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ISRO 2018 S.O.M Booster Quiz 3

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Question 1

A circular shaft subjected to torsion undergoes a twist of 1 ° in a length of 120 cm. If the maximum shear stress induced is limited to 1000 kg/cm2 and if modulus of rigidity G=0.8×106 Kg/cm2, then the radius of the shaft should be ___________.

Question 2

Given that
PE = the crippling load given by Euler
PC = the load at failure due to direct compression
PR = the load in accordance with the Rankine’s criterion of failure
Then PR is given by

Question 3

At a point in a material there are two direct stresses of 60 MPa tensile and 50 MPa compressive acting at right angles to each other. The greatest principal stress in the material is limited to 125 MPa in tension. What will be maximum shearing stress to which the material can be subjected on the given plane __________.

Question 4

A simply supported beam PQ is loaded by a moment of 1 kN-m at the mid-span of the beam as shown in the figure. The reaction forces RP and RQ at supports P and Q respectively are
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ME-2011_files\image020.jpg

Question 5

A metallic rod of 500 mm length and 50 mm diameter, when subjected to a tensile force of 100 kN at the ends, experiences an increase in its length by 0.5 mm and a reduction in its diameter by 0.015 mm. The Poisson's ratio of the rod material is ________.

Question 6

A circular bar rigidly fixed at its both ends uniformly taper from 150 mm at one end to 100 mm at the other end. If its temperature is raised through 30K, what will be maximum stress developed in the bar.
[Take Eas 200 GPa and Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image086.png as Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image087.pngfor the bar materials]

Question 7

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 8

Find out the outer diameter of the hollow shaft, if the allowable shear stress induced in it is 53MPa and the permissible value of Torque in it is 2000Nm. Take the value of k to be 0.4 where k is the ratio of inner diameter to outer diameter .
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