8.7 CONJUGATE BEAM METHOD
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. This method is specially useful for simply supported and cantilever beams with varying flexural rigidities.
This method is based on the following two theorems:
1. Conjugate beam Theorem I
Shear force at any section of the conjugate beam is equal to the slope of the elastic curve at the corresponding section of the actual beam.
2. Conjugate beam Theorem II
Bending moment at any section of the conjugate beam is equal to the deflection of the elastic curve ...
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