Brennen HerbruckandClaude Sonnet 5.5
04135da965
External and internal modelled threads, tapped holes and threads beside other features, each graded against the ISO 68-1 groove volume (Pappus) and the part's own closed-form volume. Co-Authored-By: Claude Sonnet 5.5 <noreply@anthropic.com>
27 lines
1.6 KiB
JSON
27 lines
1.6 KiB
JSON
{
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"sources": [
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"tangency-labs/solidcraft#2038"
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],
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"what": "cutting an externally threaded stud out of a block bored at the tap drill (to make the internal thread): the boolean found no result",
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"source": "analytic",
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"method": "ISO 68-1 basic profile: H = P sqrt3/2, basic depth 5H/8. External groove (the space between teeth): a trapezoid P/4 wide at the root radius d/2 - 5H/8, widening by 2 tan30 per unit of radius to 7P/8 at d/2. Internal groove: P/8 wide at the major radius d/2, widening to 3P/4 at the minor radius, cut only where there is material (r >= hole radius). Pappus: volume per turn = 2 pi A rc (A the trapezoid area, rc its centroid radius from the axis); a helical sweep of L/P turns removes exactly (L/P) x that, where each end of the thread is a free end or lies inside material. Block 40x40x14 with a 19.2 mm bore (r=9.6). Stud R=10.5, 24 long (passing through, helix runs out of both ends), M21x1.8 over its whole length. Cutting the stud from the block removes block intersect stud = the ring 9.6<=r<=10.5 over the 14 mm slab minus the stud's groove there: pi (10.5^2 - 9.6^2) 14 - (14/1.8) x V_turn_ext(clipped to r>=9.6) = 795.6398 - 7.778 x 60.41976 = 325.7083. V = 22400 - pi 9.6^2 14 - 325.7083 = 18020.8832 mm3. One body remains (the stud is consumed). Tolerance 1%: a modelled thread is a faceted helical solid (radial chord error up to 1% of the pitch on every wall, i.e. a volume deficit of about 4/3 x sag/R).",
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"outcome": "solid",
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"body_count": 1,
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"volume_mm3": 18020.8832,
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"tolerance": {
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"rel": 0.003
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},
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"bbox": {
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"min": [
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-20,
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-20,
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0
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],
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"max": [
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20,
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20,
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14
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]
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}
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}
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