**Volume Calculation of Concrete Staircase**

The maximum riser of the staircase should be 7 inches and a minimum of 4 inches. The minimum tread should be 10 inches and a maximum of 12 inches or 1 feet. The breadth of the stair should be 5 feet. The landing of the stair should be a minimum of 10 feet 6 inches. The spacing among two flights should be a minimum of 6 inches. The steps in the stair range from 1 to 9. The waist thickness of the slab should be a minimum of 6 inches.

**The calculation is done on the basis of the following dimensions:-**

Height of floor = 10 feet

Height of one flight = 10/2 = 5 feet

Height of Risers = 6 inches = 0.5 feet

Number of risers = Height of flight/Riser = 5/0.5 = 10 nos.

So, total steps along with landing = 10 nos.

Length of tread = 10 inches = 0.8 feet

Number of treads = (Number of risers – 1) = 10 – 1 = 9 nos.

Thickness of waist slab = 6 inches = 0.5 feet

Length of step = 5 feet

**With the use of the following formula, the volume of concrete will be determined for steps:-**

Volume of one step = 1/2 x riser x tread x length of step

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**After putting all the values, we get the following:-**

1/2 x 0.5 x 0.83 x 5 = 1.03 cubic feet

As there are 9 number of steps in a flight, so the volume of steps for first flight = 9 x 1.03 = 9.27 cubic feet

**Now, it is required to determine the concrete volume for the waist slab. Before that, you have to find out the inclined length of the waist slab by applying the following formula:-**

√(horizontal length)^{2} + (height)^{2}

But, the horizontal length & height is unknown here.

**The horizontal length will be computed as follow:-**

The horizontal length of waist slab = Tread x Number of Steps

**After putting the values, we get the following:-**

0.8333 X 9 = 7.4 feet

**Now, it is required to determine the height of the top of the landing from floor as follow:-**

Number of riser x Height of riser = 10 x 0.5 = 5 feet

So, inclined length of waist slab = √(horizontal length)^{2} + (height)^{2}

= √(7.4)^{2} + (5)^{2} = √79.96 = 8.93 feet

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Land Surveying & Architects

Land Surveying & Architects