Beam Load Calculator

Calculate the maximum load capacity of a beam based on span, material properties, and cross-section dimensions. Determine safe working loads for construction beams.

MAX SAFE LOAD
--
Section Modulus
--
Max Moment
--
Load per Foot
--
Self Weight
--

Understanding Beam Load Capacity

Beam load capacity determines the maximum weight a beam can safely support without exceeding its allowable bending stress. This is fundamental to structural design in construction, ensuring that floors, roofs, headers, and other beam applications are safe and compliant with building codes.

The capacity depends on three main factors: the beam's cross-sectional dimensions (which determine the section modulus), the material's allowable bending stress (Fb), and the span length. Longer spans, narrower beams, and weaker materials all reduce the load capacity.

Load Capacity Formulas

Section Modulus (S) = (b × d²) ÷ 6
Maximum Moment (M) = Fb × S

For uniform load:

Max Load = (8 × M) ÷ L

For center point load:

Max Load = (4 × M) ÷ L

Allowable Bending Stress (Fb) Values

MaterialGradeFb (psi)
Douglas Fir-Larch#11,000
Douglas Fir-Larch#2850
Southern Pine#11,100
Hem-Fir#2850
LVL--2,600
Glulam24F2,400
Steel (A36)--21,600

Common Beam Sizes

  • 2x8: Actual 1.5" x 7.25" - Good for short spans (6-8 ft) under light loads
  • 2x10: Actual 1.5" x 9.25" - Common floor joist for 10-12 ft spans
  • 2x12: Actual 1.5" x 11.25" - Floor joists for longer spans, headers
  • 4x10: Actual 3.5" x 9.25" - Deck beams, porch headers
  • 6x10: Actual 5.5" x 9.25" - Heavy structural beams

Frequently Asked Questions

How much weight can a 2x10 beam hold?

A single #2 Douglas Fir 2x10 (1.5" x 9.25") with Fb=850 psi can support approximately 1,350 lbs uniformly distributed over a 10-foot span. Doubling (sistering) beams roughly doubles the capacity. Always verify with local codes and an engineer for structural applications.

Why is beam depth more important than width?

The section modulus formula (S = bd²/6) shows that depth is squared. Doubling the depth quadruples the section modulus, while doubling the width only doubles it. This is why a 2x10 is much stronger than a 4x5 of the same material, even though both have similar cross-sectional areas.

What safety factor should I use?

The published Fb values already include a safety factor (typically 2.0-2.5 for wood). Do not apply additional safety factors to the allowable stress unless specifically required by your engineer. However, always account for all loads including dead load (self-weight), live load, and any point loads.