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kernel-cases: threads cases from modelled-thread reports (1 of 2)
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>
This commit is contained in:
Brennen Herbruck
@@ -0,0 +1,31 @@
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{
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"sources": [
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"tangency-labs/solidcraft#1250"
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],
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"what": "a modelled external M10 thread over the whole length of a 10 mm shaft (8 turns)",
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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. Shaft R=5.0 L=12, M10x1.5 (P=1.5) over its whole length, both ends free: V = pi R^2 L - (L/P) V_turn = 942.4778 - 8 x 20.09743 = 781.6984 mm3. COM on the axis at L/2 (6): the groove is symmetric over whole turns. 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": 781.6984,
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"center_of_mass": [
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0,
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||||
0,
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||||
6.0
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||||
],
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"bbox": {
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"min": [
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-5.0,
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||||
-5.0,
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||||
0
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||||
],
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"max": [
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||||
5.0,
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5.0,
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12
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]
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},
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||||
"tolerance": {
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"rel": 0.01
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||||
}
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}
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@@ -0,0 +1,24 @@
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{
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"commands": [
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{
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"command": "solid.cylinder",
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"params": {
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"radius": 5.0,
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"height": 12,
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"body_name": "Shaft"
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}
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},
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{
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"command": "solid.thread",
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"params": {
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"face": [
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5.0,
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0,
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6.0
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],
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"designation": "M10x1.5",
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"modeled": true
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}
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}
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]
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}
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@@ -0,0 +1,31 @@
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{
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"sources": [
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"tangency-labs/solidcraft#1395"
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],
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"what": "a long modelled external thread: M6 over a 24 mm shaft (24 turns), the kind that once ran out of depth in the boolean",
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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. Shaft R=3.0 L=24, M6 (P=1.0) over its whole length, both ends free: V = pi R^2 L - (L/P) V_turn = 678.5840 - 24 x 5.31713 = 550.9729 mm3. COM on the axis at L/2 (12): the groove is symmetric over whole turns. 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": 550.9729,
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"center_of_mass": [
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0,
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0,
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12.0
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],
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"bbox": {
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"min": [
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-3.0,
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-3.0,
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0
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],
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"max": [
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3.0,
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3.0,
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24
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]
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},
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"tolerance": {
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"rel": 0.01
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}
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}
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@@ -0,0 +1,24 @@
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{
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"commands": [
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{
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"command": "solid.cylinder",
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"params": {
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"radius": 3.0,
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"height": 24,
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"body_name": "Shaft"
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}
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},
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{
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"command": "solid.thread",
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"params": {
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"face": [
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3.0,
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0,
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12.0
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],
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"designation": "M6",
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"modeled": true
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}
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}
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]
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}
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@@ -0,0 +1,32 @@
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{
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"sources": [
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"tangency-labs/solidcraft#1443",
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"tangency-labs/solidcraft#3060"
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],
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"what": "a modelled M5x0.7 thread in a 5 mm hole (refused: it would cut 0.00 mm of the thread's depth)",
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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. A 5 mm hole through a D14 x 4.2 disc, drawn at the thread's nominal size, takes a modelled M5x0.7: the hole is first filled to the tap drill (major - pitch = 4.3 mm, rho=2.15), then the groove is cut, the same thread as in a hole drilled at the tap drill. Whole length, both ends free (6 turns): V = pi 7^2 4.2 - pi 2.15^2 4.2 - 6 x V_turn(clipped at rho) = 646.5398 - 60.9925 - 6 x 1.45465 = 576.8194 mm3. The thin lips a tap leaves at each end are below 0.2% of the volume. 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": 576.8194,
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"tolerance": {
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"rel": 0.01
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},
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"bbox": {
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"min": [
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-7,
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-7,
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||||
0
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||||
],
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||||
"max": [
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7,
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7,
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4.2
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]
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},
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"center_of_mass": [
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0,
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0,
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2.1
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]
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}
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@@ -0,0 +1,35 @@
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{
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"commands": [
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{
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"command": "solid.cylinder",
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"params": {
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"radius": 7,
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"height": 4.2,
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"body_name": "Nut"
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}
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||||
},
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||||
{
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||||
"command": "solid.hole",
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"params": {
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"position": [
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0,
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||||
0,
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4.2
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],
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||||
"diameter": 5
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||||
}
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||||
},
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{
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"command": "solid.thread",
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"params": {
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"face": [
|
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2.5,
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0,
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2.1
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],
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"designation": "M5x0.7",
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"modeled": true
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}
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}
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]
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}
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@@ -0,0 +1,26 @@
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{
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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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@@ -0,0 +1,65 @@
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{
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||||
"commands": [
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{
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"command": "solid.box",
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"params": {
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||||
"corner": [
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||||
-20,
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||||
-20,
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||||
0
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||||
],
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||||
"length": 40,
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||||
"width": 40,
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||||
"height": 14,
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||||
"body_name": "Block"
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||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.hole",
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||||
"params": {
|
||||
"position": [
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||||
0,
|
||||
0,
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||||
14
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||||
],
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||||
"diameter": 19.2
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||||
}
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||||
},
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||||
{
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||||
"command": "solid.cylinder",
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||||
"params": {
|
||||
"radius": 10.5,
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||||
"height": 24,
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||||
"base": [
|
||||
0,
|
||||
0,
|
||||
-5
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||||
],
|
||||
"operation": "new",
|
||||
"body_name": "Stud"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.thread",
|
||||
"params": {
|
||||
"face": [
|
||||
10.5,
|
||||
0,
|
||||
10
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||||
],
|
||||
"designation": "M21x1.8",
|
||||
"modeled": true
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.combine",
|
||||
"params": {
|
||||
"target": "Block",
|
||||
"tools": [
|
||||
"Stud"
|
||||
],
|
||||
"operation": "cut"
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||||
}
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||||
}
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||||
]
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||||
}
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+26
@@ -0,0 +1,26 @@
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{
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||||
"sources": [
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"tangency-labs/solidcraft#2038"
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||||
],
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||||
"what": "two modelled threads on one body, an internal one then an external one (the second was refused: no cylindrical face there to thread)",
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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. Cylinder A R=16 h=12 with a 12.163 mm blind hole 10 deep from the bottom (rho=6.0815), M13.5x1.337 over 8 mm from the open mouth ending inside the wall: V_A = pi 16^2 12 - pi rho^2 10 - (8/1.337) x V_turn_int = 8400.9644. A boss R=13.05 h=14 joined on top, M26.1x1.814 over 10 mm from its free top end: V = V_A + pi 13.05^2 14 - (10/1.814) x 79.63016 = 15452.2840 mm3. 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).",
|
||||
"outcome": "solid",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 15452.284,
|
||||
"tolerance": {
|
||||
"rel": 0.01
|
||||
},
|
||||
"bbox": {
|
||||
"min": [
|
||||
-16,
|
||||
-16,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
16,
|
||||
16,
|
||||
26
|
||||
]
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,71 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 16,
|
||||
"height": 12,
|
||||
"body_name": "A"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.hole",
|
||||
"params": {
|
||||
"position": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"direction": [
|
||||
0,
|
||||
0,
|
||||
1
|
||||
],
|
||||
"diameter": 12.163,
|
||||
"depth": 10
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.thread",
|
||||
"params": {
|
||||
"face": [
|
||||
6.0815,
|
||||
0,
|
||||
1
|
||||
],
|
||||
"designation": "M13.5x1.337",
|
||||
"length": 8,
|
||||
"modeled": true
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 13.05,
|
||||
"height": 14,
|
||||
"base": [
|
||||
0,
|
||||
0,
|
||||
12
|
||||
],
|
||||
"operation": "join",
|
||||
"targets": [
|
||||
"A"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.thread",
|
||||
"params": {
|
||||
"face": [
|
||||
13.05,
|
||||
0,
|
||||
25
|
||||
],
|
||||
"designation": "M26.1x1.814",
|
||||
"length": 10,
|
||||
"modeled": true
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,26 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#2038"
|
||||
],
|
||||
"what": "joining a body with an internal modelled thread to one with an external modelled thread, touching in a plane (the join ran for over ten minutes)",
|
||||
"source": "analytic",
|
||||
"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. A as in the one-body case (V_A = 8400.9644). B: cylinder R=13.05 h=14 with M26.1x1.814 over its whole length, both ends free: V_B = pi 13.05^2 14 - (14/1.814) x 79.63016 = 6875.7294. They touch only in the plane z=12 (B's flat end on A's flat top), so the join is one solid with V = V_A + V_B = 15276.6938 mm3. 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).",
|
||||
"outcome": "solid",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 15276.6938,
|
||||
"tolerance": {
|
||||
"rel": 0.01
|
||||
},
|
||||
"bbox": {
|
||||
"min": [
|
||||
-16,
|
||||
-16,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
16,
|
||||
16,
|
||||
26
|
||||
]
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,78 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 16,
|
||||
"height": 12,
|
||||
"body_name": "A"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.hole",
|
||||
"params": {
|
||||
"position": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"direction": [
|
||||
0,
|
||||
0,
|
||||
1
|
||||
],
|
||||
"diameter": 12.163,
|
||||
"depth": 10
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.thread",
|
||||
"params": {
|
||||
"face": [
|
||||
6.0815,
|
||||
0,
|
||||
1
|
||||
],
|
||||
"designation": "M13.5x1.337",
|
||||
"length": 8,
|
||||
"modeled": true
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 13.05,
|
||||
"height": 14,
|
||||
"base": [
|
||||
0,
|
||||
0,
|
||||
12
|
||||
],
|
||||
"operation": "new",
|
||||
"body_name": "B"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.thread",
|
||||
"params": {
|
||||
"face": [
|
||||
13.05,
|
||||
0,
|
||||
19
|
||||
],
|
||||
"designation": "M26.1x1.814",
|
||||
"modeled": true
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.combine",
|
||||
"params": {
|
||||
"target": "A",
|
||||
"tools": [
|
||||
"B"
|
||||
],
|
||||
"operation": "join"
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,28 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#3311",
|
||||
"tangency-labs/solidcraft#2115",
|
||||
"tangency-labs/solidcraft#2367",
|
||||
"tangency-labs/solidcraft#2440",
|
||||
"tangency-labs/solidcraft#2441"
|
||||
],
|
||||
"what": "tapped holes (Hole with a thread size, no diameter) are drilled at the tap drill, not at the major diameter",
|
||||
"source": "analytic",
|
||||
"method": "Tapped hole rule: the drill is the major diameter minus the pitch (M3 0.5 -> 2.5, M5 0.8 -> 4.2, M8 1.25 -> 6.75, M8.5x1 -> 7.5, M12 1.75 -> 10.25). Plate 100x40x12 with five holes in one row, each a cylinder pi r^2 h: M3: drill 2.5 x 12; M5: drill 4.2 x 12; M8: drill 6.75 x 12; M8.5x1: drill 7.5 x 12; M12: drill 10.25 x 8. V = 48000 - sum = 46155.1547 mm3. Faces: the plate's 6, one wall per through hole (four), a wall and a flat floor for the blind M12: 6 + 4 + 2 = 12.",
|
||||
"outcome": "solid",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 46155.1547,
|
||||
"faces": 12,
|
||||
"bbox": {
|
||||
"min": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
100,
|
||||
40,
|
||||
12
|
||||
]
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,74 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.box",
|
||||
"params": {
|
||||
"corner": [
|
||||
0,
|
||||
0,
|
||||
0
|
||||
],
|
||||
"length": 100,
|
||||
"width": 40,
|
||||
"height": 12,
|
||||
"body_name": "Plate"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.hole",
|
||||
"params": {
|
||||
"position": [
|
||||
10,
|
||||
20,
|
||||
12
|
||||
],
|
||||
"thread": "M3"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.hole",
|
||||
"params": {
|
||||
"position": [
|
||||
25,
|
||||
20,
|
||||
12
|
||||
],
|
||||
"thread": "M5"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.hole",
|
||||
"params": {
|
||||
"position": [
|
||||
45,
|
||||
20,
|
||||
12
|
||||
],
|
||||
"thread": "M8"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.hole",
|
||||
"params": {
|
||||
"position": [
|
||||
65,
|
||||
20,
|
||||
12
|
||||
],
|
||||
"thread": "M8.5x1"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.hole",
|
||||
"params": {
|
||||
"position": [
|
||||
88,
|
||||
20,
|
||||
12
|
||||
],
|
||||
"thread": "M12",
|
||||
"depth": 8
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,31 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#2152"
|
||||
],
|
||||
"what": "a modelled M3x0.2 thread in a 3 mm hole (the same refusal as a hole at the nominal size)",
|
||||
"source": "analytic",
|
||||
"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. A 3 mm hole through a D10 x 2 disc, drawn at the thread's nominal size, takes a modelled M3x0.2: the hole is first filled to the tap drill (major - pitch = 2.8 mm, rho=1.4), then the groove is cut, the same thread as in a hole drilled at the tap drill. Whole length, both ends free (10 turns): V = pi 5^2 2 - pi 1.4^2 2 - 10 x V_turn(clipped at rho) = 157.0796 - 12.3150 - 10 x 0.07477 = 144.0169 mm3. The thin lips a tap leaves at each end are below 0.2% of the volume. 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).",
|
||||
"outcome": "solid",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 144.0169,
|
||||
"tolerance": {
|
||||
"rel": 0.01
|
||||
},
|
||||
"bbox": {
|
||||
"min": [
|
||||
-5,
|
||||
-5,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
5,
|
||||
5,
|
||||
2
|
||||
]
|
||||
},
|
||||
"center_of_mass": [
|
||||
0,
|
||||
0,
|
||||
1.0
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,35 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 5,
|
||||
"height": 2,
|
||||
"body_name": "Nut"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.hole",
|
||||
"params": {
|
||||
"position": [
|
||||
0,
|
||||
0,
|
||||
2
|
||||
],
|
||||
"diameter": 3
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.thread",
|
||||
"params": {
|
||||
"face": [
|
||||
1.5,
|
||||
0,
|
||||
1.0
|
||||
],
|
||||
"designation": "M3x0.2",
|
||||
"modeled": true
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,33 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#2193",
|
||||
"tangency-labs/solidcraft#2263",
|
||||
"tangency-labs/solidcraft#4153"
|
||||
],
|
||||
"what": "a modelled M33x3.5 thread, a size the thread menu lacked (designation typed by hand), on a 33 mm shaft (4 turns)",
|
||||
"source": "analytic",
|
||||
"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. Shaft R=16.5 L=14, M33x3.5 (P=3.5) over its whole length, both ends free: V = pi R^2 L - (L/P) V_turn = 11974.1804 - 4 x 368.57682 = 10499.8731 mm3. COM on the axis at L/2 (7): the groove is symmetric over whole turns. 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).",
|
||||
"outcome": "solid",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 10499.8731,
|
||||
"center_of_mass": [
|
||||
0,
|
||||
0,
|
||||
7.0
|
||||
],
|
||||
"bbox": {
|
||||
"min": [
|
||||
-16.5,
|
||||
-16.5,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
16.5,
|
||||
16.5,
|
||||
14
|
||||
]
|
||||
},
|
||||
"tolerance": {
|
||||
"rel": 0.01
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,24 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 16.5,
|
||||
"height": 14,
|
||||
"body_name": "Shaft"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.thread",
|
||||
"params": {
|
||||
"face": [
|
||||
16.5,
|
||||
0,
|
||||
7.0
|
||||
],
|
||||
"designation": "M33x3.5",
|
||||
"modeled": true
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,31 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#2209"
|
||||
],
|
||||
"what": "a fine modelled thread on a large shaft (M44x1 on a 44 mm shaft, 4 turns), which once cut about 9% too much",
|
||||
"source": "analytic",
|
||||
"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. Shaft R=22.0 L=4, M44x1 (P=1.0) over its whole length, both ends free: V = pi R^2 L - (L/P) V_turn = 6082.1234 - 4 x 41.66397 = 5915.4675 mm3. COM on the axis at L/2 (2): the groove is symmetric over whole turns. 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).",
|
||||
"outcome": "solid",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 5915.4675,
|
||||
"center_of_mass": [
|
||||
0,
|
||||
0,
|
||||
2.0
|
||||
],
|
||||
"bbox": {
|
||||
"min": [
|
||||
-22.0,
|
||||
-22.0,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
22.0,
|
||||
22.0,
|
||||
4
|
||||
]
|
||||
},
|
||||
"tolerance": {
|
||||
"rel": 0.01
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,24 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 22.0,
|
||||
"height": 4,
|
||||
"body_name": "Shaft"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.thread",
|
||||
"params": {
|
||||
"face": [
|
||||
22.0,
|
||||
0,
|
||||
2.0
|
||||
],
|
||||
"designation": "M44x1",
|
||||
"modeled": true
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,26 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#2209"
|
||||
],
|
||||
"what": "a full-diameter M44x1.5 modelled thread on the hub of a flange, which once failed to rebuild a closed shell",
|
||||
"source": "analytic",
|
||||
"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. Flange R=40 h=8 plus a hub R=22 h=10, M44x1.5 over 6 mm from the free top end, ending inside the hub (4 turns, no end effect): V = pi 40^2 8 + pi 22^2 10 - 4 x V_turn = 40212.3860 + 15205.3084 - 4 x 93.26935 = 55044.6170 mm3. 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).",
|
||||
"outcome": "solid",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 55044.617,
|
||||
"tolerance": {
|
||||
"rel": 0.01
|
||||
},
|
||||
"bbox": {
|
||||
"min": [
|
||||
-40,
|
||||
-40,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
40,
|
||||
40,
|
||||
18
|
||||
]
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,41 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 40,
|
||||
"height": 8,
|
||||
"body_name": "Flange"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 22.0,
|
||||
"height": 10,
|
||||
"base": [
|
||||
0,
|
||||
0,
|
||||
8
|
||||
],
|
||||
"operation": "join",
|
||||
"targets": [
|
||||
"Flange"
|
||||
]
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.thread",
|
||||
"params": {
|
||||
"face": [
|
||||
22.0,
|
||||
0,
|
||||
16
|
||||
],
|
||||
"designation": "M44x1.5",
|
||||
"length": 6,
|
||||
"modeled": true
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
@@ -0,0 +1,33 @@
|
||||
{
|
||||
"sources": [
|
||||
"tangency-labs/solidcraft#2369",
|
||||
"tangency-labs/solidcraft#2688",
|
||||
"tangency-labs/solidcraft#2853"
|
||||
],
|
||||
"what": "a modelled M8 thread in a hole narrower than the thread's minor diameter (6.3 mm, and 6 mm in #2688), refused as 'the face is too far from the thread's diameter'",
|
||||
"source": "analytic",
|
||||
"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. A 6.3 mm hole through a D16 x 5 disc takes a modelled M8 (P=1.25). The hole is narrower than the thread's minor diameter 8 - 2 x 5H/8 = 6.6468 mm (ISO D1 = D - 1.0825 P), so a tap takes the extra material off first: the hole is bored out to the minor diameter (rho=3.3234) and the groove cut from there. Whole length (4 turns): V = pi 8^2 5 - pi rho^2 5 - 4 x V_turn(clipped at rho) = 1005.3096 - 173.4961 - 4 x 8.32555 = 798.5114 mm3. 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).",
|
||||
"outcome": "solid",
|
||||
"body_count": 1,
|
||||
"volume_mm3": 798.5114,
|
||||
"center_of_mass": [
|
||||
0,
|
||||
0,
|
||||
2.5
|
||||
],
|
||||
"tolerance": {
|
||||
"rel": 0.01
|
||||
},
|
||||
"bbox": {
|
||||
"min": [
|
||||
-8,
|
||||
-8,
|
||||
0
|
||||
],
|
||||
"max": [
|
||||
8,
|
||||
8,
|
||||
5
|
||||
]
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,35 @@
|
||||
{
|
||||
"commands": [
|
||||
{
|
||||
"command": "solid.cylinder",
|
||||
"params": {
|
||||
"radius": 8,
|
||||
"height": 5,
|
||||
"body_name": "Nut"
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.hole",
|
||||
"params": {
|
||||
"position": [
|
||||
0,
|
||||
0,
|
||||
5
|
||||
],
|
||||
"diameter": 6.3
|
||||
}
|
||||
},
|
||||
{
|
||||
"command": "solid.thread",
|
||||
"params": {
|
||||
"face": [
|
||||
3.15,
|
||||
0,
|
||||
2.5
|
||||
],
|
||||
"designation": "M8",
|
||||
"modeled": true
|
||||
}
|
||||
}
|
||||
]
|
||||
}
|
||||
Reference in New Issue
Block a user