1
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 $${\rm I}$$$${\rm I}$$$${\rm I}$$
2
GATE CE 2006
MCQ (Single Correct Answer)
+1
-0.3
Mohr's cicle for the state of stress defined by $$\left[ {\matrix{ {30} & 0 \cr 0 & {30} \cr } } \right]$$ $$MPa$$ is a circle with
A
Center at $$(0,0)$$ and Radius $$30$$ $$MPa$$
B
Center at $$(0,0)$$ and Radius $$60$$ $$MPa$$
C
Center at $$(30,0)$$ and Radius $$30$$ $$MPa$$
D
Center at $$(30, 0)$$ and Zero radius
3
GATE CE 2006
MCQ (Single Correct Answer)
+2
-0.6
A simply supported beam $$AB$$ has the bending moment diagram as shown in the following figure : GATE CE 2006 Strength of Materials Or Solid Mechanics - Shear Force and Bending Moment Question 2 English

The beam is possibly under the action of following loads

A
Couples of $$M$$ at $$C$$ and $$2M$$ at $$D$$
B
Couples of $$2$$ $$M$$ at $$C$$ and $$M$$ at $$D$$
C
Concentrated loads of $$M/L$$ at $$C$$ and $$2M/L$$ at $$D$$
D
Concentrated load of $$M/L$$ at $$C$$ and couple of $$2$$ $$M$$ at $$D$$
4
GATE CE 2006
MCQ (Single Correct Answer)
+1
-0.3
A long shaft of diameter $$d$$ is subjected to twisting moment $$T$$ at its ends. The maximum normal stress acting at its cross-section is equal to
A
zero
B
$${{16T} \over {\pi {d^3}}}$$
C
$${{32T} \over {\pi {d^3}}}$$
D
$${{64T} \over {\pi {d^3}}}$$
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