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1
GATE ME 2006
MCQ (Single Correct Answer)
+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
$${P_{cr}} = {{{\pi ^2}EL} \over {{L^2}}}$$
2
GATE ME 1994
MCQ (Single Correct Answer)
+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
$${{{\pi ^2}EI} \over {4{l^2}}}$$
3
GATE ME 1988
MCQ (Single Correct Answer)
+1
-0.3
If the length of a column is doubled, the critical load becomes:
A
$${1 \over 2}$$ of the original valu
B
$${1 \over 4}$$ of the original value
C
$${1 \over 8}$$ of the original value
D
$${1 \over 16}$$ of the original value
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