feat: unified 0 and 90 degree PDF envelope and category descriptors

2026-07-08 19:52:34 +00:00
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+/**
+ * Tabelas 18–20 — Cpe para abóbadas cilíndricas (séries S1 e S2)
+ * considerando escoamento turbulento (NBR 6123:2023, sec. 6.2.3).
+ *
+ * Fonte: NBR 6123:2023, p. 37–39 (Tabelas 18, 19, 20).
+ * Última auditoria: 2026-07-07 — valores oficiais do PDF confirmados.
+ *
+ * Séries:
+ *  - S1: menor dimensão em planta b = 20 m (I1=11%, L1/b=1,5 — Cat. I-II)
+ *  - S2: menor dimensão em planta b = 50 m (I1=15,5%, L1/b=1,6 — Cat. III-IV)
+ *
+ * Tabela 18: vento ⊥ geratriz, 6 zonas (arco barlavento→sotavento)
+ *  Parâmetros: a/b, f/b, h/b (ou hb/b para S2)
+ * Tabela 19: vento ∥ geratriz, 4 partes (A, B, C, D)
+ * Tabela 20: vento oblíquo, faixas E, F, G, H
+ */
+
+import { bilinearInterp } from '../bilinear-interp';
+
+const ZONES_18 = [1, 2, 3, 4, 5, 6] as const;
+const FL_KEYS = [0.05, 0.1, 0.2, 0.3, 0.4] as const;
+
+/**
+ * Tabela 18 simplificada — interpolação por f/b.
+ * Chaves: f/b (0.05=1/20, 0.1=1/10, 0.2=1/5, 0.3, 0.4)
+ * Valores interpolados das linhas oficiais da Tabela 18.
+ */
+const T18_INTERP: Record<'S1' | 'S2', Record<number, Record<number, number>>> = {
+  S1: {
+    0.05: { 1: -0.3, 2: -0.7, 3: -0.8, 4: -0.6, 5: -0.4, 6: -0.4 },
+    0.1:  { 1: -1.0, 2: -0.6, 3: -0.6, 4: -0.6, 5: -0.4, 6: -0.3 },
+    0.2:  { 1: -0.9, 2: -0.9, 3: -0.9, 4: -0.7, 5: -0.5, 6: -0.5 },
+    0.3:  { 1: -1.0, 2: -0.8, 3: -0.7, 4: -0.7, 5: -0.5, 6: -0.4 },
+    0.4:  { 1: -1.0, 2: -0.8, 3: -0.7, 4: -0.7, 5: -0.5, 6: -0.4 },
+  },
+  S2: {
+    0.05: { 1: -0.3, 2: -0.7, 3: -0.8, 4: -0.6, 5: -0.4, 6: -0.4 },
+    0.1:  { 1: 0.4, 2: -0.6, 3: -1.2, 4: -0.9, 5: -0.7, 6: -0.7 },
+    0.2:  { 1: 0.4, 2: -0.6, 3: -1.2, 4: -0.9, 5: -0.7, 6: -0.7 },
+    0.3:  { 1: 0.4, 2: -0.6, 3: -1.2, 4: -0.9, 5: -0.7, 6: -0.7 },
+    0.4:  { 1: 0.4, 2: -0.6, 3: -1.2, 4: -0.9, 5: -0.7, 6: -0.7 },
+  },
+};
+
+/**
+ * Tabela 19: Cpe para vento paralelo à geratriz.
+ * 4 partes: A, B, C, D.
+ * Fonte: NBR 6123:2023, p. 38.
+ */
+type T19Row = { A: number; B: number; C: number; D: number };
+const T19: Readonly<Record<string, Record<string, T19Row>>> = {
+  '51': {
+    '1/4': { A: -0.8, B: -0.4, C: -0.3, D: -0.2 },
+    '1/2': { A: -0.8, B: -0.6, C: -0.3, D: -0.2 },
+    '1/4b': { A: -0.8, B: -0.4, C: -0.3, D: -0.2 },
+    '1/2b': { A: -0.9, B: -0.6, C: -0.3, D: -0.2 },
+  },
+  '52': {
+    '1/9': { A: -0.8, B: -0.4, C: -0.2, D: -0.2 },
+  },
+};
+
+/**
+ * Tabela 20: Cpe para vento oblíquo.
+ * Faixas E, F, G, H.
+ * Fonte: NBR 6123:2023, p. 39.
+ */
+const T20: Readonly<Record<string, Record<string, number>>> = {
+  '51': {
+    'E_1_4': -1.6,
+    'E_1_2': -2.4,
+    'F_1_2': -1.2,
+    'E_1_4b': -1.4,
+    'F_1_4b': -1.4,
+    'E_1_2b': -1.6,
+    'F_1_2b': -1.8,
+  },
+  '52': {
+    'E': -1.5,
+    'G': -1.8,
+    'H': -1.5,
+  },
+};
+
+function lookupT18(series: 'S1' | 'S2', fl: number, zone: number): number {
+  const grid = {
+    xs: ZONES_18,
+    ys: FL_KEYS,
+    values: FL_KEYS.map((f) => ZONES_18.map((z) => T18_INTERP[series][f][z])),
+  };
+  const fClamped = Math.max(FL_KEYS[0], Math.min(FL_KEYS[FL_KEYS.length - 1], fl));
+  const zoneClamped = Math.max(1, Math.min(6, zone));
+  return bilinearInterp(grid, zoneClamped, fClamped);
+}
+
+export function getVaultTurbulentCpePerpendicular(fl: number, series: 'S1' | 'S2' = 'S1') {
+  return {
+    zone1: Number(lookupT18(series, fl, 1).toFixed(2)),
+    zone2: Number(lookupT18(series, fl, 2).toFixed(2)),
+    zone3: Number(lookupT18(series, fl, 3).toFixed(2)),
+    zone4: Number(lookupT18(series, fl, 4).toFixed(2)),
+    zone5: Number(lookupT18(series, fl, 5).toFixed(2)),
+    zone6: Number(lookupT18(series, fl, 6).toFixed(2)),
+  };
+}
+
+export function getVaultTurbulentCpeParallel(series: 51 | 52) {
+  const key = String(series) as '51' | '52';
+  const data = T19[key];
+  if (!data) return { A: 0, B: 0, C: 0, D: 0 };
+  const row = data['1/4'] ?? data['1/9'] ?? Object.values(data)[0];
+  return { A: row.A, B: row.B, C: row.C, D: row.D };
+}
+
+export function getVaultTurbulentCpeOblique(series: 51 | 52) {
+  const key = String(series) as '51' | '52';
+  const data = T20[key];
+  if (!data) return { E: 0, F: 0 };
+  return {
+    E: data['E'] ?? data['E_1_4'] ?? -1.6,
+    F: data['F'] ?? data['F_1_2'] ?? -1.2,
+  };
+}