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Stair for hospital (6.0 m × 4.5 m lobby)

Short answer

Three-flight zig-zag stair with 30 risers of 140 mm, treads 300 mm, three flights of 10 risers each, flight width 1.5 m.

Design and draw plan of a stair for a hospital building in a lobby of size 6.0m * 4.5m. The floor to floor height is 4.2m, where you cannot keep more than 12 steps in one flight.

Hospital stairs need a wide flight for stretchers and a low riser (not more than 150 mm). A height of 4.2 m with not more than 12 steps per flight gives three flights.

Given data and assumptions

  • Stairwell (internal): 6 m x 4.5 m; floor-to-floor height H=4.2H = 4.2 m; stair for a hospital building, RCC.
  • Assumed riser R=140R = 140 mm and tread T=300T = 300 mm; flight width b=1.5b = 1.5 m. The riser is reduced to 140 mm for patients and elderly persons.

Design

  1. Number of risers =H/R=4.2/0.14=30= H/R = 4.2/0.14 = 30, adopt 30 risers; exact riser =4.2/30=140= 4.2/30 = 140 mm.
  2. Flights: at most 12 risers per flight are allowed, so the 30 risers are divided into three equal flights of 10 risers (9 treads each), arranged side by side in a zig-zag with two half-space landings (one at each end).
  3. Going of one flight =9×0.3=2.7= 9 \times 0.3 = 2.7 m.
  4. Width: three bays of 1.5 m give 3b=4.53b = 4.5 m ≤4.5\le 4.5 m.
  5. Landings: two landings, each 1.5 m x 3 m (covering two bays), at heights 1.4 m and 2.8 m.
  6. Length check: landing L1 + going + landing L2 =1.5+2.7+1.5=5.7= 1.5 + 2.7 + 1.5 = 5.7 m ≤6\le 6 m, so it fits; the spare 0.3 m is kept at the entry.
  7. Check: 2R+T=2×140+300=5802R + T = 2 \times 140 + 300 = 580 mm (within 550-650 mm); pitch =tan⁡−1(R/T)=25∘= \tan^{-1}(R/T) = 25^\circ (within 25-40 degrees).
  8. Waist slab: effective span about 4.2 m (going + one landing), so depth ≈\approx span/20 =210= 210 mm; adopt a 225 mm thick waist slab (reinforcement to be designed separately). Provide a handrail 0.9 m high, 20-25 mm nosing and a non-slip finish.

Plan and section

 far end
 +-------------------+---------+
 |    LANDING L1     | arrival |
 |    (+1.40 m)      | (upper  |
 |                   |  floor) |
 +---------+---------+---------+
 |   F1    |   F2    |   F3    |
 |   ^     |   v     |   ^     |
 |   ^     |   v     |   ^     |
 +---------+---------+---------+
 |  start  |    LANDING L2     |
 |         |    (+2.80 m)      |
 +---------+-------------------+
 near end   (arrows point up the stair)
 SECTION (not to scale)
                                  +---- upper floor +4.20
                            _____|  flight 3
                      _____|  landing L2 +2.80
                _____|  flight 2
          _____|  landing L1 +1.40
     ____|  flight 1
 ___|
 ground floor +0.00

Summary

ItemAdopted
Riser140 mm (30 nos.)
Tread300 mm
Flights3 flights x 10 risers
Width of flight1.5 m
Waist slab225 mm

Answer: 30 risers of 140 mm and treads of 300 mm; 3 flights x 10 risers; flight width 1.5 m.

✓ Answer checked by Claude Opus 5.5 (high effort)

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