{ "tool": "fixture-stress-comparator", "author": "britten-mintz", "version": "1.0.0", "description": "Structural constants for retail shelving materials. Used in deflection calculations for simply-supported beams under distributed load.", "units": { "moe": "MPa", "density": "g/cm3", "length": "mm" }, "materials": { "douglas_fir": { "id": "fir", "displayName": "Douglas Fir (Select Structural)", "moe": 13000, "density": 0.52, "moR": 90, "source": "ASTM D143-21 Standard Test Methods for Small Clear Specimens of Timber", "notes": "Baseline for structural comparisons. High stiffness-to-weight ratio." }, "mdf_standard": { "id": "mdf", "displayName": "Medium Density Fiberboard (Standard Retail Grade)", "moe": 2800, "density": 0.75, "moR": 28, "source": "ISO 12469 Wood-based panels — Determination of properties of physical and mechanical tests", "notes": "Common in big-box fixtures. Low shear strength compared to solid wood." }, "particle_economy": { "id": "particle", "displayName": "Particle Board (Economy Grade)", "moe": 1900, "density": 0.68, "moR": 22, "source": "ANSI/A208.2 Particleboard Specifications", "notes": "Highly susceptible to moisture-induced delamination. Not recommended for spans > 600mm without reinforcement." } }, "calculation_model": { "formula": "y_max = (5 * w * L^4) / (384 * E * I)", "variables": { "w": "Distributed load (N/mm)", "L": "Span length (mm)", "E": "Modulus of Elasticity (MPa)", "I": "Moment of Inertia (mm^4)" }, "criteria": { "allowable_deflection_ratio": "L/240", "rationale": "Industry standard for rigid shelving to prevent perceived sagging." } } }