How To Calculate The Concrete Volume for Stair
In this article we will discuss the stair concrete volume step by step. Calculate The Concrete Volume for Stair. How To Calculate The Concrete Volume for Stair |Concrete for the Riser And Tread |Concrete For Waist Slab |Concrete For Landing Slab |How To Calculate The Number of Risers |How To Calculate the Number of Treads. How To Calculate The Concrete Volume for Stairs
How To Calculate The Concrete Volume for Stairs
We calculate the concrete volume for stairs by using some given data. Given data is used just for example to better learn. Normally the Calculation for concrete is the main parts Landing Slab, Waist Slab, Riser, and tread.
Concrete For Landing Slab
Concrete For Waist Slab
Concrete For Riser
Concrete For Tread
Given Data For Emaple
Length of the landing = 1000mm = 1m
Width of the landing = 900mm = 0.900m
Thickness of the landing = 200mm = 0.200m
Number of the Landing slab = 2 (bottom and top)
Height of Landing OR Stair From Top To Bottom = H= 1300mm = 1.3m
Length of the stairs =B= 2000mm=2m
Width of the waist slab = 1000mm = 1m
The thickness of the waist slab = 150mm = 0.150m
width of the step = 1000mm = 1m
Riser Size =h = 162.50mm = 0.162m
Tread Size = b = 250mm = 0.250m
Solution
1st Step
How To Calculate The Number of Risers
Calculate the Number of Risers = Stair Height / Risers Height
Calculate the Number of Risers = 1300 / 162.50 = 8.02 = 8Numbers
How to Calculate the Number of Treads
Calculate the Number of Treads = length of the stairs / Sixe of Tread
Calculate the Number of Treads = 2000 / 250 = 8 Numbers
Now we calculate the concrete for the landing slab
Concrete For Landing Slab
Concrete for landing slab = Number of landing × Volume of the landing slab
The volume of the landing slab = length × width × thickness
The volume of the landing slab = 1000 × 900 × 200 = 0.18m³
Concrete for landing slab = 2 × 0.18 = 0.36m³
2nd Step
Concrete For Waist Slab
Concrete for the waist slab = Length × width × thickness
Now we calculate the Length of the Waist Slab using Pythagoras’ theorem
Pythagoras’ theorem W² = B² + H²
length of the stair =B= 2000 = 2m
Height of the shair= H= 1300 = 1.3m
W =?
W² = B² + H²
W² = 2² + 1.3²
W² = 5.69
Taking Both Sides Uderroot (√)
√W² = √ 5.69
W = 2.385m This is the length of the waist
Concrete for the waist slab = Length × width × thickness
Concrete for the waist slab = 2.385 × 1 × 0.150
Concrete for the waist slab = 0.357m³
Concrete for the Riser And Tread
The number of the riser and tread is the same so we use them to make a like one triangle prism. we use the formula of triangle prism for the calculation of the concrete for the riser and tread one time,
Length of the Riser and tread = 1000mm = 1m
Size of the Riser = h = 160.5m m=0.160m
Size of the tread = b = 250mm = 0.250m
Numbers of riser and tread = 8 Numbrs
The formula for volume of prism =1/2[ length × height × thickness]
Concrete volume for the riser and tread= 1/2 [1 × 0.160 × 0.250]
Concrete volume for the riser and tread= 0.02m²
Total Concrete volume for the riser and tread= Concrete volume for the riser and tread × Numbers
Total Concrete volume for the riser and tread= 0.02 × 8 =0.16m³
Total concrete volume for the stair
Total concrete volume for the stairs = Landing Slab + Waist Slab + Riser And Tread
Total concrete volume for the stairs = 0.36 + 0.357 + 0.16 = 0.877m³ Approximately says 1m³