003 inch.
You are confusing wxMaxima place holder (*) as multiplication.
If you were given a value of 10 psi, would you try to reduce it?
That's what the modulus is psi, you don't reduce it.
I get the same result every time, I've yet to see you calculate belt stretch, and you are struggling with unit cancellation,
and you continue to make strange transitive deductions that make no sense.
hercek, you continue to claim that the Gates equation is wrong, then why don't you show us the correct equation?
Empirical results are in this case the best that you, or I could expect for.
Go buy a GT2 belt, and make a video of your experiment for all to enjoy.
I eagerly await your correction to the Gates equation.
I'm aware that there are more involved equations to calculate elongation,
but there is no chance that I'm going to introduce you to higher math, no way!
I did find another formula that is simple to follow, and adds another variable.
You are for some unknown reason having difficulty with unit cancellation.
So I don't hold much hope that you will agree or understand this one either.
BELT Technologies, Inc. equation for Belt Stretch of Steel
[www.belttechnologies.com]
L = (P*L)/(A*E)
Where:
L = Stretch in inches = 0.000006 inch.
P = Tension load in pounds = 6.423 pound.
L = Initial belt length in inches = 39.37 inch.
A = Belt cross - section area in inches = 0.28 millimeter² = 0.000434 inch².
E = Young’s Modulus = 18000 psi.
Quote
hercek
steel crosssection area is about 0.28 mm²
Since we don't know the cross sectional area of the GT2 belts glass fibers, I'll use your value of 0.28 millimeter².
The only way you can get the units to work out using the new input of cross-sectional area is to proportionalize
the area of the glass fiber bundles over 1 square inch before multiplying by the modulus of the belt, i.e. (1* inch * inch /(0.000434 * inch * inch)).
If you don't do that you get meter3, which is a bogus conclusion.
Belt elongation = 0.000006 inch, which is less than my calculation of 0.000009 inch.
The difference is only 0.000003 inch, which is for all practical purposes is still zero belt elongation.
0.000009 inch - 0.000006 inch = 0.000003 inch.
Quote
hercek
Since the equivalence relation is transitive we can deduce (I assume N stands for Newton):
124105648 * Newton * meter² = 124105648 * Newton/meter²
Now we can devide by 124105648*Newton:
meter² = 1/meter²
Now we can multiply by meter²:
meter⁴ = 1
Which is a contradiction.
I proofed by contradiction that what you have writen for expression B is not correct.
You are confusing wxMaxima place holder (*) as multiplication.
If you were given a value of 10 psi, would you try to reduce it?
That's what the modulus is psi, you don't reduce it.
I get the same result every time, I've yet to see you calculate belt stretch, and you are struggling with unit cancellation,
and you continue to make strange transitive deductions that make no sense.
hercek, you continue to claim that the Gates equation is wrong, then why don't you show us the correct equation?
Empirical results are in this case the best that you, or I could expect for.
Go buy a GT2 belt, and make a video of your experiment for all to enjoy.
I eagerly await your correction to the Gates equation.