When you cut an opening in a masonry wall, a lintel carries the masonry above it. Thanks to arching action, the lintel does not carry the whole wall — only a 45-degree triangle of masonry directly over the opening. This calculator applies the NCMA TEK 12-3 method to find that load and the resulting bending moment.
How it works
The loaded masonry forms a triangle whose height equals half the opening span:
triangle height ht = span / 2 (capped at actual wall height h)
If h >= ht: masonry load W = (1/2) * span * ht * weight (full triangle)
If h < ht: W = (span * h - h^2) * weight (trapezoid)
equivalent uniform w_m = W / span
total w = w_m + superimposed uniform load
effective span L = clear span + bearing (default 8 in total)
moment M = w * L^2 / 8
The triangle is the key idea: a wide opening with a tall wall above it loads the lintel far less than the dead weight of the whole wall would suggest.
Example and notes
A 6 ft opening in a wall weighing 55 psf with at least 3 ft of masonry above it gives a triangle 3 ft high, a masonry load of 0.5 × 6 × 3 × 55 ≈ 495 lb, an equivalent uniform of about 82.5 plf, and a moment near 235 lb-ft over a 6.67 ft effective span. Add floor or roof loads separately, then choose a precast or steel lintel rated above the moment demand and confirm bearing and deflection.