Source code for fluids.piping

# -*- coding: utf-8 -*-
'''Chemical Engineering Design Library (ChEDL). Utilities for process modeling.
Copyright (C) 2016, Caleb Bell <Caleb.Andrew.Bell@gmail.com>

Permission is hereby granted, free of charge, to any person obtaining a copy
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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from __future__ import division
from math import pi
from scipy.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)}


[docs]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)}
[docs]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
[docs]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