How To Calculate Volume Of Concrete For Staircase
The staircase is one of the essential parts of a building. It helps people to access different floors in a building. In this article, I will explain how to estimate concrete volume and quantity of cement, sand, and aggregates for a staircase. Before starting the estimation, we need to know the different components of a staircase which I will use in this calculation.
Components Of Staircase
Steps:
A portion of stairway comprising the tread and riser which permits ascent and descent from one floor to another.
Tread:
The horizontal upper part of a step on which foot is placed in ascending or descending stairway.
Riser:
The vertical portion of a step provides support to the tread.
Flight:
A series of steps without any platform, break, or landing in their direction.
Landing:
A platform or resting place is provided between two flights.
Now coming to the calculation of concrete volume for the staircase.
Let’s take an example:
The height of one floor = 12 feet.
Height to be acquired by one flight = 12/2 = 6 feet.
Risers = 6″ = 0.5 feet.
Number of risers = Height of flight / Riser = 6/0.5 = 12
Tread = 10″ = 0.8 feet.
Number of treads = (Numbers of risers -1) = 12 – 1
Thickness of waist slab = 6″ = 0.5 feet
Length of step = 5 feet
Volume Of Concrete For Steps:
Volume of one step = 1/2 x riser x tread x length of step
= 1/2 x 0.5 x 0.8 x 5 = 1.03 = 1 cubic feet.
As we have 11 steps in a flight the volume of steps for the first flight = 11 x 1 = 11 cubic feet.
Concrete Volume For Waist Slab:
To calculate the volume of concrete for the waist slab we need to know the inclined length of the waist slab.
The horizontal length of waist slab = Tread x Number of steps
=0.8333′ x 11 = 9.2 feet.
The height of the top of the landing from floor = Number of riser x Height of riser
= 12 x 0.5 = 6 feet.
The volume of concrete for waist slab = Inclined length of waist slab x Width of waist slab x Thickness of waist slab
= 11′ x 5′ x 0.5′
= 27.5 cubic feet
∴ The volume of concrete for first flight = Volume of waist slab + Volume of steps
= 27.5+11 = 38.5 cubic feet
Volume Of Concrete For Landing Of Staircase:
Length of landing = 10.5 feet
Width of landing = 5 feet
The thickness of landing = 0.5 feet
∴ Concrete volume for landing = 10.5′ x 5′ x 0.5′ = 26 cubic feet.
Concrete Volume for 2nd Flight Of The Staircase:
As the 1st light and 2nd flight are the same in our staircase so the volume of concrete will be the same.
Concrete volume for 2nd flight of the staircase = 38.5 cubic feet.
∴ Total volume of concrete for staircase = Volume of first flight + Volume of second flight + Volume of landing
= 38.5 + 38.5 + 26
= 103 cubic feet.
Well, this is the wet volume of concrete. To convert wet volume into dry volume we need to multiply with 1.54
∴ Dry volume of concrete = 103 x 1.54 = 159 cubic feet.
Quantity Of Materials For Staircase:
We will calculate for 1:2:4 Concrete mix.
1. Volume of cement = 1/7 x Dry volume = 1/7 x 159 = 22.66 cubic feet.
∴ Number of Cement bags = volume of cement / Volume of cement bag = 22.66 / 1.25 = 18 No’s of bag. (The volume of one bag of cement of 50 kg = 1.25 cubic feet)
2. Volume of Sand = 2/7 x Dry volume = 2/7 x 159 = 45 cubic feet.
3. Volume of Aggregate = 4/7 x Dry volume = 4/7 x 159 = 91 cubic feet.
Note: Here, I have used cubic feet unit and 1:2:4 mix ratio, you can use cubic meter unit and any other mix ratio of concrete.
FAQ
What is the volume of the concrete for the staircase?
Calculating the volume for concrete requires using three dimensions: length times width (which is area) times the height (thickness) or L x W x H. If you are using feet as your standard unit of measurement, this formula will give you the volume of concrete in cubic feet
What is the formula for staircase?
The following is a rule-of-thumb formula for interior stairs, as specified in the Architectural Graphic Standards. Riser + Tread = 17.5 inches (445mm): 7.5 inches (191mm) for the riser height; 10 inches (254mm) for the tread depth. Riser * Tread = 75 inches (1905mm)
What is the volume of the stairs?
To find the volume of the staircase use the equation volume=length x width x height
How much concrete stairs?
Pouring concrete costs $1,000 to $5,100 for a full set of standard 2-foot-by-11-inch steps. This includes $300 to $1,000 for the cement itself, $200 to $500 for delivery, $300 to $3,500 for labor and any required building permits
How to calculate concrete m3?
To calculate the cubic meter of concrete, all you need to do is multiply the length, breadth, and depth of the area you are planning to fill. The formula is Length* Breadth* Depth=Cubic meter
How do you calculate the construction of stairs?
François Blondel, a 17th-century French architect, understood the importance of comfort in stair design. He developed a formula, known as the Blondel Formula: 2 Risers + 1 Tread = 25 inches ( 63-65 cm ). This formula is a golden rule in architecture, helping architects calculate stairs that are pleasant to walk on
