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Staircases

Intermediate Reinforced Concrete Design Reviewed 24 Oct 2026 2 min read

A staircase is a sloping slab, the waist, with steps formed on top, spanning between floors, landings or beams. The commonest form in buildings is the dog-legged stair: two flights with a landing between them. Others include open-well stairs, single-flight stairs between beams, cantilever steps from a wall or a central spine, and helical stairs, which need a full three-dimensional analysis.

Structurally, most stairs are designed as one-way slabs spanning along the slope or across it. When the waist spans longitudinally, the load is worked out per square metre of horizontal plan: the self-weight of the inclined waist is increased by the ratio of its sloping length to its horizontal length, and the weight of the triangular steps is added at half the riser height times the unit weight. Finishes and the imposed load from IS 875 (Part 2) complete the load.

Diagram: Indiacon original, not to scale.

IS 456 gives rules for the effective span of stairs, including how much of a landing may be counted when the landing spans in the other direction, and for how load on areas common to two crossing systems may be shared. The depth is chosen from span-to-depth limits and checked in flexure, shear and deflection like any slab. Main bars run along the span at the bottom of the waist; distribution bars run across.

Detailing at the kink where the waist meets a landing is critical. Bottom bars that simply follow the re-entrant corner try to straighten under tension and can burst the cover, so they are crossed and anchored into the compression zone of the other member. Stairs are also escape routes, so fire cover and robust supports matter as much as strength.

Tip

Work all loads per square metre of horizontal plan before multiplying by the horizontal span.

Key formulas
  • Waist self-weight per m² of plan = γ t √(R² + T²) / T
  • Steps per m² of plan = γ R / 2
  • Simply supported per metre width: M_u = w_u l² / 8
Common mistake

Adding step weight at the full riser height instead of half the riser.

Solved example

Problem. A waist slab stair spans 3.5 m horizontally. Riser R = 150 mm, tread T = 300 mm, waist t = 150 mm, concrete 25 kN/m³, finishes 1.0 kN/m², imposed load taken as 3.0 kN/m² for illustration. Find the factored moment per metre width.

  1. Waist: 25 × 0.15 × √(0.15² + 0.30²) / 0.30 = 3.75 × 0.3354 / 0.30 = 4.19 kN/m².
  2. Steps: 25 × 0.15 / 2 = 1.875 kN/m².
  3. Total service load = 4.19 + 1.875 + 1.0 + 3.0 = 10.07 kN/m²; factored w_u = 1.5 × 10.07 = 15.10 kN/m².
  4. M_u = 15.10 × 3.5² / 8 = 23.1 kNm per metre width.

Answer. M_u ≈ 23.1 kNm per metre width

Quick quiz

1Why is waist self-weight increased when loads are taken on plan?

The slab is inclined, so its true length per metre of plan is longer.

2Where do the main bars of a longitudinally spanning waist go?

At the bottom, along the span.

3What goes wrong if bottom bars follow a re-entrant corner?

They try to straighten under tension and can spall the cover.

Code note
  • IS 456 (India): Plain and reinforced concrete: general rules for materials, durability, design and construction.
  • IS 875 (Parts 1 to 5) (India): Design loads other than earthquake: dead, imposed, wind, snow and load combinations.

Clauses and documents to read

  • IS 456:2000, cl. 33: stairs (effective span, distribution of loading, depth of section)

Cited by number and clause only. We do not reproduce clause text, tables or figures (BIS Act 2016, s.10(5) and s.11). Check the current edition and amendments before use.

References and further reading

Standard texts, listed in no order of merit. We do not copy text, figures, tables or solved problems from any book; our explanations and examples are original.

  • S. Unnikrishna Pillai, Devdas Menon, Reinforced Concrete Design, McGraw Hill Education (India), latest edition.
  • J. K. Wight, J. G. MacGregor, Reinforced Concrete: Mechanics and Design, Pearson, latest edition.
  • A. H. Nilson, D. Darwin, C. W. Dolan, Design of Concrete Structures, McGraw Hill, latest edition.
  • R. Park, T. Paulay, Reinforced Concrete Structures, Wiley, 1975.

Free and official sources

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