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Test: Analysis of Stress & Strain - 2 - Mechanical Engineering MCQ


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10 Questions MCQ Test Strength of Materials (SOM) - Test: Analysis of Stress & Strain - 2

Test: Analysis of Stress & Strain - 2 for Mechanical Engineering 2024 is part of Strength of Materials (SOM) preparation. The Test: Analysis of Stress & Strain - 2 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Analysis of Stress & Strain - 2 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Analysis of Stress & Strain - 2 below.
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Test: Analysis of Stress & Strain - 2 - Question 1

‘p1’ and ‘p2’ are two equal tensile principal stresses. On the plane AB inclined at 45° to the plane of ‘p1’ as shown in the figure below,

Detailed Solution for Test: Analysis of Stress & Strain - 2 - Question 1

The plane AB is principal plane, and at the principal plane shear stress is zero.

Test: Analysis of Stress & Strain - 2 - Question 2

In a Mohr’s circle, the radius of the circle is taken as

Detailed Solution for Test: Analysis of Stress & Strain - 2 - Question 2

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Test: Analysis of Stress & Strain - 2 - Question 3

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

Detailed Solution for Test: Analysis of Stress & Strain - 2 - Question 3

From the above figure coordinates of the centre are 

Test: Analysis of Stress & Strain - 2 - Question 4

A Mohr’s circle reduces to a point when the body is subjected to

Detailed Solution for Test: Analysis of Stress & Strain - 2 - Question 4

When the normal stresses on the two mutually perpendicular planes are equal and alike then radius of Mohr’s circle will be zero.
i.e.  

Hence Mohr’s circle reduces to a point.

Test: Analysis of Stress & Strain - 2 - Question 5

If a body carries two unlike principal stresses, what is the maximum shear stress?

Detailed Solution for Test: Analysis of Stress & Strain - 2 - Question 5


The principal stress given are unlike i.e if one is tensile and other is compressive. Let σ1 be tensile and σ2 be compressive, then

Test: Analysis of Stress & Strain - 2 - Question 6

Maximum shear stress in a Mohr’s circle

Detailed Solution for Test: Analysis of Stress & Strain - 2 - Question 6


Radius of the Mohr’s Circle 
Maximum shear stress, 
∴ Radius of Mohr’s circle is equal to maximum shear stress

Test: Analysis of Stress & Strain - 2 - Question 7

In a two dimensional problem, the state of pure shear at a point is characterized by

Test: Analysis of Stress & Strain - 2 - Question 8

In a plane stress problem there are normal tensile stresses σx and σy accompanied by shear stres τxy at a point along orthogonal Cartesian co-ordinates x and y respectively. If it is observed that the minimum principal stress on a certain plane is zero then,

Detailed Solution for Test: Analysis of Stress & Strain - 2 - Question 8

Principal stresses,

Since minimum principal stress is zero, so

Test: Analysis of Stress & Strain - 2 - Question 9

State of stress at a point in a strained body is shown in figure.

Which one of the figure given below represents correctly the Mohr's circle for the state of stress?

Detailed Solution for Test: Analysis of Stress & Strain - 2 - Question 9

Mohr’s circle for pure shear stress

Since neither tensile nor compressive stress exists, the Mohr’s diagram is simply a circle of radius τxy and centre at the intersection of the two axes. It can also be verified by transformation of plane formula.

Test: Analysis of Stress & Strain - 2 - Question 10

The equivalent bending moment under combined action of bending moment M and torque T is

Detailed Solution for Test: Analysis of Stress & Strain - 2 - Question 10


Maximum principal stress,

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