How to figure out the length of the cut on a circular stirrup

Determine the circular stirrup’s cutting length using the drawing below.

Give Data

D = 450mm for the circular column’s diameter

40mm for clear covers.

The stirrup’s diameter is 8 mm.

The cutting length of the circular stirrup 

= [2r + (2no) hook length – (2no) hook bend]

= [2r + [2nos. 10d] – [2nos. 2d

ere,

The stirrup diameter is given by d.

R is the diameter of the circular stirrup’s centerline (as depicted in the drawing).

First, using the provided data, we will calculate the r value.

r is equal to [(1/2 column diameter) – clear cover – (1/2 stirrup bar diameter)]

The formula for r is [(1/2 450mm) – 40mm – (1/2 8mm)]

225mm – 40mm – 4mm = r

r = 181mm.

The cutting length of the circular stirrup

equals [(2 181mm) + (2nos 10d) – (2nos. 2d]

= [(2 3.142 181 mm) + (2 nos. 10 mm) – (2 nos. 2 mm)]

= [1137.4 mm plus 160 mm minus 32 mm]

= 1265.404mm

= 1.265m.

Different Shapes of Stirrups

• Rectangular Stirrups
•  Square Stirrups
•  Circular Stirrups – Also read: Calculator for circular stirrups 
• Triangular Stirrups
•  Spiral Stirrups
• Diamond Stirrups

Types Of Stirrups Used In Beam And Columns

•  Single Legged Stirrups(Open stirrup)
• Two-legged or Double Legged Stirrups (Closed Stirrup)
•  Four-legged Stirrups (Closed Stirrup)
• 6-legged Stirrups (Closed Stirrup)

Steps involved in finding the cutting length of stirrups

1. Look at the size of the column or beam from drawings.
2. Adopt Dia of the bar (generally 8mm Dia is used for stirrups.
3. Deduct the concrete cover or clear cover.
4. Find the total outer length of the stirrup after deducting concrete cover.
5. Add the length of the hook to the length of the stirrup.
6. Deduct the length of bends.
7. Use the below formula to find the total cutting length of stirrups.

Cutting Length of Stirrups = Perimeter of Shape + Total hook length – Total Bend Length

PERIMETER OF SHAPE

(Length + Breadth)2 = the rectangle’s perimeter
A square perimeter equals four times the length of its sides.
Circle’s circumference, also known as its perimeter, is equal to its diameter times its radius, or r.

TOTAL HOOK LENGTH

1 the Hook length = 9d or 75mm

TOTAL BEND LENGTH

45° Bend length equals 1d
90° Bend length = 2d
135° degrees Bend length is equal to 3d,
where d is the bar’s diameter