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ESE 2019: Strength of Materials Quiz-4

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Question 1

Which one of the following expresses the total elongation of the bar of length L with the constant cross-section of A and modulus of elasticity E hanging vertically and subject to its own weight W?

Question 2

If the ratio G/E (G = Rigidity modulus, E = Young’s modulus of elasticity) is 0.4, then what is value of the Poisson ratio?

Question 3

For a general two dimensional stress system, what are the coordinate of the centre of Mohr’s circle?

Question 4

If a material expands freely due to heating, it will develop

Question 5

The diameter of a solid shaft is D. the inside and outside diameters of a hollow shaft of same material and length are Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image373.png andDescription: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image374.png respectively. What is the ration of the weight of the hollow shaft to the solid shaft?

Question 6

When a rectangular section beam is loaded transversely along the length shear stress is maximum at 

Question 7

Match List-I (long column) with List-II (critical load) and select the correct answer using the code given below the lists:
List-I
A). Both ends hinged
B). One end fixed and other end free
C). Both ends fixed
D). One end fixed and other end hinged
List–II
1). Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image425.png
2). Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image426.png
3). Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image427.png
4). Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image428.png

Question 8

The maximum shearing stress induced in the beam section at any layer at any position along the beam length (shown in the figure) is equal to

Question 9

The strain energy per unit volume of a round bar under uniaxial tension with axial stress σ and modulus of elasticity E is

Question 10

Consider the following statements:
When a thick plate is subjected to external loads:

1). State of plane stress occurs at the surface.
2). State of plane strain occurs at the surface.
3). State of plane stress occurs in the interior part of the plate
4). State of plane strain occurs in the interior part of the plate
Which of these statements are correct?
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Jun 29ESE & GATE ME