1
GATE CE 1998
Subjective
+5
-0
The cross-section of a simply supported plate girder is shown in figure. The loading on the girder is symmetrical. The bearing stiffeners at supports are the sole means of providing restraint against torsion. Design the bearing stiffeners at supports, with minimum moment of inertia about the center line of web plate only as the sole design criterion. The flat sections available are: $$250 \times 25,\,\,250 \times 32,\,\,\,200 \times 28$$ and $$200 \times 32\,\,mm.$$ Draw a sketch
2
GATE CE 1998
+2
-0.6
A cantilever beam is shown in the figure. The moment to be applied at free end for zero vertical deflection at the point is
A
$$9$$ $$kN$$-$$m$$ clockwise
B
$$9$$ $$kN$$-$$m$$ anti-clockwise
C
$$12$$ $$kN$$-$$m$$ clockwise
D
$$12$$ $$kN$$-$$m$$ anti-clockwise
3
GATE CE 1998
+2
-0.6
A three hinged arch shown in Figure is quarter of a circle. If the vertical and horizontal components of reaction at $$A$$ are equal, the value of $$\theta$$ is
A
$${60^ \circ }$$
B
$${45^ \circ }$$
C
$${30^ \circ }$$
D
None in ($${0^ \circ },$$ $${90^ \circ }$$)
4
GATE CE 1998
+2
-0.6
The strain energy stored in member $$'AB'$$ of the pin jointed truss shown aside when $$'E'$$ and $$'A'$$ are same for all members is
A
$${{2{P^2}L} \over {AE}}$$
B
$${{{P^2}L} \over {AE}}$$
C
$${{{P^2}L} \over {2AE}}$$
D
Zero
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