1
GATE CE 2003
MCQ (Single Correct Answer)
+1
-0.3
A long structural column (length $$-L$$) with both ends hinged is acted upon by an axial compressive load $$P.$$ The differential equation governing the bending of column is given by: $$$EI{{{d^2}y} \over {d{x^2}}} = - Py$$$

Where $$y$$ is the structural lateral deflection and $$EI$$ is the flexural rigidity. The first critical load on column responsible for its buckling is given by

A
$${{{\pi ^2}EI} \over {{L^2}}}$$
B
$${{\sqrt {2{\pi ^2}EI} } \over {{L^2}}}$$
C
$${{2{\pi ^2}EI} \over {{L^2}}}$$
D
$${{4{\pi ^2}EI} \over {{L^2}}}$$
2
GATE CE 2000
MCQ (Single Correct Answer)
+1
-0.3
Four column of the same material having identical geometric properties are supported in different ways as shown below GATE CE 2000 Strength of Materials Or Solid Mechanics - Columns and Struts Question 10 English

It is required to order these four beams in the increasing order of their respective first buckling loads. The correct order is given by

A
$${\rm I},$$ $${\rm II},$$ $${\rm III},$$ $${\rm IV}$$
B
$${\rm III},$$ $${\rm IV},$$ $${\rm II},$$ $${\rm I}$$
C
$${\rm II},$$ $${\rm I},$$ $${\rm IV},$$ $${\rm III}$$
D
$${\rm I},$$ $${\rm II},$$ $${\rm IV},$$ $${\rm III}$$
3
GATE CE 1994
MCQ (Single Correct Answer)
+1
-0.3
When a column is fixed at both ends corresponding to Euler's criterion load is
A
$${{{n^2}E{\rm I}} \over {{L^2}}}$$
B
$${{2{n^2}E{\rm I}} \over {{L^2}}}$$
C
$${{3{n^2}E{\rm I}} \over {{L^2}}}$$
D
$${{4{n^2}E{\rm I}} \over {{L^2}}}$$
4
GATE CE 1992
MCQ (Single Correct Answer)
+1
-0.3
The axial load carrying capacity of a long column of given material. Cross-sectional area, $$A$$ and length, $$L$$ is governed by
A
Strength of its material only
B
Its flexural rigidity only
C
Its slenderness ratio only
D
Both flexural rigidity and slenderness ratio
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