THEORIES OF ELASTIC FAILURE MULTIPLE CHOICE QUESTIONS (MCQ) WITH ANSWERS
THEORIES OF ELASTIC FAILURE
MULTIPLE CHOICE QUESTIONS
(MCQ) WITH ANSWERS
MCQ help to understand the topic in great depth.
Then, it will be easy to apply these theories in the
design of various machine parts. Ductile materials
are equally strong in tension and compression. Thus
these are more versatile. Brittle materials are strong
in compression and weak in tension. Maximum
number of failure in real life is due to tensile failure.
Fig. Various Theories of Elastic Failure
(Minimum inside area common to all theories is safe under all types of loads)
Fig. Maximum Shear Stress Theory
1. Maximum principal stress theory is applicable to
(a) Ductile materials
(b) Brittle materials
(c) Composite materials
(d) None
(Ans: b)
2. Under maximum principal stress theory, maximum principal stress is equal to
(a) Allowable stress in tension
(b) Allowable stress in compression
(c) Allowable stress in shear
(d) None
(Ans: a)
3. Maximum principal theory is also known as
(a) Guest Theory
(b) Beltrami Theory
(c) Rankine Theory
(d) None
(Ans: c)
4. Maximum principal theory is also known as
(a) Beltrami Theory
(b) Maximum normal stress theory
(c) Saint Venant’s theory
(d) None
(Ans: b)
5. Maximum principal stress is equal to
(a) (σx + σy)/2 + [ (σx –σy)2 + τ2]0.5
(b) (σx + σy)/2 + 0.5 [ (σx –σy)2 + τ2]0.5
(c) (σx + σy)/2 + 0.5 [ (σx –σy)2 + 4τ2]0.5
(d) None
(Ans: c)
6. Maximum shear stress theory is also called as
(a) Beltrami theory
(b) Coulomb’s theory
(c) Haigh theory
(d) None
(Ans: b)
7. Maximum shear stress theory is also called as
(a) Beltrami theory
(b) Haigh theory
(c) Tresca theory
(d) None
(Ans: c)
8. Maximum shear stress theory is also called as
(a) Guest’s theory
(b) Haigh theory
(c) Rankine theory
(d) None
(Ans: a)
9. Maximum shear stress theory is applicable to
(a) Ductile materials
(b) Brittle materials
(c) Composite materials
(d) None
(Ans: a)
10. Under maximum shear stress theory, maximum shear stress is equal to
(a) Allowable stress in tension
(b) Allowable stress in compression
(c) Allowable stress in shear
(d) None
(Ans: c)
11. Maximum shear stress is equal to
(a) (σ1 –σ2)/2
(b) (σ1 + σ2)/2
(c) (σ1 + 2σ2)/2
(d) None
(Ans: a)
12. Maximum principal strain theory is applicable to
(a) Ductile materials
(b) Brittle materials
(c) Composite materials
(d) None
(Ans: b)
13. Maximum principal strain theory is also called as
(a) Guest’s theory
(b) Haigh theory
(c) St.Venant’s theory
(d) None
(Ans: c)
14. Maximum principal strain is equal to when σ1 and σ2 are tensile
(a) (σ1 –µσ2)/E
(b) (σ1 + µσ2)/E
(c) (–σ1 –µσ2)/E
(d) None
(Ans: a)
15. Maximum total strain energy theory is also known as
(a) Guest’s theory
(b) Haigh theory
(c) St.Venant’s theory
(d) None
(Ans: b)
16. Maximum total strain energy theory is also known as
(a) Guest’s theory
(b) St.Venant’s theory
(c) Beltrami theory
(d) None
(Ans: c)
17. Maximum total strain energy theory is also known as
(a) Huber theory
(b) Rankine theory
(c) St.Venant’s theory
(d) None
(Ans: a)
18. Maximum total strain energy is equal to
(a) (σ12 +σ22)/2E
(b) ( σ12 +σ22+ 2µ σ1 σ2)/2E
(c) ( σ12 +σ22— 2µ σ1 σ2)/2E
(d) None
(Ans: c)
19. Maximum total strain energy theory is applicable to
(a) Ductile materials
(b) Brittle materials
(c) Composite materials
(d) None
(Ans: b)
20. Shear strain energy theory is also known as
(a) Huber theory
(b) Rankine theory
(c) Mises-Hencky theory
(d) None
(Ans: c)
21. Shear strain energy theory is also known as
(a) Von Mises Theory
(b) Coulomb’s theory
(c) Rankine theory
(d) None
(Ans: a)
22. Shear strain energy theory is also known as
(a) Coulomb’s theory
(b) Distortion energy theory
(c) Rankine theory
(d) None
(Ans: b)
23. Shear strain energy is equal to
(a) [( σ12 +σ22+ (σ1 + σ2)2]/12E
(b) [( σ12 +σ22 + (σ1 — σ2)2]/12G
(c) [(σ12 +σ22 + (σ1 + σ2)2]/12G
(d) None
(Ans: b)
24. Maximum total strain energy theory is applicable to
(a) Ductile materials
(b) Brittle materials
(c) Composite materials
(d) None
(Ans: a)
25. A ductile material may not meet a failure if it has been tested for the theories of failure
(a) Firstly Maximum Principal Theory
(b) Secondly Maximum Principal Strain Theory
(c) Thirdly Maximum principal strain energy theory
(d) None
ANS: (d)
26. A ductile material may not meet a failure if it has been tested for the theories of failure
(a) Firstly Maximum Shear Stress Theory
(b) Secondly Maximum Shear Strain Energy Theory
(c) Both (a) & (b)
(d) None
ANS: (c)
27. Finding allowable stress after the application of theories of failure ensures
(a) Soundness of design
(b) Lapses in design
(c) Both (a) & (b)
(d) None
ANS: (a)
28. Under complex loading, if elastic limit reaches in tension, then failure occurs due to
(a) Firstly Maximum principal strain theory
(b) Secondly Maximum principal theory of strain energy
(c) Thirdly Maximum shear stress theory
(d) None
ANS: (d)
29. Under complex loading, if elastic limit reaches in tension, then failure occurs due to
(a) Firstly Maximum principal strain theory
(b) Secondly Maximum principal theory of strain energy
(c) Thirdly Maximum Principal stress theory
(d) None
ANS: (c)
30. Under complex or simple loading, strain energy is
(a) External work done
(b) Internal work done
(c) Both internal and external work
(d) None
ANS: (b)
31. Under complex loading, theories of elastic failures ensure
(a) Stability
(b) Instability
(c) Both stability and instability
(d) None
ANS: (a)
32. Under complex loading, theories of elastic failure establishes the
(a) Margin of failure
(b) Margin of safety
(c) Both (a) & (b)
(d) None
ANS: (b)
33. Theories of elastic failure help in the
(a) Material development
(b) Development of method of manufacture
(c) Both (a) & (b)
(d) None
ANS: (c)
34. Theories of elastic failure help to recognize
(a) Weak materials
(b) Strong materials
(c) Both weak and strong materials
(d) None
ANS: (c)
35. Theories of elastic failure is the
(a) Firstly analysis of the various failures
(b) Secondly analysis of the strength of a material
(c) Both (a) & (b)
(d) None
ANS: (c)
36. Theories of elastic failure establishes the
(a) Firstly Reasons of failure
(b) Secondly Reasons of safety
(c) Both (a) & (b)
(d) None
ANS: (c)
37. Theories of elastic failure while dealing with ductile materials consider the failure criterion as
(a) Ultimate stress
(b) Yield stress
(c) Both ultimate and yield stress
(d) None
ANS: (b)
38. Theories of elastic failure while dealing with brittle materials consider the failure criterion as
(a) Ultimate stress
(b) Yield stress
(c) Both ultimate and yield stress
(d) None
ANS: (a)
39. In a brittle material, the strength are
(a) Firstly Ultimate >yield > elastic limit
(b) Secondly Ultimate > yield =elastic limit
(c) Thirdly Ultimate=yield=elastic limit
(d) None
ANS: (c)
40. In a ductile material, the strength are
(a)Firstly Ultimate >yield > elastic limit
(b) Secondly Ultimate > yield =elastic limit
(c) Thirdly Ultimate=yield=elastic limit
(d) None
ANS: (a)
41. Under complex loading, principal stresses exist as
(a) Firstly σ1 > σ2 =σ3
(b) Secondly σ1 = σ2 =σ3
(c) Thirdly σ1 > σ2 < σ3
(d) None
ANS: (d)
42. In a body under hydrostatic pressure, the case exists
(a) Firstly σ1 > σ2 =σ3
(b) Secondly σ1 = σ2 =σ3
(c) Thirdly σ1 > σ2 < σ3
(d) None
ANS: (b)
43. For a homogeneous & isotropic body under hydrostatic pressure, which theory of elastic failure fails
(a) Firstly Maximum Principal Theory
(b) Secondly Maximum Principal strain Theory
(c) Thirdly Maximum Principal Energy Theory
(d) None
ANS: (c)
44. For a homogeneous & isotropic body under hydrostatic pressure, which theory of elastic failure does not fail
(a) Firstly Maximum Principal Theory
(b) Secondly Maximum Shear Stress Theory
(c) Thirdly Maximum Principal Energy Theory
(d) None
ANS: (a)
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