Conjugate Beam Method | Beam Deflection

Slope on real beam = Shear on conjugate beam
Deflection on real beam = Moment on conjugate beam

 

Properties of Conjugate Beam

Otto Mohr
Engr. Christian Otto Mohr
  1. The length of a conjugate beam is always equal to the length of the actual beam.
  2. The load on the conjugate beam is the M/EI diagram of the loads on the actual beam.
  3. A simple support for the real beam remains simple support for the conjugate beam.
  4. A fixed end for the real beam becomes free end for the conjugate beam.
  5. The point of zero shear for the conjugate beam corresponds to a point of zero slope for the real beam.
  6. The point of maximum moment for the conjugate beam corresponds to a point of maximum deflection for the real beam.