How the conjugate beam method is used to find the deflection?

The conjugate beam method is the method used to determine the slope and deflection of the beam in which the imaginary conjugate beam is constructed from the real beam and the shear forces and bending moments of the conjugate beam are equal to the slope and deflection of the real beam.

Why conjugate beam method is used?

The conjugate-beam method is an engineering method to derive the slope and displacement of a beam. A conjugate beam is defined as an imaginary beam with the same dimensions (length) as that of the original beam but load at any point on the conjugate beam is equal to the bending moment at that point divided by EI.

What is the use of conjugate beam method over other methods?

Conjugate beam method has the advantage over the other analytical methods for slope and deflection calculation as it can be easily applied for structures with neutral equilibrium also.

What is conjugate beam for the following real beam?

Conjugate Beam Method MCQ Question 1 Detailed Solution

Real Beam Conjugate beam
Slope at any point in the real beam Shear force at that point or section in Conjugate beam
Deflection at any point in the real beam Bending moment at that point or section in Conjugate beam

Which is true about conjugate beam method?

The length of a conjugate beam is always equal to the length of the actual beam. The load on the conjugate beam is the M/EI diagram of the loads on the actual beam. A simple support for the real beam remains simple support for the conjugate beam. A fixed end for the real beam becomes free end for the conjugate beam.

Is conjugate beam method and moment-area method same?

Conjugate beam method is the modified moment–area method. This method is based on the construction of a conjugate beam, defined as an imaginary beam of length equal to that of the original beam and loaded with an elastic weight M/EI, where M is the BM of the actual beam.

What are the characteristics of conjugate beam?

Properties of conjugate beam method: The length of a conjugate beam is always equal to the length of the actual beam. The load on the conjugate beam is the M/EI diagram of the loads on the actual beam. Simple support for the real beam remains simple support for the conjugate beam.

What is difference between conjugate beam and real beam?

Conjugate beam method: A Conjugate beam is defined as an imaginary beam with the same dimension as that of the original beam but load at any point on the conjugate beam is equal to bending moment at that point divided by EI (Flexural Rigidity)….Detailed Solution.

Real beam Conjugate beam
Hinge support Roller support