1
GATE ME 2017 Set 1
MCQ (Single Correct Answer)
+2
-0.6
An initially stress-free massless elastic beam of length $$L$$ and circular cross-section with diameter $$d (d < < L)$$ is held fixed between two walls as shown. The beam material has Young's modulus $$E$$ and coefficient of thermal expansion $$\alpha .$$

If the beam is slowly and uniformly heated, the temperature rise required to cause the beam to buckle is proportional to

A
$$d$$
B
$${d^2}$$
C
$${d^3}$$
D
$${d^4}$$
2
GATE ME 2011
MCQ (Single Correct Answer)
+2
-0.6
A column has a rectangular cross-section of 10 mm $$\times$$ 20 mm and a length of 1 m. The slenderness ratio of the column is close to
A
200
B
346
C
477
D
1000
3
GATE ME 2008
MCQ (Single Correct Answer)
+2
-0.6
The rod $$PQ$$ of length $$L$$ and with flexural rigidity $$EI$$ is hinged at both ends. For what minimum force $$F$$ is expected to buckle?
A
$${{{\pi ^2}EI} \over {{L^2}}}$$
B
$${{\sqrt 2 {\pi ^2}EI} \over {{L^2}}}$$
C
$${{{\pi ^2}EI} \over {\sqrt 2 {L^2}}}$$
D
$${{{\pi ^2}EI} \over {2{L^2}}}$$
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