# Design Of RCC Columns

|## Design Of Columns:

The safe axial load carrying capacity of different types of columns can be determined as follows:

### 1. Short Column Having Lateral Ties Or Binders:

Where **σ**cc = Permissible stress in concrete in direct compression.

Ac = (A-Asc) Net cross-sectional area of concrete excluding any finishing material and reinforcing steel.

**σ**sc = Permissible compressive stress for column bars.

Asc = Cross-sectional area of longitudinal steel.

P = Safe load carrying capacity of the column.

### 2. Short Column With Helical Reinforcement:

These columns are reinforced with closely and uniformly spaced spiral reinforcement in addition to longitudinal steel. These columns are also known as circular columns and are generally spirally reinforced. Sometimes, individual loops may be used instead of spirals. Columns having helical reinforcement shall have minimum 6 longitudinal bars.

For columns with helical reinforcement, the permissible load satisfying the requirements shall be adopted as 1.05 times the permissible load of a similar member of lateral ties.

**Note:** the ratio of the volume of helical reinforcement to the volume of the core shall not be less than

Where Ag = Gross area of the section.

Ac = Area of the core of the helically reinforced column which is measured to the outside diameter of the helix.

fck = Characteristic compressive strength of concrete.

fy = Characteristic strength of the helical reinforcement but not more than 415 N/mm2

### Pitch Of Helical Reinforcement:

Helical reinforcement should be in the regular form having the turns of the helix evenly spaced and the ends should be anchored accurately by giving one and half extra turns of the spiral bar.

The pitch of the helical turns shall not be greater than 75 mm, nor more than 1/6th of the core diameter of the core diameter of the column. nor less than 25 mm, nor less than three times the diameter of the steel bar forming the helix.

### Diameter Of The Helical Reinforcement:

The diameter of the helical reinforcement shall be not less than 1/4th the diameter of the largest longitudinal bars and in no case less than 5 mm.

### 3. Long Columns:

When the ratio of the effective length and the least lateral dimension of a column exceeds 12, the column will be considered as long column. In the design of such columns considering the factor of buckling, lower value of working stresses in steel and concrete is adopted, by multiplying the general working stresses by the reduction coefficient Cr.

So for long column,

Safe stress in concrete = Cr × Corresponding safe stress for short column and

Safe stress in steel = Cr × Corresponding safe stress for short column.

The reduction coefficient can be obtained by the following formula

For more exact calculation

Where Cr = Reduction coefficient.

lef = Effective length of the column.

b Least lateral dimension.

**r**min = Least radius of gyration.

### Permissible Stresses In RCC Columns:

**1. Permissible stresses in concrete (IS: 456-1978) :**

M15 – 4 N/mm2

M20 – 5 N/mm2

M25 – 6 N/mm2

**2. Permissible Stresses In Steel:**

For column bars compression

**σ**sc = 130 N/mm2

For helical reinforcement

**σ**sh = 100 N/mm2.

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