Lintel design

The smallest beam in the building, and the one most often over-designed

A lintel is a beam over a door or window opening. It is the member every building has dozens of, that almost nobody calculates, and that almost never fails — which makes it a good place to learn something that the bigger members hide: most of what a structural element carries is decided before you reach the bending moment.

Do the loading properly on a lintel and the design falls out in three lines. Do it carelessly and you can be four times out, in either direction.

Arching action — the whole trick

The naive assumption is that a lintel carries the entire column of blockwork above it, all the way to the roof. It usually does not.

Mortared blockwork is quite capable of behaving as an arch. The load above an opening finds a path around it, into the masonry either side, and what is left resting on the lintel is a triangle of wall spreading at roughly 45° from each bearing. Everything outside that triangle arches over.

Triangle base = span L, apex height = L/2
Area = 1/2 x L x L/2 = L2/4
Load per m = (unit weight of wall) x L / 4

The condition is that the arch has somewhere to form. There has to be enough continuous, uncracked masonry above the opening to contain the triangle and the thrust. The ordinary working rule is a wall height above the opening of at least 0.6 times the span. Below that, take the full wall height — the arch cannot develop and it is not safe to pretend it has.

Arching also needs the masonry either side to take the thrust. An opening near the end of a wall, or with another opening close beside it, has nothing to arch into. So does a wall built with the mortar most Nigerian sites actually use for blockwork — weak, and often with unfilled perpends. When any of that is in doubt, carry the full height. It is a cheap conservatism on a member this small.

What else the lintel might be carrying

Arching disposes of the wall. It does nothing about anything else landing on the lintel, and this is where the real loads come from:

If a slab bears over the opening, the honest answer is often to stop calling it a lintel and design it as a beam — usually as part of the ring beam it is continuous with.

The example

A 2.1 m window opening in a 225 mm rendered blockwork wall of a bungalow. 1.8 m of wall above the opening up to the ring beam, and nothing else bearing on it.

Clear opening 2.10 m
Bearing 150 mm each end
Effective span L 2.10 + 0.30 = 2.40 m
Section 225 wide x 225 deep, grade 25, cover 25
Wall above 1.80 m at 3.9 kN/m2

Loading

Arching? 0.6 L = 0.6 x 2.40 = 1.44 m
wall above = 1.80 m >= 1.44 arching applies

Wall load 3.9 x 2.40 / 4 = 2.34 kN/m
Self weight 24 x 0.225 x 0.225 = 1.22 kN/m
gk = 3.55 kN/m
qk = 0
n = 1.4 x 3.55 = 4.98 kN/m

Without arching, the wall load would have been 3.9 × 1.80 = 7.02 kN/m — three times as much, and the total load more than double. That single test is the largest decision on the page.

Analysis

M = nL2/8 = 4.98 x 2.40^2 / 8 = 3.58 kNm
V = nL/2 = 4.98 x 2.40 / 2 = 5.97 kN

Simply supported, because a lintel sitting on blockwork has no reliable restraint at its ends. Even where it is cast into a ring beam, designing it simply supported and detailing the top steel for continuity is the safe combination.

Flexure

d = 225 - 25 cover - 8 link - 6 = 186 mm
K = 3.59e6 / (225 x 186^2 x 25) = 0.018 <= 0.156
z = 0.95d = 177 mm
As = 3.59e6 / (0.95 x 460 x 177) = 46 mm2
As,min = 0.13% x 225 x 225 = 66 mm2 governs

Provide 2T12 bottom = 226 mm2 PASS
Top 2T10 hangers to carry the links
The bending needs 46 mm². The smallest thing anyone can build needs 226. You cannot fix links without two bars in the top and two in the bottom to tie them to, and nobody is putting 8 mm main bars in a lintel. The section is five times stronger than it needs to be, and there is no cheaper version of it.

Shear

v = 5.98e3 / (225 x 186) = 0.14 N/mm2
vmax = 0.8 sqrt(25) = 4.0 N/mm2 PASS
vc with 226 mm2 at d = 186 = 0.62 N/mm2
v < vc + 0.4, so nominal links only

Spacing 0.75d = 140 mm governs -> T8 @ 125

The links are not resisting shear here — 0.14 against a concrete capacity of 0.62 is not close. They are there to hold the cage together, restrain the compression bars and control cracking, and their spacing is set by the 0.75d rule rather than by any force.

Deflection

L/d actual 2400 / 186 = 12.9
Basic simply supported = 20
MF large, capped at 2.0 (steel is barely stressed)
Allowable 20 x 2.0 = 40
Check 12.9 <= 40 PASS by a factor of three

Compare this with the slab, where deflection is what governs everything. A lintel is short and deep, so stiffness is never the problem. See span/depth ratios for where the modification factor comes from.

Bearing, which is the check people skip

The lintel passes everything. The block underneath it might not. The end reaction of 6 kN spread over 150 × 225 mm is trivial, but on a wide opening carrying a slab it is not:

Bearing stress = end reaction / (bearing length x wall thickness)
Compare with the blockwork's compressive strength, not the concrete's

Nigerian hollow sandcrete blocks vary enormously in strength, and the shell of a hollow block under the end of a lintel is a small area of quite weak material. Where the reaction is significant, the usual answers are to lengthen the bearing to 200 or 225 mm, to fill the blocks below the bearing with concrete, or to run the lintel through as part of a ring beam so there is no discrete bearing at all.

Rules of thumb, and where they run out

For ordinary domestic openings in a bungalow, with arching and no slab bearing over:

Clear openingUsual sectionUsual steelBearing
up to 1.2 m225 x 150 2T12 bottom, T8 links150 mm
1.2 – 2.4 m225 x 225 2T12 bottom, T8 links150 mm
2.4 – 3.0 m225 x 300 2T16 bottom, T8 links200 mm
over 3.0 mDesign it as a beam, and check the arching assumption very carefully

These are a sanity check on a calculation, not a substitute for one. Every one of them assumes arching applies and nothing else bears on the lintel. Put a floor slab over a 2.4 m opening and the table is wrong by a factor of three. That is exactly the case where a lintel does fail, and it is why the loading is worth more attention than the design.

What this leaves out

Run it yourself

Structura's lintel module does the arching test explicitly — it tells you on the sheet whether the 45° triangle applied or whether the full wall height was carried, which is the number worth checking — then flexure, shear links and deflection with a PASS or FAIL on each. Single members are free to run, as many as you like.

Open Structura in your browser

On Android, get it on Google Play; on iPhone and iPad, get it on the App Store — same account as the browser.

Next