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ESE ME 2018 Achiever Study Plan:Strength of Materials Quiz 4

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Question 1

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 2

A solid steel shaft of a diameter d and length l is subjected to twisting moment T. Another shaft B of brass having same diameter d, but length l/2 is also subjected to the same moment. If shear modulus of steel is two times that of brass, the ratio of the angular twist of steel to that of brass shaft is

Question 3

A cantilever beam of 2 m length supports a triangular distributed load over its entire length, the maximum of which is at the free end. The total load is 37.5 kN. What is the bending moment at the fixed end?

Question 4

The figure shown below represents the BM diagram for a simply supported beam
Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image241.jpg
The beam is subjected to which one of the following?

Question 5

A long column hinged at both the ends has certain critical Euler’s buckling load-carrying capacity. If the same column be fixed at both the ends (in place of hinged ends), the load carrying capacity then increases to

Question 6

A solid transmitting torque T. the allowable shearing stress is Description: F:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-22-April\GATE-IES-ME-Strength-of-Materials_files\image296.png.what is the diameter of the shaft?

Question 7

In the case of beams with circular cross-section, what is the ration of the maximum shear stress to average shear stress?

Question 8

Direction: Each of the following items consists of two statements, one labelled as 'Statement (I)' and the other as 'Statement (II)', You are to examine these two statements carefully and select the answers to these items using the code given below.
Statement (I) I – sections are best suited for carrying bending load in one lateral direction.
Statement (II): In the zone, in the vicinity of neutral axis of I-beams, I-section has the least material.

Question 9

A circular section rod ABC is fixed at ends A and C it is subjected to torque at B. AB = BC = L and the polar moment of inertial of portions AB and BC are 2J and J respectively. If G is the modulus of rigidity, what is the angle of the at point B _________?

Question 10

What is the expression for the crippling load for a column of length l with one end fixed and other end free?
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Jul 17ESE & GATE ME