mirror of
https://github.com/bherbruck/solidcraft.git
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Kernel rig: hem cases, closed on a top and a bottom edge, open and flipped, on a flange, and one too short
Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
This commit is contained in:
jyviko
@@ -0,0 +1,21 @@
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{
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"sources": [],
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"what": "sheet.hem on the bottom edge of a 100 x 60 x 2 base: the hem folds over the top face",
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"source": "analytic",
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"method": "as cov-hem-closed-on-a-top-edge, but a bottom-edge pick folds toward the top face: bend axis at (y 0, z T + g), the leg at z T + 2g .. 2T + 2g = 2.02 .. 4.02. V = 100*60*2 + (pi/2)(2.01^2 - 0.01^2)*100 + 5.99*100*2 = 13832.601716",
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"body_count": 1,
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"volume_mm3": 13832.601716025138,
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"faces": 10,
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"bbox": {
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"min": [
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0,
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-2.01,
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0
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],
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"max": [
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100,
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60,
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4.02
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]
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}
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}
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@@ -0,0 +1,58 @@
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{
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"commands": [
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{
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"command": "sheet.manage_rules",
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"params": {
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"name": "Steel 2",
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"thickness": "2 mm",
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"active": true,
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"bend_radius": "2 mm",
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"k_factor": 0.5
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}
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},
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{
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"command": "sketch.create",
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"params": {
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"plane": "XY",
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"name": "Base"
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}
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},
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{
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"command": "sketch.rectangle.two_point",
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"params": {
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"p0": [
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0,
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0
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],
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"p1": [
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100,
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60
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]
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}
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},
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{
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"command": "sketch.finish",
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"params": {}
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},
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{
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"command": "sheet.flange",
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"params": {
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"type": "base",
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"sketch": "Base"
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}
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},
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{
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"command": "sheet.hem",
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"params": {
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"edges": [
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[
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50,
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0,
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0
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]
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],
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"length": 8
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}
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}
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]
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}
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@@ -0,0 +1,21 @@
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{
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"sources": [],
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"what": "sheet.hem on the top edge of a 100 x 60 x 2 base, 8 long, the rule's hem gap (0.01 mm): a closed hem folded under the sheet",
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"source": "analytic",
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"method": "T = 2, hem gap g = 0.01 (the rule's default) is the inner radius of a 180 degree bend that starts at the edge (y = 0) and turns down (a top-edge pick folds toward the bottom face): bend axis at (y 0, z -g), outer radius g + T = 2.01, so the bend reaches y = -2.01; the leg, 8 - (g + T) = 5.99 long, lies under the base at z -2g - T .. -2g = -2.02 .. -0.02. V = 100*60*2 + (pi/2)((g+T)^2 - g^2)*100 + 5.99*100*2 = 13832.601716. Faces: the section's 8 sides (top, end, bottom, inner arc, leg inner, leg end, leg outer, outer arc) and its 2 end caps",
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"body_count": 1,
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"volume_mm3": 13832.601716025138,
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"faces": 10,
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"bbox": {
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"min": [
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0,
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-2.01,
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-2.02
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],
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"max": [
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100,
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60,
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2
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]
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}
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}
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@@ -0,0 +1,58 @@
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{
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"commands": [
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{
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"command": "sheet.manage_rules",
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"params": {
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"name": "Steel 2",
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"thickness": "2 mm",
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"active": true,
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"bend_radius": "2 mm",
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"k_factor": 0.5
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}
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},
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{
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"command": "sketch.create",
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"params": {
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"plane": "XY",
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"name": "Base"
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}
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},
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{
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"command": "sketch.rectangle.two_point",
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"params": {
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"p0": [
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0,
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0
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],
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"p1": [
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100,
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60
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]
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}
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},
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{
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"command": "sketch.finish",
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"params": {}
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},
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{
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"command": "sheet.flange",
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"params": {
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"type": "base",
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"sketch": "Base"
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}
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},
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{
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"command": "sheet.hem",
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"params": {
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"edges": [
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[
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50,
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0,
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2
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]
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],
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"length": 8
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}
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}
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]
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}
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@@ -0,0 +1,20 @@
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{
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"sources": [],
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"what": "sheet.hem on the far edge of a 20 mm edge flange (its outer face's edge), 8 long: the hem turns in over the flange's inner face",
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"source": "analytic",
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"method": "T = 2, R = 2, K = 0.5: the flange's 90 degree bend sets the base back R + T = 4 (100 x 56), its bend (pi/2)((R+T)^2 - R^2)/2*100 = 942.477796, its panel 20 - 4 = 16 high to z 20 (its outer face y = 0). The hem's 180 degree bend (inner radius 0.01) starts at z 20 and reaches z 20 + 2.01; its leg, 8 - 2.01 = 5.99, hangs inside the wall. V = 100*56*2 + 942.477796 + 16*100*2 + (pi/2)(2.01^2 - 0.01^2)*100 + 5.99*100*2 = 17175.079512",
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"body_count": 1,
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"volume_mm3": 17175.07951210208,
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"bbox": {
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"min": [
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0,
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0,
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0
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],
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"max": [
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100,
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60,
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22.01
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]
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}
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}
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@@ -0,0 +1,72 @@
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{
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"commands": [
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{
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"command": "sheet.manage_rules",
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"params": {
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"name": "Steel 2",
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"thickness": "2 mm",
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"active": true,
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"bend_radius": "2 mm",
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"k_factor": 0.5
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}
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},
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{
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"command": "sketch.create",
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"params": {
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"plane": "XY",
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"name": "Base"
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}
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},
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{
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"command": "sketch.rectangle.two_point",
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"params": {
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"p0": [
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0,
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0
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],
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"p1": [
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100,
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60
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]
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}
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},
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{
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"command": "sketch.finish",
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"params": {}
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},
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{
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"command": "sheet.flange",
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"params": {
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"type": "base",
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"sketch": "Base"
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}
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},
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{
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"command": "sheet.flange",
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"params": {
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"type": "edge",
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"edges": [
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[
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50,
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0,
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2
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]
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],
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"height": 20
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}
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},
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{
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"command": "sheet.hem",
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"params": {
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"edges": [
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[
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50,
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0,
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20
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]
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],
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"length": 8
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}
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}
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]
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}
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@@ -0,0 +1,21 @@
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{
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"sources": [],
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"what": "sheet.hem with its own gap of 1 mm (an open hem), flipped, on the top edge of a 100 x 60 x 2 base, 10 long",
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"source": "analytic",
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"method": "gap g = 1 is the inner radius; flip turns a top-edge hem over the top face: bend axis at (y 0, z T + g = 3), outer radius g + T = 3 (to y = -3), the leg 10 - 3 = 7 long at z T + 2g .. 2T + 2g = 4 .. 6. V = 100*60*2 + (pi/2)(3^2 - 1^2)*100 + 7*100*2 = 14656.637061",
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"body_count": 1,
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"volume_mm3": 14656.637061435917,
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"faces": 10,
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"bbox": {
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"min": [
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0,
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-3,
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0
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],
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"max": [
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100,
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60,
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6
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]
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}
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}
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@@ -0,0 +1,60 @@
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{
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"commands": [
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{
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"command": "sheet.manage_rules",
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"params": {
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"name": "Steel 2",
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"thickness": "2 mm",
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"active": true,
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"bend_radius": "2 mm",
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"k_factor": 0.5
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}
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},
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{
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"command": "sketch.create",
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"params": {
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"plane": "XY",
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"name": "Base"
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}
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},
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{
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"command": "sketch.rectangle.two_point",
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"params": {
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"p0": [
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0,
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0
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],
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"p1": [
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100,
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60
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]
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}
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},
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{
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"command": "sketch.finish",
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"params": {}
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},
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{
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"command": "sheet.flange",
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"params": {
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"type": "base",
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"sketch": "Base"
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}
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},
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{
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"command": "sheet.hem",
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"params": {
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"edges": [
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[
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50,
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0,
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2
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]
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],
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"length": 10,
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"gap": 1,
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"flip": true
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}
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}
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]
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}
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@@ -0,0 +1,8 @@
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{
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"sources": [],
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"what": "sheet.hem 2 long on a 2 mm sheet: shorter than its own 180 degree bend (gap + T = 2.01)",
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"source": "invariants",
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"method": "the hem's length runs to its outer face, so it must be at least the bend's g + T = 2.01; a leg of 2 - 2.01 < 0 is no hem: a clean refusal",
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"outcome": "refused",
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"refusal": "the hem is shorter than its bend"
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}
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@@ -0,0 +1,58 @@
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{
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"commands": [
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{
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"command": "sheet.manage_rules",
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"params": {
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"name": "Steel 2",
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"thickness": "2 mm",
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"active": true,
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"bend_radius": "2 mm",
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"k_factor": 0.5
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}
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},
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{
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"command": "sketch.create",
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"params": {
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"plane": "XY",
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"name": "Base"
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}
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},
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{
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"command": "sketch.rectangle.two_point",
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"params": {
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"p0": [
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0,
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0
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],
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"p1": [
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100,
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60
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]
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}
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},
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{
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"command": "sketch.finish",
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"params": {}
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},
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{
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"command": "sheet.flange",
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"params": {
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"type": "base",
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"sketch": "Base"
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}
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},
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{
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"command": "sheet.hem",
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"params": {
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"edges": [
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[
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50,
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0,
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2
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]
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],
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"length": 2
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}
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}
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]
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}
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