Let us now calculate the volume of concrete in a staircase flight & landing as shown in the below drawings.
Let us calculate the concrete volume of the landing slab, steps, & waist slab separately for easy understanding.
1. Landing slab:
Given data :
Landing thickness = 200mm.= 0.2m.
Landing width = 0.9m.
Landing length = 1.0m.
The concrete volume of the landing slab
= [2nos.× length × width × thickness]
= [2nos. × 1m. × 0.9m. × 0.2m.]
= 0.36 cum.
2. Steps:
Given data:
No. of steps = 8 nos.
Width of the step = 1m. {length ( l ) }
Riser = 166.66mm. = 0.1667m. { height ( h ) }
Tread = 250mm. = 0.25m. { base ( b ) }
The individual step forms a triangular prism as shown in the above drawing.
The formula to calculate the volume of a triangular prism is [1/2 × b × h × l]
The concrete volume of the total staircase steps
= 8nos.× [ 1/2 × base × height × length ]
= 8nos. × [ 1/2 × 0.25m. × 0.1667m. × 1m.]
= 8nos. × 0.0208
= 0.1667 cum.
2. The waist slab:
Given data:
The thickness of the waist slab = 150mm = 0.15m.
Width of the waist slab = 1m.
Let us draw a triangle ABC, joining the two ends of the waist slab as shown above.
By Pythagoras' theorem,
AC2=AB2 + BC2
From the staircase drawing,
The horizontal distance AB = 2m, &
The vertical distance BC
= [landing height + bottom landing thickness.]
= [1.3m + 0.2m.] = 1.5m.
AC2 = 22 + 1.52
AC = √22 + 1.52
AC = √6.25
Length AC = 2.5m.
Now, the concrete volume of the waist slab
= [length × width × thickness.]
= [2.5m × 1m. × 0.15m.]
= 0.375cum.
The concrete volume of the staircase
= [The volume of landing + the volume of steps + the volume of waist slab.]
= [0.36 cum. + 0.1667 cum + 0.375 cum.]
= 0.902 cum.
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❤ How to calculate the number of risers & treads in a staircase?
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