Question

A two span beam with an intemal hinge is shown below


Conjugate beam corresponding to this is

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

For a fixed end, $\delta =0$ and therefore, in the conjugate beam, bending moment and shear force should be zero. Hence, it become a free end.
Similarly, condition for other supports can be analyzed.
Real Beam Conjugate Beam
Fixed end Free end
Internal hinge Internal pin
Internal pin Internal hinge
end pin end pin