Beam Span Calculator

Calculate the maximum allowable span for a wood beam based on size, species, and loading. Quick reference for residential beam spans.

plf
Max Span
14'-6″
controlled by Bending
Bending Span
14.5 ft
stress limit
Deflection Span
29.8 ft
L/360 limit
Section Modulus
63.3 in³
2-ply 2×12
Planning notes, formulas, and examples

About the Beam Span Calculator

Beam span is the distance a beam can safely stretch between supports without exceeding allowable bending stress or deflection limits. The maximum span depends on the beam's cross-section, wood species, grade, and the load it carries. Understanding beam spans is essential for planning open floor layouts, sizing headers, and designing decks.

This beam span calculator reverses the sizing formula—given a specific beam size and load, it computes the maximum span limited by bending stress and deflection. It checks both the bending limit (stress) and the deflection limit (L/360 for floors, L/240 for roofs) and reports the controlling value.

Use this calculator to explore what-if scenarios during design: how far can a doubled 2×10 span at 300 plf? What if you upgrade to a 2×12? The instant feedback helps you make informed framing decisions before consulting an engineer for final approval.

When This Page Helps

Knowing beam span limits helps you plan open floor areas, size headers, and estimate post locations. This calculator gives you quick answers for planning and cost comparisons between different beam options.

How to Use the Inputs

  1. Select or enter the beam size (width and depth).
  2. Enter the number of plies for built-up beams.
  3. Enter the total uniform load per linear foot.
  4. Select the wood species or enter the Fb and E values.
  5. Read the maximum span limited by bending and deflection.
Formula used
Max Span (bending) = √(8 × S × Fb / (w × 12)) Max Span (deflection) = ³√(deflection ratio × 384 × E × I / (5 × w × 1728)) Governing span = min(bending span, deflection span)

Example Calculation

Result: 14'-2″ max span (deflection controls)

A 4×12 beam (S = 73.8 in³, I = 415.3 in⁴) at 200 plf: Bending span = √(8×73.8×1000/(200×12)) = 15.7 ft. Deflection span (L/360) = 14.2 ft. Deflection controls, so max span is 14'-2″.

Tips & Best Practices

  • Deflection limits often control beam span more than bending stress, especially for floor beams.
  • L/360 is the standard deflection limit for floors under live load; L/240 for total load on roofs.
  • Increasing beam depth improves both bending capacity and stiffness (moment of inertia scales as d³).
  • Multi-ply beams multiply both S and I proportionally—doubling plies doubles the span capacity (approximately).
  • LVL and glulam have higher E values than solid sawn lumber, giving better deflection performance.
  • Always confirm critical beam spans with a licensed structural engineer.

Bending vs. Deflection

Beam design checks two criteria. Bending stress must stay below the allowable value (Fb') to prevent failure. Deflection must stay within limits (L/360 for floors) to prevent bouncy floors, cracked finishes, and occupant discomfort. For residential floor beams, deflection almost always controls the design, meaning the beam must be bigger than bending alone would require.

Built-Up vs. Solid Beams

Built-up beams (multiple 2× members nailed together) are convenient because they use standard lumber and can be assembled on site. Solid timbers (4×, 6×) have a slightly higher section modulus per total width but are heavier and harder to source in long lengths.

Cantilever and Multi-Span Beams

This calculator assumes a simple span (beam supported at two ends). Continuous beams over three or more supports, and cantilevered beams, have different moment distributions that affect the maximum span. These configurations require engineering analysis.

Sources & Methodology

Last updated:

Frequently Asked Questions

  • L/360 for floors under live load is standard. L/240 is used for total load (dead + live) on roof beams. L/180 is sometimes used for non-structural members. More restrictive limits (L/480, L/600) may be specified for sensitive finishes like tile.