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eng.timber-beam-span Calculator
Calculates timber beam maximum safe span, bending stress, and deflection from section dimensions, species grade, and loading. Timber design uses species-specific tabulated stress values — Douglas Fir No. 1 has Fb = 1,500 psi; Southern Pine No. 2 has Fb = 1,250 psi.
Inputs
Beam Width Mm
Horizontal extent perpendicular to the length.
Beam Height Mm
Vertical measurement. For health calculators, typically standing height without shoes.
Span M
Distance between supports (m). Longer spans experience larger bending moments — structural adequacy must be rechecked.
Total Load Kn M
Applied force or weight (N or kN). Divide into dead load (permanent) and live load (variable — people, wind, etc.).
Fb Mpa
Internal force per unit area (Pa or MPa). Must stay below yield strength in service.
Results
actual bending stress (MPa)
Internal force per unit area (Pa or MPa). Must stay below yield strength in service. Beyond yield: permanent deformation. Beyond tensile strength: fracture.
allowable vs actual
Reference formula or conversion factor shown for context.
midspan deflection (mm)
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
deflection check L/360
Maximum lateral displacement of the beam under load. Codes typically limit to L/360 for floors (to avoid cracking finishes) or L/240 for roofs. Excessive deflection signals the beam is undersized.
section modulus S (cm³)
Sample size or count used in the calculation.
E for Douglas Fir
Reference formula or conversion factor shown for context.