Civil Engineering Reference
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REAL
CONJUGATE
Pin
Pin
Roller
Roller
Fixed
Free
Free
Fixed
Internal pin
Hinge
Internal roller
Hinge
Hinge
Internal roller
Figure 4.12. Conjugate versus real supports.
REAL
CONJUGATE
Figure 4.13. Conjugate versus real beams.
Example 4.7
Conjugate beam
Find the slope and deflection at the free end of the cantilever beam in
Figure 4.14 by the conjugate beam method.
A free-body diagram of the real beam is drawn with the reactions at
the fixed-end found from static equilibrium. The conjugate beam is drawn
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