import type { MomentOfInertiaInput, MomentOfInertiaResult } from './types.js';
/**
 * Moment of Inertia (Section Properties) Calculator
 *
 * Calculates area, second moment of area (Ix, Iy), section modulus (Sx, Sy),
 * and radius of gyration (rx, ry) for common structural cross-sections.
 *
 * All dimensions in mm; results in mm², mm⁴, mm³, mm.
 *
 * @reference Timoshenko, S. "Mechanics of Materials" — rectangle, circle, hollow-section formulas.
 * @reference Young, W.C. & Budynas, R.G. "Roark's Formulas for Stress and Strain", 7th Ed. —
 *            I-beam, T-section, C-channel component-method (parallel-axis) derivations.
 * @reference AISC Steel Construction Manual — section property naming convention (Ix, Sx, rx, etc.).
 * These are closed-form section-property formulas, not a table lookup: every shape's Ix/Sx/rx
 * is independently re-derivable from the definitions above, and the golden tests in
 * momentOfInertia.test.ts pin hand-computed values for every shape, not just the simple ones.
 *
 * @throws {RangeError} Dimensions must be positive
 * @throws {RangeError} Diameter must be positive
 * @throws {RangeError} Diameters must be positive
 * @throws {RangeError} Inner dimensions must be smaller than outer
 * @throws {RangeError} Inner diameter must be smaller than outer
 * @throws {RangeError} Web thickness must be less than flange width
 * @throws {RangeError} 2 x flange thickness must be less than total height
 * @param input - discriminated union by `shape`
 * @returns section properties
 */
export declare function momentOfInertia(input: MomentOfInertiaInput): MomentOfInertiaResult;
//# sourceMappingURL=momentOfInertia.d.ts.map