HOW TO CALCULATE CUTTING LENGTH OF DIAMOND STIRRUP

The cutting length of diamond stirrup is done by using simple and easy formula. The stirrups or commonly called ties in the column are used in a column to avoid the lateral deformation of the reinforcement when we are pouring the concrete into columns.

The stirrups or Ties are also used in the column to hold the longitudinal reinforcement in its position when the column is under construction. The longitudinal bars in the column may change their position or alignment when we pour concrete and use a vibrator.

Let’s solve this example for your better understanding.

Cutting Length of Diamond stirrups formula calculation

EXAMPLE:

Suppose we are using a Diamond stirrup in a column and column having a Length 550 mm and having a Width 450 mm (X-section). The clear cover in the column will be 40 mm and the stirrup bar is going to use is 10 mm.

1. Calculate the cutting length of the diamond stirrup?

2. Also calculate its weight?

Given Data:

Length of column = 550 mm.

Width of column = 450 mm.

Clear cover = 40 mm.

Stirrup bar diameter = 10 mm.

length of the stirrup = ?

Weight of the stirrup = ?

Solution:

The calculation of the diamond stirrup is to be done in 2 steps. In the first step, we calculate the hypotenuse length of the right angle by using Pythagoras theorem. In the second step, we put these values in our formula to get the final result.

Calculate the length of Hypotenuses:

Hypotenuses = √ (Base length) ^2 + (Perpendicular length)^2

Base length = {Length – 2(Clear cover)}/2

= {550 – 2(40)}/2  = 470/2 = 235 mm  Ans…

Perpendicular length = {Width – 2(Clear cover)}/2

{450 – 2(40)}/2  = 370/2 = 185 mm Ans…

So putting the value of base and perpendicular in our Pythagoras theorem we can calculate hypotenuses.

Hypotenuses = √(235)^2 + (185)^2

= √ 55225 + 34225

= √89450

= 299 mm Ans…

Cutting length of Diamond Stirrup:

Cutting length = (4 x H) + 2(10d) – 3(2d) – 2(3d)

#Where

H = Length of the Hypotenuse which we calculate in our first step.

10d = Length of the Hook and “d” is a diameter of the bar.

2d = 90* bands

3d = 135* bands

By putting the given data values and hypotenuse value (which we calculated in our first step) in our formula we get the length of the our stirrup.

Length = (4 x 299) + 2(10 x 10) – 3(2 x 10) – 2(3 x 10)

= (1196) +(200) – (60) – (60)

= (1396) – (120)

= 1276 mm or 1.276 m Ans…

Weight of the Stirrup:

To calculate the weight of the stirrup we use common formula.

Weight = (D^2/162.2) X Length

= (10 x 10)/162.2 X 1.276

= 0.616522 x 1.276

= 0.7866 kg or 786.68 gram Ans…

So the length of the diamond stirrup in the column will be 1.276 meters including all two hook’s and the weight of the stirrup will be 786.68 grams if you are using a 10 mm bar.

Note: The length of the bar is not 100% accurate as compare to the actual length of the diamond stirrup at side but it is approx ±.

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