# Column Transverse Reinforcement Sample Calculation

Column sizes 80/30

fck = 30 mpa

fywk = 420 mpa

concrete cover = 5 cm.

net concrete cover = 3.5 cm.

### Hugging zone stirrup calculation

Ac = 30 * 80 = 2400 cm2

Ack = (80-2 * 3.5) * (30-2 * 3.5) = 1679 cm2 (Core concrete area within the confinement reinforcement)

bk = 80-2 * (5-0,8-0,5) = 72.6 cm

number of stirrups in critical direction = 5 (including crotch)

Ash / s ≥ 0.3 * bk * [(Ac / Ack) - 1] * (fck / fywk)

Ash / s ≥0.3*72.6*((2400/1679)-1)*(30/420)=0,667 cm2

Required range when using 10 stirrups

Required range (s) = 5 * 0.785 / 0.663 = 5.92 cm. → 6 cm

###### Regulation checks:

s>5 cm

s<15 cm

s<bmin/3 = 30/3 =10 cm

s <6 fi = 6 * 1.4 = 8.4 cm

selected = 6 cm

### Middle zone stirrup calculation

Asw/s > 0.3 bw * fctd/fwd

Asw/s = 0.3 * 130.322 * 80 / 372341,81 =0.084 cm2/cm

s= 5*0.78/0.084 =46cm

###### Regulation checks:

s<=20 cm

s<bmin/2 = 30/3=10 cm

10 cm selected

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