1
GATE ME 2015 Set 1
Numerical
+1
-0
Consider a steel (Young’s modulus $$E = 200$$ $$GP$$a) column hinged on both sides. Its height is $$1.0$$ $$m$$ and cross-section is $$10 mm$$ $$\times$$ $$20 mm$$. The lowest Euler critical buckling load (in $$N$$) is __________ .
2
GATE ME 2012
+1
-0.3
For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is
A
1
B
2
C
4
D
8
3
GATE ME 2006
+1
-0.3
A pin-ended column of length $$L,$$ modulus of elasticity $$E$$ and second moment of the cross-sectional area $$I$$ is loaded centrally by a compressive load $$P.$$ The critical buckling load $$\left( {{P_{cr}}} \right)$$ is given by
A
$${P_{cr}} = {{EL} \over {{\pi ^2}{L^2}}}$$
B
$${P_{cr}} = {{{\pi ^2}EL} \over {3{L^2}}}$$
C
$${P_{cr}} = {{\pi EL} \over {{L^2}}}$$
D
$${P_{cr}} = {{{\pi ^2}EL} \over {{L^2}}}$$
4
GATE ME 1994
+1
-0.3
For the case of a slender column of length $$l,$$ and flexural rigidity $$EI$$ built-in at its base and free at the top, the Euler’s critical buckling load is
A
$${{4{\pi ^2}EI} \over {{l^2}}}$$
B
$${{2{\pi ^2}EI} \over {{l^2}}}$$
C
$${{{\pi ^2}EI} \over {{l^2}}}$$
D
$${{{\pi ^2}EI} \over {4{l^2}}}$$
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