feat(rebar): P3 and P6 end at the coping middle level; e_top computed from it

The coping middle level is (Level underside + step top)/2. P3's top and P6's upper limit are this level, and e_top is the
step top minus it (P1: 1322, replacing the 1623 reverse-engineered value). On P1 P3 goes from 38 to 39 ties and P6 stays at
8 levels. With taper h2 = 3000 the middle level is 13275: P3 37 ties, P6 8 levels (32 bars), e_top 2072.

Co-Authored-By: Claude Haiku 5.5 <noreply@anthropic.com>

src/core/rebar/column.ts

@@ -52,7 +52,9 @@ export function columnInputFor(model: PierModel, base: ColumnInput = COLUMN_P1):
   // P1 top = C3 − 100 (계산 2026-10-23), so e_P1 = step top − (C3 − 0.1) = 485 on P1.
   const c3 = model.copingRefTop - 0.127 - 2 * 0.0572;
   const eP1 = Math.round((seg.top - (c3 - 0.1)) * 1000);
-  return { ...base, Hc, hcop, eP1 };
+  // e_top: the coping middle level (Level 하면 + 계단 상면)/2 is the top of P3 and P6 (승인 2026-10-23).
+  const eTop = Math.round((seg.top - (model.levelBottom + seg.top) / 2) * 1000);
+  return { ...base, Hc, hcop, eP1, eTop };
 }
 
 export const COLUMN_P1: ColumnInput = {
@@ -61,7 +63,8 @@ export const COLUMN_P1: ColumnInput = {
   hcop: 2644,
   c: 125,
   eP1: 485,
-  eTop: 1623,
+  // Coping middle level: (Level 하면 + 계단 상면)/2 on P1 = 42.233 → e_top 1322 (승인 2026-10-23, Q-C3 대체).
+  eTop: 1322,
   Hf: 2000,
   nDiv: 46,
   ctcCoupler: 3000,
@@ -154,7 +157,8 @@ export function columnRebar(x: ColumnInput = COLUMN_P1, m: Material = DEFAULT_MA
   // P6 crossties (기둥철근.md §7): 4 bars per 단, from the first kept P4
   const z4first = p4.length ? p4[0] : z5last;
   const p6Levels: number[] = [];
-  for (let z = z4first; z <= x.Hc; z += x.ctcP6) p6Levels.push(z);
+  // P6 runs up to the same top as P3, the coping middle level (승인 2026-10-23).
+  for (let z = z4first; z <= zTopT; z += x.ctcP6) p6Levels.push(z);
   const p6Straight = 2 * tieRadius;
   const p6Hook = hookLength('tie90', dH16);
   const p6Length = p6Straight + 2 * Math.round(p6Hook); // 135 mm per hook, as in the document

tests/column-model.test.ts

@@ -24,4 +24,15 @@ describe('기둥 철근 높이는 모델에서 (Hc · h_cop, 승인 2026-10-23)'
     // The P1 top is anchored to the step top (and C3), so it does not move with h2.
     expect(col.zTop1).toBeCloseTo(14862, 0);
   });
+
+  it('P3 and P6 end at the coping middle level: P1 e_top 1322; taper 3000 gives e_top 2072, P3 37 ties, P6 32 bars', () => {
+    const p1 = columnInputFor(buildPier(loadP1()));
+    expect(p1.eTop).toBeCloseTo(1322, 0);
+    const high = columnInputFor(buildPier({ ...loadP1(), copingH2Mm: 3000 }));
+    expect(high.eTop).toBeCloseTo(2072, 0);
+    const col = columnRebar(high);
+    expect(col.zTopT).toBeCloseTo(13275, 0);
+    expect(col.p3Count).toBe(37);
+    expect(col.p6Count).toBe(32);
+  });
 });

tests/rebar-column.test.ts

@@ -31,12 +31,12 @@ describe('기둥 철근 C4 (기둥철근.md, plan C4)', () => {
     expect(c.tieCircumference).toBeCloseTo(5657.7, 1);
   });
 
-  it('P3: l_e = 2340, 38 ties from 2.340 at @300 (top 13.440)', () => {
-    expect(c.zTopT).toBe(13724);
+  it('P3: l_e = 2340, 39 ties from 2.340 at @300, top at the coping middle level 14.025 (승인 2026-10-23)', () => {
+    expect(c.zTopT).toBe(14025);
     expect(c.lE).toBe(2340);
-    expect(c.p3Count).toBe(38);
+    expect(c.p3Count).toBe(39);
     expect(c.p3[0]).toBe(2340);
-    expect(c.p3[c.p3.length - 1]).toBe(13440);
+    expect(c.p3[c.p3.length - 1]).toBe(13740);
   });
 
   it('P5: 19 ties @120 from 2.220 down to 0.060', () => {

tests/rebar-summary.test.ts

@@ -24,12 +24,12 @@ describe('③ 철근표 요약 (P1)', () => {
     expect(count('C16')).toBe(22);
   });
 
-  it('column: P1 230, P2 230, couplers 368, P3 38, P5 19, P4 8, P6 32', () => {
+  it('column: P1 230, P2 230, couplers 368, P3 39, P5 19, P4 8, P6 32', () => {
     expect(count('P1')).toBe(230);
     expect(count('P2')).toBe(230);
     expect(count('주철근 커플러')).toBe(368);
     expect(count('띠철근 커플러')).toBe(35);
-    expect(count('P3')).toBe(38);
+    expect(count('P3')).toBe(39);
     expect(count('P5')).toBe(19);
     expect(count('P4')).toBe(8);
     expect(count('P6')).toBe(32);