How to Calculate Cutting Length of Circular Ties (Links)

How to Calculate Cutting Length of Circular Ties (Links) in Columns

In concrete columns, circular ties are also called as links are used to hold the main steel bars in place.

Calculating the cutting length of these ties is important for accurate material estimation and structural integrity.

This following article will show you how to do it step by step with an example.

From on the image

Column diameter (D) = 600 mm – Outer diameter of the column.

Concrete cover = 40 mm (each side) – Clear cover to reinforcement

Diameter of link (d) = 10 mm – Size of the tie bar

Hook length = 9d

135° bend loss = 3d

Standard Bend Loss For Reinforcement

For 45° bend = 1 x d

For 90° bend = 2 x d

For 135° Bend = 3 x d

For 180° bend = 4 x d

Formula For Cutting Length

Cutting Length = Circumference of link + Hook Length – Bend Loss

Calculate Diameter of the Link (D)

Diameter of link = Column diameter – concrete cover in both side

So, Dia of Link (D) = 600 – 40 -40 = 520 mm

Calculate Circumference of the Link

Circumference of the Link = π x D (π = 3.14)

So, 3.14 x 520 = 1632.8mm

Calculate the Hook Length

Hook length = 9d (d= 10mm)

so, 9 x 10 = 90 mm

Total 2 hooks per tie. so, 90 x 2 = 180 mm

Calculate the Bend Loss

Circular ties typically have two 135° bends, each with a length of 3d.

Bend Loss = 3d = 3 x 10 =30 mm

Total 2 bends = 2 *30= 60 mm

So Cutting Length

Cutting Length = Circumference of link + Hook Length – Bend Loss

Cutting Length for Circular Link or Ties = 1632.80 + 180- 60 = 1752.8mm or 1.752 m

How to Calculate Cutting Length of Rectangular Column Ties (Stirrups)

Types of Stirrups Used in Reinforcement