# -*- coding: utf-8 -*- '''Chemical Engineering Design Library (ChEDL). Utilities for process modeling. Copyright (C) 2016, Caleb Bell Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions: The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software. THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.''' from __future__ import division from math import pi from fluids.constants import inch __all__ = ['nearest_pipe', 'gauge_from_t', 't_from_gauge', 'wire_schedules'] # Schedules 5, 10, 20, 30, 40, 60, 80, 100, 120, 140, 160 from # ASME B36.10M - Welded and Seamless Wrought Steel Pipe # All schedule lists stored in mm, other than NPS. # i = inner diameter, o = outer diameter, and t = wall thickness in variable names NPS5 = [0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 30] S5i = [18, 23.4, 30.1, 38.9, 45, 57, 68.78, 84.68, 97.38, 110.08, 135.76, 162.76, 213.56, 266.2, 315.88, 347.68, 398.02, 448.62, 498.44, 549.44, 598.92, 749.3] S5o = [21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 762] S5t = [1.65, 1.65, 1.65, 1.65, 1.65, 1.65, 2.11, 2.11, 2.11, 2.11, 2.77, 2.77, 2.77, 3.4, 3.96, 3.96, 4.19, 4.19, 4.78, 4.78, 5.54, 6.35] NPS10 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36] S10i = [7.82, 10.4, 13.8, 17.08, 22.48, 27.86, 36.66, 42.76, 54.76, 66.9, 82.8, 95.5, 108.2, 134.5, 161.5, 211.58, 264.62, 314.66, 342.9, 393.7, 444.3, 495.3, 546.3, 597.3, 644.16, 695.16, 746.16, 797.16, 848.16, 898.16] S10o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 660, 711, 762, 813, 864, 914] S10t = [1.24, 1.65, 1.65, 2.11, 2.11, 2.77, 2.77, 2.77, 2.77, 3.05, 3.05, 3.05, 3.05, 3.4, 3.4, 3.76, 4.19, 4.57, 6.35, 6.35, 6.35, 6.35, 6.35, 6.35, 7.92, 7.92, 7.92, 7.92, 7.92, 7.92] NPS20 = [8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36] S20i = [206.4, 260.3, 311.1, 339.76, 390.56, 441.16, 488.94, 539.94, 590.94, 634.6, 685.6, 736.6, 787.6, 838.6, 888.6] S20o = [219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 660, 711, 762, 813, 864, 914] S20t = [6.35, 6.35, 6.35, 7.92, 7.92, 7.92, 9.53, 9.53, 9.53, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7] NPS30 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 8, 10, 12, 14, 16, 18, 20, 22, 24, 28, 30, 32, 34, 36] S30i = [7.4, 10, 13.4, 16.48, 21.88, 27.6, 36.26, 41.94, 53.94, 63.44, 79.34, 92.04, 104.74, 205.02, 257.4, 307.04, 336.54, 387.34, 434.74, 482.6, 533.6, 581.46, 679.24, 730.24, 781.24, 832.24, 882.24] S30o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 711, 762, 813, 864, 914] S30t = [1.45, 1.85, 1.85, 2.41, 2.41, 2.9, 2.97, 3.18, 3.18, 4.78, 4.78, 4.78, 4.78, 7.04, 7.8, 8.38, 9.53, 9.53, 11.13, 12.7, 12.7, 14.27, 15.88, 15.88, 15.88, 15.88, 15.88] NPS40 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 24, 32, 34, 36] S40i = [6.84, 9.22, 12.48, 15.76, 20.96, 26.64, 35.08, 40.94, 52.48, 62.68, 77.92, 90.12, 102.26, 128.2, 154.08, 202.74, 254.46, 303.18, 333.34, 381, 428.46, 477.82, 575.04, 778.04, 829.04, 875.9] S40o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 610, 813, 864, 914] S40t = [1.73, 2.24, 2.31, 2.77, 2.87, 3.38, 3.56, 3.68, 3.91, 5.16, 5.49, 5.74, 6.02, 6.55, 7.11, 8.18, 9.27, 10.31, 11.13, 12.7, 14.27, 15.09, 17.48, 17.48, 17.48, 19.05] NPS60 = [8, 10, 12, 14, 16, 18, 20, 22, 24] S60i = [198.48, 247.6, 295.26, 325.42, 373.08, 418.9, 466.76, 514.54, 560.78] S60o = [219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S60t = [10.31, 12.7, 14.27, 15.09, 16.66, 19.05, 20.62, 22.23, 24.61] NPS80 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24] S80i = [5.48, 7.66, 10.7, 13.84, 18.88, 24.3, 32.5, 38.14, 49.22, 58.98, 73.66, 85.44, 97.18, 122.24, 146.36, 193.7, 242.82, 288.84, 317.5, 363.52, 409.34, 455.62, 501.84, 548.08] S80o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S80t = [2.41, 3.02, 3.2, 3.73, 3.91, 4.55, 4.85, 5.08, 5.54, 7.01, 7.62, 8.08, 8.56, 9.53, 10.97, 12.7, 15.09, 17.48, 19.05, 21.44, 23.83, 26.19, 28.58, 30.96] NPS100 = [8, 10, 12, 14, 16, 18, 20, 22, 24] S100i = [188.92, 236.48, 280.92, 307.94, 354.02, 398.28, 442.92, 489.14, 532.22] S100o = [219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S100t = [15.09, 18.26, 21.44, 23.83, 26.19, 29.36, 32.54, 34.93, 38.89] NPS120 = [4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24] S120i = [92.04, 115.9, 139.76, 182.58, 230.12, 273, 300.02, 344.48, 387.14, 431.8, 476.44, 517.96] S120o = [114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S120t = [11.13, 12.7, 14.27, 18.26, 21.44, 25.4, 27.79, 30.96, 34.93, 38.1, 41.28, 46.02] NPS140 = [8, 10, 12, 14, 16, 18, 20, 22, 24] S140i = [177.86, 222.2, 266.64, 292.1, 333.34, 377.66, 419.1, 463.74, 505.26] S140o = [219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S140t = [20.62, 25.4, 28.58, 31.75, 36.53, 39.67, 44.45, 47.63, 52.37] NPS160 = [0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24] S160i = [11.74, 15.58, 20.7, 29.5, 34.02, 42.82, 53.94, 66.64, 87.32, 109.54, 131.78, 173.08, 215.84, 257.16, 284.18, 325.42, 366.52, 407.98, 451.04, 490.92] S160o = [21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610] S160t = [4.78, 5.56, 6.35, 6.35, 7.14, 8.74, 9.53, 11.13, 13.49, 15.88, 18.26, 23.01, 28.58, 33.32, 35.71, 40.49, 45.24, 50.01, 53.98, 59.54] # Schedules designated STD, XS, and XXS NPSSTD = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48] STDi = [6.84, 9.22, 12.48, 15.76, 20.96, 26.64, 35.08, 40.94, 52.48, 62.68, 77.92, 90.12, 102.26, 128.2, 154.08, 202.74, 254.46, 304.74, 336.54, 387.34, 437.94, 488.94, 539.94, 590.94, 640.94, 691.94, 742.94, 793.94, 844.94, 894.94, 945.94, 996.94, 1047.94, 1098.94, 1148.94, 1199.94] STDo = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 660, 711, 762, 813, 864, 914, 965, 1016, 1067, 1118, 1168, 1219] STDt = [1.73, 2.24, 2.31, 2.77, 2.87, 3.38, 3.56, 3.68, 3.91, 5.16, 5.49, 5.74, 6.02, 6.55, 7.11, 8.18, 9.27, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53] NPSXS = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48] XSi = [5.48, 7.66, 10.7, 13.84, 18.88, 24.3, 32.5, 38.14, 49.22, 58.98, 73.66, 85.44, 97.18, 122.24, 146.36, 193.7, 247.6, 298.4, 330.2, 381, 431.6, 482.6, 533.6, 584.6, 634.6, 685.6, 736.6, 787.6, 838.6, 888.6, 939.6, 990.6, 1041.6, 1092.6, 1142.6, 1193.6] XSo = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273, 323.8, 355.6, 406.4, 457, 508, 559, 610, 660, 711, 762, 813, 864, 914, 965, 1016, 1067, 1118, 1168, 1219] XSt = [2.41, 3.02, 3.2, 3.73, 3.91, 4.55, 4.85, 5.08, 5.54, 7.01, 7.62, 8.08, 8.56, 9.53, 10.97, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7] NPSXXS = [0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 4, 5, 6, 8, 10, 12] XXSi = [6.36, 11.06, 15.22, 22.8, 28, 38.16, 44.96, 58.42, 80.06, 103.2, 124.4, 174.64, 222.2, 273] XXSo = [21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 114.3, 141.3, 168.3, 219.1, 273, 323.8] XXSt = [7.47, 7.82, 9.09, 9.7, 10.15, 11.07, 14.02, 15.24, 17.12, 19.05, 21.95, 22.23, 25.4, 25.4] NPSS5 = [0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 30] SS5DN = [15, 20, 25, 32, 40, 50, 65, 80, 90, 100, 125, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 750] SS5i = [18, 23.4, 30.1, 38.9, 45, 57, 68.78, 84.68, 97.38, 110.08, 135.76, 162.76, 213.56, 266.3, 315.98, 347.68, 398.02, 448.62, 498.44, 549.44, 598.92, 749.3] SS5o = [21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273.1, 323.9, 355.6, 406.4, 457, 508, 559, 610, 762] SS5t = [1.65, 1.65, 1.65, 1.65, 1.65, 1.65, 2.11, 2.11, 2.11, 2.11, 2.77, 2.77, 2.77, 3.4, 3.96, 3.96, 4.19, 4.19, 4.78, 4.78, 5.54, 6.35] # Schedules 10, 40 and 80 from ASME B36.19M - Stainless Steel Pipe NPSS10 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 30] SS10DN = [6, 8, 10, 15, 20, 25, 32, 40, 50, 65, 80, 90, 100, 125, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 750] SS10i = [7.82, 10.4, 13.8, 17.08, 22.48, 27.86, 36.66, 42.76, 54.76, 66.9, 82.8, 95.5, 108.2, 134.5, 161.5, 211.58, 264.72, 314.76, 346.04, 396.84, 447.44, 496.92, 547.92, 597.3, 746.16] SS10o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273.1, 323.9, 355.6, 406.4, 457, 508, 559, 610, 762] SS10t = [1.24, 1.65, 1.65, 2.11, 2.11, 2.77, 2.77, 2.77, 2.77, 3.05, 3.05, 3.05, 3.05, 3.4, 3.4, 3.76, 4.19, 4.57, 4.78, 4.78, 4.78, 5.54, 5.54, 6.35, 7.92] NPSS40 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 24] SS40DN = [6, 8, 10, 15, 20, 25, 32, 40, 50, 65, 80, 90, 100, 125, 150, 200, 250, 300, 350, 400, 450, 500, 600] SS40i = [6.84, 9.22, 12.48, 15.76, 20.96, 26.64, 35.08, 40.94, 52.48, 62.68, 77.92, 90.12, 102.26, 128.2, 154.08, 202.74, 254.56, 304.84, 336.54, 387.34, 437.94, 488.94, 590.94] SS40o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273.1, 323.9, 355.6, 406.4, 457, 508, 610] SS40t = [1.73, 2.24, 2.31, 2.77, 2.87, 3.38, 3.56, 3.68, 3.91, 5.16, 5.49, 5.74, 6.02, 6.55, 7.11, 8.18, 9.27, 9.53, 9.53, 9.53, 9.53, 9.53, 9.53] NPSS80 = [0.125, 0.25, 0.375, 0.5, 0.75, 1, 1.25, 1.5, 2, 2.5, 3, 3.5, 4, 5, 6, 8, 10, 12, 14, 16, 18, 20, 24] SS80DN = [6, 8, 10, 15, 20, 25, 32, 40, 50, 65, 80, 90, 100, 125, 150, 200, 250, 300, 350, 400, 450, 500, 600] SS80i = [5.48, 7.66, 10.7, 13.84, 18.88, 24.3, 32.5, 38.14, 49.22, 58.98, 73.66, 85.44, 97.18, 122.24, 146.36, 193.7, 247.7, 298.5, 330.2, 381, 431.6, 482.6, 584.6] SS80o = [10.3, 13.7, 17.1, 21.3, 26.7, 33.4, 42.2, 48.3, 60.3, 73, 88.9, 101.6, 114.3, 141.3, 168.3, 219.1, 273.1, 323.9, 355.6, 406.4, 457, 508, 610] SS80t = [2.41, 3.02, 3.2, 3.73, 3.91, 4.55, 4.85, 5.08, 5.54, 7.01, 7.62, 8.08, 8.56, 9.53, 10.97, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7, 12.7] schedule_lookup = { '40': (NPS40, S40i, S40o, S40t), '5': (NPS5, S5i, S5o, S5t), '10': (NPS10, S10i, S10o, S10t), '20': (NPS20, S20i, S20o, S20t), '30': (NPS30, S30i, S30o, S30t), '60': (NPS60, S60i, S60o, S60t), '80': (NPS80, S80i, S80o, S80t), '100': (NPS100, S100i, S100o, S100t), '120': (NPS120, S120i, S120o, S120t), '140': (NPS140, S140i, S140o, S140t), '160': (NPS160, S160i, S160o, S160t), 'STD': (NPSSTD, STDi, STDo, STDt), 'XS': (NPSXS, XSi, XSo, XSt), 'XXS': (NPSXXS, XXSi, XXSo, XXSt), '5S': (NPSS5, SS5i, SS5o, SS5t), '10S': (NPSS10, SS10i, SS10o, SS10t), '40S': (NPSS40, SS40i, SS40o, SS40t), '80S': (NPSS80, SS80i, SS80o, SS80t)} def nearest_pipe(Do=None, Di=None, NPS=None, schedule='40'): r'''Searches for and finds the nearest standard pipe size to a given specification. Acceptable inputs are: - Nominal pipe size - Nominal pipe size and schedule - Outer diameter `Do` - Outer diameter `Do` and schedule - Inner diameter `Di` - Inner diameter `Di` and schedule Acceptable schedules are: '5', '10', '20', '30', '40', '60', '80', '100', '120', '140', '160', 'STD', 'XS', 'XXS', '5S', '10S', '40S', '80S'. Parameters ---------- Do : float Pipe outer diameter, [m] Di : float Pipe inner diameter, [m] NPS : float Nominal pipe size, [-] schedule : str String representing schedule size Returns ------- NPS : float Nominal pipe size, [-] Di : float Pipe inner diameter, [m] Do : float Pipe outer diameter, [m] t : float Pipe wall thickness, [m] Notes ----- Internal units within this function are mm. The imperial schedules are not quite identical to these value, but all rounding differences happen in the sub-0.1 mm level. Examples -------- >>> nearest_pipe(Di=0.021) (1, 0.02664, 0.0334, 0.0033799999999999998) >>> nearest_pipe(Do=.273, schedule='5S') (10, 0.26630000000000004, 0.2731, 0.0034) References ---------- .. [1] American National Standards Institute, and American Society of Mechanical Engineers. B36.10M-2004: Welded and Seamless Wrought Steel Pipe. New York: American Society of Mechanical Engineers, 2004. .. [2] American National Standards Institute, and American Society of Mechanical Engineers. B36-19M-2004: Stainless Steel Pipe. New York, N.Y.: American Society of Mechanical Engineers, 2004. ''' if Di: Di *= 1E3 if Do: Do *= 1E3 if NPS: NPS = float(NPS) def Di_lookup(Di, NPSes, Dis, Dos, ts): for i in range(len(Dis)): # Go up ascending list; once larger than specified, return if Dis[-1] < Di: return None if Dis[i] >= Di: _nps, _di, _do, _t = NPSes[i], Dis[i], Dos[i], ts[i] return (_nps, _di, _do, _t) raise Exception('Di lookup failed') def Do_lookup(Do, NPSes, Dis, Dos, ts): for i in range(len(Dos)): # Go up ascending list; once larger than specified, return if Dos[-1] < Do: return None if Dos[i] >= Do: _nps, _di, _do, _t = NPSes[i], Dis[i], Dos[i], ts[i] return (_nps, _di, _do, _t) raise Exception('Do lookup failed') def NPS_lookup(NPS, NPSes, Dis, Dos, ts): for i in range(len(NPSes)): # Go up ascending list; once larger than specified, return if NPSes[i] == NPS: _nps, _di, _do, _t = NPSes[i], Dis[i], Dos[i], ts[i] return (_nps, _di, _do, _t) raise Exception('NPS not in list') # If accidentally given an numerical schedule, convert it to a string schedule_type = type(schedule) if schedule_type in (int, float): schedule = str(int(schedule)) if schedule not in schedule_lookup: raise ValueError('Schedule not recognized') else: NPSes, Dis, Dos, ts = schedule_lookup[schedule] # Handle the three cases of different inputs if Di: nums = Di_lookup(Di, NPSes, Dis, Dos, ts) elif Do: nums = Do_lookup(Do, NPSes, Dis, Dos, ts) elif NPS: nums = NPS_lookup(NPS, NPSes, Dis, Dos, ts) if nums is None: raise ValueError('Pipe input is larger than max of selected schedule') _nps, _di, _do, _t = nums return _nps, _di/1E3, _do/1E3, _t/1E3 ### Wire gauge schedules # Stub's Steel Wire Gage SSWG_integers = list(range(1, 81)) SSWG_inch = [0.227, 0.219, 0.212, 0.207, 0.204, 0.201, 0.199, 0.197, 0.194, 0.191, 0.188, 0.185, 0.182, 0.18, 0.178, 0.175, 0.172, 0.168, 0.164, 0.161, 0.157, 0.155, 0.153, 0.151, 0.148, 0.146, 0.143, 0.139, 0.134, 0.127, 0.12, 0.115, 0.112, 0.11, 0.108, 0.106, 0.103, 0.101, 0.099, 0.097, 0.095, 0.092, 0.088, 0.085, 0.081, 0.079, 0.077, 0.075, 0.072, 0.069, 0.066, 0.063, 0.058, 0.055, 0.05, 0.045, 0.042, 0.041, 0.04, 0.039, 0.038, 0.037, 0.036, 0.035, 0.033, 0.032, 0.031, 0.03, 0.029, 0.027, 0.026, 0.024, 0.023, 0.022, 0.02, 0.018, 0.016, 0.015, 0.014, 0.013] SSWG_SI = [round(i*inch, 7) for i in SSWG_inch] # 7 decimals for equal conversion # British Standard Wire Gage (Imperial Wire Gage) BSWG_integers = [0.143, .167, 0.2, 0.25, 0.33, 0.5] + list(range(51)) BSWG_inch = [0.5, 0.464, 0.432, 0.4, 0.372, 0.348, 0.324, 0.3, 0.276, 0.252, 0.232, 0.212, 0.192, 0.176, 0.16, 0.144, 0.128, 0.116, 0.104, 0.092, 0.08, 0.072, 0.064, 0.056, 0.048, 0.04, 0.036, 0.032, 0.028, 0.024, 0.022, 0.02, 0.018, 0.0164, 0.0149, 0.0136, 0.0124, 0.0116, 0.0108, 0.01, 0.0092, 0.0084, 0.0076, 0.0068, 0.006, 0.0052, 0.0048, 0.0044, 0.004, 0.0036, 0.0032, 0.0028, 0.0024, 0.002, 0.0016, 0.0012, 0.001] BSWG_SI = [round(i*inch,8) for i in BSWG_inch] # 8 decimals for equal conversion # Music Wire Gauge MWG_integers = [.167, 0.2, 0.25, 0.33, 0.5] + list(range(46)) MWG_inch = [0.004, 0.005, 0.006, 0.007, 0.008, 0.009, 0.01, 0.011, 0.012, 0.013, 0.014, 0.016, 0.018, 0.02, 0.022, 0.024, 0.026, 0.029, 0.031, 0.033, 0.035, 0.037, 0.039, 0.041, 0.043, 0.045, 0.047, 0.049, 0.051, 0.055, 0.059, 0.063, 0.067, 0.071, 0.075, 0.08, 0.085, 0.09, 0.095, 0.1, 0.106, 0.112, 0.118, 0.124, 0.13, 0.138, 0.146, 0.154, 0.162, 0.17, 0.18] MWG_SI = [round(i*inch,7) for i in MWG_inch] # 7 decimals for equal conversion # Scale gets bigger instead of smaller; reverse for convenience MWG_integers.reverse() MWG_inch.reverse() MWG_SI.reverse() # Steel Wire Gage -Also Washburn & Moen gage, American Steel gage; # Wire Co.gage; Roebling Wire Gages. SWG_integers = [0.143, .167, 0.2, 0.25, 0.33, 0.5] + list(range(51)) SWG_inch = [0.49, 0.4615, 0.4305, 0.3938, 0.3625, 0.331, 0.3065, 0.283, 0.2625, 0.2437, 0.2253, 0.207, 0.192, 0.177, 0.162, 0.1483, 0.135, 0.1205, 0.1055, 0.0915, 0.08, 0.072, 0.0625, 0.054, 0.0475, 0.041, 0.0348, 0.0318, 0.0286, 0.0258, 0.023, 0.0204, 0.0181, 0.0173, 0.0162, 0.015, 0.014, 0.0132, 0.0128, 0.0118, 0.0104, 0.0095, 0.009, 0.0085, 0.008, 0.0075, 0.007, 0.0066, 0.0062, 0.006, 0.0058, 0.0055, 0.0052, 0.005, 0.0048, 0.0046, 0.0044] SWG_SI = [round(i*inch,8) for i in SWG_inch] # 8 decimals for equal conversion # American Wire or Brown & Sharpe Gage AWG_integers = [.167, 0.2, 0.25, 0.33, 0.5] + list(range(51)) AWG_inch = [0.58, 0.5165, 0.46, 0.4096, 0.3648, 0.3249, 0.2893, 0.2576, 0.2294, 0.2043, 0.1819, 0.162, 0.1443, 0.1285, 0.1144, 0.1019, 0.0907, 0.0808, 0.072, 0.0641, 0.0571, 0.0508, 0.0453, 0.0403, 0.0359, 0.032, 0.0285, 0.0253, 0.0226, 0.0201, 0.0179, 0.0159, 0.0142, 0.0126, 0.0113, 0.01, 0.00893, 0.00795, 0.00708, 0.0063, 0.00561, 0.005, 0.00445, 0.00396, 0.00353, 0.00314, 0.0028, 0.00249, 0.00222, 0.00198, 0.00176, 0.00157, 0.0014, 0.00124, 0.00111, 0.00099] AWG_SI = [round(i*inch,9) for i in AWG_inch] # 9 decimals for equal conversion # Birmingham or Stub's Iron Wire Gage BWG_integers = [0.2, 0.25, 0.33, 0.5] + list(range(37)) BWG_inch = [0.5, 0.454, 0.425, 0.38, 0.34, 0.3, 0.284, 0.259, 0.238, 0.22, 0.203, 0.18, 0.165, 0.148, 0.134, 0.12, 0.109, 0.095, 0.083, 0.072, 0.065, 0.058, 0.049, 0.042, 0.035, 0.032, 0.028, 0.025, 0.022, 0.02, 0.018, 0.016, 0.014, 0.013, 0.012, 0.01, 0.009, 0.008, 0.007, 0.005, 0.004] BWG_SI = [round(i*inch,6) for i in BWG_inch] wire_schedules = {'BWG': (BWG_integers, BWG_inch, BWG_SI, True), 'AWG': (AWG_integers, AWG_inch, AWG_SI, True), 'SWG': (SWG_integers, SWG_inch, SWG_SI, True), 'MWG': (MWG_integers, MWG_inch, MWG_SI, False), 'BSWG': (BSWG_integers, BSWG_inch, BSWG_SI, True), 'SSWG': (SSWG_integers, SSWG_inch, SSWG_SI, True)} def gauge_from_t(t, SI=True, schedule='BWG'): r'''Looks up the gauge of a given wire thickness of given schedule. Values are all non-linear, and tabulated internally. Parameters ---------- t : float Thickness, [m] SI : bool, optional If False, requires that the thickness is given in inches not meters schedule : str Gauge schedule, one of 'BWG', 'AWG', 'SWG', 'MWG', 'BSWG', or 'SSWG' Returns ------- gauge : float-like Wire Gauge, [-] Notes ----- An internal variable, tol, is used in the selection of the wire gauge. If the next smaller wire gauge is within 10% of the difference between it and the previous wire gauge, the smaller wire gauge is selected. Accordingly, this function can return a gauge with a thickness smaller than desired in some circumstances. * Birmingham Wire Gauge (BWG) ranges from 0.2 (0.5 inch) to 36 (0.004 inch). * American Wire Gauge (AWG) ranges from 0.167 (0.58 inch) to 51 (0.00099 inch). These are used for electrical wires. * Steel Wire Gauge (SWG) ranges from 0.143 (0.49 inch) to 51 (0.0044 inch). Also called Washburn & Moen wire gauge, American Steel gauge, Wire Co. gauge, and Roebling wire gauge. * Music Wire Gauge (MWG) ranges from 0.167 (0.004 inch) to 46 (0.18 inch). Also called Piano Wire Gauge. * British Standard Wire Gage (BSWG) ranges from 0.143 (0.5 inch) to 51 (0.001 inch). Also called Imperial Wire Gage (IWG). * Stub's Steel Wire Gage (SSWG) ranges from 1 (0.227 inch) to 80 (0.013 inch) Examples -------- >>> gauge_from_t(.5, SI=False, schedule='BWG') 0.2 References ---------- .. [1] Oberg, Erik, Franklin D. Jones, and Henry H. Ryffel. Machinery's Handbook. Industrial Press, Incorporated, 2012. ''' tol = 0.1 # Handle units if SI: t_inch = round(t/inch, 9) # all schedules are in inches else: t_inch = t # Get the schedule try: sch_integers, sch_inch, sch_SI, decreasing = wire_schedules[schedule] except: raise ValueError('Wire gauge schedule not found') # Check if outside limits sch_max, sch_min = sch_inch[0], sch_inch[-1] if t_inch > sch_max: raise ValueError('Input thickness is above the largest in the selected schedule') # If given thickness is exactly in the index, be happy if t_inch in sch_inch: gauge = sch_integers[sch_inch.index(t_inch)] else: for i in range(len(sch_inch)): if sch_inch[i] >= t_inch: larger = sch_inch[i] else: break if larger == sch_min: gauge = sch_min # If t is under the lowest schedule, be happy else: smaller = sch_inch[i] if (t_inch - smaller) <= tol*(larger - smaller): gauge = sch_integers[i] else: gauge = sch_integers[i-1] return gauge def t_from_gauge(gauge, SI=True, schedule='BWG'): r'''Looks up the thickness of a given wire gauge of given schedule. Values are all non-linear, and tabulated internally. Parameters ---------- gauge : float-like Wire Gauge, [] SI : bool, optional If False, will return a thickness in inches not meters schedule : str Gauge schedule, one of 'BWG', 'AWG', 'SWG', 'MWG', 'BSWG', or 'SSWG' Returns ------- t : float Thickness, [m] Notes ----- * Birmingham Wire Gauge (BWG) ranges from 0.2 (0.5 inch) to 36 (0.004 inch). * American Wire Gauge (AWG) ranges from 0.167 (0.58 inch) to 51 (0.00099 inch). These are used for electrical wires. * Steel Wire Gauge (SWG) ranges from 0.143 (0.49 inch) to 51 (0.0044 inch). Also called Washburn & Moen wire gauge, American Steel gauge, Wire Co. gauge, and Roebling wire gauge. * Music Wire Gauge (MWG) ranges from 0.167 (0.004 inch) to 46 (0.18 inch). Also called Piano Wire Gauge. * British Standard Wire Gage (BSWG) ranges from 0.143 (0.5 inch) to 51 (0.001 inch). Also called Imperial Wire Gage (IWG). * Stub's Steel Wire Gage (SSWG) ranges from 1 (0.227 inch) to 80 (0.013 inch) Examples -------- >>> t_from_gauge(.2, False, 'BWG') 0.5 References ---------- .. [1] Oberg, Erik, Franklin D. Jones, and Henry H. Ryffel. Machinery's Handbook. Industrial Press, Incorporated, 2012. ''' try: sch_integers, sch_inch, sch_SI, decreasing = wire_schedules[schedule] except: raise ValueError("Wire gauge schedule not found; supported gauges are \ 'BWG', 'AWG', 'SWG', 'MWG', 'BSWG', and 'SSWG'.") try: i = sch_integers.index(gauge) except: raise ValueError('Input gauge not found in selected schedule') if SI: return sch_SI[i] # returns thickness in m else: return sch_inch[i] # returns thickness in inch