Page 3 – Some Maths |
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Mimesis 30×40 – PUlley
When I created this I simply “eyeballed” the thing. What I ended up with after the scaling was a pulley with the following dimensions (I design for O scale/1:48 so I will start with the dimensions in mm and show them in inches and then full scale.)
I have no real idea of where I am going with this .. so I will just go and see where it ends up … the following is taken from the book – A Treatise on Belts and Pulleys by John Howard Cromwell pub. 1888 Page 19 – “Power – By the power of a pulley we mean the force with which the circumference of the pulley turns: it is equal to that force which, if applied to the pulley-circumference in a direction opposite to that in which the pulley rotates, would be just sufficient to stop the motion of the pulley.” – to me this the braking force required to stop the pulley.
From the chart on page one for the Mimesis 30×40 we find it requires 45 HP to run (minimum) at 100 RPM. That then gives us – Sticking these numbers back into our formula we get ![]() Soooo .. I can see that with riveted joints I would still need a 20″ belt for that P of 1745 .. twice what the pulley currently is. I can now start to play a bit with the design. Fun stuff. Note: Where it says |
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![]() I created a spreadsheet in Excel. Yeah – I know I could have reduced the columns 2/3 to one but spreading the formulas out makes it easier to catch mistakes. JMO. This is using the afore mentioned 100 RPM and 45 HP.
This was set up so that the breaker runs at 45 HP at 100 RPM per the earlier chart. P decreases as the dia of the pulley increases. A 6 ft dia / 72 inch pulley running at the stated HP and RPM has a P of 787.82 and would require a 9 in belt. A 4 ft dia / 48 inch pulley would need to have a P of 1181.73 which would require a 14 inch belt (riveted joint). For any pulley much larger than the 32.5 inch version in my drawing would require that either the breaker be held off of the mounting surface or a slot for the larger pulley part of the design. In any case .. fun times! On a side note. In order to keep the original pulley diameter with a 1719 P (rounded) it would require a 20 inch belt. A combination of a larger dia pulley and wider belt are all possible using the data to Engineer the pulley .. not just eyeball what looks correct.
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