1
GATE CE 2003
+1
-0.3
A curved number with a straight vertical leg is carrying a vertical load at $$Z,$$ as shown in the figure. The stress resultants in the $$XY$$ segment are. Bending movement, shear force and axial force A
Bending moment and axial force only
B
Bending moment and shear force only
C
Axial force only
D
Bending moment only
2
GATE CE 2003
+2
-0.6
List - $${\rm I}$$ shows different loads acting on a beam and list - $${\rm II}$$ shows different bending moment distributions. Match the load with the corresponding bending moment diagram.  A
$$A - 4,\,\,B - 2,\,\,C - 1,\,\,D - 3$$
B
$$A - 5,\,\,B - 4,\,\,C - 1,\,\,D - 3$$
C
$$A - 5,\,\,B - 5,\,\,C - 3,\,\,D - 1$$
D
$$A - 2,\,\,B - 4,\,\,C - 1,\,\,D - 3$$
3
GATE CE 2003
+2
-0.6
A simply supported beam of uniform rectangular cross-section of width $$b$$ and depth $$h$$ is subjected to linear temperature gradient, $${0^ \circ }$$ at the top $${T^ \circ }$$ at the bottom, as shown in the figure. The coefficient of linear expansion of the beam material is $$\alpha .$$ This resulting vertical deflection at the mid-span of the beam is A
$${{\alpha {\mkern 1mu} {\mkern 1mu} T{h^2}} \over {8L}}{\mkern 1mu}$$ upward
B
$${{\alpha \,\,T{L^2}} \over {8h}}\,\,$$ upward
C
$${{\alpha {\mkern 1mu} {\mkern 1mu} T{h^2}} \over {8L}}{\mkern 1mu}$$ downward
D
$${{\alpha \,\,T{L^2}} \over {8h}}\,\,$$ downward
4
GATE CE 2003
+2
-0.6
A $$''H''$$ Shaped frame of uniform flexural rigidity $$EI$$ is loaded as shown in the figure. The relative outward displacement between points $$K$$ and $$O$$ is A
$${{R\,L{h^2}} \over {EI}}$$
B
$${{R\,{L^2}h} \over {EI}}$$
C
$${{R\,L{h^2}} \over {3EI}}$$
D
$${{R\,{L^2}h} \over {4EI}}$$
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