import type { BeamDeflectionInput, BeamDeflectionResult, BeamDeflectionCurvePoint } from './types.js';
/**
 * Maximum elastic deflection of a prismatic beam and its serviceability check.
 *
 * # Units (SI, mm-based)
 * E in MPa (= N/mm²), I in mm⁴, span L in mm, w in N/mm, P in N → deflection in mm.
 * This mm/N/MPa convention lets the moment of inertia flow straight from
 * {@link momentOfInertia} (which returns I in mm⁴) into this calculation.
 *
 * # What it returns
 * δ_max (at its canonical location), the allowable deflection span/ratio for the chosen
 * serviceability limit (e.g. L/360), their ratio (utilization), and an `isSafe` verdict.
 *
 * # v1 scope (deliberately simple — matches common baseline calculators)
 * 1. **Elastic, small-deflection, prismatic (constant EI) beam.** Linear superposition of
 *    a uniform and a point load.
 * 2. **Point load acts at the canonical maximum-deflection location** — midspan for
 *    simple/fixed supports, the free end for a cantilever. Off-centre point loads (whose
 *    peak is neither midspan nor the load point) are deferred, not approximated.
 * 3. Because both the uniform peak and the (canonically placed) point peak occur at the
 *    same location, the combined case superposes there exactly — the reported δ_max is
 *    the true combined maximum, not a same-location estimate.
 *
 * Reference: any mechanics-of-materials text (e.g. Roark's Formulas for Stress and Strain).
 *
 * @throws {RangeError} span, youngsModulus, momentOfInertia, or deflectionLimitRatio is
 *   not positive, or a load value required by the selected load type is missing.
 */
export declare function beamDeflection(input: BeamDeflectionInput): BeamDeflectionResult;
/**
 * Sample the elastic deflected shape v(x) from 0 to span for visualization. Uses the
 * same shape functions as {@link beamDeflection}, so `max(curve)` equals its `maxDeflection`
 * (no second physics — the drawn curve cannot contradict the reported peak).
 *
 * @param count number of samples (>= 2); defaults to 41.
 * @throws {RangeError} same validation as {@link beamDeflection}, plus count < 2.
 */
export declare function beamDeflectionCurve(input: BeamDeflectionInput, count?: number): BeamDeflectionCurvePoint[];
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