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0.0% - 21,500 tons
0.5% - 6,150 tons
1.0% - 3,600 tons
1.5% - 2,540 tons
2.0% - 1,950 tons
2.5% - 1,600 tons
3.0% - 1,350 tons
3.5% - 1,150 tons
4.0% - 1,020 tons
4.5% - 915 tons
May I have a couple of suggestions for your spreadsheet? (why do I even bother asking for permission, I'm gonna do it anyway)
First is the "useful" pull force at different grades. Real as in "Pulling force minus weight of the fully bunkered loco+tender".
(ie. For G16 at 0 grade =M2-K2*0.45359/1000)
Second is the "weight to real force ratio", so how much of a percentage of total tractive effort is actually used to pull the cars as opposed to the whole train.
(So, again for G16 at 0 grade =W2/(M2/100) )
I found the latter number to be fascinating, like A26 at grade 2 is the worst of the bunch at just under 72% K28T sits firmly at 85.5%.
Just a thought.
2. all I can say about the T-21 is...𝘊𝘢𝘴𝘦𝘺 𝘑𝘰𝘯𝘦𝘴
I'm asking because in RRO the formula would be =(2000*$C2)/(5+(M$1*20))*0.000446429
Ratings are for total train weight including engine and tender, and are for drag freight speeds. Fast freight/passenger ratings can be attained by taking 5-10% off of the drag freight ratings.
0.0% - 19,000 tons
0.5% - 5,400 tons
1.0% - 3,150 tons
1.5% - 2,200 tons
2.0% - 1,700 tons
2.5% - 1,400 tons
3.0% - 1,200 tons
3.5% - 1,000 tons
4.0% - 900 tons
4.5% - 850 tons
Each 1% of ascending gradient = 20 lb resistance per ton weight. Level track resistance 4lb/ton.
So 2% grade will give resistance of 44lb/ton. 2.5% = 54lb/ton.
Given that you now know the lb/ton, you can calculate how much a locomotive can start on a grade by simply dividing tractive effort by the resistance of the train and multiplying it by 0.9 (since without doing that, you're simply getting the stall tonnage). So, taking the Berkshire as an example, it will theoretically lift ~1,330 tons (including weight of the engine and tender) up a 2% grade based on the following calculation: (65,400 / 44) x 0.9.
Remember that this calculation only concerns track gradient, and not track curvature, which has its own calculation to consider.
Hope this helps.
also, could you please add 4.5 to all the grade charts? Your charts only go up to 4, but the red marble grade coming up from nantahala actually hits 4.5 in some areas.