Some useful tips on volume calculation of concrete staircase


In this construction video tutorial, you will learn the process for making the design and calculation of the volume of concrete or steel for U-shape staircase.

In this construction video tutorial, a plan and section of a u-shape staircase is provided.

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

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 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:-

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

To get other information, go though the following video tutorial.

Video Courtesy : Civil Study

U-Shape Staircase