Design of Continuous Beam | RCC Structure

Definition

The beam that rests on more than two supports. The beam that rests over multiple columns. Continuous beams increase the structural rigidity of a structure. They offer alternate load path incase of a failure of a section in the beam.

Continuous beams are commonly used in buildings in seismic risk zone.

Continuous beam

Three moment equation or Clapeyron’s equation 

Continuous Beam | Three moment equation

Four Methods for Analysis of a beam are as follows:

1. Three moment equation
2. Moment distribution method
3. Kani’s method
4. Slope deflection method

Clapeyron’s Three moment Equation 

Clapeyron's Three moment equation | Continuous beam

Clapeyron's three moment equation for continuous beam

Where,

A = Area of bending moment diagram

X = CG of the bending moment diagram

E = Young’s modulus

S = Shrinking of supports

Therefore, S1=0, S2=0 (If there is no shrinking of supports)

Case 1

E1 = E2 =E (same material)

I1 = I2 =I (depth of the beam)

E1I1 = E2I2 = EI

MAL1 + 2MB[L1+L2] + McL2 + (A1X1/L1)+(A2X2/l2)=0

MAL1 + 2MB[L1+L2] + McL2 = -6 (A1X1/L1)+(A2X2/l2)

We will further discuss “Continuous Beams” with the help of numerical.

Source: Civilprojectsonline.com

Posted in: CONCRETE