Strength of Material

1. Limiting values of Poisson's ratio are :

a) -1 and 0.5
b) -1 and -0.5
c) 1 and -0.5
d) 0 and 0.5

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2. Proof resilience is the maximum energy stored at:

a) Limit of proportionality
b) Elastic limit
c) Plastic limit
d) None of these

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3.The specimen in a Charpy impact test is supported as a :

a) Cantilever beam
b) Simply supported beam
c) Fixed beam
d) Continuous beam

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4. The limit of Poisson's ratio is

a) 0.25
b) 0.15
c) 0.50
d) 0.65

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5. A square block is subjected to a state of simple shear. The linear strain of the diagonal shall be equal to :

a) Two times the shear strain
b) The shear strain
c) Half the shear strain
d) One-fourth the shear strain

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6. The relation between Young's modulus (E) and modulus of rigidity (N). is given as

a) E = 3N(1 + μ)
b) E = 2N(1 - μ)
c) E = 2N(1 + μ)
d) E = 3N(1 - 2μ)

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7. If 'P' is the tensile stress in a rectangular bar of length 'L' with 'b' and thickness 'd', the volumetric strain is given as :

a) P(1 + 2μ)/E
b) PL (1 - 2μ)/bd
c) P(1 - 2μ)
d) P(1 - 2μ)/E

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8. The property of a material by which it can be drawn into smaller section by application of tension is called

a) Plasticity
b) Ductility
c) Elasticity
d) Malleability

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9. Every material obeys Hooke's laws within its:

a) Elastic limit
b) Plastic limit
c) Limit of proportionality
d) None of these

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10. If a uniform bar is supported at one end in a vertical direction and loaded at the bottom end by a load equal to the weight of the bar, the strain energy as compared to that due to self weight will be:

a) Same
b) Half
c) Twice
d) (d) Thricoe

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11. The relation between young's modulus(E) and modulus of rigidity(N) is given as:

a) E = 2N (1 + $\raisebox{1ex}{$\frac{1^{\mathrm{}}}{m^{\mathrm{}}}$}\!\left/ \!\raisebox{-1ex}{$$}\right.$)

b) E = 2N (1 - $\raisebox{1ex}{$\frac{1^{\mathrm{}}}{m^{\mathrm{}}}$}\!\left/ \!\raisebox{-1ex}{$$}\right.$)

c) None of these

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12. The % of elongation of the piece under tension indicates its:

a) Brittleness
b) Malleability
c) Stiffness
d) Ductility

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13. The ratio between stress and strain is called

a) Modulus of elasticity
b) Modulus of rigidity
c) Bulk modulus
d) None of these

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14. Ductility of which of the following is the maximum?

a) Mild Steel
b) Cast iron
c) Wrought iron
d) Pig iron

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15. Strain energy stored in a solid is given as :

a) σ x ε x volume
b) σ x ε x area of cross section
c) 0.5 x σ x ε x l
d) 0.5 x σ x ε x volume

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16. The modulus of elasticity of steel is :

a) 2 x 10⁴ MPa
b) 1.2 x 10⁵ MPa
c) 2 x 10⁵ MPa
d) 2 x 10³ MPa

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17. The relation between Young's modulus, E, shear modulus G, and Poisson's ratio, V is given by:

a) G = $\raisebox{1ex}{$\frac{E^{\mathrm{}}}{{\mathrm{2(1\; +\; V)}}^{\mathrm{}}}$}\!\left/ \!\raisebox{-1ex}{$$}\right.$

b) E = $\raisebox{1ex}{$\frac{G^{\mathrm{}}}{{\mathrm{2(1\; +\; V)}}^{\mathrm{}}}$}\!\left/ \!\raisebox{-1ex}{$$}\right.$

c) G = $\raisebox{1ex}{$\frac{E^{\mathrm{}}}{{\mathrm{2(1\; -\; V)}}^{\mathrm{}}}$}\!\left/ \!\raisebox{-1ex}{$$}\right.$

d) E = $\raisebox{1ex}{$\frac{G^{\mathrm{}}}{{\mathrm{2(1\; +\; V)}}^{\mathrm{}}}$}\!\left/ \!\raisebox{-1ex}{$$}\right.$

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18. The maximum numerical value of Poisson's ratio is:

a) 0
b) 0.25
c) 0.50
d) 1

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19. Identify the erroneous statement, mild steel :

a) Has two yield points.
b) ls a ductile material
c) Has small percent elongation at failure
d) Shows strain hardening

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20. The modulus of elasticity of steel is-ore than of concrete· It indicates that steel is.

a) Less elastic
b) More elastic
c) More plastic
d) Less plastic

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21. The working stress of a material is expected to be

a) Equal to ultimate stress
b) Equal to yield stress
c) Less than yield stress
d) More than yield stress

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22. A material is called ductile if it:

a) Has little plastic elongation range
b) Has long plastic elongation range
c) Could be hammered into a very thin sheet
d) Shows large elastic strain

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23. Poisson's ratio is defined as:

a) Longitudinal strain / lateral strain
b) Lateral strain / longitudinal strain
c) Lateral strain x longitudinal strain
d) 1/2 (Lateral strain / longitudinal strain)

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24. The ratio of normal stress to volumetric strain is defined as:

a) Young's modulus
b) Bulk modulus
c) Rigidity modulus
d) Tangent modulus

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25. Modulus of rigidity is expressed as:

a) Compressive stress / Compressive strain
b) Tensile stress / shear strain
c) Shear stress / shear strain
d) Stress / volumetric strain

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26. The ability of a material to absorb strain energy till the elastic limit is known as:

a) Resilience
b) Ductility
c) Elasticity
d) Malleability

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27. Which of following is least elastic?

a) Silver
b) Rubber
c) Iron
d) Copper

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28. A bar, L meter long and having its area of cross-section A, is subjected to gradually applied tensile load W. The strain energy stored in the bar is given by:

a) W²L / AE
b) W²L / 2AE
c) WL / 2AE
d) WL / AE

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29. Hooke's law is valid up to:

a) Limit of proportionality
b) ultimate point
c) Elastic limit
d) Yield point

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30. For a beam caarying a uniformly distributed load, the strain energy will be maximum in case the beam is:

a) Propped cantilever
b) Fixed at both ends
c) Cantilever
d) Simply supported

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31. The ability of a material to absorb energy till the breaking or rupture takes place is known as:

a) Hardness
b) Toughness
c) Brittleness
d) Softness

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32. Which of the following is a dimensionless quantity?

a) Shear Force
b) Stress
c) Strain
d) Modulus of elasticity

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33. The ratio of normal stress to normal strain within elastic limit is called

a) Young's modulus
b) Shear modulus
c) Poisson ratio
d) Bulk modulus

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34. The property of a material by which it gets permanent deformation under a load which isnot recovered after removal of load is called:

a) Elasticity
b) Plasticity
c) Brittleness
d) Ductility

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35. A linear force-deformation relation is obtained in materials:

a) Having elastic stress-strain Property.
b) Having plastic stress-strain Property.
c) Following Hooke's law
d) Which are rigid elastic materials

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36. The Property of a material by which it can be beaten or rolled into plates, is called:

a) Malleability
b) Ductility
c) Elasticity
d) Plasticity

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37. Strain energy due to sudden axial load is given by

a)
b)
c)
d)

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38. Total number of elastic constant of an isotropic material are

a) 9
b) 2
c) 3
d) 21

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39. Creep of a material is

a) Not being ductile
b) To become brittle
c) Continued deformation with time under sustained loading
d) Disappearance of deformation on removal of load

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40. Which of the following is a relatively ductile material ?

a) Mild Steel
b) Cast iron
c) Bronze
d) High carbon steel

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41. In Brinell hardness test, the type of indentor used is

a) Mild steel ball
b) Diamond cone
c) Hard steel cone
d) Hard steel ball

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