Beam calculator

Three-check beam analysis: bending stress, deflection, and horizontal shear per NDS reference values.

lbs/ft
Dead + live load per foot
ft
in
3.5" for double 2x
in
11.25" for 2x12
Beam loading
All checks pass
200 lbs/ft uniform load12' span3.5" x 11.25"
1. Bending (Fb = 1350 psi)
Pass
Required S: 32.00 in³ · Provided S: 73.83 in³ · Ratio: 2.31x
2. Deflection (L/360, E = 1.7M psi)
Pass
Actual: 0.1322" (L/1089) · Allowable: 0.4000"
3. Horizontal Shear (Fv = 180 psi)
Pass
Actual: 45.7 psi · Allowable: 180 psi
Max moment
3600 ft-lbs
43200 in-lbs
Max deflection
0.1322″
L/1089
Max shear
1200 lbs
45.7 psi stress

How Beam Sizing Works

A beam must pass three independent checks to be structurally adequate. Failing any one means the beam is undersized for that condition, even if it passes the other two.

The Three Checks

1. Bending (Fiberstress) — The beam must resist the bending moment without exceeding the allowable bending stress (Fb) for the species and grade. This check compares the required section modulus against what the beam provides.

2. Deflection — The beam must not deflect more than L/360 for floors or L/240 for roofs. Excessive deflection causes bouncy floors, cracked finishes, and visible sag even if the beam is structurally safe.

3. Horizontal Shear — Wood beams can fail along the grain near the supports. The actual shear stress (fv = 3V/2bd) must not exceed the allowable shear stress (Fv).

What load should I enter?

Total load = dead load + live load, expressed in pounds per linear foot of beam. For a typical residential floor beam: dead load ~10-15 psf, live load 40 psf, multiplied by the tributary width. A beam carrying 8 feet of floor at 50 psf total would have 400 lbs/ft total load.

These calculators are provided for estimation and educational purposes only. Always consult a licensed structural engineer for final beam sizing decisions.