1
GATE CE 2013
MCQ (Single Correct Answer)
+1
-0.3
Two steel columns $$P$$ (Length $$L$$ and yield strength $${f_y} = 250\,\,MPa$$) and $$Q$$ (length $$2L$$ and yield strength $${f_y} = 500\,\,MPa$$) have the same cross-sections and end-conditions. The ratio of buckling load of column $$P$$ to that of column $$Q$$ is:
A
$$0.5$$
B
$$1.0$$
C
$$2.0$$
D
$$4.0$$
2
GATE CE 2009
MCQ (Single Correct Answer)
+1
-0.3
Consider the following statements for a compression member

$${\rm I}.\,\,\,\,$$ The elastic critical stress in compression increases with decrease in slenderness ratio

$${\rm II}.\,\,\,\,$$ The effective length depends on the boundary conditions at its ends

$${\rm III}.\,\,\,\,$$ The elastic critical stress in compression is independent of the slenderness ratio

$${\rm IV}.\,\,\,\,$$ The ratio of the effective length to its radius of gyration is called as slenderness ratio

The TRUE statements are

A
Only $${\rm I}$$ and $${\rm II}$$
B
only $${\rm II}$$ and $${\rm III}$$
C
only $${\rm I}$$ and $${\rm I}$$$${\rm I}$$$${\rm I}$$
D
$${\rm I}$$, $${\rm I}$$$${\rm I}$$ and $${\rm IV}$$
3
GATE CE 2009
MCQ (Single Correct Answer)
+1
-0.3
The square root of the ratio of moment of inertia of the cross-section to its cross-sectional area is called
A
second moment of area
B
slenderness ratio
C
section modulus
D
radius of gyration
4
GATE CE 2006
MCQ (Single Correct Answer)
+1
-0.3
Consider the following statements

$${\rm I}.\,\,\,\,$$ Effective length of a battened column is usually increased to account for the additional load on battens due to the lateral expansion of columns.
$${\rm II}.\,\,\,\,$$ As per $$IS:$$ $$800$$-$$1984,$$ permissible stress in bending compression depends on both Euler buckling stress and the yield stress of steel.
$${\rm III}.\,\,\,\,$$ As per $$IS:$$ $$800$$-$$1984,$$ the effective length of a column effectively held in position at both ends but not restrained against rotation, is taken to be greater than that in the ideal end conditions.

The TRUE statements are

A
only $${\rm I}$$ and $${\rm I}$$$${\rm I}$$
B
only $${\rm I}$$$${\rm I}$$ and $${\rm I}$$$${\rm I}$$$${\rm I}$$
C
only $${\rm I}$$ and $${\rm I}$$$${\rm I}$$$${\rm I}$$
D
$${\rm I}$$, $${\rm I}$$$${\rm I}$$ and $${\rm I}$$$${\rm I}$$$${\rm I}$$
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Fluid Mechanics and Hydraulic Machines
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