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How to calculate cutting lenght of stirrup

How does one calculate bend length and hook length of steel bars in order to make BBS?

Length of Hook’s in Stirrups:

We generally consider length of hook = 10 D (for bars having diameter greater than or equals to 8mm)

Where D → Diameter of stirrup

Is code recommends, Minimum hook length = 75 mm

fig:- Hook in stirrup

Bend Length

For 45 degree bend, length of reinforced bar increase by 1d

For 90 degree bend, length reinforced bar increase by 2d

For 135 degree bend, length reinforced bar increase by 3d

Example:-
Q:- Calculate the cutting length of the stirrups given in fig. Clear cover of beam is 25 mm


fig : Cross section of beam[/caption]

Ans:-

Given data:

Clear cover = 25 mm

Depth of beam = 400 mm

Width of beam = 230 mm

Diameter of stirrup =8 mm

Cutting length of stirrup = 2a+2b + (2 x Hook length) - Bend deduction

Where,

a= Width of beam - (2 x clear cover) - ( 2 x Half of diameter of bar)

b= Depth of beam - (2 x clear cover) - ( 2 x Half of diameter of bar)


Therefore,

a= 230 - (2 x 25) - (2 x 4) = 172 mm

b= 400 - (2 x 25) - (2 x 4) = 342 mm

Length of hook (Development length) = 10 d = 10x8 = 80 mm

Bend deductions:

90 degree bent --> 3 no's

For 90 degree bend, length reinforced bar increase by 2 d

i.e., Bend length = 3 x (2x8) = 3x16 = 48 mm

135 degree bent --> 2 no's

For 135 degree bend, length reinforced bar increase by 3d

i.e., Bend length = 2 x (3x8) = 2 x 24 = 48 mm

∴ Cutting length of stirrup = (2x172) + (2x342) + (2x80) - (48+48) = 1428 - 96 = 1092 mm

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