1 Weights and Measures Avoirdupois Weight Drams 16 256 6400 25600 512000 = = = = = 1 oz. 16 400 1600 32000 = = = = = 437.5 grains troy 1 lb. = 1.2153 lb. troy 25 = 1 quarter 100 = 4 = 1 cwt. 2000 = 80 = 20 = 1 ton Troy Weight Grains 24 = 1 pwt. 480 = 20 5760 = 240 = 1 oz. = 12 = 1 lb. = 22.816 in.3 of distilled water at 62°F Dry Measure 3 Pints = 33.6 in. 2 = 1 qt. = 67.2 in.3 8= 4 = 1 gal. = 268.8 in.3 16 = 8 = 1 peck = 537.6 in.3 64 = 32 = 8 = 4 = 1 bushel Note: The standard U.S. bushel is the Winchester bushel, 1 which is in cylinder form, 18 ⁄2″ in diameter, and 8″ deep, and contains 2150.42 in.3. 32 = 8 = 4 = 1 gal. 2016 = 404 = 252 = 63 = 1 hogshead 4032 = 1008 = 504 = 126 = 2 = 1 = pipe 8064 = 2016 = 1008 = 252 = 4 = 2 = 1 ton Note: The standard unit and liquid measure adopted by the U.S. government is the Winchester wine gallon, which contains 231 in.3, and holds 8.339 lbs., avoirdupois, of distilled water, at its maximum density weighed in air, the barometer being at 30″. The imperial gallon, adopted by Great Britain, contains 277.274 in.3, and equals 1.20032 U.S. gal. The following cylinders contain some of these measures very closely: Gill, dia. 13⁄4″; ht., 3″ Pint, dia., 31⁄2″; ht., 3″ Quart, dia., 31⁄2″; ht., 6″ Gallon, dia., 7″; ht., 6″ 8 gal., dia., 14″; ht., 12″ 10 gal., dia., 14″; ht., 15″ Weight of Water 1 in.3 12 in.3 1 ft.3 1 U.S. gallon 35.84 ft.3 2240 lbs. Square Measure Inches 144 = 1 ft. 1296 = 9 = 1 yd. 39204 = 272.25 = 30.25 = 1 perch 1568160 = 10890 = 1210 = 40 = 1 rod 6272640 = 43580 = 4840 = 160 = 4 = 1 acre An acre is 69.5701 yd.2; or, 208.710321 ft.2 A township is 6 mi.2 = 36 sections A section is 1 mi.2 = 640 acres 1 ⁄4 section is 1⁄2 mi.2 = 160 acres 1 ⁄16 section is 1⁄4 mi.2 = 40 acres A span is distance that can be reached between end of middle finger and the end of the thumb. Among sailors, 8 spans are equal to 1 thumb. A geographic mile is 1⁄21600 of distance around center of earth. A square mile of land is called a section. A Gunter’s chain, used by land surveyors, is 4 rods, or 66′ long, and consists of 100 links — 7.92″ make a link. Canal and railroad engineers use an engineer’s chain, which consists of 100 links, each 1′ long. Paper Measure Quire of paper 24 sheets Ream of paper 20 quires or 480 sheets Bundle 2 reams Bale 5 bundles Roll of parchment 60 skins Sheet of paper folded into: 2 leaves is termed folio size . . . .16 leaves is termed 16mo. 4 leaves is termed 4to. or quarto 18 leaves is termed 18mo. 8 leaves is termed 8vo. or octavo . . . . . . . . . . . . . . . . . . . . 24 leaves is termed 24mo. . . .12 leaves is termed 12mo. or 48 leaves is termed 48mo. . . . . . . . . . . . . . . . . .duodecim 480 = 24 = 8 = 1 oz 5760 = 288 = 96= 12 = 1 lb. Apothecaries’ Measure 60 minims = 1 fluid dram 16 fluid–oz. = 1 pt. 8 fluid-drams = 1 fluid oz. 8 pt. = 1 gal. Forty-five drops, or a common teaspoonful, make about 1 fluid-dram; 2 tablespoons, about 1 fluid-oz.; a wineglassful, about 11⁄2 fluid oz.; and a teacupful about 4 fluid oz. Lb. Avoirdupois 1 gal. distilled water . . . . . . . . . . . . . . . . . . . . . . . . .10.00 1 gal. sea water . . . . . . . . . . . . . . . . . . . . . . . . . . . . .10.32 1 gal. proof spirits . . . . . . . . . . . . . . . . . . . . . . . . . . . .9.08 Oils Lb.Avoirdupois 1 gal. sperm . . . .7 1⁄2 1 gal. whale . . . .7 1⁄2 1 gal. lard . . . . .7 1⁄2 1 gal. tallow . . .7 1⁄2 1 gal. neat’s-foot 7 1⁄2 Lb.Avoirdupois 1 gal. paraffin, 28° gravity . .7 3⁄8 1 gal. paraffin, 25° gravity . .7 1⁄2 1 gal. reduced Franklin . . . .7 1⁄4 1 gal. castor . . . . . . . . . . . . . . .8 1 gal. kerosene . . . . . . . . . .6 1⁄2 Troy Weight 24 grains = 1 pwt. 12 oz. = 1 lb. 20 pwts. = 1 oz. Used for weighing gold, silver, and jewels. Apothecaries’ Weight 20 grains = 1 scruple 3 scruples = 1 dram 8 drams = 1 oz. 12 oz. = 1 lb. Avoirdupois Weight 2711⁄32 grains = 1 dram . . . . . . . . . . . . . .4 quarters = 1 cwt. 16 drams = 1 oz. . . . . . . . . . . . . . . .2000 lbs. = 1 short ton 16 oz. = 1 lb. . . . . . . . . . . . . . . . . . . .2240 lb. = 1 long ton 25 lb. = 1 quarter Dry Measure 2 pt. = 1 qt. 8 qt. = 1 peck 4 pecks = 1 bushel 36 bushels = 1 chaldron Liquid Measure 4 gills = 1 pt. 2 pt. = 1 qt. 4 qt. = 1 gal. 60 seconds = 1 min. 24 hrs. = 1 day 60 minutes = 1 hr. 7 days = 1 wk. 28, 29, 30, or 31 days = 1 calendar mon. (30 days = 1 mon. in computing interest) 365 days = 1 yr. 366 days = 1 leap yr. Circular Measure 60 seconds = 1 min. 30 degrees = 1 sign 60 minutes = 1 degree 90 degrees = 1 quadrant 4 quadrants = 12 signs, or 360 degrees = 1 circle Long Measure 12 in. = 1 ft. 3 ft.= 1 yd. 3 mi. = 1 league Cloth Measure 21⁄4″ = 1 nail 4 nails = 1 quarter 4 quarters = 1 yd. Mariners’ Measure 6 ft. = 1 fathom 120 fathoms = 1 cable length 71⁄2 cable lengths = 1 mi. 40 rods = 1 furlong 8 furlongs = 1 stat. mi. 5280 ft. = 1 stat. mi. 6085 ft. = 1 naut. mi. Miscellaneous 3″ = 1 palm 4″ = 1 hand 9″ = 1 span 18″ = 1 cubit 21.8″= 1 Bible cubit 1 2 ⁄2′ = 1 military step Square Measure 144 in.2 = 1 ft.2 9 ft.2 = 1 yd.2 30 1⁄4 yds.2 = 1 rod2 40 rods2 = 1 rood 4 roods = 1 acre 640 acres = 1 mi.2 Surveyors’ Measure 7.92″ = 1 link 4 rods = 1 chain 25 links = 1 rod 10 chains2 or 160 rods2 = 1 acre 2 640 acres = 1 mi. 36 mi.2 (6 miles sq.) = 1 township Cubic Measure 1728 in.3 = 1 ft.3 27 ft.3 = 1 yd.3 2150.42 in.3 = 1 standard bushel 231 in.3 = 1 standard gallon 1 ft.3 = about 4⁄5 of a bushel 128 ft.3 = 1 cord (wood) 40 ft.3 = 1 ton (shipping) Metric Equivalents Linear Measure 1 cm = 0.3937″ 1 dm = 3.937″ = .0328 ft. 1 m = 39.37″ = 1.0936 yds. 1 dekam = 1.9884 rods 1 km = 0.62137 mi. 1″ = 2.54 cm 1′ = 3.048 dm 1 yard = 0.9144 m 1 rod = 0.5029 dekam 1 mile = 1.6093 km Square Measure 1 cm2 = 0.1550 in.2 1 dm2 = 0.1076 ft.2 1 m2 = 1.196 yds.2 1 acre = 3.954 rods2 1 hectare = 2.47 acres 1 km2 = 0.386 mi.2 1 in.2 = 6.452 cm2 1 ft.2 = 9.2903 dm2 1 yd.2 = 0.8361 m2 1 rod2 = 0.2529 acres 1 acre = 0.4047 hectare 1 mi.2 = 2.59 km2 Measure of Volume 1 cm3 = 0.061 in.3 1 dm3 = 0.0353 ft.3 1 m3 = 1.308 yd.3 1 stere = 0.2759 cd. 1 liter = 0.908 qt. dry 1 liter = 1.0567 qt. liquid 1 dekal = 2.6417 gal. 1 hl = 2.8375 bu. 311⁄2 gal. = 1 barrel 2 barrels = 1 hogshead Time Measure Liquid or Wine Measure GILLS = 7.2187 in.3 4 = 1 pint = 28.875 in.3 8 = 2 = 1 quart = 57.75 in.3 .03617 lbs. .4340 lbs. 7.48052 U.S. gal. 8.355 lbs. 2240 lbs. 268.8 U.S. gal. Liquid Weight Apothecaries’ Weight Grains 20 = 1 scruple 60 = 3 scruple = 1 dram = = = = = = 51⁄2 yds. = 1 rod 1 in.3 = 16.39 cm3 1 ft.3 = 28.317 dm3 1 yd.3 = 0.7646 m3 1 cord = 3.624 steres 1 qt. dry = 1.101 liters 1 qt. liquid = 0.9463 liter 1 gal. = 0.3785 dekal 1 pk. = 0.881 dekal 1 bu. = 0.3524 hl Weights 1 g = 0.0527 oz. 1 kg = 2.2046 lb. 1 metric ton = 1.1023 English ton 1 oz. = 28.85 g 1 lb. = 0.4536 kg 1 English ton = 0.9072 metric ton Approximate Metric Equivalents 1 dm = 4″ 1 m = 1.1 yds. 1 km = 5⁄8 mi. 1 hectare = 21⁄2 acres 1 stere or m3 = 1⁄4 cord 1 liter = 1.06 qt. liquid 1 liter = 0.9 qt. dry 1 hektoliter = 25⁄8 bushel 1 kg = 21⁄5 lb. 1 metric ton = 2200 lbs. 2 Conversion Table Inch Fractions and Decimals to Metric Equivalents Inches Fractions — — — 1 ⁄64″ — — 1 ⁄32″ — 3 ⁄64″ — 1 ⁄16″ 5 ⁄64″ — 3 ⁄32″ — 7 ⁄64″ — 1 ⁄8 ″ — 9 ⁄64″ 5 ⁄32″ — 11 ⁄64″ — 3 ⁄16″ — 13 ⁄64″ — 7 ⁄32″ 15 ⁄64″ — 1 ⁄4 ″ — 17 ⁄64″ — 9 ⁄32″ — 19 ⁄64″ 5 ⁄16″ — 21 ⁄64″ — 11 ⁄32″ — 23 ⁄64″ — 3 ⁄8 ″ 25 ⁄64″ — 13 ⁄32″ — 27 ⁄64″ — 7 ⁄16″ 29 ⁄64″ 15 ⁄32″ — 31 ⁄64″ — 1 ⁄2 ″ — 33 ⁄64″ 17 ⁄32″ 35 ⁄64″ — 9 ⁄16″ — 37 ⁄64″ — 19 ⁄32″ 39 ⁄64″ 5 ⁄8 ″ — 41 ⁄64″ — 21 ⁄32″ — 43 ⁄64″ Dec. .0004″ .004″ .01″ .0156″ .0197″ .0295″ .03125″ .0394″ .0469″ .059″ .0625″ .0781″ .0787″ .094″ .0984″ .1093″ .1181 .1250″ .1378″ .1406″ .15625″ .1575″ .17187″ .177 .1875″ .1969″ .2031″ .2165″ .21875″ .23437″ .2362″ .2500″ .2559″ .2656″ .2756″ .28125″ .2953″ .29687″ .3125″ .3150″ .3281″ .335″ .34375″ .3543″ .35937″ .374″ .3750″ .3906 .3937″ .4062 .413″ .42187″ .4331″ .4375″ .4531″ .46875″ .4724″ .48437″ .492″ .500″ .5118″ .5156″ .53125″ .54687″ .5512″ .5625″ .571″ .57812″ .5906″ .59375″ .60937″ .6250″ .6299″ .6406″ .6496″ .65625″ .6693″ .67187″ mm .01 .10 .25 .397 .50 .75 .794 1 1.191 1.5 1.588 1.984 2 2.381 2.5 2.776 3 3.175 3.5 3.572 3.969 4 4.366 4.5 4.763 5 5.159 5.5 5.556 5.953 6 6.350 6.5 6.747 7 7.144 7.5 7.541 7.938 8 8.334 8.5 8.731 9 9.128 9.5 9.525 9.922 10 10.319 10.5 10.716 11 11.113 11.509 11.906 12 12.303 12.5 12.700 13 13.097 13.494 13.891 14 14.288 14.5 14.684 15 15.081 15.478 15.875 16 16.272 16.5 16.669 17 17.066 Albuquerque 1-800-322-4401 Inches Fractions 11 ⁄16″ 45 ⁄64″ — 23 ⁄32″ — 47 ⁄64″ — 3 ⁄4 ″ 49 ⁄64″ 25 ⁄32″ — 51 ⁄64″ 13 ⁄16″ — 53 ⁄64″ 27 ⁄32″ 55 ⁄64″ — 7 ⁄8 ″ 57 ⁄64″ — 29 ⁄32″ 59 ⁄64″ 15 ⁄16″ — 61 ⁄64″ 31 ⁄32″ — 1 — 11⁄32″ 11⁄16″ — 13⁄32″ — 11⁄8″ — 15⁄32″ — 13⁄16″ 17⁄32″ — 11⁄4″ — 19⁄32″ — 15⁄16″ — 111⁄32″ 13⁄8 — 113⁄32 — 17⁄16″ — 115⁄32″ — 11⁄2″ 117⁄32″ — 19⁄16″ — 119⁄32″ — 15⁄8″ — 121⁄32″ 111⁄16″ — 123⁄32″ — 13⁄4″ — 125⁄32″ — 113⁄16″ 127⁄32″ — Dec. .6875″ .7031″ .7087″ .71875″ .7283″ .73437″ .7480″ .7500″ .7656″ .78125″ .7874″ .79687″ .8125″ .8268″ .8281″ .84375″ .85937″ .8662″ .8750″ .8906″ .9055″ .90625″ .92187″ .9375″ .9449″ .9531″ .96875 .9843″ 1.000″ 1.0236″ 1.0312″ 1.062″ 1.063″ 1.094″ 1.1024″ 1.125″ 1.1417″ 1.156″ 1.1811″ 1.1875″ 1.219″ 1.2205″ 1.250″ 1.2598″ 1.281″ 1.2992″ 1.312″ 1.3386″ 1.344″ 1.375″ 1.3779″ 1.406″ 1.4173″ 1.438″ 1.4567″ 1.469″ 1.4961″ 1.500″ 1.531″ 1.5354″ 1.562″ 1.5748″ 1.594″ 1.6142″ 1.625″ 1.6535″ 1.6562″ 1.6875″ 1.6929″ 1.719″ 1.7323″ 1.750″ 1.7717″ 1.781″ 1.8110″ 1.8125″ 1.844″ 1.8504″ Austin (512)477-6161 mm Inches Fractions 17.463 17.859 18 18.256 18.5 18.653 19 19.050 19.447 19.844 20 20.241 20.638 21 21.034 21.431 21.828 22 22.225 22.622 23 23.019 23.416 23.813 24 24.209 24.606 25 25.4 26 26.194 26.988 27 27.781 28 28.575 29 29.369 30 30.163 30.956 31 31.750 32 32.544 33 33.338 34 34.131 34.925 35 35.719 36 36.513 37 37.306 38 38.100 38.894 39 39.688 40 40.481 41 41.275 42 42.069 42.863 43 43.656 44 44.450 45 45.244 46 46.038 46.831 47 17⁄8″ — 129⁄32″ — 115⁄16″ — 131⁄32″ 2″ — — 21⁄16″ — 21⁄8″ — — 23⁄16″ — — 21⁄4″ — 25⁄16″ — — 23⁄8″ — 27⁄16″ — — 21⁄2″ — — 29⁄16″ — 25⁄8″ — — 211⁄16″ — 23⁄4″ — — 213⁄16″ — — 27⁄8″ — 215⁄16″ — — 3″ — 31⁄16″ — — 31⁄8″ — 33⁄16″ — — 31⁄4″ — — 35⁄16″ — 33⁄8″ — — 37⁄16″ — 31⁄2″ — — 39⁄16″ — — 35⁄8″ — 311⁄16″ Dec. 1.875″ 1.8898″ 1.9062″ 1.9291″ 1.9375″ 1.9685″ 1.969″ 2.000″ 2.0079″ 2.0472″ 2.062″ 2.0866″ 2.125″ 2.126″ 2.165″ 2.1875″ 2.2047″ 2.244″ 2.250″ 2.2835″ 2.312″ 2.3228″ 2.3622″ 2.375″ 2.4016″ 2.438″ 2.4409″ 2.4803″ 2.500″ 2.5197″ 2.559″ 2.562″ 2.5984″ 2.625″ 2.638″ 2.6772″ 2.6875″ 2.7165″ 2.750″ 2.7559″ 2.7953″ 2.8125″ 2.8346″ 2.8740″ 2.875″ 2.9134″ 2.9375″ 2.9527″ 2.9921″ 3.000″ 3.0315″ 3.062 3.0709″ 3.1102″ 3.125″ 3.1496″ 3.1875″ 3.1890″ 3.2283″ 3.250″ 3.2677″ 3.3071″ 3.312″ 3.3464″ 3.375″ 3.3858″ 3.4252″ 3.438″ 3.4646″ 3.500″ 3.5039″ 3.5433″ 3.562″ 3.5827″ 3.622″ 3.625″ 3.6614″ 3.6875″ Brownsville 1-800-522-4404 mm Inches Fractions 47.625 48 48.419 49 49.213 50 50.006 50.800 51 52 52.388 53 53.975 54 55 55.563 56 57 57.150 58 58.738 59 60 60.325 61 61.913 62 63 63.500 64 65 65.088 66 66.675 67 68 68.263 69 69.850 70 71 71.438 72 73 73.025 74 74.613 75 76 76.200 77 77.788 78 79 79.375 80 80.963 81 82 82.550 83 84 84.1377 85 85.725 86 87 87.313 88 88.900 89 90 90.4877 91 92 92.075 93 93.663 — — 33⁄4″ — 313⁄16″ — — 37⁄8″ — — 315⁄16″ — 4″ 41⁄16″ 41⁄8″ — 43⁄16″ 41⁄4″ 45⁄16″ — 43⁄8″ 47⁄16″ 41⁄2″ — 49⁄16″ 45⁄8″ — 43⁄4″ 47⁄8″ — 5″ — 51⁄4″ 51⁄2″ — 53⁄4″ — 6″ 61⁄4″ — 61⁄2″ — 63⁄4″ 7″ — — 71⁄2″ — 8″ — 81⁄2″ — 9″ — — 91⁄2″ — 10″ — — 11″ — — — 12″ 13″ — 14″ 15″ — 16″ 17″ — 18″ 19″ — 20″ 21″ Dec. 3.7008″ 3.7401″ 3.750″ 3.7795″ 3.8125″ 3.8189″ 3.8583″ 3.875″ 3.8976″ 3.9370″ 3.9375″ 3.9764″ 4.000″ 4.062″ 4.125″ 4.1338″ 4.1875″ 4.250″ 4.312″ 4.3307″ 4.375″ 4.438″ 4.500″ 4.5275″ 4.562″ 4.625″ 4.7244″ 4.750″ 4.875″ 4.9212″ 5.000 5.1181″ 5.250″ 5.500″ 5.5118″ 5.750″ 5.9055″ 6.000″ 6.250″ 6.2992″ 6.500″ 6.6929″ 6.750″ 7.000″ 7.0866″ 7.4803″ 7.500″ 7.8740″ 8.000″ 8.2677″ 8.500″ 8.6614″ 9.000″ 9.0551″ 9.4488″ 9.500″ 9.8425″ 10.000″ 10.2362″ 10.6299″ 11.000″ 11.0236″ 11.4173″ 11.8110″ 12.000″ 13.000″ 13.7795″ 14.000″ 15.000″ 15.7480″ 16.000″ 17.000″ 17.7165″ 18.000″ 19.000″ 19.6850″ 20.000″ 21.000 Corpus Christi 1-800-445-1599 mm 94 95 95.250 96 96.838 97 98 98.425 99 100 100.013 101 101.600 103.188 104.775 105 106.363 107.950 109.538 110 111.125 112.713 114.300 115 115.888 117.475 120 120.650 123.825 125 127 130 133.350 139.700 140 146.050 150 152.400 158.750 160 165.100 170 171.450 177.800 180 190 190.500 200 203.200 210 215.900 220 228.600 230 240 241.300 250 254.000 260 270 279.400 280 290 300 304.800 330.200 350 355.600 381 400 406.400 431.800 450 457.200 482.600 500 508 533.400 3 Decimal Equivalents of Parts of an Inch Fraction 1 ⁄64″ 1 ⁄32″ 3 ⁄64″ 1 ⁄16″ 5 ⁄64″ 3 ⁄32″ 7 ⁄64″ Decimal .01563″ .03125″ .04688″ .0625″ .07813″ .09375″ .10938″ Fraction 23 ⁄64″ 3 ⁄8 ″ 25 ⁄64″ 13 ⁄32″ 27 ⁄64″ 7 ⁄16″ 29 ⁄64″ Decimal .35938″ .375″ .39063″ .40625″ .42188″ .4375″ .45313″ Fraction 45 ⁄64″ 23 ⁄32″ 47 ⁄64″ 3 ⁄4 ″ 49 ⁄64″ 25 ⁄32″ 51 ⁄64″ Decimal .70313″ .71875″ .73438″ .75″ .76563″ .78125″ .79688″ 1 ⁄8 ″ ⁄64″ 5 ⁄32″ 11 ⁄64″ 3 ⁄16″ 13 ⁄64″ 7 ⁄32″ 15 ⁄64″ .125″ .14063″ .15625″ .17188″ .1875″ .20313″ .21875″ .23438″ 15 ⁄32″ ⁄64″ 1 ⁄2 ″ 33 ⁄64″ 17 ⁄32″ 35 ⁄64″ 9 ⁄16″ 37 ⁄64″ .46875″ .48438″ .5″ .51563″ .53125″ .54688″ .5625″ .57813″ 13 .8125″ .82813″ .84375″ .85938″ .875″ .89063″ .90625″ .92188″ 1 .25″ .26563″ .28125″ .29688″ .3125″ .32813″ .34375″ 19 .59375″ .60938″ .625″ .64063″ .65625″ .67188″ .6875″ 15 9 ⁄4 ″ 17 ⁄64″ 9 ⁄32″ 19 ⁄64″ 5 ⁄16″ 21 ⁄64″ 11 ⁄32″ 31 ⁄32″ ⁄64″ 5 ⁄8 ″ 41 ⁄64″ 21 ⁄32″ 43 ⁄64″ 11 ⁄16″ 39 ⁄16″ ⁄64″ ⁄32″ 55 ⁄64″ 7 ⁄8 ″ 57 ⁄64″ 29 ⁄32″ 59 ⁄64″ 53 27 ⁄16″ ⁄64 ⁄32″ 63 ⁄64″ 1″ — — 61 31 .9375″ .95313″ .96875″ .98438″ 1.00000″ — — Metric Conversion Table mm × .03937 mm × 25.4 cm × .3937 cm ÷ 2.54 m × 39.37 m × 3.281 m × 1.094 km × .621 km ÷ 1.6093 km × 3280.8693 × .00155 mm2 mm2 ÷ 645.1 cm2 × .155 cm2 ÷ 6.451 m2 × 10.764 km2 × 247.1 hectare × 2.471 3 ÷ 16.383 cm 3 cm ÷ 3.69 ÷ 29.57 cm3 3 × 35.315 m m3 × 1.308 m3 × 264.2 liters × 61.022 liters × 33.84 liters × .2642 liters ÷ 3.78 liters ÷ 28.316 hectoliters × 3.531 hectoliters × 2.84 hectoliters × .131 hectoliters ÷ 26.42 grams × 15.432 grams ÷ 981 grams (water) ÷ 29.57 grams ÷ 28.35 Joule × .7373 kg × 2.2046 kg × 35.3 kg ÷ 907.2 2 × 14.223 kg/cm kg m × 7.233 kg/m × .672 × .062 kg/m3 kg/Cheval × 2.235 Watts ÷ .746 Watts × .7373 Calorie × 3.968 Cheval Vapeur × .9863 (Degrees Centigrade × 1.8) + 32 Acceleration due to gravity at Paris = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = in. in. in. in. in. ft. yds. mi. mi. ft. in.2 in.2 in.2 in.2 ft.2 acres acres in.3 fl. drams fl. oz. ft.3 yds.3 gal. (231 in.3) in.3 fl. oz gal. (231 in.3) gal. (231 in.3) ft.3 ft.3 bu. (2150.42 in.3) yds.3 gal. (231 in.3) grains dynes fl. oz. oz. Avoir. lb. ft. lb. oz. Avoir. ton (2000 lbs.) psi lb. ft. lb./ft. lb./ft.3 lb./HP HP lb. ft./sec. BTU HP Degrees Fahrenheit 980.94 cm/sec. Mensuration of Surfaces and Volumes Area of rectangle = length × breadth Area of triangle = base × 1⁄2 perpendicular height Diameter of circle = radius × 2 Circumference of circle = diameter × 3.1416 Area of circle = square of diameter × .7854 no. of degrees in arc Area of sector of circle = area of circle ×360 Area of surface of cylinder = circumference × length + area of two ends To find the diameter of circle having given area: divide the area by .7854, and extract the square root To find the volume of a cylinder: multiply the area of the section in square inches by the length in inches = the volume in cubic inches. Cubic inches divided by 1728 = volume in cubic feet Surface of a sphere = square of diameter × 3.1416 Solidity of a sphere = cube of diameter × .5236 Side of an inscribed cube = radius of a sphere × 1.1547 Area of the base of a pyramid or cone, whether round, square, or triangular multiplied by one-third of its height = the solidity Diameter × .8862 = side of an equal square Diameter × .7071 = side of an inscribed square Radius × 6.2832 = circumference Circumference = 3.5446 × √ area of circle Diameter = 1.1283 × √ area of circle Length of arc = number of degrees × .017453 radius Degrees in arc whose length equals radius = 57° 2958′ Length of an arc of 1° = radius × .017543 Length of an arc of 1 min. = radius × .0002909 Length of an arc of 1 sec. = radius × .0000048 n = Proportion of circumference to diameter = 3.1415926 n2 = 9.8696044 √n = 1.7724538 Log n = 0.49715 1/n = 0.31831 1/360 = .002778 360/n = 114.59 Conversion Table ft. yd. in.2 ft.2 yd.2 Acres in.3 ft.3 Circular Inches Cylinder Inches Cylinder Feet Links Links ft. Width in Chains 183346 Circular Inches 2200 Cylindrical Inches ft.3 in.3 U.S. gal. U.S. gal. ft.3 in.3 Cylindrical Feet of Water lb. Avoir. lb. Avoir. ft.3 of Water 3 in. of Water Cylindrical Feet of Water Cylindrical Inch of Water 13.44 U.S. gal. of Water 268.8 U.S. gal.of Water 1.8 ft.3 of Water 35.88 ft.3 of Water Column of Water, 12″ High × 1″ Dia. U.S. bushel U.S. bushel U.S. bushel × .00019 × .0006 × .007 × .111 × .0002067 × 4840 × .00058 × .03704 × .00546 × .0004546 × .02909 × .22 × .66 × 1.5 × 8. × × × × × × × × × × × × × 7.48 .004329 .1336 231. .8036 .000466 6 .009 .00045 62.5 .03617 49.1 .0284 × × × .049 1.2446 2150.42 = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = mi. mi.º ft.2 yd.2 Acres yd.2 ft.3 yds.3 ft.2 ft.3 yd.3 yd. ft. Links Acres/mi. 1 ft.2 1 ft.3 U.S. gal. U.S. gal. ft.3 in.3 U.S. bushel U.S. bushel U.S. gal. Cwt. (112) Tons (2240) lb. Avoir. lb. Avoir. lb. Avoir. lb. Avoir. 1 Cwt. 1 Ton 1 Cwt. 1 Ton .341 lb. yd.3 ft.3 in.3 4 No. of U.S. Gallons in Round Tank for One Foot Depth Dia. of Tank Ft. In. 1 — 1 1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1 10 1 11 2 — 2 1 2 2 2 3 2 4 2 5 2 6 2 7 2 8 2 9 2 10 2 11 3 — 3 1 3 2 3 3 3 4 3 5 3 6 3 7 3 8 3 9 3 10 3 11 4 — 4 1 4 2 4 3 4 4 4 5 4 6 4 7 4 8 4 9 4 10 4 11 5 — 5 1 5 2 5 3 5 4 5 5 5 6 5 7 5 8 5 9 5 10 5 11 6 — 6 3 6 6 6 9 7 — 7 3 7 6 7 9 8 — 8 3 8 6 8 9 Cap. U.S. Gal. 5.87 6.89 8.00 9.18 10.44 11.79 13.22 14.73 16.32 17.99 19.75 21.58 23.50 25.50 27.58 29.74 31.99 34.31 36.72 39.21 41.78 44.43 47.16 49.98 52.88 55.86 58.92 62.06 65.28 68.58 71.97 75.44 78.99 82.62 86.33 90.13 94.00 97.96 102.00 106.12 110.32 114.61 118.97 123.42 127.95 132.56 138.25 142.02 146.88 151.82 156.83 161.93 167.12 172.38 177.72 183.15 188.66 194.25 199.92 205.67 211.51 229.50 248.23 267.69 287.88 308.81 330.48 352.88 376.01 399.88 424.48 449.82 Vol. Ft.3 & Area Ft.2 .785 .922 1.069 1.227 1.396 1.576 1.767 1.969 2.182 2.405 2.640 2.885 3.142 3.409 3.687 3.976 4.276 4.587 4.909 5.241 5.585 5.940 6.305 6.681 7.069 7.467 7.876 8.296 8.727 9.168 9.621 10.085 10.559 11.045 11.541 12.048 12.566 13.095 13.635 14.186 14.748 15.321 15.90 16.50 17.10 17.72 18.35 18.99 19.63 20.29 20.97 21.65 22.34 23.04 23.76 24.48 25.22 25.97 26.73 27.49 28.27 30.68 33.18 35.78 38.48 41.28 44.18 47.17 50.27 53.46 56.75 60.13 Dia. of Tank Ft. In. 9 — 9 3 9 6 9 9 10 — 10 3 10 6 10 9 11 — 11 3 11 6 11 9 12 — 12 3 12 6 12 9 13 — 13 3 13 6 13 9 14 — 14 3 14 6 14 9 15 — 15 3 15 6 15 9 16 — 16 3 16 6 16 9 17 — 17 3 17 6 17 9 18 — 18 3 18 6 18 9 19 — 19 3 19 6 19 9 20 — 20 3 20 6 20 9 21 — 21 3 21 6 21 9 22 — 22 3 22 6 22 9 23 — 23 3 23 6 23 9 24 — 24 3 24 6 24 9 25 — 25 3 25 6 25 9 26 — 26 3 26 6 26 9 Vol. Ft.3 & Area Ft.2 63.62 67.20 70.88 74.66 78.54 82.52 86.59 90.76 95.03 99.40 103.87 108.43 113.10 117.86 122.72 127.86 132.72 137.89 143.14 148.49 153.94 159.48 165.13 170.87 176.71 182.65 188.69 194.83 201.06 207.39 213.82 220.35 226.98 233.71 240.53 247.45 254.47 261.59 268.80 276.12 283.53 291.04 298.65 306.35 314.16 322.06 330.06 338.16 346.36 354.66 363.05 371.54 380.13 388.82 397.61 406.49 415.48 424.56 433.74 443.01 452.39 461.86 471.44 481.11 490.87 500.74 510.71 520.77 530.93 541.19 551.55 562.00 Cap. U.S. Gal. 475.89 502.70 530.24 558.51 587.52 617.26 647.74 678.95 710.90 743.58 776.99 811.14 846.03 881.65 918.00 955.09 992.91 1031.5 1070.8 1110.8 1151.5 1193.0 1235.3 1278.2 1321.9 1366.4 1411.5 1457.4 1504.1 1551.4 1599.5 1648.4 1697.9 1748.2 1799.3 1851.1 1903.6 1956.8 2010.8 2065.5 2120.9 2177.1 2234.0 2291.7 2350.1 2409.2 2469.1 2529.6 2591.0 2653.0 2715.8 2779.3 2843.6 2908.6 2974.3 3040.8 3108.0 3175.9 3244.6 3314.0 3384.1 3455.0 3526.6 3597.9 3672.0 3745.8 3820.3 3895.6 3971.6 4048.4 4125.9 4204.1 To find the capacity of tanks larger than given in the table, set table for tank one-half of the given size, and multiply its capacity by 4, or one of one-third its size and multiply by 9, etc. Thirty-one and one-half gallons equal one barrel. To find the capacity of a square tank, find the capacity of a round tank with diameter same as length of side and divide by .7854. A 10′ diameter round tank, 1′ high, holds 587.52 gallons. A square tank 10′×10′ by 1′ high equals 587.52 divided by .7854 equals 748 gallons. Alb A i Capacity of Steel Tanks Gal. per Ft. Lgth. 5.87 6.89 8.00 9.18 10.44 11.79 13.22 14.73 16.32 17.99 Dia. 12″ 13″ 14″ 15″ 16″ 17″ 18″ 19″ 20″ 21″ Gal. per Ft. Lgth. 19.75 21.58 23.50 25.50 27.58 29.74 31.99 34.31 36.72 39.21 Dia. 22″ 23″ 24″ 25″ 26″ 27″ 28″ 29″ 30″ 31″ Dia. 32″ 33″ 34″ 35″ 36″ 37″ 38″ 39″ 40″ — Gal. per Ft. Lgth. 41.78 44.43 47.16 49.98 52.88 55.86 58.92 62.06 65.28 — Number of Gallons in Cisterns and Tanks Dpth. 5′ 6′ 7′ 8′ 9′ 10′ Dia. 5′ 725 870 1015 1160 1305 1450 6′ 1060 1270 1480 1690 1900 2110 7′ 1440 1728 2016 2304 2592 2880 11′ 3550 4260 4970 5680 6380 7100 12′ 4237 5084 5931 6778 7625 8472 13′ 4960 5952 6944 7936 8928 9920 Dpth. 5′ 6′ 7′ 8′ 9′ 10′ 8′ 1875 2250 2625 3000 3375 3750 9′ 2380 2855 3330 3805 4280 4755 10′ 2925 3510 4112 4680 5265 5850 14′ 5765 6918 8071 9224 10377 11530 15′ 6698 8038 9378 10718 12058 13398 16′ 7520 9024 10528 12032 13536 15040 Dia. Friction of Water in 90° Elbows Equivalent Number of Feet of Straight Pipe 1 3 1 Size of Elbow ⁄4″ ⁄8″ ⁄2″ 3′ 4′ 5′ Friction Equivalenta 1 1 1 ⁄2″ 2″ Size of Elbow 1 ⁄4″ 8′ 8′ 8′ Friction Equivalenta Size of Elbow 4″ 5″ 6″ 16′ 18′ 18′ Friction Equivalenta Size of Elbow 12″ 14″ 15″ 40′ 54′ 55′ Friction Equivalenta Size of Elbow 24″ 30″ 36″ 80′ 100′ 120′ Friction Equivalenta 3 ⁄4″ 6′ 2 1⁄2″ 11′ 8″ 24′ 16″ 55′ 42″ 140′ 1″ 6′ 3″ 15′ 10″ 30′ 20″ 70′ 48″ 160′ The figures given are based on the assumption tht the total velocity head of the water flowing through the elbow is used up to overcome the friction. a Straight pipe. Comparison of Centigrade and Fahrenheit Thermometer Scales °C 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 °F 32.0 33.8 35.6 37.4 39.2 41.0 42.8 44.6 46.4 48.2 50.0 51.8 53.6 55.4 57.2 59.0 60.8 62.6 64.4 66.2 68.0 69.8 71.6 73.4 75.2 77.0 °C 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 °F 78.8 80.6 82.4 84.2 86.0 87.8 89.6 91.4 93.2 95.0 96.8 98.6 100.4 102.2 104.0 105.8 107.6 109.4 111.2 113.0 114.8 116.6 118.4 120.2 122.0 123.8 °C 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 °F 125.6 127.4 129.2 131.0 132.8 134.6 136.4 138.2 140.0 141.8 143.6 145.4 147.2 149.0 150.8 152.6 154.4 156.2 158.0 159.8 161.6 163.4 165.2 167.0 168.8 170.6 °C 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 — — — °F 172.4 174.2 176.0 177.8 179.6 181.4 183.2 185.0 186.8 188.6 190.4 192.2 194.0 195.8 197.6 199.4 201.2 203.0 204.8 206.6 208.4 210.2 212.0 — — — Temperature corrections based on room temperature of 25°C. If the temperature of room during a test differs from 25°C, corrections should be made changing the observed rise of temperature by one-half percent for each degree C. Thus, with a room temperature of 35°C, the observed rise has to be decreased by 5 percent, and with a room temperature of 15°C, the observed rise has to be increased by 5 percent. B ill C Ch i i 5 Table Giving the Circumference and Area of Circles Dia. Circum. 1 .3926″ 1 .7854″ ⁄8″ Area, In.2 Dia. Circum. Area, In.2 Dia. Circum. .0122 6″ 18.84″ 28.274 1 19 ⁄2″ 61.26″ .0491 61⁄2″ 20.42″ 33.183 20″ 62.83″ Area, In.2 Dia. Circum. Area, In.2 Dia. Circum. Area, In.2 Dia. Circum. Area, In.2 298.64 41″ 128.81″ 1320.25 68″ 213.63″ 3631.68 95″ 298.45″ 7088.22 314.16 42″ 131.95″ 1385.44 69″ 216.77″ 3739.28 96″ 301.59″ 7238.23 3 1.178″ .1104 7″ 21.99″ 38.484 201⁄2″ 64.40″ 330.06 43″ 135.09″ 1452.20 70″ 219.91″ 3848.46 97″ 304.73″ 7389.81 1 1.570″ .1963 71⁄2″ 23.56″ 44.178 21″ 65.97″ 346.36 44″ 138.23″ 1520.53 71″ 223.05″ 3959.20 98″ 307.88″ 7542.96 5 1.963″ .3067 8″ 25.13″ 50.265 211⁄2″ 67.54″ 363.04 45″ 141.37″ 1590.43 72″ 226.19″ 4071.50 99″ 311.02″ 7697.69 3 2.356″ .4417 81⁄2″ 26.70″ 56.745 22″ 69.11″ 380.13 46″ 144.51″ 1661.90 73″ 229.34″ 4185.39 100″ 314.16″ 7853.98 7 2.748″ .6013 9″ 28.27″ 63.617 221⁄2″ 70.68″ 397.60 47″ 147.65″ 1734.94 74″ 232.48″ 4300.84 101″ 317.30″ 8011.85 1″ 3.141″ .7854 91⁄2″ 29.84″ 70.882 23″ 72.25″ 415.47 48″ 150.80″ 1809.56 75″ 235.62″ 4417.86 102″ 320.44″ 8171.28 11⁄8″ 3.543″ .9940 10″ 31.41″ 78.54 231⁄2″ 73.82″ 433.73 49″ 153.94″ 1885.74 76″ 238.76″ 4536.46 103″ 323.58″ 8332.29 11⁄4″ 3.927″ 1.227 101⁄2″ 32.98″ 86.59 24″ 75.39″ 452.39 50″ 157.08″ 1963.50 77″ 241.90″ 4656.64 104″ 326.73″ 8494.87 13⁄8″ 4.319″ 1.484 11″ 34.55″ 95.03 241⁄2″ 76.96″ 471.43 51″ 160.22″ 2042.82 78″ 245.04″ 4778.36 105″ 329.87″ 8659.01 11⁄2″ 4.712″ 1.767 111⁄2″ 36.12″ 103.86 25″ 78.54″ 490.87 52″ 163.36″ 2123.72 79″ 248.19″ 4901.67 106″ 333.01″ 8824.73 15⁄8″ 5.105″ 2.073 12″ 37.69″ 113.09 26″ 81.68″ 530.93 53″ 166.50″ 2206.18 80″ 251.33″ 5026.55 107″ 336.15″ 8992.02 13⁄4″ 5.497″ 2.405 121⁄2″ 39.27″ 122.71 27″ 84.82″ 572.55 54″ 169.65″ 2290.22 81″ 254.47″ 5153.00 108″ 339.29″ 9160.88 17⁄8″ 5.890″ 2.761 13″ 40.84″ 132.73 28″ 87.96″ 615.75 55″ 172.79″ 2375.83 82″ 257.61″ 5281.02 109″ 342.43″ 9331.32 2″ 6.283″ 3.141 131⁄2″ 42.41″ 143.13 29″ 91.10″ 660.52 56″ 175.93″ 2463.01 83″ 260.75″ 5410.61 110″ 345.58″ 9503.32 21⁄4″ 7.068″ 3.976 14″ 43.98″ 153.93 30″ 94.24″ 706.86 57″ 179.07″ 2551.76 84″ 263.89″ 5541.77 111″ 348.72″ 9676.89 21⁄2″ 7.854″ 4.908 141⁄2″ 45.55″ 165.13 31″ 97.38″ 754.76 58″ 182.21″ 2642.08 85″ 267.04″ 5674.50 112″ 351.86″ 9852.03 23⁄4″ 8.639″ 5.939 15″ 47.12″ 176.78 32″ 100.53″ 804.24 59″ 185.35″ 2733.97 86″ 270.18″ 5808.80 113″ 355.00″ 10028.75 9.424″ ⁄4″ ⁄8″ ⁄2″ ⁄8″ ⁄4″ ⁄8″ 7.068 151⁄2″ 48.69″ 188.69 33″ 103.67″ 855.30 60″ 188.50″ 2827.43 87″ 273.32″ 5944.68 114″ 358.14″ 10207.03 31⁄4″ 10.21″ 8.295 16″ 50.26″ 201.06 34″ 106.81″ 907.92 61″ 191.64″ 2922.47 88″ 276.46″ 6082.12 115″ 361.28″ 10386.89 31⁄2″ 10.99″ 9.621 161⁄2″ 51.83″ 213.82 35″ 109.96″ 962.11 62″ 194.78″ 3019.07 89″ 279.60″ 6221.14 116″ 364.42″ 10568.32 33⁄4″ 11.78″ 11.044 17″ 53.40″ 226.98 36″ 113.10″ 1017.88 63″ 197.92″ 3117.25 90″ 282.74″ 6361.73 117″ 367.57″ 10751.32 4″ 12.56″ 12.566 171⁄2″ 54.97″ 240.52 37″ 116.24″ 1075.21 64″ 201.06″ 3216.99 91″ 285.88″ 6503.88 118″ 370.71″ 10935.88 41⁄2″ 14.13″ 15.904 18″ 56.54″ 254.46 38″ 119.38″ 1134.11 65″ 204.20″ 3318.31 92″ 289.03″ 6647.61 119″ 373.85″ 11122.02 5″ 15.70″ 19.635 181⁄2″ 58.11″ 268.80 39″ 122.52″ 1194.59 66″ 207.34″ 3424.29 93″ 292.17″ 6792.91 120″ 376.99″ 11309.73 51⁄2″ 17.27″ 23.758 19″ 59.69″ 283.52 40″ 125.66″ 1256.64 67″ 210.49″ 3525.65 94″ 295.31″ 6939.78 121″ 380.13″ 11499.01 3″ 6 American or Brown & Wire Sharpe Gage No. Gage 0000000 000000 00000 0000 000 00 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 .651354″ .580049″ .516549″ .460″ .40964″ .3648″ .32486″ .2893″ .25763″ .22942″ .20431″ .18194″ .16202″ .14428″ .12849″ .11443″ .10189″ .090742″ .080808″ .071961″ .064084″ .057068″ .05082″ .045257″ .040303″ .03589″ .031961″ .028462″ .025347″ .022571″ .0201″ .0179″ .01594″ .014195″ .012641″ .011257″ .010025″ .008928″ .00795″ .00708″ .006304″ .005614″ .005″ .004453″ .003965″ Wire Gage Standards U.S. Standard Gage Decimal Thickness American Birming- Washburn S.&W. ham & Moen Co’s or Stubs’ Steel Music Imperial Wire Wire Wire Wire Gage Gage Gage Gage For Sheet and Plate Iron and Steel — —. .500″ .454″ .425″ .380″ .340″ .300″ .284″ .259″ .238″ .220″ .203″ .180″ .165″ .148″ .134″ .120″ .109″ .095″ .083″ .072″ .065″ .058″ .049″ .042″ .035″ .032″ .028″ .025″ .022″ .020″ .018″ .016″ .014″ .013″ .012″ .010″ .009″ .008″ .007″ .005″ .004″ — — .4900″ .4615″ .4305″ .3938″ .3625″ .3310″ .3065″ .2830″ .2625″ .2437″ .2253″ .2070″ .1920″ .1770″ .1620″ .1483″ .1350″ .1205″ .1055″ .0915″ .0800″ .0720″ .0625″ .0540″ .0475″ .0410″ .0348″ .0317″ .0286″ .0258″ .0230″ .0204″ .0181″ .0173″ .0162″ .0150″ .0140″ .0132″ .0128″ .0118″ .0104″ .0095″ .0090″ .0085″ .080″ — .004″ .005″ .006″ .007″ .008″ .009″ .010″ .011″ .012″ .013″ .014″ .016″ .018″ .020″ .022″ .024″ .026″ .029″ .031″ .033″ .035″ .037″ .039″ .041″ .043″ .045″ .047″ .049″ .051″ .055″ .059″ .063″ .067″ .071″ .075″ .080″ .085″ .090″ .095″ — — — — — .500″ .464″ .432″ .400″ .372″ .348″ .324″ .300″ .276″ .252″ .232″ .212″ .192″ .176″ .160″ .144″ .128″ .116″ .104″ .092″ .080″ .072″ .064″ .056″ .048″ .040″ .036″ .032″ .028″ .024″ .022″ .020″ .018″ .0164″ .0149″ .0136″ .0124″ .0116″ .0108″ .0100″ .0092″ .0084″ .0076″ .0068″ .0060″ Iron Stubs’ Steel Wire Gage — — — — — — — .227″ .219″ .212″ .207″ .204″ .201″ .199″ .197″ .194″ .191″ .188″ .185″ .182″ .180″ .178″ .175″ .172″ .168″ .164″ .161″ .157″ .155″ .153″ .151″ .148″ .146″ .143″ .139″ .134″ .127″ .120″ .115″ .112″ .110″ .108″ .106″ .103″ .101″ U.S. Standard for Plate Gage .500″ .46875″ .4375″ .40625″ .375″ .34375″ .3125″ .28125″ .265625″ .250″ .234375″ .21875″ .203125″ .1875″ .171875″ .15625″ .140625″ .125″ .109375″ .09375″ .078125″ .0703125″ .0625″ .05625″ .050″ .04375″ .0375″ .034375″ .03125″ .028125″ .025″ .021875″ .01875″ .0171875″ .015625″ .0140625″ .0125″ .0109375″ .01015625″ .009375″ .00859375″ .0078125″ .00703125″ .006640625″ .00625″ Gage Standards It is at times confusing to know what Gage Standard applies to a given product. Therefore, we publish the following for your information. Steel Sheets: All carbon steel, uncoated, Manufacturers’ Standard Gage; galvanized steel, Galvanized Sheet Gage; stainless steel, Manufacturers’ Standard Gage. Hot Rolled Strip Steel, Spring Steel Bars and Sheets, Tool Steel Sheets, and Boiler Tubes: The standard is Birmingham Wire Gage. Cold Rolled Strip Steel and Cold Rolled Flat Wire: While Birmingham Wire Gage is sometimes used, decimal measure is better. Brass, Copper, Bronze, and German Silver Sheets and Strips: The standard is Brown & Sharpe Gage (B&S). Brass and Copper Tubing: Birmingham Wire Gage Steel Wire: Washburn and Moen Gage (W.&M.) is standard except for telephone and telegraph wire. Telephone and Telegraph Wire: Generally designated by Birmingham Wire Gage. Music Wire: Should be ordered by decimal since manufacturers are not in agreement as to diameters for certain gages. Copper Wire: Brown & Sharpe Gage is standard. Drill and Coppered Bessemer Rods: Order by decimal equivalent of size desired. Copper Sheets: Specified in ounces per square foot. Zinc Sheets: Standard Zinc Gage. Tin Plates and Ternes: Order by base weight and specific size. Carbon Plates: 40.8 lb. psf per inch of thickness. Number of Gage Approx. Thickness Fractions 0000000 000000 00000 0000 000 00 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 ⁄2″ ⁄32″ ⁄16″ 13 ⁄32″ 3 ⁄8″ 11 ⁄32″ 5 ⁄16″ 9 ⁄32″ 17 ⁄64″ 1 ⁄4″ 15 ⁄64″ 7 ⁄32″ 13 ⁄64″ 3 ⁄16″ 11 ⁄64″ 5 ⁄32″ 9 ⁄64″ 1 ⁄8″ 7 ⁄64″ 3 ⁄32″ 5 ⁄64″ 9 ⁄128″ 1 ⁄16″ 9 ⁄160″ 1 ⁄20″ 7 ⁄160″ 3 ⁄80″ 11 ⁄320″ 1 ⁄32″ 9 ⁄320″ 1 ⁄40″ 7 ⁄320″ 3 ⁄160″ 11 ⁄640″ 1 ⁄64″ 9 ⁄640″ 1 ⁄80″ 7 ⁄640″ 13 ⁄1280″ 3 ⁄320″ 11 ⁄1280″ 5 ⁄640″ 9 ⁄1280″ 17 ⁄2560″ 1 ⁄160″ 1 15 7 Steel Approx. Thickness Decimal .5″ .46875″ .4375″ .40625″ .375″ .34375″ .3125″ .28125″ .265625″ .25″ .234375″ .21875″ .203125″ .1875″ .171875″ .15625″ .140625″ .125″ .109375″ .09375″ .078125″ .0703125″ .0625″ .05625″ .05″ .04375″ .0375″ .034375″ .03125″ .028125″ .025″ .021875″ .01875″ .0171875″ .015625″ .0140625″ .0125″ .0109375″ .01015625″ .009375″ .00859375″ .0078125″ .00703125″ .006640625″ .00625″ Approx. Thickness Decimal .4902″ .4596″ .4289″ .3983″ .3676″ .3370″ .3064″ .2757″ .2604″ .2451″ .2298″ .2145″ .1991″ .1838″ .1685″ .1532″ .1379″ .1225″ .1072″ .09191″ .07659″ .06893″ .06127″ .05515″ .04902″ .04289″ .03676″ .03370″ .03064″ .02757″ .02451″ .02145″ .01838″ .01685″ .01532″ .01379″ .01225″ .01072″ .00996″ .00919″ .00843″ .00766″ .00689″ .00651″ .00613″ Weight Lbs./Ft.2 20.00 18.75 17.50 16.25 15.00 13.75 12.50 11.25 10.625 10.00 9.375 8.75 8.125 7.5 6.875 6.25 5.625 5.00 4.375 3.75 3.125 2.8125 2.5 2.25 2. 1.75 1.50 1.375 1.25 1.125 1. .875 .75 .6875 .625 .5625 .5 .4375 .40625 .375 .34375 .3125 .28125 .265625 .25 7 8 9 Friction of Water in Pipes Loss of Head in Feet Due to Friction, per 100′ of Ordinary Iron Pipe Size Pipe Gallons per Minute 1 3 /4″ /8″ Vel. Fric. Vel. 3 1″ /4″ 1 /2″ Fric. Vel. Fric. Vel. Fric. Vel. Fric. — 1 3.08 28.0 1.67 6.4 1.05 2.1 — — — 2 6.16 103.0 3.35 23.3 2.10 7.4 1.20 1.9 — — 3 — — 5.02 49.0 3.16 15.8 1.80 4.1 1.12 1.26 4 — — 6.70 84.0 4.21 27.0 2.41 7.0 1.49 2.14 — 8.37 126.0 5.26 41.0 3.01 10.5 1.86 147.0 6.02 38.0 3.72 11.7 — 9.02 80.0 5.60 25.0 — 12.03 136.0 7.44 42.0 64.0 5 — 10 — — — — 10.52 15 — — — — — 20 — — — — — 3.25 25 — — — — — — — — 9.30 30 — — — — — — — — 11.15 89.0 35 — — — — — — — — 13.02 119.0 40 — — — — — — — — 14.88 152.0 45 — — — — — — — — — — Size Pipe Gallons per Minute 11/4″ 11/2″ 21/2″ 2″ 3″ Vel. Fric. Vel. Fric. Vel. Fric. Vel. Fric. Vel. Fric. 4 0.86 0.57 0.63 0.26 — — — — — — 5 1.07 0.84 0.79 0.39 10 2.14 3.05 1.57 1.43 — 1.02 — 0.50 — 0.65 — 0.17 — 0.45 — 0.07 15 3.2 6.50 2.36 3.0 1.53 1.0 0.98 0.36 0.68 0.15 20 4.29 11.1 3.15 5.2 2.04 1.82 1.31 0.61 0.91 0.25 25 5.36 16.6 3.94 7.8 2.55 2.73 1.63 0.92 1.13 0.38 30 6.43 23.5 4.72 11.0 3.06 3.84 1.96 1.29 1.36 0.54 35 7.51 31.2 5.51 14.7 3.57 5.1 2.29 1.72 1.59 0.71 40 8.58 40.0 6.30 18.8 4.08 6.6 2.61 2.20 1.82 0.91 45 9.65 50.0 7.08 23.2 4.60 8.2 2.94 2.80 2.05 1.15 50 10.72 60.0 7.87 28.4 5.11 9.9 3.27 3.32 2.27 1.38 70 15.01 113.0 11.02 53.0 7.15 18.4 4.58 6.2 3.18 2.57 90 — — 14.17 84.0 9.19 29.4 5.88 9.8 4.09 4.08 100 — — 15.74 102.0 10.21 35.8 6.54 12.0 4.54 4.96 120 — — 18.89 143.0 12.25 50.0 7.84 16.8 5.45 7.0 — 22.04 190.0 14.30 67.0 9.15 22.3 6.35 9.2 86.0 10.46 29.0 7.26 11.8 140 — 160 — — — — 16.34 180 — — — — 18.38 107.0 11.76 35.7 8.17 14.8 200 — — — — 20.42 129.0 13.07 43.1 9.08 17.8 220 — — — — 22.47 154.0 14.38 52.0 9.99 21.3 240 — — — — 24.51 182.0 15.69 61.0 10.89 25.1 260 — — — — 26.55 211.0 16.99 70.0 11.80 29.1 — 18.30 81.0 12.71 33.4 92.0 13.62 38.0 280 — — — — — 300 — — — — — — 19.61 350 — — — — — — — Vel. – Velocity in Feet per Second Fric. – Friction Head in Feet — — — 10 Size Pipe Gallons per Minute 4″ 5″ 6″ 8″ 10″ 12″ Vel. Fric. Vel. Fric. Vel. Fric. Vel. Fric. Vel. Fric. Vel. 40 1.02 0.22 — — — — — — — — — 45 1.17 0.28 — — — — — — — — — 50 1.28 0.34 — — — — — — 1.79 0.63 — 0.21 — 70 — 1.14 — — — — — — — 75 1.92 0.73 1.22 0.24 — — — 1.23 1.63 0.39 — 0.14 — 2.55 — 1.14 — 100 — — — — — 120 3.06 1.71 1.96 0.57 1.42 0.25 — — — — — 125 3.19 1.81 2.04 0.64 1.48 0.28 — — — — — 150 3.84 2.55 2.45 0.88 1.71 0.32 — — — — — 175 4.45 3.36 2.86 1.18 2.00 0.48 — — — — — 200 5.11 4.37 3.27 1.48 2.28 0.62 — — — — — 225 6.32 6.61 3.67 1.86 2.57 0.74 — — 6.40 6.72 4.08 2.24 2.80 0.92 — 0.22 — 250 — 1.60 — — — 270 6.90 7.70 4.42 2.60 3.03 1.13 1.70 0.25 — — — 275 7.03 7.99 4.50 2.72 3.06 1.15 1.73 0.27 — — — 300 7.66 9.38 4.90 3.15 3.40 1.29 1.90 0.36 — — — 350 8.90 12.32 5.72 4.19 3.98 1.69 2.20 0.41 — — — 400 10.20 15.82 6.54 5.33 4.54 2.21 2.60 0.56 11.50 19.74 7.35 6.65 5.12 2.74 2.92 0.64 — 0.21 — 450 — 1.80 470 12.16 22.40 7.78 7.42 5.49 3.12 3.07 0.77 1.92 0.24 — 475 12.30 22.96 7.88 7.22 5.55 3.21 3.10 0.79 1.94 0.25 500 12.77 24.08 8.17 8.12 5.60 3.26 3.20 0.81 2.04 0.28 — 1.42 550 — — 8.99 9.66 6.16 3.93 3.52 0.98 2.25 0.33 1.57 11.34 6.72 4.70 3.84 1.16 2.46 0.39 1.71 — 600 — — 9.80 650 — — 10.62 13.16 7.28 5.50 4.16 1.34 2.66 0.46 1.85 700 — — 11.44 15.12 7.84 6.38 4.46 1.54 2.86 0.52 2.00 750 — — 12.26 17.22 8.50 7.00 4.80 1.74 3.06 0.59 2.13 800 — — — — 9.08 7.90 5.12 1.97 3.28 0.67 2.27 — 9.58 8.75 5.48 2.28 3.48 0.75 2.41 — 10.30 10.11 5.75 2.46 3.68 0.83 2.56 — 10.72 10.71 6.06 2.87 3.88 0.91 2.70 12.04 6.40 3.02 4.08 1.01 2.84 850 900 950 — — — — — — — — — 1000 — — — — 11.32 1050 — — — — 11.90 13.30 6.70 3.21 4.29 1.09 2.98 1100 — — — — 12.50 14.31 7.03 3.51 4.50 1.20 3.13 1150 — — — — 12.95 15.34 7.35 3.84 4.71 1.34 3.27 1200 — — — — 13.52 16.69 7.67 4.26 4.91 1.46 3.41 — 14.10 18.20 8.00 4.45 5.11 1.51 3.55 — 9.60 6.27 6.10 2.09 4.20 — 12.70 10.71 8.10 3.50 5.60 5.33 7.00 8.40 1250 1500 2000 — — — — — — — — — — — — — 2500 — — — — — — — — 10.10 3000 — — — — — — — — 12.10 7.42 3500 — — — — — — — — 14.10 10.08 9.80 4000 — — — — — — — — — — 11.35 4200 — — — — — — — — — — 11.93 4500 — — — — — — — — — — 12.78 5000 — — — — — — — — — — 14.20 Vel. – Velocity in Feet per Second Fric. – Friction Head in Feet 11 Pressure Drop of Water per 100 Feet of Flexible Plastic Pipe 1 ⁄2 Inch GPM 1 2 3 4 5 6 8 10 15 20 25 30 35 40 45 50 60 70 80 90 100 125 150 175 200 225 250 275 300 325 350 375 400 425 450 475 500 550 600 650 700 750 800 850 900 950 1000 1100 1200 1300 Velocity Ft./Sec. Press. Drop PSI 1.06 2.11 3.17 4.23 5.28 6.34 8.45 10.6 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 0.65 2.20 4.55 7.71 11.26 15.59 26.41 39.89 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 3 ⁄4 Inch Velocity Ft./Sec. Press. Drop PSI 0.60 1.20 1.80 2.40 3.60 4.20 4.80 6.01 9.02 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 0.14 0.49 1.04 1.65 2.43 3.25 5.20 7.93 16.81 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 1 Inch Velocity Ft./Sec. Press. Drop PSI 0.37 0.74 1.12 1.49 1.86 2.24 2.98 3.72 5.60 7.44 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 0.04 .13 .26 .44 .62 .84 1.38 2.12 4.38 7.15 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 11⁄4 Inch Velocity Ft./Sec. Press. Drop PSI — 0.43 .64 .86 1.07 1.28 1.72 2.14 3.21 4.29 5.36 6.43 7.51 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 0.04 .08 .14 .20 .28 .45 .69 1.43 2.38 3.51 4.68 6.07 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 2 Inch 11⁄2 Inch Velocity Ft./Sec. Press. Drop PSI — — 0.47 .63 .79 .95 1.26 1.57 2.36 3.15 3.94 4.72 5.51 6.30 7.08 7.87 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 0.04 .07 .10 .13 .22 .33 .67 1.10 1.65 2.25 2.86 3.68 4.38 5.16 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 3 Inch Velocity Ft./Sec. Press. Drop PSI — — — — — 0.57 .76 .96 1.43 1.91 2.39 2.87 3.35 3.82 4.30 4.78 5.74 6.69 7.65 8.60 9.56 11.95 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 0.04 .06 .10 .21 .36 .53 .73 .95 1.21 1.47 1.77 2.47 3.16 3.99 4.85 6.02 6.54 — — — — — — — — — — — — — — — — — — — — — — — — — — — — Velocity Ft./Sec. Press. Drop PSI — — — — — — — — — 0.87 1.08 1.30 1.52 1.74 1.95 2.17 2.60 3.04 3.48 3.91 4.34 5.42 6.51 7.59 8.68 9.77 10.85 11.94 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 0.05 .08 .11 .14 .18 .23 .27 .37 .48 .61 .78 .95 1.43 1.95 2.64 3.25 4.03 4.76 5.63 — — — — — — — — — — — — — — — — — — — — — — 4 Inch 6 Inch Velocity Ft./Sec. Press. Drop PS Velocity Ft./Sec. Press. Drop PSI — — — — — — — — — — — — 0.88 1.01 1.13 1.26 1.51 1.76 2.01 2.26 2.52 3.15 3.78 4.41 5.04 5.67 6.30 6.93 7.56 8.18 8.82 9.45 10.08 10.70 11.33 11.96 12.59 13.84 15.10 — — — — — — — — — — — — — — — — — — — — — — — 0.04 .05 .06 .07 .10 .13 .16 .20 .24 .38 .51 .67 .86 1.05 1.26 1.52 1.82 2.08 2.34 2.69 2.90 3.25 3.64 4.03 4.33 5.03 6.02 — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — — 1.11 1.39 1.67 1.94 2.22 2.50 2.78 3.06 3.33 3.61 3.89 4.16 4.44 4.72 5.00 5.27 5.55 6.11 6.66 7.21 7.77 8.32 8.88 9.44 10.00 10.55 11.10 12.22 13.32 14.43 — — — — — — — — — — — — — — — — — — — — 0.04 .06 .08 .10 .13 .16 .19 .23 .27 .31 .36 .40 .44 .49 .54 .60 .65 .77 .89 1.02 1.19 1.34 1.47 1.65 1.82 1.95 2.17 2.56 2.90 3.38 The value of “C” as calculated by the Hazen and Williams Pipe Formula is 140. To convert pressure from psi to feet (head) of water: ft. = 2.31 × psi. To convert pressure from feet (head) of water to psi: psi = 0.4331 × ft. Equivalent Pressure Drop of Insert Fittings Diameter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 3 Insert Adaptor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.5 2 Insert Coupling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 0.5 0.75 1 ⁄2″ ⁄4″ 1″ 11⁄4″ 11⁄2″ 2″ 3″ 4″ 6″ 2.75 3.5 4.5 6.5 9 14 1.25 1.5 2 3 4 6.25 Figures shown are equivalent length of straight pipe in feet, and are used to find pressure drop for insert fittings. 12 Bursting Pressures of Pipe Internal Fluid Pressures for Pipe Calculated by Barlow’s Formula P=2StD P=pressure, psi; t=wall thickness, in.; D=OD, in. S=tensile stress, psi for welded pipe, ultimate stress for A-Grade Seamless, for B-Grade Seamless, for C-Grade Seamless Based on Barlow’s Formula P=2f Dt D = OD, in.; t = Thickness of wall, in.; P = Pressure, in psi; f = Fiber stress, psi =50000 psi =50000 psi =60000 psi =75000 psi Standard Pipe Standard Pipe Ultimate Bursting Press., PSI Size 1 ⁄8 ″ 1 ⁄4 ″ 3 ⁄8 ″ 1 ⁄2 ″ 3 ⁄4 ″ 1″ 1 1 ⁄4 ″ 11⁄2″ 2″ 21⁄2″ 3″ 31⁄2″ 4″ 41⁄2″ 5″ 6″ 7″ 8″ 8″ 9″ 10″ 10″ 10″ 11″ 12″ 12″ External Wall Dia. .405″ .540″ .675″ .840″ 1.050″ 1.315″ 1.660″ 1.900″ 2.375″ 2.875″ 3.500″ 4.000″ 4.500″ 5.000″ 5.563″ 6.625″ 7.625″ 8.625″ 8.625″ 9.625″ 10.750″ 10.750″ 10.750″ 11.750″ 12.750″ 12.750″ Wall Thickness .068″ .088″ .091″ .109″ .113″ .133″ .140″ .145″ .154″ .203″ .216″ .226″ .237″ .247″ .258″ .280″ .301″ .277″ .322″ .342″ .279″ .307″ .365″ .375″ .330″ .375″ Welded & A-Grade Seamless 16775 16296 13481 12976 10762 10114 8434 7632 6484 7061 6171 5650 5267 4940 4638 4226 3948 3212 3733 3553 2595 2856 3395 3191 2588 2941 B-Grade Seamless 20148 19556 16178 15571 12914 12137 10120 9158 7781 8473 7406 6780 6320 5928 5565 5072 4737 3854 4480 4264 3114 3427 4074 3830 3106 3529 C-Grade Seamless 25185 24444 20222 19464 16143 15171 12651 11447 9726 10591 9257 8475 7900 7410 6957 6340 5921 4817 5600 5330 3893 4284 5093 4787 3882 4412 28148 26444 22400 21000 17600 16335 13807 12632 11015 11520 10286 9540 8987 8520 8089 7825 7869 6957 6234 5581 5106 4706 35185 33056 28000 26250 22000 20418 17259 15789 13768 14400 12857 11925 11233 10650 10111 9781 9836 8696 7792 6977 6383 5882 42000 35200 32669 27614 25263 22029 23040 20571 19080 17973 17040 16178 15650 13770 12174 52500 44000 40837 34518 31579 27537 28800 25714 23850 22467 21300 20223 19562 17213 15217 Extra Strong Pipe 1 ⁄8 ″ ⁄4 ″ 3 ⁄8 ″ 1 ⁄2 ″ 3 ⁄4 ″ 1″ 11⁄4″ 11⁄2″ 2″ 21⁄2″ 3″ 31⁄2″ 4″ 41⁄2″ 5″ 6″ 7″ 8″ 9″ 10″ 11″ 12″ 1 .405″ .540″ .675″ .840″ 1.050″ 1.315″ 1.660″ 1.900″ 2.375″ 2.875″ 3.500″ 4.000″ 4.500″ 5.000″ 5.563″ 6.625″ 7.625″ 8.625″ 9.625″ 10.750″ 11.750″ 12.750″ .095″ .119″ .126″ .147″ .154″ .179″ .191″ .200″ .218″ .276″ .300″ .318″ .337″ .355″ .375″ .432″ .500″ .500″ .500″ .500″ .500″ .500″ 23457 22037 18667 17500 14667 13612 11506 10526 9179 9600 8571 7950 7489 7100 6741 6521 6557 5797 5195 4651 4255 3922 Double Extra Strong Pipe 1 ⁄2 ″ ⁄4 ″ 1″ 11⁄4″ 11⁄2″ 2″ 21⁄2″ 3″ 31⁄2″ 4″ 41⁄2″ 5″ 6″ 7″ 8″ 3 .840″ 1.050″ 1.315″ 1.660″ 1.900″ 2.375″ 2.875″ 3.500″ 4.000″ 4.500″ 5.000″ 5.563″ 6.625″ 7.625″ 8.625″ .294″ .308″ .358″ .382″ .400″ .436″ .552″ .600″ .636″ .674″ .710″ .750″ .864″ .875″ .875″/ 35000 29333 27224 23012 21053 18358 19200 17143 15900 14978 14200 13482 13042 11475 10145 The allowable working pressure in bursting depending upon operating conditions, is determined by dividing the ultimate bursting pressure by one of the following factors of safety: Operating Conditions Factor of Safety Steady, gradually increasing pressure 4 Sudden change (0 to Max.) in pressure 6 Vehement pulsations 8 Ultimate Bursting Pressure ButtLapWeld, Weld, Fiber Fiber Stress= Stress= 40000 50000 Size PSI PSI 1 ⁄8″ 13432 — 1 ⁄4″ 13037 — 3 ⁄8″ 10785 — 1 ⁄2″ 10381 — 3 ⁄4″ 8610 — 8091 — 1″ 6747 8434 11⁄4″ 1 6105 7632 1 ⁄2″ 5187 6484 2″ 5649 7061 21⁄2″ 4937 6171 3″ — 5650 31⁄2″ — 5267 4″ — 4940 41⁄2″ — 4638 5″ — 4226 6″ 7″ — 3948 — 3212 8″ — 3733 8″ — 3553 9″ — 2595 10″ — 2856 10″ — 3395 10″ 11″ — 3191 — 2588 12″ — 2941 12″ 14″ OD — 2679 — 2500 15″ OD — 2344 16″ OD — 2312 17″ OD — 2272 18″ OD — 2045 20″ OD Pressures at Various Factors of Safety Factor of Factor of Factor of Safety=5 Safety=6 Safety=8 ButtLapButtLapButtLapWeld, Weld, Weld, Weld, Weld, Weld, Fiber Fiber Fiber Fiber Fiber Fiber Stress= Stress= Stress= Stress= Stress= Stress= 8000 10000 6667 8333 5000 6250 PSI PSI PSI PSI PSI PSI 2686 — 2239 — 1679 — 2607 — 2173 — 1630 — 2157 — 1798 — 1348 — 2076 — 1730 — 1298 — 1722 — 1435 — 1076 — 1618 — 1349 — 1011 — 1349 1687 1124 1406 843 1054 1221 1526 1018 1272 763 954 1037 1297 865 1081 648 811 1130 1412 941 1177 706 883 987 1234 823 1029 617 771 — 1130 — 942 — 706 — 1053 — 878 — 658 — 988 — 823 — 618 — 928 — 773 — 580 — 845 — 704 — 528 — 790 — 658 — 493 — 642 — 535 — 401 — 747 — 622 — 467 — 711 — 592 — 444 — 519 — 433 — 324 — 571 — 476 — 357 — 679 — 566 — 424 — 638 — 532 — 399 — 518 — 431 — 324 — 588 — 490 — 368 — 536 — 446 — 335 — 500 — 417 — 313 — 469 — 391 — 293 — 462 — 385 — 286 — 454 — 379 — 284 — 409 — 341 — 256 Extra Strong Pipe ⁄8″ 1 ⁄4″ 3 ⁄8″ 1 ⁄2″ 3 ⁄4″ 1″ 11⁄4″ 11⁄2″ 2″ 21⁄2″ 3″ 31⁄2″ 4″ 41⁄2″ 5″ 6″ 7″ 8″ 9″ 10″ 11″ 12″ 18765 17630 14933 14000 11733 10890 9205 8421 7343 7680 6857 — — — — — — — — — — — — — — — — — 11506 10526 9179 9600 8571 7950 7489 7100 6741 6521 6557 5797 5195 4651 4255 3922 ⁄2″ 3 ⁄4″ 1″ 1 1 ⁄4″ 11⁄2″ 2″ 21⁄2″ 3″ 31⁄2″ 4″ 41⁄2″ 5″ 6″ 7″ 8″ 28000 23467 21779 18410 16842 14686 15360 — — — — — — — — — — — — 21053 18358 19200 17143 15900 14978 14200 13482 13042 11475 10145 1 3753 3526 2987 2800 2347 2178 1841 1684 1469 1536 1371 — — — — — — — — — — — — — — — — — 2301 2105 1836 1920 1714 1590 1498 1420 1348 1304 1311 1159 1039 930 851 784 3128 2938 2489 2333 1956 1815 1534 1404 1224 1280 1143 — — — — — — — — — — — — — — — — — 1918 1754 1530 1600 1429 1325 1248 1183 1124 1087 1093 966 866 775 709 654 2346 2204 1867 1750 1467 1361 1151 1053 918 960 857 — — — — — — — — — — — — — — — — — 1438 1316 1147 1200 1071 994 936 888 843 815 820 725 649 581 532 490 3500 2933 2722 2301 2105 1836 1920 — — — — — — — — — — — — 2632 2295 2400 2143 1988 1872 1775 1685 1630 1434 1268 Double Extra Strong Pipe 1 5600 4693 4356 3682 3368 2937 3072 — — — — — — — — — — — — 4211 3672 3840 3429 3180 2996 2840 2696 2608 2295 2029 4667 3911 3630 3068 2807 2448 2560 — — — — — — — — — — — — 3509 3060 3200 2857 2650 2496 2367 2247 2174 1913 1691 13 14 15
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