Strength of Materials MCQs

Stress is defined as: a) Force per unit volume b) Force per unit length c) Force per unit area d) Force per unit mass Answer: c) Force per unit area 2. The unit of stress in the SI system is: a) Newton b) Pascal c) Joule d) Watt Answer: b) Pascal 3. Strain is defined as: a) Change in length b) Change in volume c) Change in area d) Ratio of change in length to original length Answer: d) Ratio of change in length to original length 4. The modulus of elasticity is also known as: a) Young’s modulus b) Shear modulus c) Bulk modulus d) Modulus of rigidity Answer: a) Young’s modulus 5. The ratio of lateral strain to longitudinal strain is called: a) Young’s modulus b) Bulk modulus c) Shear modulus d) Poisson’s ratio Answer: d) Poisson’s ratio 6. A material is said to be ductile if it: a) Can be drawn into wires b) Breaks without significant deformation c) Returns to its original shape after deformation d) Has a high modulus of elasticity Answer: a) Can be drawn into wires 7. The point on the stress-strain curve beyond which the material deforms plastically is known as: a) Proportional limit b) Elastic limit c) Yield point d) Ultimate strength Answer: c) Yield point 8. The stress-strain curve for a brittle material is characterized by: a) Long plastic region b) Short plastic region c) High elongation before fracture d) Low elongation before fracture Answer: d) Low elongation before fracture 9. The area under the stress-strain curve represents: a) Strain energy b) Stress energy c) Modulus of elasticity d) Toughness Answer: d) Toughness 10. The resistance of a material to indentation is called: a) Toughness b) Hardness c) Ductility d) Malleability Answer: b) Hardness 11. A beam subjected to bending will experience: a) Tensile stress on both sides b) Compressive stress on both sides c) Tensile stress on one side and compressive stress on the other d) Shear stress only Answer: c) Tensile stress on one side and compressive stress on the other 12. The neutral axis in a beam under bending is the axis: a) Where the bending stress is maximum b) Where the shear stress is maximum c) Which remains unstressed d) Which undergoes maximum strain Answer: c) Which remains unstressed 13. The maximum shear stress in a rectangular cross-section beam occurs at: a) The top surface b) The neutral axis c) The bottom surface d) The centroid Answer: b) The neutral axis 14. The maximum bending moment in a simply supported beam with a uniformly distributed load occurs at: a) The supports b) The mid-span c) One-third of the span d) One-quarter of the span Answer: b) The mid-span 15. The principal planes are the planes on which: a) Shear stress is zero b) Normal stress is zero c) Both shear stress and normal stress are zero d) Normal stress is maximum and shear stress is zero Answer: d) Normal stress is maximum and shear stress is zero 16. A column is said to be slender if its: a) Length is much smaller than its cross-sectional dimensions b) Length is comparable to its cross-sectional dimensions c) Length is much larger than its cross-sectional dimensions d) Length is infinite Answer: c) Length is much larger than its cross-sectional dimensions 17. The critical load for a column depends on: a) Material strength b) Column length c) Moment of inertia of the cross-section d) All of the above Answer: d) All of the above 18. Buckling in a column occurs due to: a) Axial tension b) Axial compression c) Bending moment d) Torsional moment Answer: b) Axial compression 19. Euler’s formula for the critical buckling load is valid for: a) Short columns b) Long columns c) Both short and long columns d) All types of columns Answer: b) Long columns 20. In torsion, the shear stress is directly proportional to: a) Radius of the shaft b) Torque applied c) Polar moment of inertia d) All of the above Answer: b) Torque applied 21. The angle of twist in a circular shaft under torsion is proportional to: a) Shaft length b) Polar moment of inertia c) Shear modulus d) All of the above Answer: a) Shaft length 22. For a material under uniaxial tension, the lateral strain is: a) Equal to the axial strain b) Greater than the axial strain c) Less than the axial strain d) Zero Answer: c) Less than the axial strain 23. In a thin-walled cylindrical pressure vessel, the hoop stress is: a) Equal to the longitudinal stress b) Twice the longitudinal stress c) Half the longitudinal stress d) Zero Answer: b) Twice the longitudinal stress 24. Creep occurs at: a) Low temperatures b) Room temperatures c) Elevated temperatures d) All temperatures Answer: c) Elevated temperatures 25. The phenomenon of sudden failure of a material under cyclic loading is known as: a) Creep b) Fatigue c) Fracture d) Wear Answer: b) Fatigue 26. The endurance limit of a material is: a) The maximum stress it can withstand indefinitely b) The maximum strain it can withstand indefinitely c) The stress at which it fractures d) The stress at which it yields Answer: a) The maximum stress it can withstand indefinitely 27. A material with a high Poisson’s ratio will: a) Have a high lateral expansion b) Have a low lateral expansion c) Be very brittle d) Be very ductile Answer: a) Have a high lateral expansion 28. In a simply supported beam, the point of contraflexure is the point where: a) Bending moment is maximum b) Shear force is maximum c) Bending moment is zero d) Shear force is zero Answer: c) Bending moment is zero 29. The modulus of rigidity (G) is related to the modulus of elasticity (E) and Poisson’s ratio (ν) by the relation: a) 𝐺 = 𝐸 2 ( 1 + 𝜈 ) G= 2(1+ν) E b) 𝐺 = 𝐸 2 ( 1 − 𝜈 ) G= 2(1−ν) E c) 𝐺 = 𝐸 3 ( 1 + 2 𝜈 ) G= 3(1+2ν) E d) 𝐺 = 𝐸 3 ( 1 − 2 𝜈 ) G= 3(1−2ν) E Answer: a) 𝐺 = 𝐸 2 ( 1 + 𝜈 ) G= 2(1+ν) E 30. The strain energy stored in a material per unit volume is called: a) Toughness b) Modulus of resilience c) Proof resilience d) Elastic limit Answer: b) Modulus of resilience 31. The center of gravity of a solid body is the point where: a) The weight of the body acts b) The volume of the body is concentrated c) The area of the body is concentrated d) The mass of the body is concentrated Answer: a) The weight of the body acts 32. The term “modulus of rupture” is used in: a) Bending b) Torsion c) Compression d) Shear Answer: a) Bending 33. In the theory of pure bending, it is assumed that: a) Material is homogeneous and isotropic b) Plane sections remain plane after bending c) Stress is proportional to strain d) All of the above Answer: d) All of the above 34. The ratio of maximum shear stress to average shear stress in a circular section is: a) 2 b) 4/3 c) 3/2 d) 3 Answer: b) 4/3 35. A material is said to be isotropic if its properties are: a) Same in all directions b) Different in different directions c) Same in one direction d) Different in one direction Answer: a) Same in all directions 36. The relation between modulus of elasticity (E), modulus of rigidity (G), and Poisson’s ratio (ν) is: a) 𝐸 = 2 𝐺 ( 1 + 𝜈 ) E=2G(1+ν) b) 𝐸 = 2 𝐺 ( 1 − 𝜈 ) E=2G(1−ν) c) 𝐸 = 3 𝐺 ( 1 + 2 𝜈 ) E=3G(1+2ν) d) 𝐸 = 3 𝐺 ( 1 − 2 𝜈 ) E=3G(1−2ν) Answer: a) 𝐸 = 2 𝐺 ( 1 + 𝜈 ) E=2G(1+ν) 37. The term “elastic limit” refers to: a) Maximum stress a material can withstand without permanent deformation b) Stress at which material fractures c) Stress at which material yields d) Maximum stress a material can withstand without failure Answer: a) Maximum stress a material can withstand without permanent deformation 38. The stress at which a material begins to deform plastically is known as: a) Yield stress b) Ultimate stress c) Breaking stress d) Fatigue stress Answer: a) Yield stress 39. The phenomenon where a material returns to its original shape after the removal of load is called: a) Plastic deformation b) Elastic deformation c) Creep d) Fatigue Answer: b) Elastic deformation 40. The factor of safety is defined as the ratio of: a) Yield stress to working stress b) Ultimate stress to working stress c) Yield stress to ultimate stress d) Working stress to yield stress Answer: b) Ultimate stress to working stress 41. The term “modulus of resilience” is used to describe: a) Energy per unit volume at yield point b) Maximum energy per unit volume c) Energy per unit volume at breaking point d) Total strain energy stored in the material Answer: a) Energy per unit volume at yield point 42. The property of a material by virtue of which it can be beaten or rolled into thin sheets is known as: a) Ductility b) Malleability c) Toughness d) Hardness Answer: b) Malleability 43. In the Mohr’s circle for stress, the diameter of the circle represents: a) Maximum shear stress b) Maximum normal stress c) Average normal stress d) Total strain energy Answer: a) Maximum shear stress 44. The principal stress is the maximum or minimum value of: a) Normal stress b) Shear stress c) Bending stress d) Torsional stress Answer: a) Normal stress 45. The moment of inertia of a rectangular section (b x h) about its centroidal axis is: a) 𝑏 ℎ 3 12 12 bh 3 b) 𝑏 ℎ 3 3 3 bh 3 c) 𝑏 ℎ 3 6 6 bh 3 d) 𝑏 ℎ 3 8 8 bh 3 Answer: a) 𝑏 ℎ 3 12 12 bh 3 46. The term “shear center” refers to the point: a) Where the shear force acts b) Where the bending moment is zero c) Where the load can be applied without causing twisting d) Where the shear stress is zero Answer: c) Where the load can be applied without causing twisting 47. The radius of gyration of a section is given by: a) 𝐼 𝐴 A I b) 𝐼 𝐴 A I c) 𝐴 𝐼 I A d) 𝐴 𝐼 I A Answer: a) 𝐼 𝐴 A I 48. The concept of equivalent bending moment is used in the analysis of: a) Pure bending b) Combined bending and torsion c) Shear and bending d) Axial and shear Answer: b) Combined bending and torsion 49. The term “strain hardening” refers to: a) Increase in hardness due to plastic deformation b) Decrease in hardness due to plastic deformation c) Increase in ductility due to plastic deformation d) Decrease in ductility due to plastic deformation Answer: a) Increase in hardness due to plastic deformation 50. The maximum load that a material can withstand without failure when a load is suddenly applied is called: a) Impact strength b) Fatigue strength c) Endurance limit d) Proof stress Answer: a) Impact strength

Strength of Materials MCQs

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