Staircase

Step count from floor height, then concrete

Floor-to-floor heightTarget riserTreadWidthNo. of such flightsnos

Concrete Volume

m³

Number of steps: 0 risers · 1 treads · exact riser 0 mm
Flights counted: 1 nos (0 risers in all)
Waist slab: 0 m³
Steps: 0 m³
Stair length (slope, per flight): 0 m
Comfort (2R + T): 0 mm · steep
Cement: 0 bags
Sand: 0 m³
Aggregate: 0 m³

Mark

Quantitynos

How we got this

1
Number of steps from the floor height
Risers n = Height ÷ Target riser (round) ; Exact riser = Height ÷ n
= 0 ÷ 0 = 0 → 0 risers of exactly 0 mm
= 0 risers · 1 treads (the upper floor slab is the last step) — counting the starting floor too gives 1 step surfaces, the "height ÷ riser + 1" way of saying the same stair
2
Going and rise of the flight
Going = (n − 1) × Tread ; Rise = floor-to-floor height
= (0 − 1) × 0
= Going 0 m · Rise 0 m
3
Sloping length of the waist slab
L = √(Going² + Rise²)
= √(0² + 0²)
= 0 m
4
Waist slab concrete
V₁ = L × Width × 0.15 m × No. of such flights
= 0 × 0 × 0.15 × 1
= 0 m³
5
Step (triangle) concrete
V₂ = ½ × Tread × Exact riser × Width × n × No. of such flights
= 0.5 × 0 × 0 × 0 × 0 × 1
= 0 m³
6
Total concrete
V = V₁ + V₂
= 0 + 0
= 0 m³
7
Dry volume of concrete
Dry volume = Wet volume × 1.54
= 0 × 1.54
= 0 m³
Dry ingredients bulk up; they lose ~54% volume once water is added and the mix is compacted.
8
Cement (M20 = 1 : 1.5 : 3, sum of ratio 5.5)
Cement volume = Dry volume × 1 / 5.5 ; bags = volume / 0.0347
= 0 × 1/5.5 = 0 m³ ÷ 0.0347
= 0 bags (0 kg)
One 50 kg bag of cement occupies 0.0347 m³ (density 1440 kg/m³).
9
Sand (fine aggregate)
Sand = Dry volume × 1.5 / 5.5
= 0 × 1.5/5.5
= 0 m³

The theory behind it

Method used: Floor-to-floor height divided by a target riser fixes the step count; waist slab plus triangular steps; IS 456 rise/tread limits

Enter the floor-to-floor height and a target riser — the number of steps is fixed by geometry, not guesswork: Steps = Height ÷ Riser, rounded to a whole number, and the exact riser is then Height ÷ Steps. A flight is a sloping waist slab carrying triangular steps. Concrete = sloping slab (going² + rise² by Pythagoras, × width × waist thickness) plus the steps, each a triangle of area ½ × tread × riser run across the width.

Assumptions used

•Risers = floor-to-floor height ÷ target riser, rounded; exact riser = height ÷ risers.
•Treads = risers − 1 — the upper floor slab is the final step. Counting the starting floor too gives 'height ÷ riser + 1' surfaces: the same stair, counted one step higher.
•Waist slab thickness 150 mm.
•Comfort rule: 2 × Riser + Tread ≈ 600–640 mm.
•Riser 150–175 mm and tread 250–300 mm for residential flights; NBC 2016 caps risers at 200 mm.
•Landing concrete is not included — add it as a separate slab.
•M20 grade, nominal mix 1 : 1.5 : 3 (cement : sand : aggregate).
•Dry-volume factor 1.54 on wet concrete volume.
•Cement bag = 50 kg = 0.0347 m³ (bulk density 1440 kg/m³).

Codes & references

IS 456:2000, Cl. 33 — Stairs
NBC 2016, Part 4 — Stair geometry and headroom

History

Estimates for guidance only. Confirm quantities with your site engineer.