1
GATE CE 2014 Set 2
Numerical
+2
-0
The beam of an overall depth $$250$$ $$mm$$ (shown below) is used in a building subjected to two different thermal environments. The temperatures at the top and bottom surfaces of the beam are $${36^ \circ }C$$ and $${72^ \circ }C$$ respectively. Considering coefficient of thermal expansion $$\left( \alpha \right)$$ as $$1.50 \times {10^{ - 5}}\,\,$$ per$${}^ \circ C,$$ the vertical deflection of the beam (in $$mm$$) at its mid-span due to temperature gradient is ______________
2
GATE CE 2006
+2
-0.6
A beam with cross-section given below is subjected to a positive bending moment (causing compression at the top) of $$16$$ $$kN$$-$$m$$ acting around the horizontal axis. The tensile force acting on the hatched area of the cross-section is
A
zero
B
$$5.9$$ $$kN$$
C
$$8.9$$ $$kN$$
D
$$17.8$$ $$kN$$
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 1992
+2
-0.6
The maximum bending stress induced in a steel wire of modulus of elasticity $$200$$ $$kN/m{m^2}$$ and diameter $$1$$ $$mm$$ when wound on a drum of diameter $$1$$ $$m$$ is approximately equal to
A
$$50\,N/m{m^2}$$
B
$$100\,N/m{m^2}$$
C
$$200\,N/m{m^2}$$
D
$$400\,N/m{m^2}$$
EXAM MAP
Medical
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