## Conjugate Beam Method | Beam Deflection

Slope on real beam = Shear on conjugate beam

Deflection on real beam = Moment on conjugate beam

Deflection on real beam = Moment on conjugate beam

### Properties of Conjugate Beam

Engr. Christian Otto Mohr

- 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.
- The point of zero shear for the conjugate beam corresponds to a point of zero slope for the real beam.
- The point of maximum moment for the conjugate beam corresponds to a point of maximum deflection for the real beam.

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