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Thread: Gradient Chart

  1. #1
    Join Date
    Nov 1999
    Location
    Jacksonville,, FL, USA.
    Posts
    3,629

    Default Gradient Chart

    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. Sullivan

    Grade 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

  2. #2
    Join Date
    Nov 1999
    Location
    Jacksonville,, FL, USA.
    Posts
    3,629

    Default 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 Angle

    JHS

  3. #3
    Join Date
    Nov 1999
    Location
    MN.
    Posts
    1,755

    Default 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



  4. #4
    Join Date
    Nov 1999
    Location
    Cumming Ga
    Posts
    2,496

    Default RE: Gradient Chart


    hehe, I just realized we are working on the same route...

    I've been working on the Georgia Northeastern RR (Elizabeth, Ga to Copper Hill) route. I never caught that you mentioned Hook and Eye till now.


    Pete Willard
    [hr][Link Expired]
    http://www.trainsimstuff.com
    [hr]
    http://www.railsimstuff.com
    3D Canvas/Crafter and Blender User
    formerly The Keystone Works
    In IRC at freenode #msts

  5. #5
    Join Date
    Nov 1999
    Location
    Newark, Delaware
    Posts
    1,293

    Default 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



  6. #6
    Join Date
    Nov 1999
    Location
    Albuquerque, NM
    Posts
    434

    Default RE: Gradient Chart

    If anybody wants to know the formula here it is:

    G is grade in percent
    A is angle of grade in degrees

    A = 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

  7. #7
    Join Date
    Nov 1999
    Location
    Kent, Washington
    Posts
    2,479

    Default RE: Gradient Chart

    Doing a search for a chart, this came in very handy for some stuff. I stuck it on the top of easy access for those that need it.
    Brian Bundridge
    TrainSim.com Moderator

  8. #8
    Join Date
    Nov 1999
    Location
    Maryland, USA
    Posts
    2,125

    Default RE: Gradient Chart

    I've been intending to place this old archive zip file somewhere so that I wouldn't have to go root around for it everytime someone asks. In it there are handy calculators for both grades and curves.

    https://www.trainsim.com/vbts/attach...1&d=1204207443

    regards,
    charlie
    Last edited by charlie; 12-28-2009 at 11:34 AM. Reason: Re-attach broken link

  9. #9
    Join Date
    Sep 2004
    Location
    The Netherlands
    Posts
    355

    Default RE: Gradient Chart

    I'm using MSTS Poker. It's really handy.

    It calculates grades and enables you to apply them directly in the RE; no manual sloping required.

    Furthermore, it can also calculate curves, meter to feet and v.v., route distance.
    On top of that, it allows you to load the Marker file and add, edit or delete individual markers. Also lets you jump directly to a specific marker. Very handy tool.
    - Coal Country: The Orin Line
    - Alameda Corridor: Track: 100%
    Building even more warehouses...

  10. #10
    Join Date
    Nov 1999
    Location
    Quincy, IL, USA.
    Posts
    39

    Default RE: Gradient Chart

    Where do you find MSTS Poker? It doesn't appear to be in the library, so I assume it's a for pay product?

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