How To Calculate the Quantity Of Concrete Volume Of Staircase

How To Calculate the Quantity Of Concrete Volume Of Staircase

Calculating the quantity of concrete required for a staircase involves determining the volume of concrete needed for each component of the staircase and then summing these volumes. Here’s a step-by-step guide to help you through the process. How To Calculate the Quantity Of Concrete Volume Of Staircase.

1. Understand the Components of a Staircase

A staircase typically comprises several components:

1. Treads: The horizontal part where you step.
2. Risers: The vertical part between each tread.
3. Landing: The flat platform between flights of stairs or at the top and bottom of the staircase.
4. Stringers: The inclined sides that support the treads and risers.

2. Gather Dimensions

You’ll need the following dimensions:

1. Tread Width (W): The horizontal depth of each step.
2. Tread Thickness (T): The thickness of the concrete tread.
3. Riser Height (H): The vertical height between each tread.
4. Stringer Dimensions: If applicable, the thickness and height of the concrete stringers.
5. Landing Dimensions: The length, width, and thickness of the landing if it is included in the concrete work.

Different Components of the Staircase.

The staircase comprises of 2 parts – Step and Landing.

(1) – Step

The step stands for the triangular-shaped segment of the staircase that stands on an inclined slab (Waist slab). There are 2 sections in a step i.e. Riser & Tread.

(2) – Riser 

Riser refers to vertical section of the steps. Generally, the height of the riser remains 6 inches.

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(3) – Tread

It belongs to the horizontal section of the step. The width of the tread is generally remains 10 inches.

(4) – Landing

The landing is the horizontal slab positioned between the flights of the staircase. Its main function is to redirect the movement of the stairs.

(5) – Flight

The staircase typically consists of two flights, with one positioned below the landing and the other above it.

The flight under the landing is known as 1st flight and flight over the landing is known Second flight.

Below is the detailed procedure for calculating the exact amount of concrete required for any staircase:

1. The steps and the waist slab of the initial flight
2. Steps and the waist slab of Second flight
3. Landing

Concrete volume for the First flight of the staircase.

The calculation is performed using the provided data:-

1. Riser = Six inches
2. Tread = Ten inches
3. Length of the step = Four feet
4. Number of the steps = Nine
5. The thickness of the waist slab = Six inches

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Concrete volume for waist slab

In order to determine the specific volume of the waist slab, it is necessary to ascertain the inclined length of the waist slab.

The architectural plan allows for the measurement of the inclined length of the waist slab.

The horizontal length of the waist slab is,

= number of the steps x tread

= Nine x 10”

= 7′-6”

The calculation for determining the height of the landing top from the floor should be carried out as follows :-

= number of the riser x height of the riser

= ten x 6″ [number of the riser = number of the steps = One]

= Five feet.

Therefore, the inclined length of waist slab is,

=√{(horizontal length)Two + (Height)2}

= (7’-6”)Two + (5’)Two

= 9’ (round up)

Therefore, the concrete volume for waist slab is,

= The product of the length of the inclined waist slab x width of the waist slab (width of the step) x thickness of waist slab

= 9’ x 4’ x 6”

= 18 cubic feet.

The Concrete volume for steps

Given that the steps are in a triangular shape, the volume of each step must be determined using the following calculation :-

= ½ x tread x riser x step length

= ½ x 10” x Six” x Four

= 0.84 cubic feet

As there are Nine numbers of the steps in a flight, the concrete volume for steps of the 1st flight should be as follow :-

= Nine x 0.84

= 7.56 cubic feet

Hence, the overall volume of concrete required for the initial flight of the staircase must be determined :-

= Waist slab Of concrete + steps concrete

= Eighteen + 7.56

= 25.56 cubic feet

Concrete volume for Second flight of staircase

Suppose, First flight and Second flight are identical, therefore a concrete volume is also same i.e. 25.56 cubic feet

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Now, determine the concrete volume for the landing.

The measurement of the concrete volume for the stair landing is determined using the following data.

Length of the landing = 8’-6”

Width of the landing = 4’-6”

The thickness of the landing = 6”

Hence, the specific measurement for the landing area should be as stated below:-

= 8’-6” x 4’-6” x 6”

= 19.12 cubic feet

Therefore, the total concrete volume for staircase is,

= First flight concrete + Second flight concrete + landing concrete

= 25.56 + 25.56 + 19.12

= 70.24 cubic feet.

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