How to Calculate Staircase Concrete Quantity

In this civil engineering video tutorial, you will be familiar with some useful guidelines on working out the volume of concrete for any staircase.

Based on the following data, the calculation is carried out :-

The thickness of landing = 0.2 m or 200 mm
The size of landing = 2500 mm x 1 m or 2.5 m x 1 m
Tread of the staircase = 250 mm or 0.25 m
Riser of the staircase = 150 mm or 0.15 m
The thickness of waist slab = 125 mm or 0.125 m

To calculate the volume, the following formula is used :-

Volume of waist slab + volume of landing slab 1 + volume of landing slab 2 + [(volume of 1 tread & riser) x (number of total riser in stair case flight – 1)]

Suppose, the total riser = 11 numbers
So, tread = Total riser – 1 = 11 – 1 = 10 numbers
Take the waist slab in triangular shape.

So, the height of the triangle = riser x number = 150 x 11 = 1650 mm = 1.650 m
So, the base of the triangle = tread x number = 250 x 10 = 2500 mm = 2.5 m

Now, based on the height and base, hypotenuse of the triangle will be determined as follow :-

H = √(2.5)² + (1.65)² = 2.995 m

The volume of waist will be calculated as follow :-

Also Read: Some helpful construction tips to measure the concrete volume quantity of staircase

(Length of waste slab x thickness x width) x 2
= (2.995 x 0.125 x 1.2) x 2 = 0.898 m3 (for 2 waist slabs)

The volume of landing slab 1 & 2 will be calculated as follow :-

(Length x Width x Thickness) x 2 = (2.5 x 1.0 x 0.2) x 2 = 1.00 cum
Volume of one number tread and riser
(Riser x Tread)/2 x width of stair flight = (0.15 x 0.25)/2 x 1.2 = 0.0225 m³
Total volume of tread and riser
(Volume of 1 tread & riser) x (number of riser – 1) x number of flight

= 0.0225 x (11-1) x 2 = 0.45 m³ (as there are two flights)
So, total volume = Volume of waist slab + volume of landing slab 1 & 2 + volume of tread & riser

= 0.898 + 1.00 + 0.45 = 2.348 m³

To get more clear ideas, go through the following video tutorial.

Videdo Source: L & T - Learning Technology