Design of Continuous Beam | RCC Structures
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.
Three moment equation or Clapeyron’s equation
Four Methods for Analysis of a beam are as follows:
- Three moment equation
- Moment distribution method
- Kani’s method
- Slope deflection method
Clapeyron’s Three moment Equation
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)
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.