1
MCQ (Single Correct Answer)

GATE CE 2002

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.
A
Hinges are formed at $$A,B$$ and $$C$$ together
B
Hinges are formed at $$B$$ and then at $$A$$ and $$C$$ together
C
Hinges are formed at $$A$$ and $$C$$ together and then at $$B$$
D
Hinges are formed at $$A$$ and $$C$$ only
2
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.
A
$${\rm I}{\rm I}{\rm I},\,\,{\rm I},\,\,{\rm I}V,{\rm I}{\rm I}$$
B
$${\rm I},\,\,{\rm I}{\rm I},\,\,{\rm I}{\rm I}{\rm I},{\rm I}V$$
C
$${\rm I}{\rm I}{\rm I},\,\,{\rm I}V,\,\,{\rm I},\,\,{\rm I}{\rm I}$$
D
$${\rm I}{\rm I}{\rm I},\,\,{\rm I}V,\,\,{\rm I}{\rm I},\,\,{\rm I}$$
3
MCQ (Single Correct Answer)

GATE CE 2000

A cantilever beam of length $$L$$ and a cross section with shape factor $$'f'$$ supports a concentrated load $$P$$ as shown below:

The length $${L_P}$$ of the plastic zone, when the maximum bending moment, equals the plastic moment $${M_P}$$, given by

A
$${{{L_P}} \over L} = {1 \over f}$$
B
$${{{L_P}} \over L} = L\left( {1 - f} \right)$$
C
$${{{L_P}} \over L} = 1 - {1 \over {\sqrt f }}$$
D
$${{{L_P}} \over L} = 1 - {1 \over f}$$
4
MCQ (Single Correct Answer)

GATE CE 1999

The shape factor of the section shown in fig. is
A
$$1.5$$
B
$$1.12$$
C
$$2$$
D
$$1.7$$

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