Step-by-Step Guide Simple Formula To Calculate Concrete For Staircases

Concrete staircases are a critical component in various construction projects, providing both functionality and aesthetic value. Calculating the volume of concrete required for staircases is essential to ensure accurate material estimation and avoid wastage. This comprehensive guide will walk you through the detailed steps required to calculate the volume of concrete for a staircase.

Understanding the Components of a Staircase

Before diving into calculations, it is crucial to understand the basic components of a staircase. A typical staircase consists of the following elements:

• Treads: The horizontal parts where the foot is placed.
• Risers: The vertical components between each tread.
• Stringer or waist slab: The inclined supports on either side of the staircase.
• Landing: A flat area at the top or bottom of the staircase or between flights.

Metric System

• No. of steps = Height/Riser ⇒ 3000/150 ⇒ 20nos
• Horizontal length = steps x Tread ⇒ 20 x 250 ⇒ 5000mm

• Waist Length = √(L² + H²) ⇒ √(5000²+ 3000²) ⇒ 5830.95mm

or,

Hypotenuse(H’) = √(Riser² + Tread²) ⇒ √(150² + 250²) ⇒ 291.54mm

Waist Length = Hypotenuse x steps ⇒ 291.54 x 20 ⇒ 5830.95mm or 5.830m

• The volume of waste = L x B x T ⇒ 5.83 x 1.20 x 0.15 ⇒ 1.0494m³

The volume of 1 step = 1/2 x B x H x Breadth

• The volume of 1 step = 1/2 x B x H x Breadth ⇒ 1/2 x 0.250 x 0.150 x 1.2 ⇒ 0.0225m³

Then, The volume of 20 steps ⇒ 20 x 0.0225 ⇒ 0.45m³

• The total volume of the staircase = Waist volume + 20 steps volume ⇒ 1.0494 +0.45 ⇒ 1.5m³

Imperial System

• Waist & Landing slab = 6”
• Tread = 12″
• Riser = 6″
• Width of Stairs = 4.5 ft

Length of waist slab = √(16)²+ (8)² = 17.89 ft

Volume of waist slab = 17.89 x 0.5 x 4.5 = 40.25 Cft

Volume of Landing = 5 x 4.5 x 0.50 = 11.25 Cft

Volume of Steps = 16 x (1/2 x 1.0 x 0.50) x 4.50 = 18 Cft

Total Volume = 40.25 +11.25 + 18 = 69.50 Cft