1
GATE CE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
An elastic bar of length L, uniform cross sectional area A, coefficient of thermal expansion a, and Young’s modulus E is fixed at the two ends. The temperature of the bar is increased by T, resulting in an axial stress $$\sigma$$. Keeping all other parameters unchanged, if the length of the bar is doubled, the axial stress would be
A
$$\sigma$$
B
$$2\sigma$$
C
$$0.5\sigma$$
D
$$0.25\sigma$$
2
GATE CE 2017 Set 1
MCQ (Single Correct Answer)
+1
-0.3
A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true?
A
Maximum or minimum shear force occurs where the curvature is zero
B
Maximum or minimum bending moment occurs where the shear force is zero
C
Maximum or minimum bending moment occurs where the curvature is zero
D
Maximum bending moment and maximum shear force occur at the same section.
3
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 ___________
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4
GATE CE 2017 Set 1
Numerical
+2
-0
Consider the stepped bar made with a linear elastic material and subjected to an axial load of $$1$$ $$kN$$, as shown in the figure GATE CE 2017 Set 1 Strength of Materials Or Solid Mechanics - Strain Energy Method Question 1 English

Segment $$1$$ and $$2$$ have cross-sectional area of $$100\,\,m{m^2}$$ and $$60\,\,m{m^2}$$, Young's modulus of $$2 \times {10^5}\,\,MPa$$ and $$3 \times {10^5}\,\,MPa,$$ and length of $$400$$ $$mm$$ and $$900$$ $$mm,$$ respectively. The strain energy (in $$N$$-$$mm,$$ up to one decimal place) in the bar due to the axial load is _________

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