A steel beam (with a constant $$EI,$$ and span $$L$$) is fixed at both ends and carries a uniformly distributed load ($$w$$ $$kN/m$$), which is gradually increased till the beam reaches the stage of plastic collapse (refer to the following figure). Assuming $$'B'$$ to be at mid-span, which of the following is true.
Hinges are formed at $$A,B$$ and $$C$$ together
Hinges are formed at $$B$$ and then at $$A$$ and $$C$$ together
Hinges are formed at $$A$$ and $$C$$ together and then at $$B$$
Hinges are formed at $$A$$ and $$C$$ only
MCQ (Single Correct Answer)
GATE CE 2000
The four cross sections shown below are required to be ordered in the increasing order of their respective shape factors.