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1
GATE CE 2024 Set 2
MCQ (Single Correct Answer)
+2
-0.833

A homogeneous, prismatic, linearly elastic steel bar fixed at both the ends has a slenderness ratio (l/r) of 105, where l is the bar length and r is the radius of gyration. The coefficient of thermal expansion of steel is $12 \times 10^{-6}$ $^{\circ}$C. Consider the effective length of the steel bar as $0.5l$ and neglect the self-weight of the bar.

The differential increase in temperature (rounded off to the nearest integer) at which the bar buckles is

A

298 $^{\circ}$C

B

85 $^{\circ}$C

C

400 $^{\circ}$C

D

250 $^{\circ}$C

2
GATE CE 2017 Set 1
Numerical
+2
-0
Consider two axially loaded columns, namely. $$1$$ and $$2,$$ made of a linear elastic material with Young's modulus $$2 \times {10^5}\,\,MPa,$$ square cross-section with side $$10$$ $$mm$$, and length $$1$$ $$m.$$ For Column $$1,$$ one end is fixed and the other end is free. For column $$2,$$ one end is fixed and the other end is pinned. Based on the Euler's theory, the ratio (up to one decimal place) of the buckling load of Column $$2$$ to the buckling load of column $$1$$ is ___________
Your input ____
3
GATE CE 2014 Set 1
MCQ (Single Correct Answer)
+2
-0.6
If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is
$${{{d^2}y} \over {d{x^2}}} + {P \over {EI}}y = 0$$ GATE CE 2014 Set 1 Strength of Materials Or Solid Mechanics - Columns and Struts Question 4 English

If $$'a'$$ is amplitude constant for $$y,$$ then

A
$$y = {1 \over P}\left( {1 - a\,\cos {{2\pi x} \over L}} \right)$$
B
$$y = {1 \over P}\left( {1 - a\,sin{{2\pi x} \over L}} \right)$$
C
$$y = a\,\sin {{n\pi x} \over L}$$
D
$$y = a\,\cos {{n\pi x} \over L}$$
4
GATE CE 2012
MCQ (Single Correct Answer)
+2
-0.6
The sketch shows a column with a pin at the base and rollers at the top. It is subjected to an axial force $$P$$ and a moment $$M$$ at mid-height. The reaction$$(s)$$ at $$R$$ is/are GATE CE 2012 Strength of Materials Or Solid Mechanics - Columns and Struts Question 5 English
A
a vertical force equal to $$P$$
B
a vertical force equal to $$P/2$$
C
a vertical force equal to $$P$$ and a horizontal force equal to $$M/h$$
D
a vertical force equal to $$P/2$$ and a horizontal force equal to $$M/h$$
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