Shift point calculator
I plugged in my numbers, and was surprised to see that my shift points are higher than I expected, and was told they should be.
Could you guys plug in some of your numbers and see what you think, and how it works?
Please keep in mind this is a quick and dirty, and if it works, I will polish it up and give to anyone who wants it.
Last edited by Greg Fell; May 17, 2005 at 11:19 PM.
you're integrating intervals for it, so you got (6000-2400)=3600rpm range, that's 35 intervals of 100rpm. so you integrate it, and let's say you average 300hp (totally arbitrary example). since all intervals are equal, you can assume that work is directly proportional to power. so for the sake of this calculations (since units are all over the place anyway, we just want some numbers for comparison's sake) we're just gonna sum up the HP ratings for each interval.
so you have 35 intervals of 300hp/interval, that's a total 'work' of 10500.
let's say you shift at 6000rpm and you 'land' at (1/1.43*6000)=4200rpm. then you run it up to 6000rpm again, so that's 1800rpm (17 intervals, at 300hp/interval) that's 5100 work units.
so total work, going from 2400rpm->6000rpm in 3rd, shifting to 4th and then going up to 6000rpm gets us 10500+5100=15600 work units.
now let's do the same, but now we wanna shift at 6500rpm.
3rd gear work:
6500-2400=4100rpm (40 intervals)
40 intervals * 300hp/interval=12000 work units
shift to 4th:
6500rpm*(1/1.43)=4500 (rounded down)
4th gear work:
6500-4500=2000rpm (19 intervals)
19 intervals* 300hp/interval=5700 work units
4th+3rd gear work: 5700+12000=17700 work units.
oh, we got us a healthy increase!
not so quick...
let's count up the intervals:
6000shiftpoint: 35+17=52
6500shiftpoint: 40+19=59
ooops... so how can we compare these things when we got different amount of intervals? 2 ways: go by arbitrary bounds (speed for road racers, distance for drag would work best) or calculate averages PER INTERVAL.
the first one is a much more complicated thing, so we'll skip it for now (i'm about to leave for breakfast), and we'll go with the interval averages:
6000shiftpoint: 15600/52=300
6500shiftpoint: 17700/59=300
see! you didn't do any more work, you didn't optimize crap, because you compared work done over two different numbers of intervals!
thus, we need to go by the hard options, and find us some more arbitrary bounds...
to be continued, now i'm off for some omlettes...
You'll find that by doing that the drop off in RPM will be at the ideal point for where your car is making max torque.
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probably later today i'll post my version of this spreadsheet, so you guys can play with the numbers and see how non-obvious answers it will sometimes give you.
the hardest part about this particular problem is the interpretation of results. since we're working with fake figures, and over a range of speeds, it's difficult to compare the results. that's why i decided to go by the averages...but you'll see for yourself later



