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How to use the flat slab calculator

A beamless slab on a grid of columns: what each input means, how to read the strips and the punching at each column, and why punching sets the depth.

1. What the calculator does

The flat slab calculator designs a flat slab on a regular grid of columns, without beams. It analyses the slab by the equivalent frame method, with the imposed load on all, odd, even and adjacent spans, splits the moments into column strips and middle strips, designs the top and bottom steel, checks punching at interior, edge and corner columns (and designs the links), and checks deflection by span/depth.

The code routes are SANS 10100-1, BS 8110-1, Eurocode 2 (EN 1992-1-1) and SANS 51992-1-1 (SA Eurocode, 2023 draft annex). The badge names the clauses: SANS 10100-1 4.6.5, BS 8110-1 3.7, EN 1992-1-1 Annex I, 6.4 and 7.4.2, loads to SANS 10160-1.

Flat slab calculator header with the PASS badge
The header: PASS, governed by punching at an interior column, with the clauses in the badge.

2. The inputs, group by group

InputWhat it meansTypical value
GridDesign code; the spans along x and along y as comma lists; the slab depth.6, 6, 6 each way; h 275
ColumnsColumn size, and the storey height above and below (0 = none); the columns take part in the frame.450 × 450; 3 m / 3 m
LoadsCharacteristic extra dead load (on top of the self-weight) and imposed load.1.5 and 2.5 kPa
MaterialsConcrete fcu, steel fy, cover and exposure.30 MPa, 450 MPa, 40 mm, moderate
Flat slab inputs: grid, columns, loads and materials
The inputs. Spans are comma lists, so unequal bays are one line each way.

3. How to read the result

The plan shows the grid with the column strips shaded and each column coloured by how much of its punching capacity it uses. The design result gives the top and bottom steel in the column strips each way, the column loads (interior, edge, corner), whether each column type needs punching links, and the span/depth check.

Flat slab plan with the column strips and the columns coloured by punching use
Grid, strips and columns: 3 × 3 panels, h 275 mm, column strips shaded along x, columns coloured by punching use.
Design result card for the flat slab
Design result: top steel Y16 @ 300 / Y16 @ 275, bottom Y12 @ 300 / Y10 @ 200, column loads 524 / 277 / 126 kN, punching links at every column type, span/d 26.2 / 45.9.

The badge names the governing check; here punching at an interior column, which passes with shear links. In a flat slab punching almost always governs: the slab depth is set by the columns, not by bending. If you would rather have no links, deepen the slab, enlarge the column or add a drop panel (in the punching shear calculator). Anything the engine could not run shows as NOT CHECKED.

Design checks summary for the flat slab
Design checks: SANS 10100-1 · 25 pass.

4. Calc sheet and schedule

The result (pass / fail and utilisation) stays free for everyone. Every check with its clause, the calc sheet and the bending schedule are open to signed-in users. Sign in free: 3 designs a month (one calculator, open for 24 hours). Unlimited with a calculator pack.

The bending schedule card reads: “Sign in (free): 3 schedules a month. CSV with a paid plan.” On the project board the slab sits on the setting-out plan with its strips and columns.

Bending schedule card for the flat slab
The bending schedule card.

5. A 2-minute walk-through

  1. Open the calculator: a 3 × 3 bay grid of 6 m spans, 275 mm slab, 450 × 450 columns, 1.5 kPa extra dead and 2.5 kPa imposed.
  2. Read the badge: PASS, punching at an interior column with links.
  3. Make the slab 300 mm and see whether the interior links go away.
  4. Change the spans along x to 6, 7.5, 6 and see the end-span steel and the span/depth change.
  5. Sign in for the calc sheet and schedule, or add the slab to a project.

6. Common mistakes

  • Self-weight in the extra dead load. The engine adds the self-weight from h; type the finishes, ceiling and services only.
  • Edge and corner columns forgotten. They have less perimeter and a larger moment transfer; read their punching result too.
  • Very unequal spans. The equivalent frame method works best on a regular grid; for very irregular layouts check with a finite element model.
  • Openings near columns. Check them in the punching shear calculator; they cut the perimeter.

7. Where it fits

The column loads in the result go to the RC column calculator and down to the footings. For long spans or thin slabs, compare with the post-tensioned slab calculator.

8. Learn more

Try it nowThe calculator opens with the walk-through inputs above. The result is free; sign in for the checks, calc sheet and schedule.
Open the flat slab calculator

A guide to using the calculator, not a design. Check every value against the current code and your own project, and have the design checked and signed by a registered professional engineer.

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