Lumber Spans

Maximum span from species, grade, size, load.

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Example

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Checked against published worked examples from: American Wood Council; Southern Forest Products Association.

Details, formula, and sources

Formula or tableAllowable simple-beam span: deflection-limited L = cbrt(384 × E × I / (5 × w × n)) (5wL⁴/384EI = L/n), w the live load when entered, else the total; strength-limited from M_allow = Fb' × S, with Fb' = Fb × C_F × C_r (C_F the size factor, 1.0 for Southern Pine; C_r = 1.15 at 24 in on center or closer). F_b and E from AWC NDS-2018 design values; deflection limit L/360 (live) or L/240 (total) per IRC §R301.7.

Source and editionAWC NDS-2018 (National Design Specification for Wood Construction). IRC 2024 (International Residential Code). §R301.7, R502.3, R802.4 (unchanged from 2021).

Free accessAWC NDS free at awc.org/codes-standards. Free read-only access at codes.iccsafe.org.

What governsEstimate. AHJ and licensed structural engineer govern.

API field namesspecies_grade, nominal_size, total_load_psf, tributary_width_in, deflection_limit, allowable_span_ft, by_bending_ft, by_deflection_ft, governing

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