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Strength of Materials Quiz 1

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Question 1

Wall thickness of a cylindrical shell of 800 mm internal diameter and 2m long is 10 mm. If the shell is subjected to an internal pressure of 1.5 MPa. Find the maximum intensity of shear stress induced in Mpa. Consider the cylindrical shell to be thin cylinder and circumferential stress remains constant along the wall thickness.

Question 2

A thin cylindrical pressure vessel is subjected to an internal pressure of 3 MPa having diameter and thickness of the cylinder vessel is 600mm and 12 mm respectively. Find the percentage change in volume of the cylinder under given condition if modulus of elasticity is E=200 GPa and poisson's ratio is 0.21.

Question 3

The ratio of torque carrying capacity of a solid shaft of that of a hollow shaft is given by
Where Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image379.png
Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image380.png = inside diameter of hollow shaft
Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image381.png = outside diameter of hollow shaft
Shaft material are the same.

Question 4

For long column of length L, what will be the ratio of

where,

P1 = Euler’s buckling load, when both ends are hinged.

P2 = Euler’s buckling load, when both ends are fixed.

Question 5

An overhanging beam ABC is supported at points A and B, as shown in the figure below.
Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image250.jpg
Find the maximum bending moment and the point where it occurs __________.

Question 6

The relationship between Young’s modulus (E), Bulk modulus (K) and Poisson’s ratio (v) is given by

Question 7

If the Poisson’s ratio of an elastic material is 0.25, then the ratio of modulus of rigidity to Young's modulus is____.

Question 8

Principal plane is a plane on which __________.

Question 9

The state of stress at a point under plane stress condition is σx=40 MPa, σy=100 MPa, τxy=40 MPa.

The radius of the Mohr’s Circle representing the given state of stress in MPa is

Question 10

Beam of uniform strength vary in section such that
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