248 lines
9.9 KiB
TypeScript
248 lines
9.9 KiB
TypeScript
import { hookLength, NOMINAL_DIAMETER, type BarSize } from './common';
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/**
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* 확대기초 철근 B1–B8, B10–B12 (plan C5). Source: RAG/확대기초철근 (1).md, 2026-10-22 최종 정리.
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* B9 (전단철근) is not computed yet. Lengths in mm, heights in mm from the 확대기초 하면.
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*/
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export const FOOTING_DEFAULTS = {
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/** 피복 상면 / 측면 / 하면 (최외측 철근 중심까지). */
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cTop: 100,
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cSide: 100,
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cBottom: 150,
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/** 첫 철근 최소 여유. */
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eMin: 150,
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/** 격자 실간격 s. */
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s: 125,
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/** 하면 1단과 2단의 간격 Δ_2. */
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delta2: 100,
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/** B10 높이 간격 s_v and 조립 단 배수 n. */
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sV: 200,
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n: 2,
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/** 상단 최소 여유 e_top (B10 top level, §7.1). */
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eTop: 150,
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} as const;
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export interface GridResult {
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/** 격자 칸 수 n = floor((A − 2·e_min)/s); 위치 수 = n + 1. */
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n: number;
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/** 격자 길이 G = n·s. */
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G: number;
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/** 양끝 여유 e = (A − G)/2. */
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e: number;
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/** 위치 수 n + 1. */
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positions: number;
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}
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/** Grid along one side of the footing (§3.1). side = W for B1–B4, L for B5–B8. */
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export function grid(side: number, s: number = FOOTING_DEFAULTS.s, cSide: number = FOOTING_DEFAULTS.cSide, eMin: number = FOOTING_DEFAULTS.eMin): GridResult {
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const A = side - 2 * cSide;
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const n = Math.floor((A - 2 * eMin) / s);
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const G = n * s;
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const e = (A - G) / 2;
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return { n, G, e, positions: n + 1 };
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}
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const d = (size: BarSize) => NOMINAL_DIAMETER[size];
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/** Leg of B1·B3·B5·B7: 12·d_b on each end (proposed rule, spec §1.2 · Q-B5). */
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export const legLength = (size: BarSize) => 12 * d(size);
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/** Layer heights (§4.2), mm from the 하면. H = footing height. */
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export interface Layers {
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B5: number;
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B1: number;
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B24: number;
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B68: number;
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B3: number;
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B7: number;
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}
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export function layers(H: number): Layers {
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const { cTop, cBottom, delta2 } = FOOTING_DEFAULTS;
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const zB5 = H - cTop;
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const zB1 = zB5 - (d('S29') + d('S25')) / 2;
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const zB24 = cBottom;
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const zB68 = cBottom + (d('S25') + d('S29')) / 2;
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return { B5: zB5, B1: zB1, B24: zB24, B68: zB68, B3: zB24 + delta2, B7: zB68 + delta2 };
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}
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/** Lengths of the B1–B4 family along the length L (§5.2). */
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export function legB2(H: number): number {
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const z = layers(H);
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return z.B1 - z.B24; // 1723 at H 2000
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}
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export interface FootingBar {
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name: 'B1' | 'B2' | 'B3' | 'B4' | 'B5' | 'B6' | 'B7' | 'B8' | 'B10-1' | 'B10-2' | 'B11' | 'B12';
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size: BarSize;
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/** Bars in all (over the footing). */
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count: number;
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/** Length of one bar, mm (straight part + legs). */
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length: number;
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}
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/** B1–B4 (§5): the grid along W, with lengths from L. */
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export function bottomBars(L: number, W: number, H: number): FootingBar[] {
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const g = grid(W);
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const n = g.positions;
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const N4 = Math.ceil(n / 2); // B4 at even i
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const N2 = Math.floor(n / 2); // B2 at odd i
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const l0 = L - 2 * FOOTING_DEFAULTS.cSide;
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const leg2 = legB2(H);
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return [
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{ name: 'B1', size: 'S25', count: N2, length: l0 + 2 * legLength('S25') },
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{ name: 'B2', size: 'S25', count: N2, length: l0 + 2 * leg2 },
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{ name: 'B3', size: 'S19', count: N2, length: l0 + 2 * legLength('S19') },
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{ name: 'B4', size: 'S25', count: N4, length: l0 },
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];
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}
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/** B5–B8 (§6): the grid along L, with lengths from W. */
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export function crossBars(L: number, W: number, H: number): FootingBar[] {
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const g = grid(L);
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const n = g.positions;
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const N8 = Math.ceil(n / 2); // B8 at even i
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const N6 = Math.floor(n / 2); // B6, B5, B7 at odd i
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const l0 = W - 2 * FOOTING_DEFAULTS.cSide;
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const z = layers(H);
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const leg6 = z.B5 - z.B68;
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return [
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{ name: 'B5', size: 'S29', count: N6, length: l0 + 2 * legLength('S29') },
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{ name: 'B6', size: 'S29', count: N6, length: l0 + 2 * leg6 },
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{ name: 'B7', size: 'S19', count: N6, length: l0 + 2 * legLength('S19') },
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{ name: 'B8', size: 'S29', count: N8, length: l0 },
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];
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}
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/** B10 levels: m = floor((z_B5 − e_top − c_b)/s_v) (§7.1), so the count is m + 1 (9 for P1, H 2000). */
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export function b10Levels(H: number): number {
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const m = Math.floor((layers(H).B5 - FOOTING_DEFAULTS.eTop - FOOTING_DEFAULTS.cBottom) / FOOTING_DEFAULTS.sV);
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return m + 1;
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}
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/** Depth of a side bar from the side face: c_s + (d_a + d_b)/2 (§7, §8.3). B10-1 hangs on B6, B10-2 on B2. */
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export const sideDepth = (dOuter: number, dB10: number) => FOOTING_DEFAULTS.cSide + (dOuter + dB10) / 2;
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/** B10-1 (on W sides) and B10-2 (on L sides): m + 1 levels at s_v, two faces each (§7). */
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export function sideBars(L: number, W: number, H: number): FootingBar[] {
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const depth1 = sideDepth(NOMINAL_DIAMETER.S29, NOMINAL_DIAMETER.S19); // B10-1: 123.85
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const depth2 = sideDepth(NOMINAL_DIAMETER.S25, NOMINAL_DIAMETER.S19); // B10-2: 122.25
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const levels = b10Levels(H);
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const hook = hookLength('main90', d('S19'));
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return [
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{ name: 'B10-1', size: 'S19', count: levels * 2, length: L - 2 * depth2 + 2 * hook },
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{ name: 'B10-2', size: 'S19', count: levels * 2, length: W - 2 * depth1 + 2 * hook },
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];
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}
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/** Assembly levels j = n, 2n, … strictly inside the B10 levels, 0 < j < m (§8.1). */
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export function assemblyJs(H: number): number[] {
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const m = b10Levels(H) - 1;
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const js: number[] = [];
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for (let j = FOOTING_DEFAULTS.n; j < m; j += FOOTING_DEFAULTS.n) js.push(j);
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return js;
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}
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/** Ends of B11 / B12 lie (d_B10 + d_assembly)/2 further inside than the B10 depth, so the two bars just touch (§8.3). */
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export function assemblyEndOffset(): number {
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return (d('S19') + d('S16')) / 2; // 17.5
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}
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/** B11 (along W, between the B10-2 levels) and B12 (along L), 4s apart with a 2s stagger per level (§8). */
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export function assemblyBars(L: number, W: number, H: number): FootingBar[] {
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const levelsJ = assemblyJs(H);
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const perLevel = (n: number, startOdd: number, startEven: number) =>
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levelsJ.map((_, idx) => {
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const i0 = idx % 2 === 0 ? startOdd : startEven;
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return Math.floor((n - i0) / 4) + 1;
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});
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const nW = grid(W).positions - 1; // 61
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const nL = grid(L).positions - 1; // 79
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// B11 is spread along L (n = 79) and B12 along W (n = 61); each level has its own count.
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const b11 = perLevel(nL, 0, 2).reduce((a, b) => a + b, 0);
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const b12 = perLevel(nW, 0, 2).reduce((a, b) => a + b, 0);
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const hook = Math.round(hookLength('main90', d('S16'))); // 246 mm, rounded as in the document (§8.3)
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const depth1 = sideDepth(NOMINAL_DIAMETER.S29, NOMINAL_DIAMETER.S19);
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const depth2 = sideDepth(NOMINAL_DIAMETER.S25, NOMINAL_DIAMETER.S19);
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return [
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{ name: 'B11', size: 'S16', count: b11, length: W - 2 * (depth1 + assemblyEndOffset()) + 2 * hook },
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{ name: 'B12', size: 'S16', count: b12, length: L - 2 * (depth2 + assemblyEndOffset()) + 2 * hook },
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];
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}
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/** Plane positions of the grid along one side, mm from the footing centre: x_i = −side/2 + c_s + e + i·s (§3.1). */
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export function gridPositions(side: number): number[] {
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const g = grid(side);
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return Array.from({ length: g.positions }, (_, i) => -side / 2 + FOOTING_DEFAULTS.cSide + g.e + i * FOOTING_DEFAULTS.s);
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}
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/** B9 bar of the rule (§9.1, Q-B18): a vertical bar at (x, n), mm from the footing centre. */
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export interface B9Bar {
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x: number;
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n: number;
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}
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/**
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* B9 positions (확대기초철근 (1).md §9.1, rule applied): rows at W index 1, 5, 9 … (step 4 on the grid); in row r the L index
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* starts at 1 (even r) or 3 (odd r) and steps by 4. A bar is left out when it falls in a column zone: its centre is closer
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* than the column radius plus half a bar to a column axis (Q-B20, applied: the 기둥 구역 is removed).
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*/
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export function b9Bars(L: number, W: number, columnX: number[], columnD: number = 2000): { rows: number; perRow: number[]; bars: B9Bar[] } {
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const xs = gridPositions(L);
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const ns = gridPositions(W);
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const rowIndices: number[] = [];
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for (let i = 1; i < ns.length; i += 4) rowIndices.push(i);
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const halfBar = NOMINAL_DIAMETER.H16 / 2;
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const bars: B9Bar[] = [];
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const perRow = rowIndices.map((iW, r) => {
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const start = r % 2 === 0 ? 1 : 3;
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let kept = 0;
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for (let iL = start; iL < xs.length; iL += 4) {
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const x = xs[iL];
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const n = ns[iW];
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if (columnX.some((cx) => Math.hypot(x - cx, n) < columnD / 2 + halfBar)) continue;
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bars.push({ x, n });
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kept++;
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}
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return kept;
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});
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return { rows: rowIndices.length, perRow, bars };
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}
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/**
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* B9 전단철근 (확대기초철근 (1).md §9). Vertical bars from the B2·B4 level to the B5 level, H16, with 135° hooks at both ends.
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* Length = l_v + 2·l_h (l_v = z_B5 − z_B24). The hook tail (6·d) turns toward the footing centre (Q-B19, applied).
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*/
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export function shearB9(L: number, W: number, H: number, columnX: number[] = [], columnD: number = 2000): { rows: number; perRow: number[]; count: number; length: number; bars: B9Bar[] } {
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const { rows, perRow, bars } = b9Bars(L, W, columnX, columnD);
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const lv = layers(H).B5 - layers(H).B24; // 1750
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const lh = hookLength('stirrup135', d('H16'));
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return { rows, perRow, count: bars.length, length: lv + 2 * lh, bars };
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}
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/** Leg offsets from the grid line (§5.3, §6.3): the B1/B3 and B5/B7 legs sit beside the outer leg. */
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export function legOffsets(): { B1: number; B3: number; B5: number; B7: number } {
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const dB2 = NOMINAL_DIAMETER.S25;
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const dB1 = NOMINAL_DIAMETER.S25;
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const dB3 = NOMINAL_DIAMETER.S19;
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const dB6 = NOMINAL_DIAMETER.S29;
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const dB5 = NOMINAL_DIAMETER.S29;
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const dB7 = NOMINAL_DIAMETER.S19;
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return {
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B1: (dB2 + dB1) / 2,
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B3: (dB2 + dB3) / 2,
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B5: (dB6 + dB5) / 2,
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B7: (dB6 + dB7) / 2,
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};
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}
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/** B11/B12 heights (§8.1): B10 levels at 150 + k·s_v; the assembly levels are j = n, 2n, 3n (n = 2), and B12 sits d_B10 above B11. */
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export function assemblyHeights(H: number): { B11: number[]; B12: number[] } {
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const { cBottom } = FOOTING_DEFAULTS;
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const sV = FOOTING_DEFAULTS.sV;
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const js = assemblyJs(H);
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const B11 = js.map((j) => cBottom + j * sV);
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const B12 = B11.map((z) => z + NOMINAL_DIAMETER.S19);
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return { B11, B12 };
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}
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