Mechanical Engineering Exam  >  Mechanical Engineering Tests  >  GATE Mechanical (ME) 2024 Mock Test Series  >  Test: Theories of Column & Theories of Failure - 2 - Mechanical Engineering MCQ

Test: Theories of Column & Theories of Failure - 2 - Mechanical Engineering MCQ


Test Description

25 Questions MCQ Test GATE Mechanical (ME) 2024 Mock Test Series - Test: Theories of Column & Theories of Failure - 2

Test: Theories of Column & Theories of Failure - 2 for Mechanical Engineering 2024 is part of GATE Mechanical (ME) 2024 Mock Test Series preparation. The Test: Theories of Column & Theories of Failure - 2 questions and answers have been prepared according to the Mechanical Engineering exam syllabus.The Test: Theories of Column & Theories of Failure - 2 MCQs are made for Mechanical Engineering 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Theories of Column & Theories of Failure - 2 below.
Solutions of Test: Theories of Column & Theories of Failure - 2 questions in English are available as part of our GATE Mechanical (ME) 2024 Mock Test Series for Mechanical Engineering & Test: Theories of Column & Theories of Failure - 2 solutions in Hindi for GATE Mechanical (ME) 2024 Mock Test Series course. Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free. Attempt Test: Theories of Column & Theories of Failure - 2 | 25 questions in 75 minutes | Mock test for Mechanical Engineering preparation | Free important questions MCQ to study GATE Mechanical (ME) 2024 Mock Test Series for Mechanical Engineering Exam | Download free PDF with solutions
1 Crore+ students have signed up on EduRev. Have you? Download the App
Test: Theories of Column & Theories of Failure - 2 - Question 1

Match 4 correct pairs between list I and List II for the questions

[GATE-1994]

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 1

St. Venant's law: Maximum principal strain theory

Test: Theories of Column & Theories of Failure - 2 - Question 2

Which theory of failure will you use for aluminium components under steady loading?

[GATE-1999]

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 2

Aluminium is a ductile material so use maximum shear stress theory

Test: Theories of Column & Theories of Failure - 2 - Question 3

According to Von-Mises' distortion energy theory, the distortion energy under three dimensional stress state is represented by

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 3

Test: Theories of Column & Theories of Failure - 2 - Question 4

A small element at the critical section of a component is in a bi-axial state of stress with the two principal stresses being 360 MPa and 140 MPa. The maximum working stress according to Distortion Energy Theory is:

[GATE-1997]

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 4

According to distortion energy theory if maximum stress (σt) then

Test: Theories of Column & Theories of Failure - 2 - Question 5

Match List-I (Theory of Failure) with List-II (Predicted Ratio of Shear Stress to Direct Stress at Yield Condition for Steel Specimen) and select the correct answer using the code given below the Lists:

[IES-2006]

Test: Theories of Column & Theories of Failure - 2 - Question 6

A circular solid shaft is subjected to a bending moment of 400 kNm and a twisting moment of 300 kNm. On the basis of the maximum principal stress theory, the direct stress is σ and according to the maximum shear stress theory, the shear stress is τ . The ratio σ/τ is:

[IES-2000]

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 6

Test: Theories of Column & Theories of Failure - 2 - Question 7

Design of shafts made of brittle materials is based on

[IES-1993]

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 7

Rankine's theory or maximum principle stress theory is most commonly used for
brittle materials.

Test: Theories of Column & Theories of Failure - 2 - Question 8

According to the maximum shear stress theory of failure, permissible twisting moment in a circular shaft is 'T'. The permissible twisting moment will the same shaft as per the maximum principal stress theory of failure will be:

[IES-1998: ISRO-2008]

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 8

  principalstressesfor only thisshear stressare 

  maximum principal stress theory of failuregives

Test: Theories of Column & Theories of Failure - 2 - Question 9

A cold roller steel shaft is designed on the basis of maximum shear stress theory. The principal stresses induced at its critical section are 60 MPa and - 60 MPa respectively. If the yield stress for the shaft material is 360 MPa, the factor of safety of the design is

[IES-2002]

Test: Theories of Column & Theories of Failure - 2 - Question 10

For a two-dimensional state stress    the designed values are most conservative if which one of the following failure theories were used?

[IES-1998]

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 10

Graphical comparison of different failure theories
Above diagram shows that  will occur at 4th quadrant and most
conservative design will be maximum shear stress theory.

Test: Theories of Column & Theories of Failure - 2 - Question 11

Who postulated the maximum distortion energy theory?

[IES-2008]

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 11

Maximum shear stress theory → Tresca
Maximum principal stress theory → Rankine
Maximum principal strain theory → St. Venant
Maximum shear strain energy theory → Mises – Henky

Test: Theories of Column & Theories of Failure - 2 - Question 12

If σy is the yield strength of a particular material, then the distortion energy theory is expressed as

[IES-1994]

Test: Theories of Column & Theories of Failure - 2 - Question 13

A transmission shaft subjected to bending loads must be designed on the basis of

[IES-1996]

Test: Theories of Column & Theories of Failure - 2 - Question 14

A rod having cross-sectional area 100 x 10- 6 m2 is subjected to a tensile load. Based on the Tresca failure criterion, if the uniaxial yield stress of the material is 200 MPa, the failure load is:

[IES-2001]

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 14

Tresca failure criterion is maximum shear stress theory.

Weknowthat

Test: Theories of Column & Theories of Failure - 2 - Question 15

Who postulated the maximum distortion energy theory?

[IES-2008]

Test: Theories of Column & Theories of Failure - 2 - Question 16

For    what is the physical boundary for Rankine failure theory?

[IAS-2004] 

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 16

Rankine failure theory or
Maximum principle stress theory.

Test: Theories of Column & Theories of Failure - 2 - Question 17

Which one of the following graphs represents Mises yield criterion?

IAS-1996]

Test: Theories of Column & Theories of Failure - 2 - Question 18

The maximum distortion energy theory of failure is suitable to predict the failure of which one of the following types of materials?

[IES-2004]

Test: Theories of Column & Theories of Failure - 2 - Question 19

The ratio of Euler's buckling loads of columns with the same parameters having (i) both ends fixed, and (ii) both ends hinged is:

[GATE-1998; 2002; IES-2001]

Detailed Solution for Test: Theories of Column & Theories of Failure - 2 - Question 19

Euler‟s buckling loads of columns 

Test: Theories of Column & Theories of Failure - 2 - Question 20

For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is

[GATE-2012]

Test: Theories of Column & Theories of Failure - 2 - Question 21

Four columns of same material and same length are of rectangular cross-section of same breadth b. The depth of the cross-section and the end conditions are, however different are given as follows:

Which of the above columns Euler buckling load maximum?

[IES-2004]

Test: Theories of Column & Theories of Failure - 2 - Question 22

Assertion (A): A long column of square cross-section has greater buckling stability than that of a column of circular cross-section of same length, same material, same end conditions and same area of cross-section.

Reason (R): The second moment of area of a column of circular cross-section is smaller than that of a column of square cross section having the same area.

[IAS-1998]

Test: Theories of Column & Theories of Failure - 2 - Question 23

For which one of the following columns, Euler buckling load 

[IAS-1999; 2004]

Test: Theories of Column & Theories of Failure - 2 - Question 24

What is the expression for the crippling load for a column of length „l‟ with one end fixed and other end free?

[IES-2006; GATE-1994]

Test: Theories of Column & Theories of Failure - 2 - Question 25

Euler's formula gives 5 to 10% error in crippling load as compared to experimental results in practice because:

[IES-1998]

27 docs|228 tests
Information about Test: Theories of Column & Theories of Failure - 2 Page
In this test you can find the Exam questions for Test: Theories of Column & Theories of Failure - 2 solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Theories of Column & Theories of Failure - 2, EduRev gives you an ample number of Online tests for practice
Download as PDF
Download the FREE EduRev App
Track your progress, build streaks, highlight & save important lessons and more!