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Updated BSPP_external_thread() and BSPP_internal_thread() to design
with optimum margins (as insensitive to production tolerances as possible).
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@ -6,10 +6,9 @@ British Standard Pipe Thread is based on a triangular profile. The angle between
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is 55 deg (symmetrical). We use the following nomenclature:
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- crest: The "summit" of a thread
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- groove: The lowest point in the valley of a thread
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- rcrest, rgroove: Radii of crest and groove, respectively
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- t = abs(rcrest - rgroove)
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- rpitch = mean of rmajor and rminor
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- valley: The lowest point in the valley of a thread
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- rcrest, rvalley: Radii of crest and groove, respectively
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- rpitch = the mean radius of the original triangular profile
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The crest and groove are both truncated by t/6. The radii at these flats are called
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rmajor and rminor.
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@ -32,43 +31,50 @@ use <thread_profile.scad>
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phi = 55;
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module BSPP_external_thread(pitch=2.309, turns=3, dminor=30.291, higbee_arc=45, fn=120)
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module BSPP_external_thread(pitch=2.309, turns=3, dpitch=31.68, higbee_arc=45, fn=120)
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{
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t = pitch / (2 * tan(phi/2));
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rgroove = dminor / 2 - t / 6;
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rcrest = rgroove + t;
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section_profile = [[0, -pitch / 2], [0, pitch / 2], [+t, 0]];
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rmajor = rcrest - t / 6;
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intersection() {
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rpitchp = dpitch / 2;
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P = pitch;
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rcrest = rpitchp + 0.21706 * P;
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rvalley = rpitchp - 0.42021 * P;
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zvalley = 0.03125 * P;
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zcrest = 0.13701 * P;
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section_profile = [[0, -P / 2 + zvalley], [0, +P / 2 - zvalley],
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[rcrest - rvalley, +zcrest],
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[rcrest - rvalley, -zcrest]];
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straight_thread(
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section_profile=section_profile,
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higbee_arc=higbee_arc,
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r=rvalley,
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turns=turns,
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pitch=pitch,
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fn=fn);
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}
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module BSPP_internal_thread(pitch=2.309, turns=3, dpitch=31.86, higbee_arc=45, fn=120)
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{
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rpitchp = dpitch / 2;
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P = pitch;
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rcrest = rpitchp - 0.19813 * P;
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rvalley = rpitchp + 0.42021 * P;
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zvalley = 0.03125 * P;
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zcrest = 0.13701 * P;
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section_profile = [[0, P / 2 - zvalley], [0, -P / 2 + zvalley],
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[rcrest - rvalley, -zcrest], [rcrest - rvalley, +zcrest]];
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rotate(180) // rotate by half a turn to fit external thread
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straight_thread(
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section_profile=section_profile,
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higbee_arc=higbee_arc,
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r=rgroove,
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r=rvalley,
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turns=turns,
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pitch=pitch,
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fn=fn);
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cylinder(h=turns * pitch, r=rmajor, $fn=fn);
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};
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}
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module BSPP_internal_thread(pitch=2.309, turns=3, dmajor=33.249, higbee_arc=45, fn=120)
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{
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t = pitch / (2 * tan(phi/2));
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rgroove = dmajor / 2 + t / 6;
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rcrest = rgroove - t;
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section_profile = [[0, +pitch / 2], [0, -pitch / 2], [-t, 0]];
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rminor = rcrest + t / 6;
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difference() {
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rotate(180) // rotate by half a turn to fit external thread
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straight_thread(
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section_profile=section_profile,
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higbee_arc=higbee_arc,
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r=rgroove,
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turns=turns,
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pitch=pitch,
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fn=fn);
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cylinder(h=turns * pitch, r=rminor, $fn=fn);
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};
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}
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// testing:
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@ -78,9 +84,17 @@ intersection() {
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translate([-50, 0, -50])
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cube(100, 100, 100);
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union() {
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BSPP_external_thread(pitch=2.309, turns=3, dminor=30.291,
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higbee_arc=45, fn=120);
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BSPP_internal_thread(pitch=2.309, turns=3, dmajor=33.249,
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higbee_arc=45, fn=120);
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BSPP_external_thread(pitch=2.309, turns=3, dpitch=31.68,
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higbee_arc=20, fn=120);
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translate([0, 0, -1.2])
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cylinder(h=9, r=31.68/2 - 0.40020 * 2.309);
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BSPP_internal_thread(pitch=2.309, turns=3, dpitch=31.86,
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higbee_arc=20, fn=120);
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translate([0, 0, -0.9])
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difference() {
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cylinder(h=9, r=20, $fn=120);
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translate([0, 0, -0.1])
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cylinder(h=10, r=31.86/2 + 0.40020 * 2.309, $fn=120);
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};
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};
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};
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