**Quantity Calculation Of Round Staircase**

This is a very useful article for **Civil Engineering** students. In this article, you will learn how to design and work out the quantity of semi round stairs.

**The calculation is done based on the following dimensions:-**

Linear Length of Stair = ?

Inclined Length of Stair = ?

Waist of stair = 4.5 feet

Thickness of stair waist = 0.41 feet

Riser of stair = 6’’= 0.5 feet

Tread of stair = 1’’-3’’ -1’ (One side & opposite side)

No. of steps = Height / One Riser = 10 feet / 0.5 feet = 20 numbers

**Now, it is required to determine the linear length as follow:-**

2 (π x R) 0.50 = 2 (3.142 x 9.5) 0.50 = 29.84 feet

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**Then it is required to determine the inclined length as follow:-**

√(Base)^{2} + (Height)^{2}

√(29.84)^{2} + (10)^{2}

√(890.42) + (100) = √990.42 = 31.47 feet

So, inclined length = 31.47 feet

**Then, you have to find out the waist volume by using the following formula:-**

Waist Volume = Length x width x Thickness = 31.47 x 4.5 x 0.41 = 58.062 cft

Steps volume = ?

Width of tread = 1’- 3’’- 1’ = 1.25 + 1 = 2.25’/2 = 1.125’

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**Now, it is required to determine one step volume with the following formula:-**

One step volume = L x W x H / 2 or Length x Width x Height / 2 (as the steps are in triangular shape)

= 4.5 x 1.125 x 0.5 / 2 = 1.26 cft

So, the volume of one step = 1.26

As the numbers of steps are 20

So, total steps = 20 x 1.26 = 25.2 cft

Total Volume = Volume of waist + Volume of total steps

= 58.062 + 25.2 = 83.26 cft

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Land Surveying & Architects

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