diff --git a/Makefile b/Makefile new file mode 100644 index 0000000..c6a7bd7 --- /dev/null +++ b/Makefile @@ -0,0 +1,18 @@ +.PHONY: design +design: clean + touch design/THREAD_TABLE.csv + cat design/BSPP_thread.csv | awk -f design/BSPP_thread.awk >> design/THREAD_TABLE.csv + cat design/metric_thread.csv | awk -f design/metric_thread.awk >> design/THREAD_TABLE.csv + cat design/PCO_thread.csv | awk -f design/PCO_thread.awk >> design/THREAD_TABLE.csv + cat design/UIS_thread.csv | awk -f design/UIS_thread.awk >> design/THREAD_TABLE.csv + cat design/THREAD_TABLE.csv | awk -f design/autogenerate.awk > THREAD_TABLE.scad + +.PHONY: test +test: + @$(MAKE) -C tests + +.PHONY: clean +clean: + rm -f THREAD_TABLE.scad + rm -f design/THREAD_TABLE.csv + diff --git a/README.rst b/README.rst index 9c98d46..6333850 100644 --- a/README.rst +++ b/README.rst @@ -27,7 +27,6 @@ Creating a thread is as simple as to create a British Standard Pipe parallel external thread. -================================== Why you may want to use threadlib ================================== @@ -36,11 +35,13 @@ Why you may want to use threadlib - configurable higbee arc - creates working threads (clearances are left for production tolerances) - flexible: + - choose the $fn you need to fit the rest of your design - let threadlib tell you the thread specs so you can do with them what *you* want - extensible: Add your own threads -- tried and tested in the real world: Um no, not yet. But with your help, it - will soon be. +- tried and tested in the real world: Well, partly. Given the sheer number of + threads, this is only possible with *your* help! Any feedback regarding working + (or not working) threadlib-threads is appreciated. Installation @@ -62,6 +63,10 @@ Clone threadlib into the folder 'threadlib' inside your OpenSCAD library folder Usage =========================== +Before you start: threadlib is designed in millimeters (not meters, not inches). +Make sure that your units are set accordingly or scale the output of threadlib +to match the units you use in your project! + To create a bolt (without head) with 5 turns of M4 thread: .. code-block:: OpenSCAD @@ -147,6 +152,9 @@ for addition to threadlib! Change Log =========================== +- 0.3: Unified Inch Screw Threads (UNC, UNF, UNEF, 4-UN, 6-UN, 8-UN, 12-UN, + 16-UN, 20-UN, 28-UN, and 32-UN. Fixed problem with PCO-1881-int. Fixed problem + with G-ext threads . New build system. - 0.2: `Metric threads `__, `PCO-1881 `__ - 0.1: Initial release supporting `BSP parallel thread `__ diff --git a/THREAD_TABLE.scad b/THREAD_TABLE.scad index cbef0b8..e88f948 100644 --- a/THREAD_TABLE.scad +++ b/THREAD_TABLE.scad @@ -1,1048 +1,1830 @@ /* This script is auto-generated - do not edit :License: 3-clause BSD. See LICENSE. */ -THREAD_TABLE = [["G1/16-int", [0.907, 3.97888486, 7.921471162, [[0, 0.42515625], [0, -0.42515625], [-0.560841406, -0.12426807], [-0.560841406, 0.12426807 ]]]], -["G1/8-int", [0.907, 4.98138486, 9.926471162, [[0, 0.42515625], [0, -0.42515625], [-0.560841406, -0.12426807], [-0.560841406, 0.12426807 ]]]], -["G1/4-int", [1.337, 6.743577241, 13.43364713, [[0, 0.62671875], [0, -0.62671875], [-0.826730937, -0.18318237], [-0.826730937, 0.18318237 ]]]], -["G3/8-int", [1.337, 8.496077241, 16.93864713, [[0, 0.62671875], [0, -0.62671875], [-0.826730937, -0.18318237], [-0.826730937, 0.18318237 ]]]], -["G1/2-int", [1.814, 10.69426972, 21.31594232, [[0, 0.8503125], [0, -0.8503125], [-1.121682812, -0.24853614], [-1.121682812, 0.24853614 ]]]], -["G5/8-int", [1.814, 11.67226972, 23.27194232, [[0, 0.8503125], [0, -0.8503125], [-1.121682812, -0.24853614], [-1.121682812, 0.24853614 ]]]], -["G3/4-int", [1.814, 13.43726972, 26.80194232, [[0, 0.8503125], [0, -0.8503125], [-1.121682812, -0.24853614], [-1.121682812, 0.24853614 ]]]], -["G7/8-int", [1.814, 15.31726972, 30.56194232, [[0, 0.8503125], [0, -0.8503125], [-1.121682812, -0.24853614], [-1.121682812, 0.24853614 ]]]], -["G1-int", [2.309, 16.90027607, 33.70814489, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G1 1/8-int", [2.309, 19.22427607, 38.35614489, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G1 1/4-int", [2.309, 21.23077607, 42.36914489, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G1 1/2-int", [2.309, 24.17727607, 48.26214489, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G1 3/4-int", [2.309, 27.14877607, 54.20514489, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G2-int", [2.309, 30.08277607, 60.07314489, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G2 1/4-int", [2.309, 33.14002607, 66.18764489, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G2 1/2-int", [2.309, 37.87702607, 75.66164489, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G2 3/4-int", [2.309, 41.05202607, 82.01164489, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G3-int", [2.309, 44.22702607, 88.36164489, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G3 1/2-int", [2.309, 50.45002607, 100.8076449, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G4-int", [2.309, 56.80002607, 113.5076449, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G4 1/2-int", [2.309, 63.15002607, 126.2076449, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G5-int", [2.309, 69.50002607, 138.9076449, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G5 1/2-int", [2.309, 75.85002607, 151.6076449, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G6-int", [2.309, 82.20002607, 164.3076449, [[0, 1.08234375], [0, -1.08234375], [-1.427764947, -0.31635609], [-1.427764947, 0.31635609 ]]]], -["G1/16-ext", [0.907, 3.21661514, 6.469528838, [[0, -0.42515625], [0, 0.42515625], [0.578008291, 0.12426807], [0.578008291, -0.12426807 ]]]], -["G1/8-ext", [0.907, 4.21911514, 8.474528838, [[0, -0.42515625], [0, 0.42515625], [0.578008291, 0.12426807], [0.578008291, -0.12426807 ]]]], -["G1/4-ext", [1.337, 5.619922759, 11.29335287, [[0, -0.62671875], [0, 0.62671875], [0.852036477, 0.18318237], [0.852036477, -0.18318237 ]]]], -["G3/8-ext", [1.337, 7.372422759, 14.79835287, [[0, -0.62671875], [0, 0.62671875], [0.852036477, 0.18318237], [0.852036477, -0.18318237 ]]]], -["G1/2-ext", [1.814, 9.16973028, 18.41205768, [[0, -0.8503125], [0, 0.8503125], [1.156016582, 0.24853614], [1.156016582, -0.24853614 ]]]], -["G5/8-ext", [1.814, 10.14773028, 20.36805768, [[0, -0.8503125], [0, 0.8503125], [1.156016582, 0.24853614], [1.156016582, -0.24853614 ]]]], -["G3/4-ext", [1.814, 11.91273028, 23.89805768, [[0, -0.8503125], [0, 0.8503125], [1.156016582, 0.24853614], [1.156016582, -0.24853614 ]]]], -["G7/8-ext", [1.814, 13.79273028, 27.65805768, [[0, -0.8503125], [0, 0.8503125], [1.156016582, 0.24853614], [1.156016582, -0.24853614 ]]]], -["G1-ext", [2.309, 14.95972393, 30.01185511, [[0, -1.08234375], [0, 1.08234375], [1.471467634, 0.31635609], [1.471467634, -0.31635609 ]]]], -["G1 1/8-ext", [2.309, 17.28372393, 34.65985511, [[0, -1.08234375], [0, 1.08234375], [1.471467634, 0.31635609], [1.471467634, -0.31635609 ]]]], -["G1 1/4-ext", [2.309, 19.29022393, 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42.28647393, 84.66535511, [[0, -1.08234375], [0, 1.08234375], [1.471467634, 0.31635609], [1.471467634, -0.31635609 ]]]], -["G3 1/2-ext", [2.309, 48.50947393, 97.11135511, [[0, -1.08234375], [0, 1.08234375], [1.471467634, 0.31635609], [1.471467634, -0.31635609 ]]]], -["G4-ext", [2.309, 54.85947393, 109.8113551, [[0, -1.08234375], [0, 1.08234375], [1.471467634, 0.31635609], [1.471467634, -0.31635609 ]]]], -["G4 1/2-ext", [2.309, 61.20947393, 122.5113551, [[0, -1.08234375], [0, 1.08234375], [1.471467634, 0.31635609], [1.471467634, -0.31635609 ]]]], -["G5-ext", [2.309, 67.55947393, 135.2113551, [[0, -1.08234375], [0, 1.08234375], [1.471467634, 0.31635609], [1.471467634, -0.31635609 ]]]], -["G5 1/2-ext", [2.309, 73.90947393, 147.9113551, [[0, -1.08234375], [0, 1.08234375], [1.471467634, 0.31635609], [1.471467634, -0.31635609 ]]]], -["G6-ext", [2.309, 80.25947393, 160.6113551, [[0, -1.08234375], [0, 1.08234375], [1.471467634, 0.31635609], [1.471467634, -0.31635609 ]]]], -["PCO-1881-ext", [2.7, 11.52381, 24.2, [[0, -1.975789396], [0, 0], [2.17619, -0.383721012], [2.17619, -1.183721012 ]]]], -["PCO-1881-int", [2.7, 13.91, 27.66, [[0, 0], [0, 1.975789396], [-2.17619, 1.183721012], [-2.17619, 0.383721012 ]]]], -["M0.25x0.075-ext", [0.075, 0.07, 0.15, [[0, -0.032750744], [0, 0.032750744], [0.05125, 0.004749256], [0.05125, -0.004749256 ]]]], -["M0.3x0.08-ext", [0.08, 0.0915, 0.1935, [[0, -0.034722432], [0, 0.034722432], [0.0545, 0.005277568], [0.0545, -0.005277568 ]]]], -["M0.3x0.09-ext", [0.09, 0.085, 0.181, [[0, -0.03909882], [0, 0.03909882], [0.06075, 0.00590118], [0.06075, -0.00590118 ]]]], -["M0.35x0.09-ext", [0.09, 0.11, 0.231, [[0, -0.038954483], [0, 0.038954483], [0.06075, 0.006045517], [0.06075, -0.006045517 ]]]], -["M0.4x0.1-ext", [0.1, 0.128, 0.268, [[0, -0.043475209], [0, 0.043475209], [0.0675, 0.006524791], [0.0675, -0.006524791 ]]]], -["M0.45x0.1-ext", [0.1, 0.153, 0.318, [[0, -0.043475209], [0, 0.043475209], [0.0675, 0.006524791], [0.0675, -0.006524791 ]]]], 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0.798519423 ]]]], -["M480x6-int", [6, 240.67, 480.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M490x6-int", [6, 245.67, 490.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M500x6-int", [6, 250.67, 500.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M510x6-int", [6, 255.67, 510.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M520x6-int", [6, 260.67, 520.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M530x6-int", [6, 265.67, 530.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M540x6-int", [6, 270.67, 540.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M550x6-int", [6, 275.67, 550.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M560x6-int", [6, 280.67, 560.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M570x6-int", [6, 285.67, 570.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M580x6-int", [6, 290.67, 580.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M590x6-int", [6, 295.67, 590.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423 ]]]], -["M600x6-int", [6, 300.67, 600.67, [[0, 2.943375673], [0, -2.943375673], [-3.715, -0.798519423], [-3.715, 0.798519423]]]], +THREAD_TABLE = [["G1/16-ext", [0.907, 3.1631, 6.3625, [[0, -0.4252], [0, 0.4252], [0.5710, 0.1279], [0.5710, -0.1279]]]], +["G1/16-int", [0.907, -3.9789, 7.9215, [[0, 0.4252], [0, -0.4252], [0.5540, -0.1368], [0.5540, 0.1368]]]], +["G1/8-ext", [0.907, 4.1656, 8.3675, [[0, -0.4252], [0, 0.4252], [0.5710, 0.1279], [0.5710, -0.1279]]]], +["G1/8-int", [0.907, 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Designator = $1; + P = $3; + H = P / 2 / tan(phi / 2); + DMax = $5; + DPitch = $6; + DMin = $7; + DPitchInt = DPitch + $9 / 2; + DPitchExt = DPitch + $10 / 2; + DMinInt = DMin + $14 / 2; + DMaxExt = DMax + $15 / 2; + DSupportExt = DPitchExt - 2 * 5 / 12 * H; + DSupportInt = DPitchInt + 2 * 5 / 12 * H; + DValleyExt = DPitchExt - 2 * 5 / 12 * H * qOverlap; + DValleyInt = DPitchInt + 2 * 5 / 12 * H * qOverlap; + DCrestExt = DMaxExt - tan((pi + phi) / 4) / 6 * (1 - sin(phi / 2)); + DCrestInt = DMinInt + tan((pi + phi) / 4) / 6 * (1 - sin(phi / 2)); + ZValley = 0.03125 * P; + ZCrestExt = (DPitchExt + H - DCrestExt) / 2 * tan(phi / 2); + ZCrestInt = (DCrestInt - DPitchInt + H) / 2 * tan(phi / 2); +} + +BEGIN { + FS = "\t"; + pi = atan2(0, -1); + deg = pi / 180; + phi = 55 * deg; + qOverlap = 1.05; +} + +/^[^#]/ { + calculateThreadlibSpecs(); + + # External thread: + printf "G" Designator "-ext," # designator + printf P "," # pitch + printf "%.4f,", DValleyExt / 2 # Rrot + printf "%.4f,", DSupportExt # Dsupport + printf 0 "," # r0 + printf "%.4f,", -P / 2 + ZValley # z0 + printf 0 "," # r1 + printf "%.4f,", +P / 2 - ZValley # z1 + printf "%.4f,", (DCrestExt - DValleyExt) / 2 # r2 + printf "%.4f,", +ZCrestExt # z2 + printf "%.4f,", (DCrestExt - DValleyExt) / 2 # r3 + printf "%.4f\n", -ZCrestExt; # z3 + + # Internal thread: + printf "G" Designator "-int," # designator + printf P "," # pitch + printf "%.4f,", -DValleyInt / 2 # Rrot + printf "%.4f,", DSupportInt # Dsupport + printf 0 "," # r0 + printf "%.4f,", +P / 2 - ZValley # z0 + printf 0 "," # r1 + printf "%.4f,", -P / 2 + ZValley # z1 + printf "%.4f,", -(DCrestInt - DValleyInt) / 2 # r2 + printf "%.4f,", -ZCrestInt # z2 + printf "%.4f,", -(DCrestInt - DValleyInt) / 2 # r3 + printf "%.4f\n", +ZCrestInt; # z3 +} + diff --git a/design/BSPP_thread.csv b/design/BSPP_thread.csv new file mode 100644 index 0000000..f429b09 --- /dev/null +++ b/design/BSPP_thread.csv @@ -0,0 +1,29 @@ +# Tolerances on pitch diametera Tolerance on minor diameter Tolerance on major diameter +# Tolerances Pitch Diameters Tol. min. Dia. Tol. maj. Dia +# Diameters Int thread TD2 Ext thread Td2 Int thread TD1 Ext thread Td +#Desig TPI Pitch h d=D d2=D2 d1=D1 -Delta +Delta -Delta -Delta +Delta -Delta +Delta -Delta +Delta +#http://mdmetric.com/tech/thddat7.htm +1/16 28 0.907 0.581 7.723 7.142 6.561 0 0.107 -0.107 -0.214 0 0 0.282 -0.214 0 +1/8 28 0.907 0.581 9.728 9.147 8.566 0 0.107 -0.107 -0.214 0 0 0.282 -0.214 0 +1/4 19 1.337 0.856 13.157 12.301 11.445 0 0.125 -0.125 -0.25 0 0 0.445 -0.25 0 +3/8 19 1.337 0.856 16.662 15.806 14.95 0 0.125 -0.125 -0.25 0 0 0.445 -0.25 0 +1/2 14 1.814 1.162 20.955 19.793 18.631 0 0.142 -0.142 -0.284 0 0 0.541 -0.284 0 +5/8 14 1.814 1.162 22.911 21.749 20.587 0 0.142 -0.142 -0.284 0 0 0.541 -0.284 0 +3/4 14 1.814 1.162 26.441 25.279 24.117 0 0.142 -0.142 -0.284 0 0 0.541 -0.284 0 +7/8 14 1.814 1.162 30.201 29.039 27.877 0 0.142 -0.142 -0.284 0 0 0.541 -0.284 0 +1 11 2.309 1.479 33.249 31.77 30.291 0 0.18 -0.18 -0.36 0 0 0.64 -0.36 0 +1 1/8 11 2.309 1.479 37.897 36.418 34.939 0 0.18 -0.18 -0.36 0 0 0.64 -0.36 0 +1 1/4 11 2.309 1.479 41.91 40.431 38.952 0 0.18 -0.18 -0.36 0 0 0.64 -0.36 0 +1 1/2 11 2.309 1.479 47.803 46.324 44.845 0 0.18 -0.18 -0.36 0 0 0.64 -0.36 0 +1 3/4 11 2.309 1.479 53.746 52.267 50.788 0 0.18 -0.18 -0.36 0 0 0.64 -0.36 0 +2 11 2.309 1.479 59.614 58.135 56.656 0 0.18 -0.18 -0.36 0 0 0.64 -0.36 0 +2 1/4 11 2.309 1.479 65.71 64.231 62.752 0 0.217 -0.217 -0.434 0 0 0.64 -0.434 0 +2 1/2 11 2.309 1.479 75.184 73.705 72.226 0 0.217 -0.217 -0.434 0 0 0.64 -0.434 0 +2 3/4 11 2.309 1.479 81.534 80.055 78.576 0 0.217 -0.217 -0.434 0 0 0.64 -0.434 0 +3 11 2.309 1.479 87.884 86.405 84.926 0 0.217 -0.217 -0.434 0 0 0.64 -0.434 0 +3 1/2 11 2.309 1.479 100.33 98.851 97.372 0 0.217 -0.217 -0.434 0 0 0.64 -0.434 0 +4 11 2.309 1.479 113.03 111.551 110.072 0 0.217 -0.217 -0.434 0 0 0.64 -0.434 0 +4 1/2 11 2.309 1.479 125.73 124.251 122.772 0 0.217 -0.217 -0.434 0 0 0.64 -0.434 0 +5 11 2.309 1.479 138.43 136.951 135.472 0 0.217 -0.217 -0.434 0 0 0.64 -0.434 0 +5 1/2 11 2.309 1.479 151.13 149.651 148.172 0 0.217 -0.217 -0.434 0 0 0.64 -0.434 0 +6 11 2.309 1.479 163.83 162.351 160.872 0 0.217 -0.217 -0.434 0 0 0.64 -0.434 0 diff --git a/design/PCO_thread.awk b/design/PCO_thread.awk new file mode 100644 index 0000000..3536b9d --- /dev/null +++ b/design/PCO_thread.awk @@ -0,0 +1,4 @@ +/^[^#]/ { + print $0; +} + diff --git a/design/PCO_thread.csv b/design/PCO_thread.csv new file mode 100644 index 0000000..17cf516 --- /dev/null +++ b/design/PCO_thread.csv @@ -0,0 +1,3 @@ +# Designator,Pitch,Rrot,Dsupport,r0,z0,r1,z1,r2,z2,r3,z3 +PCO-1881-ext,2.7,11.52381,24.2,0,-0.987894698,0,0.987894698,2.17619,0.604173686,2.17619,-0.195826314 +PCO-1881-int,2.7,-14.406,27.66,0,1.212894698,0,-0.762894698,1.656,-0.470897218,1.656,0.610159990 diff --git a/design/UIS_thread.awk b/design/UIS_thread.awk new file mode 100644 index 0000000..6400912 --- /dev/null +++ b/design/UIS_thread.awk @@ -0,0 +1,100 @@ +function tan(x) { + return(sin(x) / cos(x)) +} + +function min(x, y) { + if (x < y) return(x) + else return(y) +} + +function calculateThreadlibSpecs() { + Designator = $1; + TPI = $2; + D = $3; + P = 1 / TPI; + H = P / 2 / tan(phi / 2); + basicPitchD = D - 3 / 4 * H; + + nfields = split(Designator, fields, "_"); + tp = fields[1]; + if (nfields > 2) + tp = tp "-" fields[2] + + if (tp=="UNC" || tp=="UNF" || tp=="4-UN" || tp=="6-UN" || tp=="8-UN") + LE = D; + else + LE = 9 * P; + + # external thread: + tolPitchD = 0.0015 * D**(1/3) + 0.0015 * sqrt(LE) + 0.015 * P**(2/3); + maxPitchD = basicPitchD - 0.300 * tolPitchD; + minPitchD = maxPitchD - tolPitchD; + centerPitchD = 0.5 * (minPitchD + maxPitchD); + RrotExt = centerPitchD / 2 - H / 4; + DSupportExt = 2 * RrotExt + 0.01 * H ; + RrotExt = RrotExt * inch; + DSupportExt = DSupportExt * inch; + + dzCrestExt = P / 16 * inch; + dzRootExt = 3 / 8 * P * inch; + drRootExt = 0.; + drCrestExt = 5 / 8 * H * inch; + + # internal thread: + tolPitchD = 1.300 * tolPitchD; + minPitchD = basicPitchD; + maxPitchD = minPitchD + tolPitchD; + centerPitchD = 0.5 * (minPitchD + maxPitchD); + RrotInt = -((centerPitchD + H) / 2 - H / 8); + DSupportInt = -2 * RrotInt - 0.01 * H; + RrotInt = RrotInt * inch; + DSupportInt = DSupportInt * inch; + + dzCrestInt = P / 8 * inch; + dzRootInt = 7 / 16 * P * inch; + drRootInt = 0.; + drCrestInt = 5 / 8 * H * inch; + + P = P * inch; +} + +BEGIN { + FS = "\t"; + pi = atan2(0, -1); + deg = pi / 180; + phi = 60 * deg; + inch = 25.4; +} + +/^[^#]/ { + calculateThreadlibSpecs(); + + # External thread: + printf Designator "-ext," # designator + printf P "," # pitch + printf "%.4f,", RrotExt # Rrot + printf "%.4f,", DSupportExt # Dsupport + printf drRootExt "," # r0 + printf "%.4f,", -dzRootExt # z0 + printf drRootExt "," # r1 + printf "%.4f,", +dzRootExt # z1 + printf "%.4f,", drCrestExt # r2 + printf "%.4f,", +dzCrestExt # z2 + printf "%.4f,", drCrestExt # r3 + printf "%.4f\n", -dzCrestExt; # z3 + + # Internal thread: + printf Designator "-int," # designator + printf P "," # pitch + printf "%.4f,", RrotInt # Rrot + printf "%.4f,", DSupportInt # Dsupport + printf drRootInt "," # r0 + printf "%.4f,", +dzRootInt # z0 + printf drRootInt "," # r1 + printf "%.4f,", -dzRootInt # z1 + printf "%.4f,", drCrestInt # r2 + printf "%.4f,", -dzCrestInt # z2 + printf "%.4f,", drCrestInt # r3 + printf "%.4f\n", +dzCrestInt; # z3 +} + diff --git a/design/UIS_thread.csv b/design/UIS_thread.csv new file mode 100644 index 0000000..c24c0b6 --- /dev/null +++ b/design/UIS_thread.csv @@ -0,0 +1,392 @@ +# designator TPI D +UNC-#1 64 0.0730 +UNC-#2 56 0.0860 +UNC-#3 48 0.0990 +UNC-#4 40 0.1120 +UNC-#5 40 0.1250 +UNC-#6 32 0.1380 +UNC-#8 32 0.1640 +UNC-#10 24 0.1900 +UNC-#12 24 0.2160 +UNC-1/4 20 0.2500 +UNC-5/16 18 0.3125 +UNC-3/8 16 0.3750 +UNC-7/16 14 0.4375 +UNC-1/2 13 0.5000 +UNC-9/16 12 0.5625 +UNC-5/8 11 0.6250 +UNC-3/4 10 0.7500 +UNC-7/8 9 0.8750 +UNC-1 8 1.0000 +UNC-1 1/8 7 1.1250 +UNC-1 1/4 7 1.2500 +UNC-1 3/8 6 1.3750 +UNC-1 1/2 6 1.5000 +UNC-1 3/4 5 1.7500 +UNC-2 4 2.0000 +UNC-2 1/4 4 2.2500 +UNC-2 1/2 4 2.5000 +UNC-2 3/4 4 2.7500 +UNC-3 4 3.0000 +UNC-3 1/4 4 3.2500 +UNC-3 1/2 4 3.5000 +UNC-3 3/4 4 3.7500 +UNC-4 4 4.0000 +UNF-#0 80 0.0600 +UNF-#1 72 0.0730 +UNF-#2 64 0.0860 +UNF-#3 56 0.0990 +UNF-#4 48 0.1120 +UNF-#5 44 0.1250 +UNF-#6 40 0.1380 +UNF-#8 36 0.1640 +UNF-#10 32 0.1900 +UNF-#12 28 0.2160 +UNF-1/4 28 0.2500 +UNF-5/16 24 0.3125 +UNF-3/8 24 0.3750 +UNF-7/16 20 0.4375 +UNF-1/2 20 0.5000 +UNF-9/16 18 0.5625 +UNF-5/8 18 0.6250 +UNF-3/4 16 0.7500 +UNF-7/8 14 0.8750 +UNF-1 12 1.0000 +UNF-1 1/8 12 1.1250 +UNF-1 1/4 12 1.2500 +UNF-1 3/8 12 1.3750 +UNF-1 1/2 12 1.5000 +UNEF-#12 32 0.2160 +UNEF-1/4 32 0.2500 +UNEF-5/16 32 0.3125 +UNEF-3/8 32 0.3750 +UNEF-7/16 28 0.4375 +UNEF-1/2 28 0.5000 +UNEF-9/16 24 0.5625 +UNEF-5/8 24 0.6250 +UNEF-11/16 24 0.6875 +UNEF-3/4 20 0.7500 +UNEF-13/16 20 0.8125 +UNEF-7/8 20 0.8750 +UNEF-15/16 20 0.9375 +UNEF-1 20 1.0000 +UNEF-1 1/16 18 1.0625 +UNEF-1 1/8 18 1.1250 +UNEF-1 3/16 18 1.1875 +UNEF-1 1/4 18 1.2500 +UNEF-1 5/16 18 1.3125 +UNEF-1 3/8 18 1.3750 +UNEF-1 7/16 18 1.4375 +UNEF-1 1/2 18 1.5000 +UNEF-1 9/16 18 1.5625 +UNEF-1 5/8 18 1.6250 +UNEF-1 11/16 18 1.6875 +4-UN-2 1/2 4 2.5000 +4-UN-2 5/8 4 2.6250 +4-UN-2 3/4 4 2.7500 +4-UN-2 7/8 4 2.8750 +4-UN-3 4 3.0000 +4-UN-3 1/8 4 3.1250 +4-UN-3 1/4 4 3.2500 +4-UN-3 3/8 4 3.3750 +4-UN-3 1/2 4 3.5000 +4-UN-3 5/8 4 3.6250 +4-UN-3 3/4 4 3.7500 +4-UN-3 7/8 4 3.8750 +4-UN-4 4 4.0000 +4-UN-4 1/8 4 4.1250 +4-UN-4 1/4 4 4.2500 +4-UN-4 3/8 4 4.3750 +4-UN-4 1/2 4 4.5000 +4-UN-4 5/8 4 4.6250 +4-UN-4 3/4 4 4.7500 +4-UN-4 7/8 4 4.8750 +4-UN-5 4 5.0000 +4-UN-5 1/8 4 5.1250 +4-UN-5 1/4 4 5.2500 +4-UN-5 3/8 4 5.3750 +4-UN-5 1/2 4 5.5000 +4-UN-5 5/8 4 5.6250 +4-UN-5 3/4 4 5.7500 +4-UN-5 7/8 4 5.8750 +4-UN-6 4 6.0000 +6-UN-1 3/8 6 1.3750 +6-UN-1 7/16 6 1.4375 +6-UN-1 1/2 6 1.5000 +6-UN-1 9/16 6 1.5625 +6-UN-1 5/8 6 1.6250 +6-UN-1 11/16 6 1.6875 +6-UN-1 3/4 6 1.7500 +6-UN-1 13/16 6 1.8125 +6-UN-1 7/8 6 1.8750 +6-UN-1 15/16 6 1.9375 +6-UN-2 6 2.0000 +6-UN-2 1/8 6 2.1250 +6-UN-2 1/4 6 2.2500 +6-UN-2 3/8 6 2.3750 +6-UN-2 1/2 6 2.5000 +6-UN-2 5/8 6 2.6250 +6-UN-2 3/4 6 2.7500 +6-UN-2 7/8 6 2.8750 +6-UN-3 6 3.0000 +6-UN-3 1/8 6 3.1250 +6-UN-3 1/4 6 3.2500 +6-UN-3 3/8 6 3.3750 +6-UN-3 1/2 6 3.5000 +6-UN-3 5/8 6 3.6250 +6-UN-3 3/4 6 3.7500 +6-UN-3 7/8 6 3.8750 +6-UN-4 6 4.0000 +6-UN-4 1/8 6 4.1250 +6-UN-4 1/4 6 4.2500 +6-UN-4 3/8 6 4.3750 +6-UN-4 1/2 6 4.5000 +6-UN-4 5/8 6 4.6250 +6-UN-4 3/4 6 4.7500 +6-UN-4 7/8 6 4.8750 +6-UN-5 6 5.0000 +6-UN-5 1/8 6 5.1250 +6-UN-5 1/4 6 5.2500 +6-UN-5 3/8 6 5.3750 +6-UN-5 1/2 6 5.5000 +6-UN-5 5/8 6 5.6250 +6-UN-5 3/4 6 5.7500 +6-UN-5 7/8 6 5.8750 +6-UN-6 6 6.0000 +8-UN-1 8 1.0000 +8-UN-1 1/16 8 1.0625 +8-UN-1 1/8 8 1.1250 +8-UN-1 3/16 8 1.1875 +8-UN-1 1/4 8 1.2500 +8-UN-1 5/16 8 1.3125 +8-UN-1 3/8 8 1.3750 +8-UN-1 7/16 8 1.4375 +8-UN-1 1/2 8 1.5000 +8-UN-1 9/16 8 1.5625 +8-UN-1 5/8 8 1.6250 +8-UN-1 11/16 8 1.6875 +8-UN-1 3/4 8 1.7500 +8-UN-1 13/16 8 1.8125 +8-UN-1 7/8 8 1.8750 +8-UN-1 15/16 8 1.9375 +8-UN-2 8 2.0000 +8-UN-2 1/8 8 2.1250 +8-UN-2 1/4 8 2.2500 +8-UN-2 3/8 8 2.3750 +8-UN-2 1/2 8 2.5000 +8-UN-2 5/8 8 2.6250 +8-UN-2 3/4 8 2.7500 +8-UN-2 7/8 8 2.8750 +8-UN-3 8 3.0000 +8-UN-3 1/8 8 3.1250 +8-UN-3 1/4 8 3.2500 +8-UN-3 3/8 8 3.3750 +8-UN-3 1/2 8 3.5000 +8-UN-3 5/8 8 3.6250 +8-UN-3 3/4 8 3.7500 +8-UN-3 7/8 8 3.8750 +8-UN-4 8 4.0000 +8-UN-4 1/8 8 4.1250 +8-UN-4 1/4 8 4.2500 +8-UN-4 3/8 8 4.3750 +8-UN-4 1/2 8 4.5000 +8-UN-4 5/8 8 4.6250 +8-UN-4 3/4 8 4.7500 +8-UN-4 7/8 8 4.8750 +8-UN-5 8 5.0000 +8-UN-5 1/8 8 5.1250 +8-UN-5 1/4 8 5.2500 +8-UN-5 3/8 8 5.3750 +8-UN-5 1/2 8 5.5000 +8-UN-5 5/8 8 5.6250 +8-UN-5 3/4 8 5.7500 +8-UN-5 7/8 8 5.8750 +8-UN-6 8 6.0000 +12-UN-9/16 12 0.5625 +12-UN-5/8 12 0.6250 +12-UN-11/16 12 0.6875 +12-UN-3/4 12 0.7500 +12-UN-13/16 12 0.8125 +12-UN-7/8 12 0.8750 +12-UN-15/16 12 0.9375 +12-UN-1 12 1.0000 +12-UN-1 1/16 12 1.0625 +12-UN-1 1/8 12 1.1250 +12-UN-1 3/16 12 1.1875 +12-UN-1 1/4 12 1.2500 +12-UN-1 5/16 12 1.3125 +12-UN-1 3/8 12 1.3750 +12-UN-1 7/16 12 1.4375 +12-UN-1 1/2 12 1.5000 +12-UN-1 9/16 12 1.5625 +12-UN-1 5/8 12 1.6250 +12-UN-1 11/16 12 1.6875 +12-UN-1 3/4 12 1.7500 +12-UN-1 13/16 12 1.8125 +12-UN-1 7/8 12 1.8750 +12-UN-1 15/16 12 1.9375 +12-UN-2 12 2.0000 +12-UN-2 1/8 12 2.1250 +12-UN-2 1/4 12 2.2500 +12-UN-2 3/8 12 2.3750 +12-UN-2 1/2 12 2.5000 +12-UN-2 5/8 12 2.6250 +12-UN-2 3/4 12 2.7500 +12-UN-2 7/8 12 2.8750 +12-UN-3 12 3.0000 +12-UN-3 1/8 12 3.1250 +12-UN-3 1/4 12 3.2500 +12-UN-3 3/8 12 3.3750 +12-UN-3 1/2 12 3.5000 +12-UN-3 5/8 12 3.6250 +12-UN-3 3/4 12 3.7500 +12-UN-3 7/8 12 3.8750 +12-UN-4 12 4.0000 +12-UN-4 1/8 12 4.1250 +12-UN-4 1/4 12 4.2500 +12-UN-4 3/8 12 4.3750 +12-UN-4 1/2 12 4.5000 +12-UN-4 5/8 12 4.6250 +12-UN-4 3/4 12 4.7500 +12-UN-4 7/8 12 4.8750 +12-UN-5 12 5.0000 +12-UN-5 1/8 12 5.1250 +12-UN-5 1/4 12 5.2500 +12-UN-5 3/8 12 5.3750 +12-UN-5 1/2 12 5.5000 +12-UN-5 5/8 12 5.6250 +12-UN-5 3/4 12 5.7500 +12-UN-5 7/8 12 5.8750 +12-UN-6 12 6.0000 +16-UN-3/8 16 0.3750 +16-UN-7/16 16 0.4375 +16-UN-1/2 16 0.5000 +16-UN-9/16 16 0.5625 +16-UN-5/8 16 0.6250 +16-UN-11/16 16 0.6875 +16-UN-3/4 16 0.7500 +16-UN-13/16 16 0.8125 +16-UN-7/8 16 0.8750 +16-UN-15/16 16 0.9375 +16-UN-1 16 1.0000 +16-UN-1 1/16 16 1.0625 +16-UN-1 1/8 16 1.1250 +16-UN-1 3/16 16 1.1875 +16-UN-1 1/4 16 1.2500 +16-UN-1 5/16 16 1.3125 +16-UN-1 3/8 16 1.3750 +16-UN-1 7/16 16 1.4375 +16-UN-1 1/2 16 1.5000 +16-UN-1 9/16 16 1.5625 +16-UN-1 5/8 16 1.6250 +16-UN-1 11/16 16 1.6875 +16-UN-1 3/4 16 1.7500 +16-UN-1 13/16 16 1.8125 +16-UN-1 7/8 16 1.8750 +16-UN-1 15/16 16 1.9375 +16-UN-2 16 2.0000 +16-UN-2 1/8 16 2.1250 +16-UN-2 1/4 16 2.2500 +16-UN-2 3/8 16 2.3750 +16-UN-2 1/2 16 2.5000 +16-UN-2 5/8 16 2.6250 +16-UN-2 3/4 16 2.7500 +16-UN-2 7/8 16 2.8750 +16-UN-3 16 3.0000 +16-UN-3 1/8 16 3.1250 +16-UN-3 1/4 16 3.2500 +16-UN-3 3/8 16 3.3750 +16-UN-3 1/2 16 3.5000 +16-UN-3 5/8 16 3.6250 +16-UN-3 3/4 16 3.7500 +16-UN-3 7/8 16 3.8750 +16-UN-4 16 4.0000 +16-UN-4 1/8 16 4.1250 +16-UN-4 1/4 16 4.2500 +16-UN-4 3/8 16 4.3750 +16-UN-4 1/2 16 4.5000 +16-UN-4 5/8 16 4.6250 +16-UN-4 3/4 16 4.7500 +16-UN-4 7/8 16 4.8750 +16-UN-5 16 5.0000 +16-UN-5 1/8 16 5.1250 +16-UN-5 1/4 16 5.2500 +16-UN-5 3/8 16 5.3750 +16-UN-5 1/2 16 5.5000 +16-UN-5 5/8 16 5.6250 +16-UN-5 3/4 16 5.7500 +16-UN-5 7/8 16 5.8750 +16-UN-6 16 6.0000 +20-UN-1/4 20 0.2500 +20-UN-5/16 20 0.3125 +20-UN-3/8 20 0.3750 +20-UN-7/16 20 0.4375 +20-UN-1/2 20 0.5000 +20-UN-9/16 20 0.5625 +20-UN-5/8 20 0.6250 +20-UN-11/16 20 0.6875 +20-UN-3/4 20 0.7500 +20-UN-13/16 20 0.8125 +20-UN-7/8 20 0.8750 +20-UN-15/16 20 0.9375 +20-UN-1 20 1.0000 +20-UN-1 1/16 20 1.0625 +20-UN-1 1/8 20 1.1250 +20-UN-1 3/16 20 1.1875 +20-UN-1 1/4 20 1.2500 +20-UN-1 5/16 20 1.3125 +20-UN-1 3/8 20 1.3750 +20-UN-1 7/16 20 1.4375 +20-UN-1 1/2 20 1.5000 +20-UN-1 9/16 20 1.5625 +20-UN-1 5/8 20 1.6250 +20-UN-1 11/16 20 1.6875 +20-UN-1 3/4 20 1.7500 +20-UN-1 13/16 20 1.8125 +20-UN-1 7/8 20 1.8750 +20-UN-1 15/16 20 1.9375 +20-UN-2 20 2.0000 +20-UN-2 1/8 20 2.1250 +20-UN-2 1/4 20 2.2500 +20-UN-2 3/8 20 2.3750 +20-UN-2 1/2 20 2.5000 +20-UN-2 5/8 20 2.6250 +20-UN-2 3/4 20 2.7500 +20-UN-2 7/8 20 2.8750 +20-UN-3 20 3.0000 +28-UN-#12 28 0.2160 +28-UN-1/4 28 0.2500 +28-UN-5/16 28 0.3125 +28-UN-3/8 28 0.3750 +28-UN-7/16 28 0.4375 +28-UN-1/2 28 0.5000 +28-UN-9/16 28 0.5625 +28-UN-5/8 28 0.6250 +28-UN-11/16 28 0.6875 +28-UN-3/4 28 0.7500 +28-UN-13/16 28 0.8125 +28-UN-7/8 28 0.8750 +28-UN-15/16 28 0.9375 +28-UN-1 28 1.0000 +28-UN-1 1/16 28 1.0625 +28-UN-1 1/8 28 1.1250 +28-UN-1 3/16 28 1.1875 +28-UN-1 1/4 28 1.2500 +28-UN-1 5/16 28 1.3125 +28-UN-1 3/8 28 1.3750 +28-UN-1 7/16 28 1.4375 +28-UN-1 1/2 28 1.5000 +32-UN-#6 32 0.1380 +32-UN-#8 32 0.1640 +32-UN-#10 32 0.1900 +32-UN-#12 32 0.2160 +32-UN-1/4 32 0.2500 +32-UN-5/16 32 0.3125 +32-UN-3/8 32 0.3750 +32-UN-7/16 32 0.4375 +32-UN-1/2 32 0.5000 +32-UN-9/16 32 0.5625 +32-UN-5/8 32 0.6250 +32-UN-11/16 32 0.6875 +32-UN-3/4 32 0.7500 +32-UN-13/16 32 0.8125 diff --git a/design/autogenerate.awk b/design/autogenerate.awk index a06ad0f..7388d5a 100644 --- a/design/autogenerate.awk +++ b/design/autogenerate.awk @@ -1,6 +1,14 @@ -BEGIN { FS = "," ; RS = "\n" - print "/* This script is auto-generated - do not edit" - print " :License: 3-clause BSD. See LICENSE. */" - printf "\nTHREAD_TABLE = [" } -/^[GPM]/ { print "[\"" $1 "\", [" $2 ", " $3 ", " $4 ", [[" $5 ", " $6 "], [" $7 ", " $8 "], [" $9 ", " $10 "], [" $11 ", " $12 "]]]],"} +BEGIN { + FS = ","; + print "/* This script is auto-generated - do not edit" + print " :License: 3-clause BSD. See LICENSE. */" + printf "\nTHREAD_TABLE = [" +} + + // { + gsub(/\r/, ""); + print "[\"" $1 "\", [" $2 ", " $3 ", " $4 ", [[" $5 ", " $6 "], [" \ + $7 ", " $8 "], [" $9 ", " $10 "], [" $11 ", " $12 "]]]],"; +} + END { print "];" } diff --git a/design/metric_thread.awk b/design/metric_thread.awk new file mode 100644 index 0000000..c43c59b --- /dev/null +++ b/design/metric_thread.awk @@ -0,0 +1,71 @@ +function tan(x) { + return(sin(x) / cos(x)) +} + +function min(x, y) { + if (x < y) return(x) + else return(y) +} + +function calculateThreadlibSpecs() { + Designator = $3; + P = $4; + H = P / 2 / tan(phi / 2); + DPitchExt = ($8 + $9) / 2; + DSupportExt = ($10 + $11) / 2; + DValleyExt = $11; + DCrestExt = ($6 + $7) / 2; + ZValleyExt = (DPitchExt + H - DValleyExt) / 2 * tan(phi / 2); + ZCrestExt = (DPitchExt + H - DCrestExt) / 2 * tan(phi / 2); + + DPitchInt = ($15 + $16) / 2; + DSupportInt = ($17 + $18) / 2; + DValleyInt = $18; + DCrestInt = ($13 + $14) / 2; + # for some reason, the data sometimes has dRMax > H. We have to fix this: + dRMax = min((DValleyInt - DPitchInt + H) / 2, 0.99 * H); + DValleyInt = DPitchInt - H + 2 * dRMax; + # now, continue as usual + ZValleyInt = dRMax * tan(phi / 2); + ZCrestInt = (DCrestInt - DPitchInt + H) / 2 * tan(phi / 2); +} + +BEGIN { + FS = "\t"; + pi = atan2(0, -1); + deg = pi / 180; + phi = 60 * deg; +} + +/^[^#]/ { + calculateThreadlibSpecs(); + + # External thread: + printf Designator "-ext," # designator + printf P "," # pitch + printf "%.4f,", DValleyExt / 2 # Rrot + printf "%.4f,", DSupportExt # Dsupport + printf 0 "," # r0 + printf "%.4f,", -ZValleyExt # z0 + printf 0 "," # r1 + printf "%.4f,", +ZValleyExt # z1 + printf "%.4f,", (DCrestExt - DValleyExt) / 2 # r2 + printf "%.4f,", +ZCrestExt # z2 + printf "%.4f,", (DCrestExt - DValleyExt) / 2 # r3 + printf "%.4f\n", -ZCrestExt; # z3 + + # Internal thread: + printf Designator "-int," # designator + printf P "," # pitch + printf "%.4f,", -DValleyInt / 2 # Rrot + printf "%.4f,", DSupportInt # Dsupport + printf 0 "," # r0 + printf "%.4f,", +ZValleyInt # z0 + printf 0 "," # r1 + printf "%.4f,", -ZValleyInt # z1 + printf "%.4f,", -(DCrestInt - DValleyInt) / 2 # r2 + printf "%.4f,", -ZCrestInt # z2 + printf "%.4f,", -(DCrestInt - DValleyInt) / 2 # r3 + printf "%.4f\n", +ZCrestInt; # z3 +} + diff --git a/design/metric_thread.csv b/design/metric_thread.csv new file mode 100644 index 0000000..3a7cb58 --- /dev/null +++ b/design/metric_thread.csv @@ -0,0 +1,501 @@ +# ISO Metric profile External (bolt thread) Internal (nut thread) Basic mm +# Major Dia d=D Pitch Dia d2=D2 Minor Dia d3 Minor Dia D1 Pitch Dia d2=D2 Major Dia d=D +#Size Designation Simple Desig. Pitch Class max min max min max min Class min max min max min max Tap Drill +#1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 +0.25 M0.25x0.075 M0.25x0.075 0.075 6g 0.25 0.235 0.201 0.187 0.16 0.14 6H 0.172 0.208 0.201 0.215 0.255 0.276 0.175 +0.3 M0.3x0.08 M0.3x0.08 0.08 6g 0.3 0.284 0.248 0.234 0.204 0.183 6H 0.217 0.254 0.248 0.262 0.306 0.327 0.22 +0.3 M0.3x0.09 M0.3x0.09 0.09 6g 0.3 0.283 0.242 0.226 0.192 0.17 6H 0.206 0.247 0.242 0.257 0.306 0.33 0.21 +0.35 M0.35x0.09 M0.35x0.09 0.09 6g 0.35 0.333 0.292 0.277 0.242 0.22 6H 0.256 0.297 0.292 0.307 0.356 0.38 0.26 +0.4 M0.4x0.1 M0.4x0.1 0.1 6g 0.4 0.382 0.335 0.319 0.28 0.256 6H 0.296 0.34 0.335 0.351 0.407 0.432 0.3 +0.45 M0.45x0.1 M0.45x0.1 0.1 6g 0.45 0.432 0.385 0.369 0.33 0.306 6H 0.346 0.39 0.385 0.401 0.457 0.482 0.35 +0.5 M0.5x0.125 M0.5x0.125 0.125 6g 0.5 0.479 0.419 0.401 0.35 0.322 6H 0.37 0.422 0.419 0.437 0.509 0.538 0.375 +0.55 M0.55x0.125 M0.55x0.125 0.125 6g 0.55 0.529 0.469 0.451 0.4 0.372 6H 0.42 0.472 0.469 0.487 0.559 0.588 0.425 +0.6 M0.6x0.15 M0.6x0.15 0.15 6g 0.6 0.576 0.503 0.483 0.42 0.388 6H 0.444 0.504 0.503 0.523 0.611 0.644 0.45 +0.7 M0.7x0.175 M0.7x0.175 0.175 6g 0.7 0.673 0.586 0.564 0.49 0.454 6H 0.518 0.586 0.586 0.608 0.713 0.75 0.525 +0.8 M0.8x0.2 M0.8x0.2 0.2 6g 0.8 0.77 0.67 0.646 0.56 0.52 6H 0.592 0.668 0.67 0.694 0.814 0.856 0.6 +0.9 M0.9x0.225 M0.9x0.225 0.225 6g 0.9 0.867 0.754 0.728 0.63 0.586 6H 0.666 0.75 0.754 0.78 0.916 0.962 0.675 +1 M1x0.25 M1 0.25 6g 0.982 0.915 0.82 0.767 0.711 0.613 6H 0.729 0.809 0.838 0.909 1 1.107 0.75 +1 M1x0.2 M1x0.2 0.2 6g 0.983 0.927 0.853 0.805 0.766 0.682 6H 0.783 0.858 0.87 0.933 1 1.092 0.8 +1.1 M1.1x0.25 M1.1x0.25 0.25 6g 1.082 1.015 0.92 0.867 0.811 0.713 6H 0.829 0.909 0.938 1.009 1.1 1.207 0.85 +1.1 M1.1x0.2 M1.1x0.2 0.2 6g 1.083 1.027 0.953 0.905 0.866 0.782 6H 0.883 0.958 0.97 1.033 1.1 1.192 0.9 +1.2 M1.2x0.25 M1.2 0.25 6g 1.182 1.115 1.02 0.967 0.911 0.813 6H 0.929 1.009 1.038 1.109 1.2 1.307 0.95 +1.2 M1.2x0.2 M1.2x0.2 0.2 6g 1.183 1.127 1.053 1.005 0.966 0.882 6H 0.983 1.058 1.07 1.133 1.2 1.292 1 +1.4 M1.4x0.3 M1.4 0.3 6g 1.383 1.308 1.253 1.193 1.166 1.07 6H 1.183 1.258 1.27 1.35 1.4 1.509 1.1 +1.4 M1.4x0.2 M1.4x0.2 0.2 6g 1.383 1.327 1.253 1.205 1.166 1.082 6H 1.183 1.258 1.27 1.333 1.4 1.492 1.2 +1.6 M1.6x0.35 M1.6 0.35 6g 1.581 1.496 1.354 1.291 1.202 1.075 6H 1.221 1.321 1.373 1.458 1.6 1.736 1.25 +1.6 M1.6x0.3 M1.6x0.3 0.3 6g 1.582 1.507 1.387 1.342 1.257 1.157 6H 1.275 1.36 1.405 1.465 1.6 1.703 1.3 +1.6 M1.6x0.2 M1.6x0.2 0.2 6g 1.583 1.527 1.453 1.403 1.366 1.28 6H 1.383 1.458 1.47 1.537 1.6 1.696 1.4 +1.7 M1.7x0.35 M1.7x0.35 0.35 6g 1.681 1.596 1.454 1.391 1.302 1.175 6H 1.321 1.421 1.473 1.558 1.7 1.836 1.35 +1.8 M1.8x0.35 M1.8 0.35 6g 1.781 1.696 1.554 1.491 1.402 1.275 6H 1.421 1.521 1.573 1.658 1.8 1.936 1.45 +1.8 M1.8x0.2 M1.8x0.2 0.2 6g 1.783 1.727 1.653 1.603 1.566 1.48 6H 1.583 1.658 1.67 1.737 1.8 1.896 1.6 +2 M2x0.4 M2 0.4 6g 1.981 1.886 1.721 1.654 1.548 1.408 6H 1.567 1.679 1.74 1.83 2 2.148 1.6 +2 M2x0.25 M2x0.25 0.25 6g 1.982 1.915 1.82 1.764 1.711 1.61 6H 1.729 1.809 1.838 1.913 2 2.111 1.75 +2.2 M2.2x0.45 M2.2 0.45 6g 2.18 2.08 1.888 1.817 1.693 1.54 6H 1.713 1.838 1.908 2.003 2.2 2.36 1.75 +2.2 M2.2x0.25 M2.2x0.25 0.25 6g 2.182 2.115 2.02 1.964 1.911 1.81 6H 1.929 2.009 2.038 2.113 2.2 2.311 1.95 +2.3 M2.3x0.45 M2.3x0.45 0.45 6g 2.28 2.18 1.988 1.917 1.793 1.64 6H 1.813 1.938 2.008 2.103 2.3 2.46 1.85 +2.3 M2.3x0.4 M2.3x0.4 0.4 6g 2.281 2.186 2.021 1.954 1.848 1.708 6H 1.867 1.979 2.04 2.13 2.3 2.448 1.9 +2.5 M2.5x0.45 M2.5 0.45 6g 2.48 2.38 2.188 2.117 1.993 1.84 6H 2.013 2.138 2.208 2.303 2.5 2.66 2.05 +2.5 M2.5x0.35 M2.5x0.35 0.35 6g 2.481 2.396 2.254 2.191 2.102 1.975 6H 2.121 2.221 2.273 2.358 2.5 2.636 2.15 +2.6 M2.6x0.45 M2.6x0.45 0.45 6g 2.58 2.48 2.288 2.217 2.093 1.94 6H 2.113 2.238 2.308 2.393 2.6 2.75 2.15 +3 M3x0.5 M3 0.5 6g 2.98 2.874 2.655 2.58 2.439 2.272 6H 2.459 2.599 2.675 2.775 3 3.172 2.5 +3 M3x0.35 M3x0.35 0.35 6g 2.981 2.896 2.754 2.687 2.602 2.471 6H 2.621 2.721 2.773 2.863 3 3.141 2.65 +3.5 M3.5x0.6 M3.5 0.6 6g 3.479 3.354 3.089 3.004 2.829 2.635 6H 2.85 3.01 3.11 3.222 3.5 3.699 2.9 +3.5 M3.5x0.35 M3.5x0.35 0.35 6g 3.481 3.396 3.254 3.187 3.102 2.971 6H 3.121 3.221 3.273 3.363 3.5 3.641 3.15 +4 M4x0.7 M4 0.7 6g 3.978 3.838 3.523 3.433 3.22 3.002 6H 3.242 3.422 3.545 3.663 4 4.219 3.3 +4 M4x0.5 M4x0.5 0.5 6g 3.98 3.874 3.655 3.58 3.439 3.272 6H 3.459 3.599 3.675 3.775 4 4.172 3.5 +4.5 M4.5x0.75 M4.5x0.75 0.75 6g 4.478 4.338 3.991 3.901 3.666 3.439 6H 3.688 3.878 4.013 4.131 4.5 4.726 3.75 +4.5 M4.5x0.5 M4.5x0.5 0.5 6g 4.48 4.374 4.155 4.08 3.939 3.772 6H 3.959 4.099 4.175 4.275 4.5 4.672 4 +5 M5x0.8 M5 0.8 6g 4.976 4.826 4.456 4.361 4.11 3.869 6H 4.134 4.334 4.48 4.605 5 5.24 4.2 +5 M5x0.5 M5x0.5 0.5 6g 4.98 4.874 4.655 4.58 4.439 4.272 6H 4.459 4.599 4.675 4.775 5 5.172 4.5 +5.5 M5.5x0.5 M5.5x0.5 0.5 6g 5.48 5.374 5.155 5.065 4.939 4.757 6H 4.959 5.099 5.175 5.295 5.5 5.692 5 +6 M6x1 M6 1 6g 5.974 5.794 5.324 5.212 4.891 4.596 6H 4.917 5.153 5.35 5.5 6 6.294 5 +6 M6x0.8 M6x0.8 0.8 6g 5.976 5.826 5.456 5.376 5.11 4.884 6H 5.134 5.334 5.48 5.586 6 6.221 5.2 +6 M6x0.75 M6x0.75 0.75 6g 5.978 5.838 5.491 5.391 5.166 4.929 6H 5.188 5.378 5.513 5.645 6 6.24 5.25 +6 M6x0.7 M6x0.7 0.7 6g 5.978 5.838 5.523 5.428 5.22 4.997 6H 5.242 5.422 5.545 5.671 6 6.226 5.3 +6 M6x0.5 M6x0.5 0.5 6g 5.98 5.874 5.655 5.57 5.439 5.262 6H 5.459 5.599 5.675 5.787 6 6.184 5.5 +7 M7x1 M7 1 6g 6.974 6.794 6.324 6.212 5.891 5.596 6H 5.917 6.153 6.35 6.5 7 7.294 6 +7 M7x0.75 M7x0.75 0.75 6g 6.978 6.838 6.491 6.391 6.166 5.929 6H 6.188 6.378 6.513 6.645 7 7.24 6.25 +7 M7x0.5 M7x0.5 0.5 6g 6.98 6.874 6.655 6.57 6.439 6.262 6H 6.459 6.599 6.675 6.787 7 7.184 6.5 +8 M8x1.25 M8 1.25 6g 7.972 7.76 7.16 7.042 6.619 6.272 6H 6.647 6.912 7.188 7.348 8 8.34 6.75 +8 M8x1 M8x1 1 6g 7.974 7.794 7.324 7.212 6.891 6.596 6H 6.917 7.153 7.35 7.5 8 8.294 7 +8 M8x0.8 M8x0.8 0.8 6g 7.976 7.826 7.456 7.35 7.11 6.858 6H 7.134 7.334 7.48 7.62 8 8.255 7.2 +8 M8x0.75 M8x0.75 0.75 6g 7.978 7.838 7.491 7.391 7.166 6.929 6H 7.188 7.378 7.513 7.645 8 8.24 7.25 +8 M8x0.5 M8x0.5 0.5 6g 7.98 7.874 7.655 7.57 7.439 7.262 6H 7.459 7.599 7.675 7.787 8 8.184 7.5 +9 M9x1.25 M9x1.25 1.25 6g 8.972 8.76 8.16 8.042 7.619 7.272 6H 7.647 7.912 8.188 8.348 9 9.34 7.75 +9 M9x1 M9x1 1 6g 8.974 8.794 8.324 8.212 7.891 7.596 6H 7.917 8.153 8.35 8.498 9 9.292 8 +9 M9x0.75 M9x0.75 0.75 6g 8.978 8.838 8.491 8.391 8.166 7.929 6H 8.188 8.378 8.513 8.645 9 9.24 8.25 +9 M9x0.5 M9x0.5 0.5 6g 8.98 8.874 8.655 8.57 8.439 8.262 6H 8.459 8.599 8.675 8.787 9 9.184 8.5 +10 M10x1.5 M10 1.5 6g 9.968 9.732 8.994 8.862 8.344 7.938 6H 8.376 8.676 9.026 9.206 10 10.396 8.5 +10 M10x1.25 M10x1.25 1.25 6g 9.972 9.76 9.16 9.042 8.619 8.272 6H 8.647 8.912 9.188 9.348 10 10.34 8.75 +10 M10x1.12 M10x1.12 1.12 6g 9.973 9.783 9.246 9.128 8.761 8.438 6H 8.788 9.038 9.273 9.433 10 10.322 8.88 +10 M10x1 M10x1 1 6g 9.974 9.794 9.324 9.212 8.891 8.596 6H 8.917 9.153 9.35 9.5 10 10.294 9 +10 M10x0.75 M10x0.75 0.75 6g 9.978 9.838 9.491 9.391 9.166 8.929 6H 9.188 9.378 9.513 9.645 10 10.24 9.25 +10 M10x0.5 M10x0.5 0.5 6g 9.98 9.874 9.655 9.57 9.439 9.262 6H 9.459 9.599 9.675 9.787 10 10.184 9.5 +11 M11x1.5 M11x1.5 1.5 6g 10.97 10.73 9.994 9.862 9.344 8.938 6H 9.376 9.676 10.026 10.196 11 11.387 9.5 +11 M11x1 M11x1 1 6g 10.97 10.79 10.32 10.21 9.891 9.596 6H 9.917 10.153 10.35 10.5 11 11.294 10 +11 M11x0.75 M11x0.75 0.75 6g 10.98 10.84 10.49 10.39 10.166 9.929 6H 10.188 10.378 10.513 10.645 11 11.24 10.25 +11 M11x0.5 M11x0.5 0.5 6g 10.98 10.87 10.66 10.57 10.439 10.262 6H 10.459 10.599 10.675 10.787 11 11.184 10.5 +12 M12x1.75 M12 1.75 6g 11.97 11.7 10.83 10.68 10.072 9.601 6H 10.106 10.441 10.863 11.063 12 12.453 10.25 +12 M12x1.5 M12x1.5 1.5 6g 11.97 11.73 10.99 10.85 10.344 9.93 6H 10.376 10.676 11.026 11.216 12 12.406 10.5 +12 M12x1.25 M12x1.25 1.25 6g 11.97 11.76 11.16 11.03 10.619 10.258 6H 10.647 10.912 11.188 11.368 12 12.36 10.75 +12 M12x1 M12x1 1 6g 11.97 11.79 11.32 11.21 10.891 10.59 6H 10.917 11.153 11.35 11.51 12 12.304 11 +12 M12x0.75 M12x0.75 0.75 6g 11.98 11.84 11.49 11.39 11.166 10.923 6H 11.188 11.378 11.513 11.653 12 12.248 11.25 +12 M12x0.5 M12x0.5 0.5 6g 11.98 11.87 11.66 11.57 11.439 11.257 6H 11.459 11.599 11.675 11.795 12 12.192 11.5 +14 M14x2 M14 2 6g 13.96 13.68 12.66 12.5 11.797 11.271 6H 11.835 12.21 12.701 12.913 14 14.501 12 +14 M14x1.5 M14x1.5 1.5 6g 13.97 13.73 12.99 12.85 12.344 11.93 6H 12.376 12.676 13.026 13.216 14 14.406 12.5 +14 M14x1.25 M14x1.25 1.25 6g 13.97 13.76 13.16 13.03 12.619 12.258 6H 12.647 12.912 13.188 13.358 14 14.35 12.75 +14 M14x1 M14x1 1 6g 13.97 13.79 13.32 13.21 12.891 12.59 6H 12.917 13.153 13.35 13.51 14 14.304 13 +14 M14x0.75 M14x0.75 0.75 6g 13.98 13.84 13.49 13.39 13.166 12.923 6H 13.188 13.378 13.513 13.653 14 14.248 13.25 +14 M14x0.5 M14x0.5 0.5 6g 13.98 13.87 13.66 13.57 13.439 13.257 6H 13.459 13.599 13.675 13.795 14 14.192 13.5 +15 M15x1.5 M15x1.5 1.5 6g 14.97 14.73 13.99 13.85 13.344 12.93 6H 13.376 13.676 14.026 14.216 15 15.407 13.5 +15 M15x1 M15x1 1 6g 14.97 14.79 14.32 14.21 13.891 13.59 6H 13.917 14.153 14.35 14.51 15 15.304 14 +16 M16x2 M16 2 6g 15.96 15.68 14.66 14.5 13.797 13.271 6H 13.835 14.21 14.701 14.913 16 16.501 14 +16 M16x1.6 M16x1.6 1.6 6g 15.97 15.76 14.93 14.82 14.236 13.838 6H 14.268 14.568 14.961 15.101 16 16.371 14.4 +16 M16x1.5 M16x1.5 1.5 6g 15.97 15.73 14.99 14.85 14.344 13.93 6H 14.376 14.676 15.026 15.216 16 16.406 14.5 +16 M16x1.25 M16x1.25 1.25 6g 15.97 15.76 15.16 15.03 14.619 14.258 6H 14.647 14.912 15.188 15.358 16 16.35 14.75 +16 M16x1 M16x1 1 6g 15.97 15.79 15.32 15.21 14.891 14.59 6H 14.917 15.153 15.35 15.51 16 16.304 15 +16 M16x0.75 M16x0.75 0.75 6g 15.98 15.84 15.49 15.39 15.166 14.923 6H 15.188 15.378 15.513 15.653 16 16.248 15.25 +16 M16x0.5 M16x0.5 0.5 6g 15.98 15.87 15.66 15.57 15.439 15.257 6H 15.459 15.599 15.675 15.795 16 16.192 15.5 +17 M17x1.5 M17x1.5 1.5 6g 16.97 16.73 15.99 15.85 15.344 14.93 6H 15.376 15.676 16.026 16.216 17 17.407 15.5 +17 M17x1 M17x1 1 6g 16.97 16.79 16.32 16.21 15.891 15.59 6H 15.917 16.153 16.35 16.51 17 17.304 16 +18 M18x2.5 M18 2.5 6g 17.96 17.62 16.33 16.16 15.252 14.624 6H 15.294 15.744 16.376 16.601 18 18.585 15.5 +18 M18x2 M18x2 2 6g 17.96 17.68 16.66 16.5 15.797 15.271 6H 15.835 16.21 16.701 16.913 18 18.501 16 +18 M18x1.5 M18x1.5 1.5 6g 17.97 17.73 16.99 16.85 16.344 15.93 6H 16.376 16.676 17.026 17.216 18 18.406 16.5 +18 M18x1.25 M18x1.25 1.25 6g 17.97 17.76 17.16 17.03 16.619 16.258 6H 16.647 16.912 17.188 17.358 18 18.35 16.75 +18 M18x1 M18x1 1 6g 17.97 17.79 17.32 17.21 16.891 16.59 6H 16.917 17.153 17.35 17.51 18 18.304 17 +18 M18x0.75 M18x0.75 0.75 6g 17.98 17.84 17.49 17.39 17.166 16.923 6H 17.188 17.378 17.513 17.653 18 18.248 17.25 +18 M18x0.5 M18x0.5 0.5 6g 17.98 17.87 17.66 17.57 17.439 17.257 6H 17.459 17.599 17.675 17.795 18 18.192 17.5 +20 M20x2.5 M20 2.5 6g 19.96 19.62 18.33 18.16 17.252 16.624 6H 17.294 17.744 18.376 18.6 20 20.585 17.5 +20 M20x2 M20x2 2 6g 19.96 19.68 18.66 18.5 17.797 17.271 6H 17.835 18.21 18.701 18.913 20 20.501 18 +20 M20x1.5 M20x1.5 1.5 6g 19.97 19.73 18.99 18.85 18.344 17.93 6H 18.376 18.676 19.026 19.216 20 20.406 18.5 +20 M20x1 M20x1 1 6g 19.97 19.79 19.32 19.21 18.891 18.59 6H 18.917 19.153 19.35 19.51 20 20.304 19 +20 M20x0.75 M20x0.75 0.75 6g 19.98 19.84 19.49 19.39 19.166 18.923 6H 19.188 19.378 19.513 19.653 20 20.248 19.25 +20 M20x0.5 M20x0.5 0.5 6g 19.98 19.87 19.66 19.57 19.439 19.257 6H 19.459 19.599 19.675 19.795 20 20.192 19.5 +22 M22x3 M22x3 3 6g 21.95 21.58 20 19.82 18.704 17.97 6H 18.752 19.252 20.051 20.296 22 22.677 19 +22 M22x2.5 M22 2.5 6g 21.96 21.62 20.33 20.16 19.252 18.624 6H 19.294 19.744 20.376 20.6 22 22.585 19.5 +22 M22x2 M22x2 2 6g 21.96 21.68 20.66 20.5 19.797 19.271 6H 19.835 20.21 20.701 20.913 22 22.501 20 +22 M22x1.5 M22x1.5 1.5 6g 21.97 21.73 20.99 20.85 20.344 19.93 6H 20.376 20.676 21.026 21.216 22 22.406 20.5 +22 M22x1 M22x1 1 6g 21.97 21.79 21.32 21.21 20.891 20.59 6H 20.917 21.153 21.35 21.51 22 22.304 21 +22 M22x0.75 M22x0.75 0.75 6g 21.98 21.84 21.49 21.39 21.166 20.923 6H 21.188 21.378 21.513 21.653 22 22.248 21.25 +22 M22x0.5 M22x0.5 0.5 6g 21.98 21.87 21.66 21.57 21.439 21.257 6H 21.459 21.599 21.675 21.795 22 22.192 21.5 +24 M24x3 M24 3 6g 23.95 23.58 22 21.8 20.704 19.955 6H 20.752 21.252 22.051 22.316 24 24.698 21 +24 M24x2.5 M24x2.5 2.5 6g 23.96 23.62 22.33 22.14 21.252 20.604 6H 21.294 21.744 22.376 22.626 24 24.611 21.5 +24 M24x2 M24x2 2 6g 23.96 23.68 22.66 22.49 21.797 21.261 6H 21.835 22.21 22.701 22.925 24 24.513 22 +24 M24x1.5 M24x1.5 1.5 6g 23.97 23.73 22.99 22.84 22.344 21.92 6H 22.376 22.676 23.026 23.226 24 24.417 22.5 +24 M24x1 M24x1 1 6g 23.97 23.79 23.32 23.2 22.891 22.583 6H 22.917 23.153 23.35 23.52 24 24.314 23 +24 M24x0.75 M24x0.75 0.75 6g 23.98 23.84 23.49 23.38 23.166 22.917 6H 23.188 23.378 23.513 23.663 24 24.258 23.25 +25 M25x2 M25x2 2 6g 24.96 24.68 23.66 23.49 22.797 22.261 6H 22.835 23.21 23.701 23.925 25 25.513 23 +25 M25x1.5 M25x1.5 1.5 6g 24.97 24.73 23.99 23.84 23.344 22.92 6H 23.376 23.676 24.026 24.226 25 25.416 23.5 +25 M25x1 M25x1 1 6g 24.97 24.79 24.32 24.2 23.891 23.583 6H 23.917 24.153 24.35 24.52 25 25.314 24 +26 M26x1.5 M26x1.5 1.5 6g 25.97 25.73 24.99 24.84 24.344 23.92 6H 24.376 24.676 25.026 25.226 26 26.417 24.5 +27 M27x3 M27 3 6g 26.95 26.58 25 24.8 23.704 22.955 6H 23.752 24.252 25.051 25.316 27 27.698 24 +27 M27x2 M27x2 2 6g 26.96 26.68 25.66 25.49 24.797 24.261 6H 24.835 25.21 25.701 25.925 27 27.513 25 +27 M27x1.5 M27x1.5 1.5 6g 26.97 26.73 25.99 25.84 25.344 24.92 6H 25.376 25.676 26.026 26.226 27 27.417 25.5 +27 M27x1 M27x1 1 6g 26.97 26.79 26.32 26.2 25.891 25.583 6H 25.917 26.153 26.35 26.52 27 27.314 26 +27 M27x0.75 M27x0.75 0.75 6g 26.98 26.84 26.49 26.38 26.166 25.917 6H 26.188 26.378 26.513 26.663 27 27.258 26.25 +28 M28x2 M28x2 2 6g 27.96 27.68 26.66 26.49 25.797 25.261 6H 25.835 26.21 26.701 26.925 28 28.513 26 +28 M28x1.5 M28x1.5 1.5 6g 27.97 27.73 26.99 26.84 26.344 25.92 6H 26.376 26.676 27.026 27.226 28 28.417 26.5 +28 M28x1 M28x1 1 6g 27.97 27.79 27.32 27.2 26.891 26.583 6H 26.917 27.153 27.35 27.52 28 28.314 27 +30 M30x3.5 M30 3.5 6g 29.95 29.52 27.67 27.46 26.158 25.306 6H 26.211 26.771 27.727 28.007 30 30.785 26.5 +30 M30x3 M30x3 3 6g 29.95 29.58 28 27.8 26.704 25.955 6H 26.752 27.252 28.051 28.316 30 30.698 27 +30 M30x2.5 M30x2.5 2.5 6g 29.96 29.62 28.33 28.14 27.252 26.604 6H 27.294 27.744 28.376 28.626 30 30.611 27.5 +30 M30x2 M30x2 2 6g 29.96 29.68 28.66 28.49 27.797 27.261 6H 27.835 28.21 28.701 28.925 30 30.513 28 +30 M30x1.5 M30x1.5 1.5 6g 29.97 29.73 28.99 28.84 28.344 27.92 6H 28.376 28.676 29.026 29.226 30 30.416 28.5 +30 M30x1 M30x1 1 6g 29.97 29.79 29.32 29.2 28.891 28.583 6H 28.917 29.153 29.35 29.52 30 30.314 29 +30 M30x0.75 M30x0.75 0.75 6g 29.98 29.84 29.49 29.38 29.166 28.917 6H 29.188 29.378 29.513 29.663 30 30.258 29.25 +32 M32x2 M32x2 2 6g 31.96 31.68 30.66 30.49 29.797 29.261 6H 29.835 30.21 30.701 30.925 32 32.513 30 +32 M32x1.5 M32x1.5 1.5 6g 31.97 31.73 30.99 30.84 30.344 29.92 6H 30.376 30.676 31.026 31.226 32 32.417 30.5 +33 M33x3.5 M33 3.5 6g 32.97 32.54 30.7 30.48 29.179 28.327 6H 29.211 29.771 30.727 31.007 33 33.785 29.5 +33 M33x3 M33x3 3 6g 32.95 32.58 31 30.8 29.704 28.955 6H 29.752 30.252 31.051 31.316 33 33.698 30 +33 M33x2 M33x2 2 6g 32.96 32.68 31.66 31.49 30.797 30.261 6H 30.835 31.21 31.701 31.925 33 33.513 31 +33 M33x1.5 M33x1.5 1.5 6g 32.97 32.73 31.99 31.84 31.344 30.92 6H 31.376 31.676 32.026 32.226 33 33.417 31.5 +33 M33x1 M33x1 1 6g 32.97 32.79 32.32 32.2 31.891 31.583 6H 31.917 32.153 32.35 32.52 33 33.314 32 +33 M33x0.75 M33x0.75 0.75 6g 32.98 32.84 32.49 32.38 32.166 31.917 6H 32.188 32.378 32.513 32.663 33 33.258 32.25 +35 M35x1.5 M35x1.5 1.5 6g 34.97 34.73 33.99 33.84 33.344 32.92 6H 33.376 33.676 34.026 34.226 35 35.416 33.5 +36 M36x4 M36 4 6g 35.94 35.47 33.34 33.12 31.61 30.654 6H 31.67 32.27 33.402 33.702 36 36.877 32 +36 M36x3 M36x3 3 6g 35.95 35.58 34 33.8 32.704 31.955 6H 32.752 33.252 34.051 34.316 36 36.698 33 +36 M36x2 M36x2 2 6g 35.96 35.68 34.66 34.49 33.797 33.261 6H 33.835 34.21 34.701 34.925 36 36.513 34 +36 M36x1.5 M36x1.5 1.5 6g 35.97 35.73 34.99 34.84 34.344 33.92 6H 34.376 34.676 35.026 35.226 36 36.417 34.5 +36 M36x1 M36x1 1 6g 35.97 35.79 35.32 35.2 34.891 34.583 6H 34.917 35.153 35.35 35.52 36 36.314 35 +38 M38x1.5 M38x1.5 1.5 6g 37.97 37.73 36.99 36.84 36.344 35.92 6H 36.376 36.676 37.026 37.226 38 38.417 36.5 +39 M39x4 M39 4 6g 38.94 38.47 36.34 36.12 34.61 33.654 6H 34.67 35.27 36.402 36.702 39 39.877 35 +39 M39x3 M39x3 3 6g 38.95 38.58 37 36.8 35.704 34.955 6H 35.752 36.252 37.051 37.316 39 39.698 36 +39 M39x2 M39x2 2 6g 38.96 38.68 37.66 37.49 36.797 36.261 6H 36.835 37.21 37.701 37.925 39 39.513 37 +39 M39x1.5 M39x1.5 1.5 6g 38.97 38.73 37.99 37.84 37.344 36.92 6H 37.376 37.676 38.026 38.226 39 39.417 37.5 +39 M39x1 M39x1 1 6g 38.97 38.79 38.32 38.2 37.891 37.583 6H 37.917 38.153 38.35 38.52 39 39.314 38 +40 M40x3 M40x3 3 6g 39.95 39.58 38 37.8 36.704 35.955 6H 36.752 37.252 38.051 38.316 40 40.698 37 +40 M40x2.5 M40x2.5 2.5 6g 39.96 39.62 38.33 38.14 37.252 36.604 6H 37.294 37.744 38.376 38.626 40 40.611 37.5 +40 M40x2 M40x2 2 6g 39.96 39.68 38.66 38.49 37.797 37.261 6H 37.835 38.21 38.701 38.925 40 40.513 38 +40 M40x1.5 M40x1.5 1.5 6g 39.97 39.73 38.99 38.84 38.344 37.92 6H 38.376 38.676 39.026 39.226 40 40.416 38.5 +42 M42x4.5 M42 4.5 6g 41.94 41.44 39.01 38.78 37.066 36.006 6H 37.129 37.799 39.077 39.392 42 42.965 37.5 +42 M42x4 M42x4 4 6g 41.94 41.47 39.34 39.12 37.61 36.654 6H 37.67 38.27 39.402 39.702 42 42.877 38 +42 M42x3 M42x3 3 6g 41.95 41.58 40 39.8 38.704 37.955 6H 38.752 39.252 40.051 40.316 42 42.698 39 +42 M42x2 M42x2 2 6g 41.96 41.68 40.66 40.49 39.797 39.261 6H 39.835 40.21 40.701 40.925 42 42.513 40 +42 M42x1.5 M42x1.5 1.5 6g 41.97 41.73 40.99 40.84 40.344 39.92 6H 40.376 40.676 41.026 41.226 42 42.417 40.5 +42 M42x1 M42x1 1 6g 41.97 41.79 41.32 41.2 40.891 40.583 6H 40.917 41.153 41.35 41.52 42 42.314 41 +45 M45x4.5 M45 4.5 6g 44.94 44.44 42.01 41.78 40.066 39.006 6H 40.129 40.799 42.077 42.392 45 45.965 40.5 +45 M45x4 M45x4 4 6g 44.94 44.47 42.34 42.12 40.61 39.654 6H 40.67 41.27 42.402 42.702 45 45.877 41 +45 M45x3 M45x3 3 6g 44.95 44.58 43 42.8 41.704 40.955 6H 41.752 42.252 43.051 43.316 45 45.698 42 +45 M45x2 M45x2 2 6g 44.96 44.68 43.66 43.49 42.797 42.261 6H 42.835 43.21 43.701 43.925 45 45.513 43 +45 M45x1.5 M45x1.5 1.5 6g 44.97 44.73 43.99 43.84 43.344 42.92 6H 43.376 43.676 44.026 44.226 45 45.416 43.5 +45 M45x1 M45x1 1 6g 44.97 44.79 44.32 44.2 43.891 43.583 6H 43.917 44.153 44.35 44.52 45 45.314 44 +48 M48x5 M48 5 6g 47.93 47.4 44.68 44.43 42.516 41.351 6H 42.587 43.297 44.752 45.087 48 49.057 43 +48 M48x4 M48x4 4 6g 47.94 47.47 45.34 45.11 43.61 42.642 6H 43.67 44.27 45.402 45.717 48 48.892 44 +48 M48x3 M48x3 3 6g 47.95 47.58 46 45.79 44.704 43.943 6H 44.752 45.252 46.051 46.331 48 48.713 45 +48 M48x2 M48x2 2 6g 47.96 47.68 46.66 46.48 45.797 45.251 6H 45.835 46.21 46.701 46.937 48 48.525 46 +48 M48x1.5 M48x1.5 1.5 6g 47.97 47.73 46.99 46.83 46.344 45.91 6H 46.376 46.676 47.026 47.238 48 48.429 46.5 +50 M50x4 M50x4 4 6g 49.94 49.47 47.34 47.11 45.61 44.642 6H 45.67 46.27 47.402 47.717 50 50.892 46 +50 M50x3 M50x3 3 6g 49.95 49.58 48 47.79 46.704 45.943 6H 46.752 47.252 48.051 48.331 50 50.713 47 +50 M50x2 M50x2 2 6g 49.96 49.68 48.66 48.48 47.797 47.251 6H 47.835 48.21 48.701 48.937 50 50.525 48 +50 M50x1.5 M50x1.5 1.5 6g 49.97 49.73 48.99 48.83 48.344 47.91 6H 48.376 48.676 49.026 49.238 50 50.428 48.5 +52 M52x5 M52 5 6g 51.93 51.4 48.68 48.45 46.516 45.365 6H 46.587 47.297 48.752 49.067 52 53.037 47 +52 M52x4 M52x4 4 6g 51.94 51.47 49.34 49.11 47.61 46.642 6H 47.67 48.27 49.402 49.717 52 52.892 48 +52 M52x3 M52x3 3 6g 51.95 51.58 50 49.79 48.704 47.943 6H 48.752 49.252 50.051 50.331 52 52.713 49 +52 M52x2 M52x2 2 6g 51.96 51.68 50.66 50.48 49.797 49.251 6H 49.835 50.21 50.701 50.937 52 52.525 50 +52 M52x1.5 M52x1.5 1.5 6g 51.97 51.73 50.99 50.83 50.344 49.91 6H 50.376 50.676 51.026 51.238 52 52.429 50.5 +55 M55x4 M55x4 4 6g 54.94 54.47 52.34 52.11 50.61 49.642 6H 50.67 51.27 52.402 52.717 55 55.892 51 +55 M55x3 M55x3 3 6g 54.95 54.58 53 52.79 51.704 50.943 6H 51.752 52.252 53.051 53.331 55 55.713 52 +55 M55x2 M55x2 2 6g 54.96 54.68 53.66 53.48 52.797 52.251 6H 52.835 53.21 53.701 53.937 55 55.525 53 +55 M55x1.5 M55x1.5 1.5 6g 54.97 54.73 53.99 53.83 53.344 52.91 6H 53.376 53.676 54.026 54.238 55 55.428 53.5 +56 M56x5.5 M56 5.5 6g 55.93 55.37 52.35 52.09 49.971 48.7 6H 50.046 50.796 52.428 52.783 56 57.149 50.5 +56 M56x4 M56x4 4 6g 55.94 55.47 53.34 53.11 51.61 50.642 6H 51.67 52.27 53.402 53.717 56 56.892 52 +56 M56x3 M56x3 3 6g 55.95 55.58 54 53.79 52.704 51.943 6H 52.752 53.252 54.051 54.331 56 56.713 53 +56 M56x2 M56x2 2 6g 55.96 55.68 54.66 54.48 53.797 53.251 6H 53.835 54.21 54.701 54.937 56 56.525 54 +56 M56x1.5 M56x1.5 1.5 6g 55.97 55.73 54.99 54.83 54.344 53.91 6H 54.376 54.676 55.026 55.238 56 56.429 54.5 +56 M56x1 M56x1 1 6g 55.97 55.79 55.32 55.18 54.891 54.568 6H 54.917 55.153 55.35 55.54 56 56.334 55 +58 M58x4 M58x4 4 6g 57.94 57.47 55.34 55.11 53.61 52.642 6H 53.67 54.27 55.402 55.717 58 58.892 54 +58 M58x3 M58x3 3 6g 57.95 57.58 56 55.79 54.704 53.943 6H 54.752 55.252 56.051 56.331 58 58.713 55 +58 M58x2 M58x2 2 6g 57.96 57.68 56.66 56.48 55.797 55.251 6H 55.835 56.21 56.701 56.937 58 58.525 56 +58 M58x1.5 M58x1.5 1.5 6g 57.97 57.73 56.99 56.83 56.344 55.91 6H 56.376 56.676 57.026 57.238 58 58.429 56.5 +60 M60x5.5 M60 5.5 6g 59.93 59.37 56.35 56.09 53.971 52.7 6H 54.046 54.796 56.428 56.783 60 61.149 54.5 +60 M60x4 M60x4 4 6g 59.94 59.47 57.34 57.11 55.61 54.642 6H 55.67 56.27 57.402 57.717 60 60.892 56 +60 M60x3 M60x3 3 6g 59.95 59.58 58 57.79 56.704 55.943 6H 56.752 57.252 58.051 58.331 60 60.713 57 +60 M60x2 M60x2 2 6g 59.96 59.68 58.66 58.48 57.797 57.251 6H 57.835 58.21 58.701 58.937 60 60.525 58 +60 M60x1.5 M60x1.5 1.5 6g 59.97 59.73 58.99 58.83 58.344 57.91 6H 58.376 58.676 59.026 59.238 60 60.428 58.5 +60 M60x1 M60x1 1 6g 59.97 59.79 59.32 59.18 58.891 58.568 6H 58.917 59.153 59.35 59.54 60 60.334 59 +62 M62x4 M62x4 4 6g 61.94 61.47 59.34 59.11 57.61 56.642 6H 57.67 58.27 59.402 59.717 62 62.892 58 +62 M62x3 M62x3 3 6g 61.95 61.58 60 59.79 58.704 57.943 6H 58.752 59.252 60.051 60.331 62 62.713 59 +62 M62x2 M62x2 2 6g 61.96 61.68 60.66 60.48 59.797 59.251 6H 59.835 60.21 60.701 60.937 62 62.525 60 +62 M62x1.5 M62x1.5 1.5 6g 61.97 61.73 60.99 60.83 60.344 59.91 6H 60.376 60.676 61.026 61.238 62 62.429 60.5 +63 M63x1.5 M63x1.5 1.5 6g 62.97 62.73 61.99 61.83 61.344 60.91 6H 61.376 61.676 62.026 62.238 63 63.429 61.5 +64 M64x6 M64 6 6g 63.92 63.32 60.02 59.74 57.425 56.047 6H 57.505 58.305 60.103 60.478 64 65.241 58 +64 M64x5.5 M64x5.5 5.5 6g 63.93 63.37 60.35 60.09 57.971 56.7 6H 58.046 58.796 60.428 60.783 64 65.149 58.5 +64 M64x4 M64x4 4 6g 63.94 63.47 61.34 61.11 59.61 58.642 6H 59.67 60.27 61.402 61.717 64 64.892 60 +64 M64x3 M64x3 3 6g 63.95 63.58 62 61.79 60.704 59.943 6H 60.752 61.252 62.051 62.331 64 64.713 61 +64 M64x2 M64x2 2 6g 63.96 63.68 62.66 62.48 61.797 61.251 6H 61.835 62.21 62.701 62.937 64 64.525 62 +64 M64x1.5 M64x1.5 1.5 6g 63.97 63.73 62.99 62.83 62.344 61.91 6H 62.376 62.676 63.026 63.238 64 64.429 62.5 +64 M64x1 M64x1 1 6g 63.97 63.79 63.32 63.18 62.891 62.568 6H 62.917 63.153 63.35 63.54 64 64.334 63 +65 M65x4 M65x4 4 6g 64.94 64.47 62.34 62.11 60.61 59.642 6H 60.67 61.27 62.402 62.717 65 65.892 61 +65 M65x3 M65x3 3 6g 64.95 64.58 63 62.79 61.704 60.943 6H 61.752 62.252 63.051 63.331 65 65.713 62 +65 M65x2 M65x2 2 6g 64.96 64.68 63.66 63.48 62.797 62.251 6H 62.835 63.21 63.701 63.937 65 65.525 63 +65 M65x1.5 M65x1.5 1.5 6g 64.97 64.73 63.99 63.83 63.344 62.91 6H 63.376 63.676 64.026 64.238 65 65.428 63.5 +68 M68x6 M68x6 6 6g 67.92 67.32 64.02 63.74 61.425 60.047 6H 61.505 62.305 64.103 64.478 68 69.241 62 +68 M68x4 M68x4 4 6g 67.94 67.47 65.34 65.11 63.61 62.642 6H 63.67 64.27 65.402 65.717 68 68.892 64 +68 M68x3 M68x3 3 6g 67.95 67.58 66 65.79 64.704 63.943 6H 64.752 65.252 66.051 66.331 68 68.713 65 +68 M68x2 M68x2 2 6g 67.96 67.68 66.66 66.48 65.797 65.251 6H 65.835 66.21 66.701 66.937 68 68.525 66 +68 M68x1.5 M68x1.5 1.5 6g 67.97 67.73 66.99 66.83 66.344 65.91 6H 66.376 66.676 67.026 67.238 68 68.429 66.5 +68 M68x1 M68x1 1 6g 67.97 67.79 67.32 67.18 66.891 66.568 6H 66.917 67.153 67.35 67.54 68 68.334 67 +70 M70x6 M70x6 6 6g 69.92 69.32 66.02 65.74 63.425 62.047 6H 63.505 64.305 66.103 66.478 70 71.241 64 +70 M70x4 M70x4 4 6g 69.94 69.47 67.34 67.11 65.61 64.642 6H 65.67 66.27 67.402 67.717 70 70.892 66 +70 M70x3 M70x3 3 6g 69.95 69.58 68 67.79 66.704 65.943 6H 66.752 67.252 68.051 68.331 70 70.713 67 +70 M70x2 M70x2 2 6g 69.96 69.68 68.66 68.48 67.797 67.251 6H 67.835 68.21 68.701 68.937 70 70.525 68 +70 M70x1.5 M70x1.5 1.5 6g 69.97 69.73 68.99 68.83 68.344 67.91 6H 68.376 68.676 69.026 69.238 70 70.428 68.5 +72 M72x6 M72x6 6 6g 71.92 71.32 68.02 67.74 65.425 64.047 6H 65.505 66.305 68.103 68.478 72 73.241 66 +72 M72x4 M72x4 4 6g 71.94 71.47 69.34 69.11 67.61 66.642 6H 67.67 68.27 69.402 69.717 72 72.892 68 +72 M72x3 M72x3 3 6g 71.95 71.58 70 69.79 68.704 67.943 6H 68.752 69.252 70.051 70.331 72 72.713 69 +72 M72x2 M72x2 2 6g 71.96 71.68 70.66 70.48 69.797 69.251 6H 69.835 70.21 70.701 70.937 72 72.525 70 +72 M72x1.5 M72x1.5 1.5 6g 71.97 71.73 70.99 70.83 70.344 69.91 6H 70.376 70.676 71.026 71.238 72 72.429 70.5 +72 M72x1 M72x1 1 6g 71.97 71.79 71.32 71.18 70.891 70.568 6H 70.917 71.153 71.35 71.54 72 72.334 71 +75 M75x6 M75x6 6 6g 74.92 74.32 71.02 70.74 68.425 67.047 6H 68.505 69.305 71.103 71.478 75 76.241 69 +75 M75x4 M75x4 4 6g 74.94 74.47 72.34 72.11 70.61 69.642 6H 70.67 71.27 72.402 72.717 75 75.892 71 +75 M75x3 M75x3 3 6g 74.95 74.58 73 72.79 71.704 70.943 6H 71.752 72.252 73.051 73.331 75 75.713 72 +75 M75x2 M75x2 2 6g 74.96 74.68 73.66 73.48 72.797 72.251 6H 72.835 73.21 73.701 73.937 75 75.525 73 +75 M75x1.5 M75x1.5 1.5 6g 74.97 74.73 73.99 73.83 73.344 72.91 6H 73.376 73.676 74.026 74.238 75 75.428 73.5 +76 M76x6 M76x6 6 6g 75.92 75.32 72.02 71.74 69.425 68.047 6H 69.505 70.305 72.103 72.478 76 77.241 70 +76 M76x4 M76x4 4 6g 75.94 75.47 73.34 73.11 71.61 70.642 6H 71.67 72.27 73.402 73.717 76 76.892 72 +76 M76x3 M76x3 3 6g 75.95 75.58 74 73.79 72.704 71.943 6H 72.752 73.252 74.051 74.331 76 76.713 73 +76 M76x2 M76x2 2 6g 75.96 75.68 74.66 74.48 73.797 73.251 6H 73.835 74.21 74.701 74.937 76 76.525 74 +76 M76x1.5 M76x1.5 1.5 6g 75.97 75.73 74.99 74.83 74.344 73.91 6H 74.376 74.676 75.026 75.238 76 76.429 74.5 +76 M76x1 M76x1 1 6g 75.97 75.79 75.32 75.18 74.891 74.568 6H 74.917 75.153 75.35 75.54 76 76.334 75 +78 M78x2 M78x2 2 6g 77.96 77.68 76.66 76.48 75.797 75.251 6H 75.835 76.21 76.701 76.937 78 78.525 76 +80 M80x6 M80x6 6 6g 79.92 79.32 76.02 75.74 73.425 72.047 6H 73.505 74.305 76.103 76.478 80 81.241 74 +80 M80x4 M80x4 4 6g 79.94 79.34 77.34 77.11 75.61 74.642 6H 75.67 76.27 77.402 77.717 80 80.892 76 +80 M80x3 M80x3 3 6g 79.95 79.58 78 77.79 76.704 75.943 6H 76.752 77.252 78.051 78.331 80 80.713 77 +80 M80x2 M80x2 2 6g 79.96 79.68 78.66 78.48 77.797 77.251 6H 77.835 78.21 78.701 78.937 80 80.525 78 +80 M80x1.5 M80x1.5 1.5 6g 79.97 79.73 78.99 78.83 78.344 77.91 6H 78.376 78.676 79.026 79.238 80 80.428 78.5 +80 M80x1 M80x1 1 6g 79.97 79.79 79.32 79.18 78.891 78.568 6H 78.917 79.153 79.35 79.54 80 80.334 79 +82 M82x2 M82x2 2 6g 81.96 81.68 80.66 80.48 79.797 79.251 6H 79.835 80.21 80.701 80.937 82 82.525 80 +85 M85x6 M85x6 6 6g 84.92 84.32 81.02 80.74 78.425 77.047 6H 78.505 79.305 81.103 81.478 85 86.241 79 +85 M85x4 M85x4 4 6g 84.94 84.47 82.34 82.11 80.61 79.642 6H 80.67 81.27 82.402 82.717 85 85.892 81 +85 M85x3 M85x3 3 6g 84.95 84.58 83 82.79 81.704 80.943 6H 81.752 82.252 83.051 83.331 85 85.713 82 +85 M85x2 M85x2 2 6g 84.96 84.68 83.66 83.48 82.797 82.251 6H 82.835 83.21 83.701 83.937 85 85.525 83 +85 M85x1.5 M85x1.5 1.5 6g 84.97 84.73 83.99 83.83 83.344 82.91 6H 83.376 83.676 84.026 84.238 85 85.429 83.5 +90 M90x6 M90x6 6 6g 89.92 89.32 86.02 85.74 83.425 82.047 6H 83.505 84.305 86.103 86.478 90 91.241 84 +90 M90x4 M90x4 4 6g 89.94 89.47 87.34 87.11 85.61 84.642 6H 85.67 86.27 87.402 87.717 90 90.892 86 +90 M90x3 M90x3 3 6g 89.95 89.58 88 87.79 86.704 85.943 6H 86.752 87.252 88.051 88.331 90 90.713 87 +90 M90x2 M90x2 2 6g 89.96 89.68 88.66 88.48 87.797 87.251 6H 87.835 88.21 88.701 88.937 90 90.525 88 +90 M90x1.5 M90x1.5 1.5 6g 89.97 89.73 88.99 88.83 88.344 87.91 6H 88.376 88.676 89.026 89.238 90 90.429 88.5 +95 M95x6 M95x6 6 6g 94.92 94.32 91.02 90.72 88.425 87.027 6H 88.505 89.305 91.103 91.503 95 96.266 89 +95 M95x4 M95x4 4 6g 94.94 94.47 92.34 92.09 90.61 89.628 6H 90.67 91.27 92.402 92.737 95 95.912 91 +95 M95x3 M95x3 3 6g 94.95 94.58 93 92.78 91.704 90.931 6H 91.752 92.252 93.051 93.351 95 95.733 92 +95 M95x2 M95x2 2 6g 94.96 94.68 93.66 93.47 92.797 92.241 6H 92.835 93.21 93.701 93.951 95 95.539 93 +95 M95x1.5 M95x1.5 1.5 6g 94.97 94.73 93.99 93.81 93.344 92.89 6H 93.376 93.676 94.026 94.262 95 95.453 93.5 +100 M100x6 M100x6 6 6g 99.92 99.32 96.02 95.72 93.425 92.027 6H 93.505 94.305 96.103 96.503 100 101.27 94 +100 M100x4 M100x4 4 6g 99.94 99.47 97.34 97.09 95.61 94.628 6H 95.67 96.27 97.402 97.737 100 100.91 96 +100 M100x3 M100x3 3 6g 99.95 99.58 98 97.78 96.704 95.931 6H 96.752 97.252 98.051 98.351 100 100.73 97 +100 M100x2 M100x2 2 6g 99.96 99.68 98.66 98.47 97.797 97.241 6H 97.835 98.21 98.701 98.951 100 100.54 98 +100 M100x1.5 M100x1.5 1.5 6g 99.97 99.73 98.99 98.81 98.344 97.89 6H 98.376 98.676 99.026 99.262 100 100.45 98.5 +105 M105x6 M105x6 6 6g 104.9 104.3 101 100.7 98.425 97.027 6H 98.505 99.305 101.1 101.5 105 106.27 99 +105 M105x4 M105x4 4 6g 104.9 104.5 102.3 102.1 100.61 99.628 6H 100.67 101.27 102.4 102.74 105 105.91 101 +105 M105x3 M105x3 3 6g 105 104.6 103 102.8 101.7 100.93 6H 101.75 102.25 103.05 103.35 105 105.73 102 +105 M105x2 M105x2 2 6g 105 104.7 103.7 103.5 102.8 102.24 6H 102.84 103.21 103.7 103.95 105 105.54 103 +105 M105x1.5 M105x1.5 1.5 6g 105 104.7 104 103.8 103.34 102.89 6H 103.38 103.68 104.03 104.26 105 105.45 103.5 +110 M110x6 M110x6 6 6g 109.9 109.3 106 105.7 103.43 102.03 6H 103.51 104.31 106.1 106.5 110 111.27 104 +110 M110x4 M110x4 4 6g 109.9 109.5 107.3 107.1 105.61 104.63 6H 105.67 106.27 107.4 107.74 110 110.91 106 +110 M110x3 M110x3 3 6g 110 109.6 108 107.8 106.7 105.93 6H 106.75 107.25 108.05 108.35 110 110.73 107 +110 M110x2 M110x2 2 6g 110 109.7 108.7 108.5 107.8 107.24 6H 107.84 108.21 108.7 108.95 110 110.54 108 +110 M110x1.5 M110x1.5 1.5 6g 110 109.7 109 108.8 108.34 107.89 6H 108.38 108.68 109.03 109.26 110 110.45 108.5 +115 M115x6 M115x6 6 6g 114.9 114.3 111 110.7 108.43 107.03 6H 108.51 109.31 111.1 111.5 115 116.27 109 +115 M115x4 M115x4 4 6g 114.9 114.5 112.3 112.1 110.61 109.63 6H 110.67 111.27 112.4 112.74 115 115.91 111 +115 M115x3 M115x3 3 6g 115 114.6 113 112.8 111.7 110.93 6H 111.75 112.25 113.05 113.35 115 115.73 112 +115 M115x2 M115x2 2 6g 115 114.7 113.7 113.5 112.8 112.24 6H 112.84 113.21 113.7 113.95 115 115.54 113 +115 M115x1.5 M115x1.5 1.5 6g 115 114.7 114 113.8 113.34 112.89 6H 113.38 113.68 114.03 114.26 115 115.45 113.5 +120 M120x6 M120x6 6 6g 119.9 119.3 116 115.7 113.43 112.03 6H 113.51 114.31 116.1 116.5 120 121.27 114 +120 M120x4 M120x4 4 6g 119.9 119.5 117.3 117.1 115.61 114.63 6H 115.67 116.27 117.4 117.74 120 120.91 116 +120 M120x3 M120x3 3 6g 120 119.6 118 117.8 116.7 115.93 6H 116.75 117.25 118.05 118.35 120 120.73 117 +120 M120x2 M120x2 2 6g 120 119.7 118.7 118.5 117.8 117.24 6H 117.84 118.21 118.7 118.95 120 120.54 118 +120 M120x1.5 M120x1.5 1.5 6g 120 119.7 119 118.8 118.34 117.89 6H 118.38 118.68 119.03 119.26 120 120.45 118.5 +125 M125x8 M125x8 8 6g 124.9 124.2 119.7 119.4 116.24 114.44 6H 116.34 117.34 119.8 120.25 125 126.61 117 +125 M125x6 M125x6 6 6g 124.9 124.3 121 120.7 118.43 117.03 6H 118.51 119.31 121.1 121.5 125 126.27 119 +125 M125x4 M125x4 4 6g 124.9 124.5 122.3 122.1 120.61 119.63 6H 120.67 121.27 122.4 122.74 125 125.91 121 +125 M125x3 M125x3 3 6g 125 124.6 123 122.8 121.7 120.93 6H 121.75 122.25 123.05 123.35 125 125.73 122 +125 M125x2 M125x2 2 6g 125 124.7 123.7 123.5 122.8 122.24 6H 122.84 123.21 123.7 123.95 125 125.54 123 +125 M125x1.5 M125x1.5 1.5 6g 125 124.7 124 123.8 123.34 122.89 6H 123.38 123.68 124.03 124.26 125 125.45 123.5 +130 M130x8 M130x8 8 6g 129.9 129.2 124.7 124.4 121.24 119.44 6H 121.34 122.34 124.8 125.25 130 131.61 122 +130 M130x6 M130x6 6 6g 129.9 129.3 126 125.7 123.43 122.03 6H 123.51 124.31 126.1 126.5 130 131.27 124 +130 M130x4 M130x4 4 6g 129.9 129.5 127.3 127.1 125.61 124.63 6H 125.67 126.27 127.4 127.74 130 130.91 126 +130 M130x3 M130x3 3 6g 130 129.6 128 127.8 126.7 125.93 6H 126.75 127.25 128.05 128.35 130 130.73 127 +130 M130x2 M130x2 2 6g 130 129.7 128.7 128.5 127.8 127.24 6H 127.84 128.21 128.7 128.95 130 130.54 128 +130 M130x1.5 M130x1.5 1.5 6g 130 129.7 129 128.8 128.34 127.89 6H 128.38 128.68 129.03 129.26 130 130.45 128.5 +135 M135x6 M135x6 6 6g 134.9 134.3 131 130.7 128.43 127.03 6H 128.51 129.31 131.1 131.5 135 136.27 129 +135 M135x4 M135x4 4 6g 134.9 134.5 132.3 132.1 130.61 129.63 6H 130.67 131.27 132.4 132.74 135 135.91 131 +135 M135x3 M135x3 3 6g 135 134.6 133 132.8 131.7 130.93 6H 131.75 132.25 133.05 133.35 135 135.73 132 +135 M135x2 M135x2 2 6g 135 134.7 133.7 133.5 132.8 132.24 6H 132.84 133.21 133.7 133.95 135 135.54 133 +135 M135x1.5 M135x1.5 1.5 6g 135 134.7 134 133.8 133.34 132.89 6H 133.38 133.68 134.03 134.26 135 135.45 133.5 +140 M140x8 M140x8 8 6g 139.9 139.2 134.7 134.4 131.24 129.44 6H 131.34 132.34 134.8 135.25 140 141.61 132 +140 M140x6 M140x6 6 6g 139.9 139.3 136 135.7 133.43 132.03 6H 133.51 134.31 136.1 136.5 140 141.27 134 +140 M140x4 M140x4 4 6g 139.9 139.5 137.3 137.1 135.61 134.63 6H 135.67 136.27 137.4 137.74 140 140.91 136 +140 M140x3 M140x3 3 6g 140 139.6 138 137.8 136.7 135.93 6H 136.75 137.25 138.05 138.35 140 140.73 137 +140 M140x2 M140x2 2 6g 140 139.7 138.7 138.5 137.8 137.24 6H 137.84 138.21 138.7 138.95 140 140.54 138 +140 M140x1.5 M140x1.5 1.5 6g 140 139.7 139 138.8 138.34 137.89 6H 138.38 138.68 139.03 139.26 140 140.45 138.5 +145 M145x6 M145x6 6 6g 144.9 144.3 141 140.7 138.43 137.03 6H 138.51 139.31 141.1 141.5 145 146.27 139 +145 M145x4 M145x4 4 6g 144.9 144.5 142.3 142.1 140.61 139.63 6H 140.67 141.27 142.4 142.74 145 145.91 141 +145 M145x3 M145x3 3 6g 145 144.6 143 142.8 141.7 140.93 6H 141.75 142.25 143.05 143.35 145 145.73 142 +145 M145x2 M145x2 2 6g 145 144.7 143.7 143.5 142.8 142.24 6H 142.84 143.21 143.7 143.95 145 145.54 143 +145 M145x1.5 M145x1.5 1.5 6g 145 144.7 144 143.8 143.34 142.89 6H 143.38 143.68 144.03 144.26 145 145.45 143.5 +150 M150x8 M150x8 8 6g 149.9 149.2 144.7 144.4 141.24 139.44 6H 141.34 142.34 144.8 145.25 150 151.61 142 +150 M150x6 M150x6 6 6g 149.9 149.3 146 145.7 143.43 142.03 6H 143.51 144.31 146.1 146.5 150 151.27 144 +150 M150x4 M150x4 4 6g 149.9 149.5 147.3 147.1 145.61 144.63 6H 145.67 146.27 147.4 147.74 150 150.91 146 +150 M150x3 M150x3 3 6g 150 149.6 148 147.8 146.7 145.93 6H 146.75 147.25 148.05 148.35 150 150.73 147 +150 M150x2 M150x2 2 6g 150 149.7 148.7 148.5 147.8 147.24 6H 147.84 148.21 148.7 148.95 150 150.54 148 +150 M150x1.5 M150x1.5 1.5 6g 150 149.7 149 148.8 148.34 147.89 6H 148.38 148.68 149.03 149.26 150 150.45 148.5 +155 M155x6 M155x6 6 6g 154.9 154.3 151 150.7 148.43 147.03 6H 148.51 149.31 151.1 151.5 155 156.27 149 +155 M155x4 M155x4 4 6g 154.9 154.5 152.3 152.1 150.61 149.63 6H 150.67 151.27 152.4 152.74 155 155.91 151 +155 M155x3 M155x3 3 6g 155 154.6 153 152.8 151.7 150.93 6H 151.75 152.25 153.05 153.35 155 155.73 152 +155 M155x2 M155x2 2 6g 155 154.7 153.7 153.5 152.8 152.24 6H 152.84 153.21 153.7 153.95 155 155.54 153 +160 M160x8 M160x8 8 6g 159.9 159.2 154.7 154.4 151.24 149.44 6H 151.34 152.34 154.8 155.25 160 161.61 152 +160 M160x6 M160x6 6 6g 159.9 159.3 156 155.7 153.43 152.03 6H 153.51 154.31 156.1 156.5 160 161.27 154 +160 M160x4 M160x4 4 6g 159.9 159.5 157.3 157.1 155.61 154.63 6H 155.67 156.27 157.4 157.74 160 160.91 156 +160 M160x3 M160x3 3 6g 160 159.6 158 157.8 156.7 155.93 6H 156.75 157.25 158.05 158.35 160 160.73 157 +160 M160x2 M160x2 2 6g 160 159.7 158.7 158.5 157.8 157.24 6H 157.84 158.21 158.7 158.95 160 160.54 158 +165 M165x6 M165x6 6 6g 164.9 164.3 161 160.7 158.43 157.03 6H 158.51 159.31 161.1 161.5 165 166.27 159 +165 M165x4 M165x4 4 6g 164.9 164.5 162.3 162.1 160.61 159.63 6H 160.67 161.27 162.4 162.74 165 165.91 161 +165 M165x3 M165x3 3 6g 165 164.6 163 162.8 161.7 160.93 6H 161.75 162.25 163.05 163.35 165 165.73 162 +165 M165x2 M165x2 2 6g 165 164.7 163.7 163.5 162.8 162.24 6H 162.84 163.21 163.7 163.95 165 165.54 163 +170 M170x8 M170x8 8 6g 169.9 169.2 164.7 164.4 161.24 159.44 6H 161.34 162.34 164.8 165.25 170 171.61 162 +170 M170x6 M170x6 6 6g 169.9 169.3 166 165.7 163.43 162.03 6H 163.51 164.31 166.1 166.5 170 171.27 164 +170 M170x4 M170x4 4 6g 169.9 169.5 167.3 167.1 165.61 164.63 6H 165.67 166.27 167.4 167.74 170 170.91 166 +170 M170x3 M170x3 3 6g 170 169.6 168 167.8 166.7 165.93 6H 166.75 167.25 168.05 168.35 170 170.73 167 +170 M170x2 M170x2 2 6g 170 169.7 168.7 168.5 167.8 167.24 6H 167.84 168.21 168.7 168.95 170 170.54 168 +175 M175x6 M175x6 6 6g 174.9 174.3 171 170.7 168.43 167.03 6H 168.51 169.31 171.1 171.5 175 176.27 169 +175 M175x4 M175x4 4 6g 174.9 174.5 172.3 172.1 170.61 169.63 6H 170.67 171.27 172.4 172.74 175 175.91 171 +175 M175x3 M175x3 3 6g 175 174.6 173 172.8 171.7 170.93 6H 171.75 172.25 173.05 173.35 175 175.73 172 +175 M175x2 M175x2 2 6g 175 174.7 173.7 173.5 172.8 172.24 6H 172.84 173.21 173.7 173.95 175 175.54 173 +180 M180x8 M180x8 8 6g 179.9 179.2 174.7 174.4 171.24 169.44 6H 171.34 172.34 174.8 175.25 180 181.61 172 +180 M180x6 M180x6 6 6g 179.9 179.3 176 175.7 173.43 172.03 6H 173.51 174.31 176.1 176.5 180 181.27 174 +180 M180x4 M180x4 4 6g 179.9 179.5 177.3 177.1 175.61 174.63 6H 175.67 176.27 177.4 177.74 180 180.91 176 +180 M180x3 M180x3 3 6g 180 179.6 178 177.8 176.7 175.93 6H 176.75 177.25 178.05 178.35 180 180.73 177 +180 M180x2 M180x2 2 6g 180 179.7 178.7 178.5 177.8 177.24 6H 177.84 178.21 178.7 178.95 180 180.54 178 +185 M185x6 M185x6 6 6g 184.9 184.3 181 180.7 178.43 177.01 6H 178.51 179.31 181.1 181.53 185 186.29 179 +185 M185x4 M185x4 4 6g 184.9 184.5 182.3 182.1 180.61 179.6 6H 180.67 181.27 182.4 182.78 185 185.95 181 +185 M185x3 M185x3 3 6g 185 184.6 183 182.8 181.7 180.91 6H 181.75 182.25 183.05 183.39 185 185.77 182 +185 M185x2 M185x2 2 6g 185 184.7 183.7 183.5 182.8 182.22 6H 182.84 183.21 183.7 183.98 185 185.57 183 +190 M190x8 M190x8 8 6g 189.9 189.2 184.7 184.3 181.24 179.42 6H 181.34 182.34 184.8 185.28 190 191.63 182 +190 M190x6 M190x6 6 6g 189.9 189.3 186 185.7 183.43 182.01 6H 183.51 184.31 186.1 186.53 190 191.29 184 +190 M190x4 M190x4 4 6g 189.9 189.5 187.3 187.1 185.61 184.6 6H 185.67 186.27 187.4 187.78 190 190.95 186 +190 M190x3 M190x3 3 6g 190 189.6 188 187.8 186.7 185.91 6H 186.75 187.25 188.05 188.39 190 190.77 187 +190 M190x2 M190x2 2 6g 190 189.7 188.7 188.5 187.8 187.22 6H 187.84 188.21 188.7 188.98 190 190.57 188 +195 M195x6 M195x6 6 6g 194.9 194.3 191 190.7 188.43 187.01 6H 188.51 189.31 191.1 191.53 195 196.29 189 +195 M195x4 M195x4 4 6g 194.9 194.5 192.3 192.1 190.61 189.6 6H 190.67 191.27 192.4 192.78 195 195.95 191 +195 M195x3 M195x3 3 6g 195 194.6 193 192.8 191.7 190.91 6H 191.75 192.25 193.05 193.39 195 195.77 192 +195 M195x2 M195x2 2 6g 195 194.7 193.7 193.5 192.8 192.22 6H 192.84 193.21 193.7 193.98 195 195.57 193 +200 M200x8 M200x8 8 6g 199.9 199.2 194.7 194.3 191.24 189.42 6H 191.34 192.34 194.8 195.28 200 201.63 192 +200 M200x6 M200x6 6 6g 199.9 199.3 196 195.7 193.43 192.01 6H 193.51 194.31 196.1 196.53 200 201.29 194 +200 M200x4 M200x4 4 6g 199.9 199.5 197.3 197.1 195.61 194.6 6H 195.67 196.27 197.4 197.78 200 200.95 196 +200 M200x3 M200x3 3 6g 200 199.6 198 197.8 196.7 195.91 6H 196.75 197.25 198.05 198.39 200 200.77 197 +200 M200x2 M200x2 2 6g 200 199.7 198.7 198.5 197.8 197.22 6H 197.84 198.21 198.7 198.98 200 200.57 198 +205 M205x6 M205x6 6 6g 204.9 204.3 201 200.7 198.43 197.01 6H 198.51 199.31 201.1 201.53 205 206.29 199 +205 M205x4 M205x4 4 6g 204.9 204.5 202.3 202.1 200.61 199.6 6H 200.67 201.27 202.4 202.78 205 205.95 201 +205 M205x3 M205x3 3 6g 205 204.6 203 202.8 201.7 200.91 6H 201.75 202.25 203.05 203.39 205 205.77 202 +205 M205x2 M205x2 2 6g 205 204.7 203.7 203.5 202.8 202.22 6H 202.84 203.21 203.7 203.98 205 205.57 203 +210 M210x8 M210x8 8 6g 209.9 209.2 204.7 204.3 201.24 199.42 6H 201.34 202.34 204.8 205.28 210 211.63 202 +210 M210x6 M210x6 6 6g 209.9 209.3 206 205.7 203.43 202.01 6H 203.51 204.31 206.1 206.53 210 211.29 204 +210 M210x4 M210x4 4 6g 209.9 209.5 207.3 207.1 205.61 204.6 6H 205.67 206.27 207.4 207.78 210 210.95 206 +210 M210x3 M210x3 3 6g 210 209.6 208 207.8 206.7 205.91 6H 206.75 207.25 208.05 208.39 210 210.77 207 +210 M210x2 M210x2 2 6g 210 209.7 208.7 208.5 207.8 207.22 6H 207.84 208.21 208.7 208.98 210 210.57 208 +215 M215x6 M215x6 6 6g 214.9 214.3 211 210.7 208.43 207.01 6H 208.51 209.31 211.1 211.53 215 216.29 209 +215 M215x4 M215x4 4 6g 214.9 214.5 212.3 212.1 210.61 209.6 6H 210.67 211.27 212.4 212.78 215 215.95 211 +215 M215x3 M215x3 3 6g 215 214.6 213 212.8 211.7 210.91 6H 211.75 212.25 213.05 213.39 215 215.77 212 +220 M220x8 M220x8 8 6g 219.9 219.2 214.7 214.3 211.24 209.42 6H 211.34 212.34 214.8 215.28 220 221.63 212 +220 M220x6 M220x6 6 6g 219.9 219.3 216 215.7 213.43 212.01 6H 213.51 214.31 216.1 216.53 220 221.29 214 +220 M220x4 M220x4 4 6g 219.9 219.5 217.3 217.1 215.61 214.6 6H 215.67 216.27 217.4 217.78 220 220.95 216 +220 M220x3 M220x3 3 6g 220 219.6 218 217.8 216.7 215.91 6H 216.75 217.25 218.05 218.39 220 220.77 217 +220 M220x2 M220x2 2 6g 220 219.7 218.7 218.5 217.8 217.22 6H 217.84 218.21 218.7 218.98 220 220.57 218 +225 M225x6 M225x6 6 6g 224.9 224.5 221 220.7 218.43 217.01 6H 218.51 219.31 221.1 221.53 225 226.29 219 +225 M225x4 M225x4 4 6g 224.9 224.5 222.3 222.1 220.61 219.6 6H 220.67 221.27 222.4 222.78 225 225.95 221 +225 M225x3 M225x3 3 6g 225 224.6 223 222.8 221.7 220.91 6H 221.75 222.25 223.05 223.39 225 225.77 222 +225 M225x2 M225x2 2 6g 225 224.7 223.7 223.5 222.8 222.22 6H 222.84 223.21 223.7 223.98 225 225.57 223 +230 M230x6 M230x6 6 6g 229.9 229.3 226 225.7 223.43 222.01 6H 223.51 224.31 226.1 226.53 230 231.29 224 +230 M230x4 M230x4 4 6g 229.9 229.5 227.3 227.1 225.61 224.6 6H 225.67 226.27 227.4 227.78 230 230.95 226 +230 M230x3 M230x3 3 6g 230 229.6 228 227.8 226.7 225.91 6H 226.75 227.25 228.05 228.39 230 230.77 227 +230 M230x2 M230x2 2 6g 230 229.7 228.7 228.5 227.8 227.22 6H 227.84 228.21 228.7 228.98 230 230.57 228 +235 M235x6 M235x6 6 6g 234.9 234.3 231 230.7 228.43 226.97 6H 228.51 229.31 231.1 231.58 235 236.34 229 +235 M235x4 M235x4 4 6g 234.9 234.5 232.3 232.1 230.61 229.6 6H 230.67 231.27 232.4 232.78 235 235.95 231 +235 M235x3 M235x3 3 6g 235 234.6 233 232.8 231.7 230.91 6H 231.75 232.25 233.05 233.39 235 235.77 232 +240 M240x8 M240x8 8 6g 239.9 239.2 234.7 234.3 231.24 229.42 6H 231.34 232.34 234.8 235.28 240 241.63 232 +240 M240x6 M240x6 6 6g 239.9 239.3 236 235.7 233.43 232.01 6H 233.51 234.31 236.1 236.53 240 241.29 234 +240 M240x4 M240x4 4 6g 239.9 239.5 237.3 237.1 235.61 234.6 6H 235.67 236.27 237.4 237.78 240 240.95 236 +240 M240x3 M240x3 3 6g 240 239.6 238 237.8 236.7 235.91 6H 236.75 237.25 238.05 238.39 240 240.77 237 +240 M240x2 M240x2 2 6g 240 239.7 238.7 238.5 237.8 237.22 6H 237.84 238.21 238.7 238.98 240 240.57 238 +245 M245x6 M245x6 6 6g 244.9 244.3 241 240.7 238.43 237.01 6H 238.51 239.31 241.1 241.53 245 246.29 239 +245 M245x4 M245x4 4 6g 244.9 244.5 242.3 242.1 240.61 239.6 6H 240.67 241.27 242.4 242.78 245 245.95 241 +245 M245x3 M245x3 3 6g 245 244.6 243 242.8 241.7 240.91 6H 241.75 242.25 243.05 243.39 245 245.77 242 +245 M245x2 M245x2 2 6g 245 244.7 243.7 243.5 242.8 242.22 6H 242.84 243.21 243.7 243.98 245 245.57 243 +250 M250x8 M250x8 8 6g 249.9 249.2 244.7 244.3 241.24 239.42 6H 241.34 242.34 244.8 245.28 250 251.63 242 +250 M250x6 M250x6 6 6g 249.9 249.3 246 245.7 243.43 242.01 6H 243.51 244.31 246.1 246.53 250 251.29 244 +250 M250x4 M250x4 4 6g 249.9 249.5 247.3 247.1 245.61 244.6 6H 245.67 246.27 247.4 247.78 250 250.95 246 +250 M250x3 M250x3 3 6g 250 249.6 248 247.8 246.7 245.91 6H 246.75 247.25 248.05 248.39 250 250.77 247 +250 M250x2 M250x2 2 6g 250 249.7 248.7 248.5 247.8 247.22 6H 247.84 248.21 248.7 248.98 250 250.57 248 +255 M255x6 M255x6 6 6g 254.9 254.3 251 250.7 248.43 246.97 6H 248.51 249.31 251.1 251.58 255 256.34 249 +255 M255x4 M255x4 4 6g 254.9 254.5 252.3 252.1 250.61 249.6 6H 250.67 251.27 252.4 252.78 255 255.95 251 +255 M255x3 M255x3 3 6g 255 254.6 253 252.8 251.7 250.91 6H 251.75 252.25 253.05 253.39 255 255.77 252 +260 M260x8 M260x8 8 6g 259.9 259.2 254.7 254.3 251.24 249.42 6H 251.34 252.34 254.8 255.28 260 261.63 252 +260 M260x6 M260x6 6 6g 259.9 259.3 256 255.7 253.43 252.01 6H 253.51 254.31 256.1 256.53 260 261.29 254 +260 M260x4 M260x4 4 6g 259.9 259.5 257.3 257.1 255.61 254.6 6H 255.67 256.27 257.4 257.78 260 260.95 256 +260 M260x3 M260x3 3 6g 260 259.6 258 257.8 256.7 255.91 6H 256.75 257.25 258.05 258.39 260 260.77 257 +265 M265x6 M265x6 6 6g 264.9 264.3 261 260.7 258.43 257.01 6H 258.51 259.31 261.1 261.53 265 266.29 259 +265 M265x4 M265x4 4 6g 264.9 264.5 262.3 262.1 260.61 259.6 6H 260.67 261.27 262.4 262.78 265 265.95 261 +265 M265x3 M265x3 3 6g 265 264.6 263 262.8 261.7 260.91 6H 261.75 262.25 263.05 263.39 265 265.77 262 +270 M270x6 M270x6 6 6g 269.9 269.3 266 265.7 263.43 262.01 6H 263.51 264.31 266.1 266.53 270 271.29 264 +270 M270x4 M270x4 4 6g 269.9 269.5 267.3 267.1 265.61 264.6 6H 265.67 266.27 267.4 267.78 270 270.95 266 +270 M270x3 M270x3 3 6g 270 269.6 268 267.8 266.7 265.91 6H 266.75 267.25 268.05 268.39 270 270.77 267 +275 M275x6 M275x6 6 6g 274.9 274.3 271 270.7 268.43 267.01 6H 268.51 269.31 271.1 271.53 275 276.29 269 +275 M275x4 M275x4 4 6g 274.9 274.5 272.3 272.1 270.61 269.6 6H 270.67 271.27 272.4 272.78 275 275.95 271 +275 M275x3 M275x3 3 6g 275 274.6 273 272.8 271.7 270.91 6H 271.75 272.25 273.05 273.39 275 275.77 272 +280 M280x8 M280x8 8 6g 279.9 279.2 274.7 274.3 271.24 269.42 6H 271.34 272.34 274.8 275.28 280 281.63 272 +280 M280x6 M280x6 6 6g 279.9 279.3 276 275.7 273.43 272.01 6H 273.51 274.31 276.1 276.53 280 281.29 274 +280 M280x4 M280x4 4 6g 279.9 279.5 277.3 277.1 275.61 274.6 6H 275.67 276.27 277.4 277.78 280 280.95 276 +280 M280x3 M280x3 3 6g 280 279.6 278 277.8 276.7 275.91 6H 276.75 277.25 278.05 278.39 280 280.77 277 +285 M285x6 M285x6 6 6g 284.9 284.3 281 280.7 278.43 277.01 6H 278.51 279.31 281.1 281.53 285 286.29 279 +285 M285x4 M285x4 4 6g 284.9 284.5 282.3 282.1 280.61 279.6 6H 280.67 281.27 282.4 282.78 285 285.95 281 +285 M285x3 M285x3 3 6g 285 284.6 283 282.8 281.7 280.91 6H 281.75 282.25 283.05 283.39 285 285.77 282 +290 M290x6 M290x6 6 6g 289.9 289.3 286 285.7 283.43 282.01 6H 283.51 284.31 286.1 286.53 290 291.29 284 +290 M290x4 M290x4 4 6g 289.9 289.5 287.3 287.1 285.61 284.6 6H 285.67 286.27 287.4 287.78 290 290.95 286 +290 M290x3 M290x3 3 6g 290 289.6 288 287.8 286.7 285.91 6H 286.75 287.25 288.05 288.39 290 290.77 287 +295 M295x6 M295x6 6 6g 294.9 294.3 291 290.7 288.43 287.01 6H 288.51 289.31 291.1 291.53 295 296.29 289 +295 M295x4 M295x4 4 6g 294.9 294.5 292.3 292.1 290.61 289.6 6H 290.67 291.27 292.4 292.78 295 295.95 291 +295 M295x3 M295x3 3 6g 295 294.6 293 292.8 291.7 290.91 6H 291.75 292.25 293.05 293.39 295 295.77 292 +300 M300x8 M300x8 8 6g 299.9 299.2 294.7 294.3 291.24 289.42 6H 291.34 292.34 294.8 295.28 300 301.63 292 +300 M300x6 M300x6 6 6g 299.9 299.3 296 295.7 293.43 292.01 6H 293.51 294.31 296.1 296.53 300 301.29 294 +300 M300x4 M300x4 4 6g 299.9 299.5 297.3 297.1 295.61 294.6 6H 295.67 296.27 297.4 297.78 300 300.95 296 +300 M300x3 M300x3 3 6g 300 299.6 298 297.8 296.7 295.91 6H 296.75 297.25 298.05 298.39 300 300.77 297 +310 M310x6 M310x6 6 6g 309.9 309.3 306 305.7 303.43 302.01 6H 303.51 304.31 306.1 306.53 310 311.29 304 +310 M310x4 M310x4 4 6g 309.9 309.5 307.3 307.1 305.61 304.6 6H 305.67 306.27 307.4 307.78 310 310.95 306 +320 M320x6 M320x6 6 6g 319.9 319.3 316 315.7 313.43 312.01 6H 313.51 314.31 316.1 316.53 320 321.29 314 +320 M320x4 M320x4 4 6g 319.9 319.5 317.3 317.1 315.61 314.6 6H 315.67 316.27 317.4 317.78 320 320.95 316 +330 M330x6 M330x6 6 6g 329.9 329.3 326 325.7 323.43 322.01 6H 323.51 324.31 326.1 326.53 330 331.29 324 +330 M330x4 M330x4 4 6g 329.9 329.5 327.3 327.1 325.61 324.6 6H 325.67 326.27 327.4 327.78 330 330.95 326 +340 M340x6 M340x6 6 6g 339.9 339.3 336 335.7 333.43 332.01 6H 333.51 334.31 336.1 336.53 340 341.29 334 +340 M340x4 M340x4 4 6g 339.9 339.5 337.3 337.1 335.61 334.6 6H 335.67 336.27 337.4 337.78 340 340.95 336 +350 M350x6 M350x6 6 6g 349.9 349.3 346 345.7 343.43 342.01 6H 343.51 344.31 346.1 346.53 350 351.29 344 +350 M350x4 M350x4 4 6g 349.9 349.5 347.3 347.1 345.61 344.6 6H 345.67 346.27 347.4 347.78 350 350.95 346 +360 M360x6 M360x6 6 6g 359.9 359.3 356 355.7 353.43 351.97 6H 353.51 354.31 356.1 356.58 360 361.34 354 +360 M360x4 M360x4 4 6g 359.9 359.5 357.3 357 355.61 354.58 6H 355.67 356.27 357.4 357.8 360 360.98 356 +370 M370x6 M370x6 6 6g 369.9 369.3 366 365.7 363.43 361.97 6H 363.51 364.31 366.1 366.58 370 371.34 364 +370 M370x4 M370x4 4 6g 369.9 369.5 367.3 367 365.61 364.58 6H 365.67 366.27 367.4 367.8 370 370.98 366 +380 M380x6 M380x6 6 6g 379.9 379.3 376 375.7 373.43 371.97 6H 373.51 374.31 376.1 376.58 380 381.34 374 +380 M380x4 M380x4 4 6g 379.9 379.5 377.3 377 375.61 374.58 6H 375.67 376.27 377.4 377.8 380 380.98 376 +390 M390x6 M390x6 6 6g 389.9 389.3 386 385.7 383.43 381.97 6H 383.51 384.31 386.1 386.58 390 391.34 384 +390 M390x4 M390x4 4 6g 389.9 389.5 387.3 387 385.61 384.58 6H 385.67 386.27 387.4 387.8 390 390.98 386 +400 M400x6 M400x6 6 6g 399.9 399.3 396 395.7 393.43 391.97 6H 393.51 394.31 396.1 396.58 400 401.34 394 +400 M400x4 M400x4 4 6g 399.9 399.5 397.3 397 395.61 394.58 6H 395.67 396.27 397.4 397.8 400 400.98 396 +410 M410x6 M410x6 6 6g 409.9 409.3 406 405.7 403.43 401.97 6H 403.51 404.31 406.1 406.58 410 411.34 404 +420 M420x6 M420x6 6 6g 419.9 419.3 416 415.7 413.43 411.97 6H 413.51 414.31 416.1 416.58 420 421.34 414 +430 M430x6 M430x6 6 6g 429.9 429.3 426 425.7 423.43 421.97 6H 423.51 424.31 426.1 426.58 430 431.34 424 +440 M440x6 M440x6 6 6g 439.9 439.3 436 435.7 433.43 431.97 6H 433.51 434.31 436.1 436.58 440 441.34 434 +450 M450x6 M450x6 6 6g 449.9 449.3 446 445.7 443.43 441.97 6H 443.51 444.31 446.1 446.58 450 451.34 444 +460 M460x6 M460x6 6 6g 459.9 459.3 456 455.7 453.43 451.97 6H 453.51 454.31 456.1 456.58 460 461.34 454 +470 M470x6 M470x6 6 6g 469.9 469.3 466 465.7 463.43 461.97 6H 463.51 464.31 466.1 466.58 470 471.34 464 +480 M480x6 M480x6 6 6g 479.9 479.3 476 475.7 473.43 471.97 6H 473.51 474.31 476.1 476.58 480 481.34 474 +490 M490x6 M490x6 6 6g 489.9 489.3 486 485.7 483.43 481.97 6H 483.51 484.31 486.1 486.58 490 491.34 484 +500 M500x6 M500x6 6 6g 499.9 499.3 496 495.7 493.43 491.97 6H 493.51 494.31 496.1 496.58 500 501.34 494 +510 M510x6 M510x6 6 6g 509.9 509.3 506 505.7 503.43 501.97 6H 503.51 504.31 506.1 506.58 510 511.34 504 +520 M520x6 M520x6 6 6g 519.9 519.3 516 515.7 513.43 511.97 6H 513.51 514.31 516.1 516.58 520 521.34 514 +530 M530x6 M530x6 6 6g 529.9 529.3 526 525.7 523.43 521.97 6H 523.51 524.31 526.1 526.58 530 531.34 524 +540 M540x6 M540x6 6 6g 539.9 539.3 536 535.7 533.43 531.97 6H 533.51 534.31 536.1 536.58 540 541.34 534 +550 M550x6 M550x6 6 6g 549.9 549.3 546 545.7 543.43 541.97 6H 543.51 544.31 546.1 546.58 550 551.34 544 +560 M560x6 M560x6 6 6g 559.9 559.3 556 555.7 553.43 551.97 6H 553.51 554.31 556.1 556.58 560 561.34 554 +570 M570x6 M570x6 6 6g 569.9 569.3 566 565.7 563.43 561.97 6H 563.51 564.31 566.1 566.58 570 571.34 564 +580 M580x6 M580x6 6 6g 579.9 579.3 576 575.7 573.43 571.97 6H 573.51 574.31 576.1 576.58 580 581.34 574 +590 M590x6 M590x6 6 6g 589.9 589.3 586 585.7 583.43 581.97 6H 583.51 584.31 586.1 586.58 590 591.34 584 +600 M600x6 M600x6 6 6g 599.9 599.3 596 595.7 593.43 591.97 6H 593.51 594.31 596.1 596.58 600 601.34 594 diff --git a/design/threads.xlsx b/design/threads.xlsx deleted file mode 100644 index b0931d8..0000000 Binary files a/design/threads.xlsx and /dev/null differ diff --git a/docs/BSPPthread.md b/docs/BSPPthread.md new file mode 100644 index 0000000..3b05618 --- /dev/null +++ b/docs/BSPPthread.md @@ -0,0 +1,26 @@ +# The Calculations Behind BSP-Parallel Thread + +The general approach is described in [Creating Thread Specs](./CreatingThreadSpecs.md). We explain the math here. The following figure is of great help to understand what is going on. Black profile: theoretical parting line. The profiles we are going to create are red (internal thread) and blue (external thread). Note that the red and blue profiles are drawn assuming identical pitch diameters for both to clarify the figure. However, in reality external and internal threads do not have the same pitch diameter (see below). + +![Parting line of BSP-parallel thread with simplified external and internal thread profiles overlayed](imgs/BSPthread.jpg) + +The relevant translation in done in the function calculateThreadlibSpecs() in BSPP_thread.awk. + +Steps: + +- Pitch (P): Taken from table BSPP_thread.csv +- Pitch diameter: external threads aim for a somewhat smaller pitch diameter (DPitchExt), internal threads for a larger one (DPitchInt). threadlib aims at the center of the acceptable range given in BSPP_thread.csv. For external thread, we have to choose between class A and class B. We decided for class A. +- Major diameter (for external thread, think minor diameter for internal thread) is chosen in the center of the acceptable range given in BSPP_thread.csv => DMaxExt, DMinInt +- Support diameter (DSupportExt, DSupportInt): Must be on the right side of the parting line. Otherwise no requirements from the norm. We choose the pitch diameter +/- 2 * 5/12 * H, where H is the full heigt of the fundamental triangle and +/- depends on external / internal thread. This is the middle between intended major / minor diameter and the corner of the fundamental triangle. +- The valleys of the actual part will be defined by the support (see above). The valleys of the profile are chosen to overlap somewhat with the support => DValleyExt, DValleyInt (these correspond to Rrot). + + +However, this is not yet what we need. As we do not want the rounding in the profile, we have to adjust the "crest" diameters of the straightened profile accordingly. Again, the criterion is to define create a profile that strictly remains on its own side of the parting line. + +![Formula to calculate r_crest](https://quicklatex.com/cache3/38/ql_000121f710d4df1820cd5937b27b7838_l3.png) + +![The 4 points of the thread profile in OpenSCADs x-y plane](imgs/ThreadProfile.png) + +Finally, we need the points (dr_i, z_i) of the thread profile. The radii are +simple: 0, 0, (DCrest - DValley) / 2, (DCrest - DValley) / 2. To calculate the corresponding z-values, we use the triangle given by (half of) the crest / valley line and the corner of the fundamental triangle (compare first figure). Half of the lines length is then calculated as the height of said triangle times tan(phi/2). Using this we calculate all 4 z-values from the crest- and valley radii. + diff --git a/docs/CreatingThreadSpecs.md b/docs/CreatingThreadSpecs.md new file mode 100644 index 0000000..d2344c2 --- /dev/null +++ b/docs/CreatingThreadSpecs.md @@ -0,0 +1,137 @@ +# Creating Thread Specs + +In the following, we explain how a thread spec (i.e., an entry in THREAD_TABLE) is created. First, we will explain the basics of threads and how they are specified in the norms. Then, we will ellaborate on the specifics to translate those into threadlib thread specs. + + +## Thread Basics + + +To do this, we use British Standard Pipe parallel (BSPP) thread as an example (see drawing below). The bold curve shows the parting line between internal and external thread. In an ideal world, both threads are created according to the parting line. The parting line of BSP thread is based on a fundamental triangle with a 55-degree angle rounded to a radius r. + +![BSPP thread drawing](http://mdmetric.com/tech/55deg228.gif) + + BSPP thread drawing. Source: Maryland Metrics. + +Reality is a bit more complicated: If one of the threads deviates only a little in the wrong direction, the threads collide. Therefore, the pitch radius r_pitch (radius where distance between falling and rising edges is exactly P/2) of the external thread has to be reduced a little bit (and vice versa for the internal thread). Also, major and minor radii are adjusted so that the real thread is guaranteed to remain on its own side of the theoretical parting line. + +Of course, it is not ok to introduce arbitrarily large allowances: The norm (BS EN ISO 228-1: 2003 in this case) gives the necessary constraints. Quoting [Maryland Metrics thread data charts for BSP thread](http://mdmetric.com/tech/thddat7.htm): + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
Tolerances on pitch diameteraTolerance on minor diameterTolerance on major diameter
DiametersInternal thread TD2External thread Td2Internal thread TD1External thread Td
Desig-nation of threadNumber of threads in 25.4 mmPitch PHeight of thread hmajor d = Dpitch d2 = D2minor d1 = D1Lower deviationUpper deviationLower deviation Class ALower deviation Class BUpper deviationLower deviationUpper deviationLower deviationUpper deviation
1/16280.9070.5817.7237.1426.56100.107-0.107-0.214000.282-0.2140
1/8280.9070.5819.7289.1478.56600.107-0.107-0.214000.282-0.2140
1/4191.3370.85613.15712.30111.44500.125-0.125-0.25000.445-0.250
+ + +## Deriving threadlib Specs + +To simplify the thread profile, we want to avoid the rounding and replace it by a trapezoidal edge as shown in here (red: internal, blue external thread): + +![threadlib profile compared to BSP parting line](imgs/BSPthread.jpg) + +It is clear that we have to match the pitch as accurately as possible. Therefore, threadlibs P is equal to the pitch in the norm (for G1/16: 0.907 mm). + +Then, we choose the pitch diameter to be in the center of the given tolerance range. For G1/16 this is (7.723 + 0.107/2) mm. + +To explain the choice of r_major and r_minor for both external and internal threads simultaneously, we use the terms r_crest and r_valley. r_crest is the major/minor radius (external/internal) and r_valley is the minor/major radius (external/internal). The norm does not give limits for r_valley. But threadlib requires that the threadprofile covers *less* than 1 pitch of thread. Therefore, we arbitrarily choose a small but finite width of "valley floor" that leaves ample clearance to the parting line. For r_crest, we to take into account + +a) the allowed deviations given in the norm +b) the rounding (that we want to leave away) + +The former is simple: We aim for the center. The latter requires a little math: We want our piecewise linear profile to remain on one side of the (true) BSP profile. Therefore, our crest radius has to be equal to the radius where the straight rising edge of the BSP profile touches the circle of the rounding. + + +## Adding Specs to threadlib + +To get the threads into threadlib, we currently do the following: + +- Add csv-file with original thread specs in design (e.g., "newthreads.csv") +- Write an awk script (e.g., design/newthreads.awk) that translates this .csv file to tabular threadlib specs +- Modify Makefile: Add a line like "cat design/newthreads.csv | awk -f design/newthreads.awk >> design/THREAD_TABLE.csv") +- design/autogenerate.awk will translate the resulting THREAD_TABLE.csv into the final THREAD_TABLE.scad (same as the .csv but with added quoting and bracketing). + +Furthermore, we should extend tests/test_table.awk to test our newly created threads. The very minimum is to add a test for the thread angles. Perform the tests by running 'make test' in the top-level directory or 'make' inside the tests subdirectory. If it prints "TESTS SUCCESSFUL" you are probably fine. Note: If you have a thread spec that is not tested at all, the tests will fail, too. + diff --git a/docs/DesignOfThreadlib.md b/docs/DesignOfThreadlib.md new file mode 100644 index 0000000..bda742e --- /dev/null +++ b/docs/DesignOfThreadlib.md @@ -0,0 +1,52 @@ +# Design of threadlib + +The structure of threadlib is very simple and consists of only two files: + +- threadlib.scad +- THREAD_TABLE.scad + +The former provides the code to generate threads, bolts, and nuts. The latter simply holds a large dictionary (named THREAD_TABLE) providing the thread-specs given a thread-designator. + +THREAD_TABLE is a vector of vectors called "entries". Every entry has the following format: + + + [DESIGNATOR, [P, Rrot, Dsup, profile]] + +where + +- DESIGNATOR: Name of thread. E.g. "M6x0.5-ext" +- P: Pitch of the thread +- Rrot: Radius of rotation used for later "extrusion" of the thread. Rrot is positive for external threads and negative for internal threads. +- Dsup: Recommended diameter of support structure of the thread (i.e., of cylinder for external thread and hole for internal thread) +- profile: A vector of 2D [delta_r, z]-vectors describing the shape of the thread + +Let's look at an example: + + ["M4-int", [0.7, -2.1095, 4.1095, + [ + [0, 0.3465], + [0, -0.3465], + [0.43304671, -0.09648036], + [0.43304671, 0.09648036] + ]]] + + +## Definition of profile + +profile is a list of vectors in OpenSCADs x-y plane. x corresponds to the radial direction of the screw, z is the axis of the threads helix. + +![Thread Profile](imgs/ThreadProfile.png) + +In many cases, profile consists of 4 points. However, the number of points is not limited: You can use as many as you need. For external threads, the profile is specified in the right-hand side of the x-y plane. For internal threads, the left-hand side is used (i.e., the radius-values are negative). This is useful to make corresponding male and female threads match without extra operations: The female thread has rotated by half a turn when it arrives on the right-hand side of the x-y plane, thereby nicely fitting in between two turns of the male thread. + + +## Redundancy? + +Why do we need P, Rrot, Dsup, *and* profile? Can we not include everything in profile? Unfortunately, we can't. The reasons are a) lead-in / lead-out tapers ("lilo-tapers") and b) overlap between thread and support to avoid rendering problems. + +*lilo-tapers*: To make the tapers, the profile is scaled-down at the ends. We need to know where the profile is scaled to (center of scaling). We solve this by specifying the radius of rotation for extrusion Rrot explicitly and subtract it from profile (profile holds [dr, z] instead of [r, z]). lilo-tapers are then created by scaling towards dr=0. + +*Overlap 1*: We could include P in profile by requiring that profile extends over exactly one period (i.e., P). However, this would result in a helix where neighbouring periods would exactly touch each other. This leads to rendering artifacts => P is stored seperately and profile is *required* to cover *less* than a period. + +*Overlap 2*: But hey! Dsup = 2 * Rrot, no? In principle yes, but in that case thread and bolt would *just* touch => rendering problems. But we could implicitly assume that Rrot is simply 1% smaller than Dsup / 2 for external threads (and 1% larger for internal threads)! Yes, we could. But we decided to make that choice explicit rather than implicit. + diff --git a/docs/MetricThread.md b/docs/MetricThread.md new file mode 100644 index 0000000..48feaea --- /dev/null +++ b/docs/MetricThread.md @@ -0,0 +1,15 @@ +# Metric Thread + +![Metric thread specs](http://mdmetric.com/tech/din13pix.jpg) + +metric_thread.csv provides the numbers given in the norm (no thinking done there, just copying). metric_thread.awk - as usual - calculates the threadlib specs. + +- Designator: use the simplified variant +- Pitch diameters: Choose the center of the tolerance range +- Support diameters: Center of tol. range +- Valley diameter: Border of tol. range so that overlap with support is assured +- Crest diameters: Center of tol. range + +## Specialties + +For some internal threads, we get a valley diameter that is on the corner or even outside the fundamental triangle. This would lead to one turn of the thread overlapping with the next turn which we need to avoid. Therefore, we have a built-in check to limit the valley diameter to a safe range. diff --git a/docs/UnitTests.md b/docs/UnitTests.md new file mode 100644 index 0000000..c7b6bc4 --- /dev/null +++ b/docs/UnitTests.md @@ -0,0 +1,61 @@ +# Unit Tests + +We use unit tests as a means of quality assurance for threadlib. + + +## THREAD_TABLE.scad + +The thread table is tested using an awk script. See [The GNU Awk User's Guide](https://www.gnu.org/software/gawk/manual/gawk.html) for (more than) an introduction to awk. Note that development of threadlib is based not on GNU awk but on MacOSs version of awk, which is mostly - but not completely - compatible. + +Every line of THREAD_TABLE.scad is fed to [tests/test_table.awk](../tests/test_table.awk). test_table.awk then runs appropriate tests for every line. Which tests are appropriate are determined by looking at the thread designator. For example: + + /"[^,]+-ext/ { + # external threads have positive Rrot + parse(); + if (Rrot < 0) { + print designator " FAIL: negative radius of rotation"; + PASS = 0; + } + # test overlapp between thread and support + if (Rrot > Dsupport / 2) { + print designator " FAIL: Rsupport < Rrot"; + PASS = 0; + } + } + +The pattern /"[^,]+-ext/ means: Run this code for every line that contains double quotes followed by a non-zero (+) number of non-comma characters ([^,]) followed by the string "-ext". I.e, the code is run for every external thread. The code (everything between {}) tests the following assumptions: 1. every external thread must have positive Rrot 2. there must be some overlap between thread and support (i.e. Rrot > Dsupport / 2). + +More specific tests verify, e.g., that the thread angles are correct. Not all threads have the same thread angles, therefore we have to distinguish, e.g., between metric threads (designator "M...") and BSPP threads (designator "G..."). Example: + + /M[0-9.x-]+-ext/ { + # ext M threads have +/-60 deg slopes, horizontal crest / valley + parse(); + m1 = slope(v0, v3) / deg; + m2 = slope(v2, v1) / deg; + if (m1 > 60 + dphi || m1 < 60 - dphi \ + || m2 < -60 - dphi || m2 > -60 + dphi) { + print designator " FAIL: " m1 ", " m2 " deg"; + PASS = 0; + }; + test_horizontal(); + tested = 1; + } + +Note that: + +- This test uses functions. These are defined at the top of the awk script. +- This test will run *in addition* to the more general test discussed above. It does not *replace* the previous test. + +Furthermore, we track whether tests fail. This is done in 2 ways: + +- If a test fails it prints an error to the screen +- If a test fails the variable PASS is set to zero + +At the very end (END {...}), the awk script tests the value of PASS. If all tests were successfull, it still has its initial value of 1 (set in the BEGIN {...} block). Otherwise, it is 0. + +Finally, we have assured that every thread is tested. A thread that is not tested at all is considered a FAIL. This is done via two match-all rules: The first initialized the variable 'tested' to 0. The last verifies that it has been set to 1 by one of the test. If it is still zero, this particular thread has not been tested at all. + +## threadlib.scad + +We intend to add tests for threadlib.scad itself. E.g. by actually rendering a pair of external and internal threads and verifying the number of volumes created. Currently, we do not have these tests yet. + diff --git a/docs/imgs/ThreadProfile.png b/docs/imgs/ThreadProfile.png new file mode 100644 index 0000000..db13af7 Binary files /dev/null and b/docs/imgs/ThreadProfile.png differ diff --git a/tests/Makefile b/tests/Makefile new file mode 100644 index 0000000..c801593 --- /dev/null +++ b/tests/Makefile @@ -0,0 +1,4 @@ +.PHONY: test +test: + @cat ../THREAD_TABLE.scad | awk -f test_table.awk + diff --git a/tests/test_table.awk b/tests/test_table.awk new file mode 100644 index 0000000..469d692 --- /dev/null +++ b/tests/test_table.awk @@ -0,0 +1,188 @@ +function parse() { + gsub(/[]\[" ]/, ""); + + designator = $1; + pitch = $2; + Rrot = $3; + Dsupport = $4; + v0[1] = $5; + v0[0] = $6; + + v1[1] = $7; + v1[0] = $8; + + v2[1] = $9; + v2[0] = $10; + + v3[1] = $11; + v3[0] = $12; +} + +function slope(x, y) { + # return the slope from vector x to vector y + return atan2(y[1] - x[1], y[0] - x[0]) +} + +function test_horizontal() { + # test whether v0 and v1 as well as v2 and v3 have the same radius + if (v0[1] != v1[1] || v2[1] != v3[1]) { + print designator " FAIL: not horizontal"; + PASS = 0; + } +} + +BEGIN { + # define useful constants + FS = ","; + pi = atan2(0, -1); + deg = pi / 180; + dphi = 0.1; + + PASS = 1; + NR_OF_TESTS = 0; + NR_OF_THREADS = 0; +} + +{ # first match-all rule: set state to untested + tested = 0; +} + +/"[^,]+-ext/ { + # external threads have positive Rrot + parse(); + if (Rrot < 0) { + print designator " FAIL: negative radius of rotation"; + PASS = 0; + } + # test overlapp between thread and support + if (Rrot > Dsupport / 2) { + print designator " FAIL: Rsupport < Rrot"; + PASS = 0; + } + NR_OF_TESTS += 2; +} + +/"[^,]+-int/ { + # internal threads have negative Rrot + parse(); + if (Rrot > 0) { + print designator " FAIL: positive radius of rotation"; + PASS = 0; + } + # test overlapp between thread and support + if (-Rrot < Dsupport / 2) { + print designator " FAIL: Rsupport > Rrot"; + PASS = 0; + } + NR_OF_TESTS += 2; +} + +/((M[0-9.x-]+)|(UN([CF]|EF)[\/\#0-9-]+)|([0-9]+-UN-[\/\#0-9-]+))ext/ { + # ext M, UN*, and *-UN threads have +/-60 deg slopes, horizontal crest / valley + parse(); + m1 = slope(v0, v3) / deg; + m2 = slope(v2, v1) / deg; + if (m1 > 60 + dphi || m1 < 60 - dphi \ + || m2 < -60 - dphi || m2 > -60 + dphi) { + print designator " FAIL: " m1 ", " m2 " deg"; + PASS = 0; + }; + test_horizontal(); + tested = 1; + NR_OF_TESTS += 2; +} + +/((M[0-9.x-]+)|(UN([CF]|EF)[\/\#0-9-]+)|([0-9]+-UN-[\/\#0-9-]+))int/ { + # int M, UN*, and *-UN threads have +/-60 deg slopes, horizontal crest / valley + parse(); + m1 = slope(v3, v0) / deg; + m2 = slope(v1, v2) / deg; + if (m1 > -60 + dphi || m1 < -60 - dphi \ + || m2 < 60 - dphi || m2 > 60 + dphi) { + print designator " FAIL: " m1 ", " m2 " deg"; + PASS = 0; + } + test_horizontal(); + tested = 1; + NR_OF_TESTS += 2; +} + +/G.+-ext/ { + # ext M threads have +/-62.5 deg slopes, horizontal crest / valley + parse(); + m1 = slope(v0, v3) / deg; + m2 = slope(v2, v1) / deg; + if (m1 > 62.5 + dphi || m1 < 62.5 - dphi \ + || m2 < -62.5 - dphi || m2 > -62.5 + dphi) { + print designator " FAIL: " m1 ", " m2 " deg"; + PASS = 0; + } + test_horizontal(); + tested = 1; + NR_OF_TESTS += 2; +} + +/G.+-int/ { + # int G threads have +/-62.5 deg slopes, horizontal crest / valley + parse(); + m1 = slope(v3, v0) / deg; + m2 = slope(v1, v2) / deg; + if (m1 > -62.5 + dphi || m1 < -62.5 - dphi \ + || m2 < 62.5 - dphi || m2 > 62.5 + dphi) { + print designator " FAIL: " m1 ", " m2 " deg"; + PASS = 0; + } + test_horizontal(); + tested = 1; + NR_OF_TESTS += 2; +} + +/PCO.+-ext/ { + # PCO-1881 threads have slopes of -80 deg (on the load side) and 70 deg + # (on the other side) + horizontal crest / valley + parse(); + m1 = slope(v0, v3) / deg; + m2 = slope(v2, v1) / deg; + if (m1 > 70 + dphi || m1 < 70 - dphi \ + || m2 < -80 - dphi || m2 > -80 + dphi) { + print designator " FAIL: " m1 ", " m2 " deg"; + PASS = 0; + } + test_horizontal(); + tested = 1; + NR_OF_TESTS += 2; +} + +/PCO.+-int/ { + # PCO-1881 threads have slopes of 80 deg (on the load side) and -70 deg + # (on the other side) + horizontal crest / valley + parse(); + m1 = slope(v3, v0) / deg; + m2 = slope(v1, v2) / deg; + if (m1 > -70 + dphi || m1 < -70 - dphi \ + || m2 < 80 - dphi || m2 > 80 + dphi) { + print designator " FAIL: " m1 ", " m2 " deg"; + PASS = 0; + } + test_horizontal(); + tested = 1; + NR_OF_TESTS += 2; +} + +/[^,]+-(int|ext)/ { + # final match-all (designators) rule: test wether all lines have been + # tested + if (tested == 0) { + parse(); + print designator " FAIL: not tested"; + PASS = 0; + }; + NR_OF_THREADS += 1; +} + +END { + print "Ran " NR_OF_TESTS " tests on " NR_OF_THREADS " threads"; + if (PASS == 1) print "TESTS SUCCESSFUL" + else print "TESTS FAIL"; +} + diff --git a/threadlib.scad b/threadlib.scad index a26caa1..8f9e2ea 100644 --- a/threadlib.scad +++ b/threadlib.scad @@ -5,11 +5,11 @@ threadlib Create threads easily. :Author: Adrian Schlatter -:Date: 2019-04-07 +:Date: 2019-11-11 :License: 3-Clause BSD. See LICENSE. */ -function __THREADLIB_VERSION() = 0.2; +function __THREADLIB_VERSION() = 0.3; use include @@ -49,8 +49,7 @@ module nut(designator, turns, Douter, higbee_arc=20, fn=120, table=THREAD_TABLE) specs = thread_specs(str(designator, "-int"), table=table); P = specs[0]; Dsupport = specs[2]; H = (turns + 1) * P; - rotate(180) - thread(str(designator, "-int"), turns=turns, higbee_arc=higbee_arc, fn=fn, table=table); + thread(str(designator, "-int"), turns=turns, higbee_arc=higbee_arc, fn=fn, table=table); translate([0, 0, -P / 2]) difference() {