Beam Span Calculator

Determine required beam size based on span and loading.

Half the joist span on each side of the beam
Required Beam
Total Load
Load per Lin. Ft
Max Moment
Max Shear
Max Deflection
Last updated: 2026-03-10

LVL Beam Size Guide by Span

40 psf live + 15 psf dead, 12' tributary width

Span Load (plf) LVL Size Glulam Steel
8 ft6603.5×9.25"3.5×9"W6×12
10 ft6603.5×11.25"5.125×9"W8×13
12 ft6603.5×11.875"5.125×10.5"W8×18
16 ft6603.5×14"5.125×12"W10×19
20 ft6603.5×18"5.125×15"W10×26
24 ft6605.25×18"6.75×16.5"W12×30

How We Calculate This

This beam span calculator uses established formulas and industry-standard data to provide accurate estimates.

  • Enter your specific values into the calculator fields above
  • Our algorithm applies the relevant formulas using your inputs
  • Results are calculated instantly in your browser — nothing is sent to a server
  • Review the detailed breakdown to understand how each factor affects your result

These calculations are estimates based on standard formulas. For critical decisions, always consult a qualified professional.

How to Convert Oven Recipes to Air Fryer

This calculator sizes structural beams using engineering principles: total load is computed from tributary area and loading, then required section modulus and moment of inertia are calculated to select an appropriate beam.

The basic rule:

  • Total uniform load (w) = (live load + dead load) × tributary width (plf)
  • Maximum bending moment (M) = w × L² ÷ 8 (for uniformly loaded simple span)
  • Required section modulus (S) = M ÷ allowable bending stress (Fb)
  • Maximum deflection = 5wL⁴ ÷ (384EI) — must be ≤ L/360 for live load
  • Beam selected is the smallest section meeting both bending and deflection criteria

This calculator provides preliminary sizing only. All structural beams must be designed and approved by a licensed structural engineer. Actual sizing depends on connection details, bearing conditions, unbraced length, load duration, and other factors not captured here.

When Would You Use This Calculator?

This beam span calculator is designed for anyone who needs quick, reliable estimates without complex spreadsheets or professional consultations.

  • When you need a quick estimate before committing to a purchase or project
  • When comparing different options or scenarios side by side
  • When planning a budget and need to understand potential costs
  • When you want to verify a quote or estimate you've received from a professional
  • When teaching or learning about the concepts behind these calculations

Frequently Asked Questions

What size beam do I need for a 16 foot span?

For a 16-foot span carrying a typical floor load (40 psf live + 15 psf dead) with 12-foot tributary width, you'll need approximately a 3.5" × 14" LVL, a 5.125" × 12" glulam, or a tripled 2×12 in Douglas Fir. Steel option: W8×24 or W10×19.

What is tributary width?

Tributary width is the floor area that loads onto the beam, measured perpendicular to the beam. It's typically half the joist span on each side. If joists span 12 feet on each side of a beam, the tributary width is 12 feet (6 feet from each side).

LVL vs glulam — which is better for beams?

LVL (1.75" or 3.5" wide) is stronger per unit width and better for narrow, deep beams where height isn't a concern. Glulam (3.5" or 5.125" wide) is better for wider beams, exposed applications, and where a shallower profile is needed. Both are engineered and more consistent than dimensional lumber.

Can I use doubled 2×12s as a beam?

Doubled 2×12 Douglas Fir can span approximately 8-10 feet for typical residential floor loads. Tripled 2×12s extend this to about 12-14 feet. Beyond that, LVL or steel is typically required. All plies must be nailed together per code (16d nails at 16" OC staggered).

What is the deflection limit for beams?

The standard deflection limit is L/360 for live load and L/240 for total load, where L is the beam span. For a 16-foot beam, maximum live load deflection is 192/360 = 0.53 inches. Stricter limits (L/480) may apply under tile floors or sensitive finishes.

Do I need a structural engineer for beam sizing?

Yes, for any load-bearing beam. While this calculator provides preliminary estimates, a licensed structural engineer must design the beam, specify connections, verify bearing capacity at supports, and stamp the plans. Most building departments require engineered beam calculations.