Train-Sim.Com
MSTS Route Design

Gradient Chart

Notice to all visitors and members of the Train-Sim.Com message forums:
If you plan on using a signature banner in your posts, we would like to remind you that there is a maximum size for banners. That maximum is 450 pixels wide by 120 pixels high, and not to exceed 25k. Your compliance is appreciated. FORUM RULES Problems? There are two common reasons for problems with logging in and posting messages. The first is that you are running a firewall that prevents your messages from being sent to the server. The other is that you have cookies disabled; the DCForum software requires cookies to work properly.

Previous Topic | Next Topic

Printer-friendly copy Email this topic to a friend

Reading Topic #11289

Charter Member · 1482 posts

Colleagues,Stuart Thurstan (Weevil) published in the library, a very helpful chart of gradients to use when track laying. For the newbies, the numbers you see in the little elevation window are not percentage of grade, rather they are ANGLE OF GRADE. Since I am about to start a new project, I decided to increase the content of the original document, and include some common values of US grades, as well as the grades that will be found in the "Hook_Eye", which won't have a hook - it is long gone, but will have the "EYE". It is essentailly a 50 mile long switching lead to a Chemical complex, now closed, located in CopperHill, TN.Here then is the gradient chart. You can copy & past this into your favorite editor for keeps, and we will save some on library space.J. H. SullivanGrade Gradient MSTS Angle
____________________________________________________
.025% 1 in 4000 0.014
.050% 1 in 2000 0.028
.075% 1 in 1333 0.045
.090% 1 in 1160 0.050
.100% 1 in 1000 0.058
.125% 1 in 800 0.072
.150% 1 in 667 0.085
.175% 1 in 571 0.100
.180% 1 in 570 0.102
.200% 1 in 500 0.116
.220% 1 in 455 0.125
.240% 1 in 417 0.135
.250% 1 in 400 0.147
.260% 1 in 380 0.150
.280% 1 in 357 0.162
.300% 1 in 333 0.173
.325% 1 in 308 0.187
.350% 1 in 287 0.200
.375% 1 in 267 0.215
.400% 1 in 250 0.231
.425% 1 in 235 0.243
.450% 1 in 222 0.258
.475% 1 in 210 0.272
.500% 1 in 200 0.285
.520% 1 in 190 0.297
.525% 1 in 190 0.300
.550% 1 in 182 0.315
.575% 1 in 174 0.329
.600% 1 in 167 0.343
.625% 1 in 160 0.358
.650% 1 in 154 0.373
.675% 1 in 148 0.387
.700% 1 in 143 0.401
.725% 1 in 138 0.417
.750% 1 in 133 0.431
.775% 1 in 129 0.441
.790% 1 in 127 0.450
.800% 1 in 125 0.458
.825% 1 in 121 0.472
.850% 1 in 118 0.485
.875% 1 in 114 0.501
.900% 1 in 111 0.515
.925% 1 in 108 0.529
.950% 1 in 105 0.545
.975% 1 in 103 0.562
1.00% 1 in 100 0.575
1.05% 1 in 96 0.600
1.10% 1 in 91 0.633
1.15% 1 in 87 0.658
1.20% 1 in 83 0.698
1.25% 1 in 80 0.717
1.31% 1 in 76 0.750
1.45% 1 in 69 0.833
1.50% 1 in 67 0.860
1.57% 1 in 64 0.900
1.70% 1 in 59 0.975
1.85% 1 in 54 1.050
2.00% 1 in 50 1.150
2.09% 1 in 48 1.200
2.25% 1 in 44 1.290
2.50% 1 in 40 1.433
2.62% 1 in 38 1.500
2.75% 1 in 36 1.575
3.00% 1 in 33 1.733
3.14% 1 in 32 1.800
3.20% 1 in 31 1.833
3.40% 1 in 29 1.950
3.50% 1 in 28 2.030
3.66% 1 in 27 2.100
3.80% 1 in 26 2.183
4.00% 1 in 25 2.300
4.19% 1 in 24 2.400
4.35% 1 in 23 2.491
4.50% 1 in 22 2.583
4.71% 1 in 21 2.700
5.00% 1 in 20 2.870
5.23% 1 in 19 3.000

Alert | IP

Printer-friendly page | Edit | Reply | Reply With Quote | Top

Charter Member · 1482 posts

RE: Gradient Chart

Well, the formatting didn't work so well, but I think it is easy to
understand. The format is thus:%Grade<space>Gradient<space>MSTS AngleJHS

Alert | IP

Printer-friendly page | Edit | Reply | Reply With Quote | Top

Charter Member · 436 posts

RE: Gradient Chart

.025%------0.014
.050%------0.028
.075%------0.045
.090%------0.050
.100%------0.058
.125%------0.072
.150%------0.085
.175%------0.100
.180%------0.102
.200%------0.116
.220%------0.125
.240%------0.135
.250%------0.147
.260%------0.150
.280%------0.162
.300%------0.173
.325%------0.187
.350%------0.200
.375%------0.215
.400%------0.231
.425%------0.243
.450%------0.258
.475%------0.272
.500%------0.285
.520%------0.297
.525%------0.300
.550%------0.315
.575%------0.329
.600%------0.343
.625%------0.358
.650%------0.373
.675%------0.387
.700%------0.401
.725%------0.417
.750%------0.431
.775%------0.441
.790%------0.450
.800%------0.458
.825%------0.472
.850%------0.485
.875%------0.501
.900%------0.515
.925%------0.529
.950%------0.545
.975%------0.562
1.00%------0.575
1.05%------0.600
1.10%------0.633
1.15%------0.658
1.20%------0.698
1.25%------0.717
1.31%------0.750
1.45%------0.833
1.50%------0.860
1.57%------0.900
1.70%------0.975
1.85%------1.050
2.00%------1.150
2.09%------1.200
2.25%------1.290
2.50%------1.433
2.62%------1.500
2.75%------1.575
3.00%------1.733
3.14%------1.800
3.20%------1.833
3.40%------1.950
3.50%------2.030
3.66%------2.100
3.80%------2.183
4.00%------2.300
4.19%------2.400
4.35%------2.491
4.50%------2.583
4.71%------2.700
5.00%------2.870
5.23%------3.000

--------------------------
Sell crazy someplace else, we're all stocked up here

Alert | IP

Printer-friendly page | Edit | Reply | Reply With Quote | Top

Charter Member · 487 posts

RE: Gradient Chart

There is a file in the Utilities section of the file library, I think its name is tscalc.zip, by Bob Wirth, that has calculators that run in a DOS window while you're working in the RE. They translate vertical gradients as well as curvature. Very handy.I recently extracted a swatch of earth to represent the NEC's approach to New York City. DEMEX'd the terrain, 'dug' the tunnel (or 2 tunnels) into Bergen Hill using track chart info and these calculators, and when I got to the indicated deepest part of the tunnel under the Hudson River, I was within 4 feet of the known subelevation of the tunnel floor under the river. About 80 feet under mean low water. The gradients range from 0.4% to 1.9% in the tunnel which is about 2.5 miles long. Trains have to maintain 60MPH in the tunnels.Regards,
Hank

Alert | IP

Printer-friendly page | Edit | Reply | Reply With Quote | Top

Charter Member · 236 posts

RE: Gradient Chart

If anybody wants to know the formula here it is:G is grade in percent
A is angle of grade in degreesA = ARCSIN(G/100)G = 100*SIN(A)Some might argue that the ARCSIN and SIN be replaced with ARCTAN and TAN, but the difference is very minor (a couple thousandths of a degree).The excellent MSTS utility called "Poker" does this conversion and several others as well.Mark

Moffat Road Tabernash to Phippsburg
All track complete
Currently working on Mtracks

Alert | IP


[ Home | MSTS Forum | MSTS FAQ | How To... | File Library ] Copyright © 2004 by Nels Anderson. All Rights Reserved.

Restored from the Train-Sim.Com archive, captured September 28, 2004. About this archive.