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ISRO ME 2019 STRENGTH OF MATERIALS 2

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Question 1

A rod tapers uniformly from 60 mm to 30 mm diameter in a length of 300 mm. If the rod is subjected to an axial load of 6000 N, then the extension of the rod ( in µm ) ___.
[Take E = 2 × 105 N/mm2]

Question 2

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 3

A simply supported beam carries a load ‘p’ through a bracket, as shown in the figure
Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image154.png
The maximum bending moment in the beam is Nm.

Question 4

A state of plane stress consists of a uniaxial tensile stress of magnitude 8 kPa, exerted on vertical surfaces and of unknown shearing stresses. If the largest stress is 10 kPa, then the magnitude of the unknown shear stress will be _________.

Question 5

For a rectangular section beam, if the beam depth is halved, width is doubled, keeping length and loading same, the bending stress is?

Question 6

For a shaft under pure torsion, the value of twisting moment is T and the angle of twist is If the twisting moment is halved and the angle of twist is tripled, find out the ratio of strain energies (Case 1: case 2) stored in the shaft.

Question 7

A flat steel plate is of trapezoidal form. The thickness of the plate is 15 mm and it tapers uniformly from a width of 60 mm to a width of 10 mm in a length of 300 mm. The elongation of the plate under an axial force of 120 kN is ______ mm.
[Take E = 2.04 × 105 N/mm2]

Question 8

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 9

The figure shows a state of plane stress. If the minimum principal stress is –7 MPa, then what is the value of σ?
18.jpg

Question 10

A 200 mm long stress free rod at room temperature is held between two immovable rigid walls. The temperature of the rod is uniformly raised by 250 °C. if the young’s modulus and coefficient of thermal expansion are 100 GPa and 2*10-5 / °C respectively the magnitude of the longitudinal stress (in MPA. developed in the rod is
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