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Strength of Materials Quiz

Total questions: 133

Worksheet time: 2hrs 40mins

Name
Class
Date
1.

Lateral strain is defined as:

a)

Change in length / Original length

b)

Change in diameter / Original diameter

c)

Change in volume / Original volume

d)

Load / Area

2.

Poisson's ratio is the ratio of:

a)

Axial strain to lateral strain

b)

Stress to strain

c)

Lateral strain to axial strain

d)

Axial stress to axial strain

3.

Which of the following is unitless?

a)

Bulk modulus

b)

Stress

c)

Poisson's ratio

d)

Strain energy

4.

Volumetric strain is the:

a)

Ratio of original volume to change in volume

b)

Change in volume

c)

Ratio of change in volume to original volume

d)

None of the above

5.

Bulk modulus is related to:

a)

Linear strain

b)

Lateral strain

c)

Volumetric strain

d)

Thermal strain

6.

Which of the following expresses bulk modulus (K)?

a)

K = stress / linear strain

b)

K = pressure / volumetric strain

c)

K = load / area

d)

K = volume / pressure

7.

The reciprocal of bulk modulus is called:

a)

Rigidity modulus

b)

Modulus of elasticity

c)

Compressibility

d)

Stiffness

8.

Which of the following statements about Poisson’s ratio is correct?

a)

It has SI unit of Pa

b)

It is always greater than 1

c)

It is a dimensionless quantity

d)

It is defined only for gases

9.

A material with zero lateral strain has Poisson’s ratio equal to:

a)

0

b)

0.5

c)

1

d)

Infinity

10.

Poisson’s ratio cannot be greater than:

a)

0.1

b)

0.5

c)

1

d)

2

11.

If a body does not change in volume under stress, the Poisson’s ratio is:

a)

0

b)

0.25

c)

0.33

d)

0.5

12.

Strain is defined as:

a)

Stress × length

b)

Load / Area

c)

Change in dimension / Original dimension

d)

Pressure × Volume

13.

Elastic constants relate:

a)

Stress and energy

b)

Force and displacement

c)

Stress and strain

d)

Area and length

14.

Which is NOT an elastic constant?

a)

Young’s modulus

b)

Shear modulus

c)

Bulk modulus

d)

Stress modulus

15.

Which of the following is the ratio of shear stress to shear strain?

a)

Bulk modulus

b)

Young’s modulus

c)

Rigidity modulus

d)

Poisson’s ratio

16.

Young’s modulus is the ratio of:

a)

Axial stress to axial strain

b)

Shear stress to axial strain

c)

Axial strain to stress

d)

Load to pressure

17.

Poisson's ratio is negative when:

a)

Material is isotropic

b)

Axial strain is zero

c)

Lateral strain is positive

d)

Lateral strain is negative and axial strain is positive

18.

What is the typical range for Poisson’s ratio for most engineering materials?

a)

0.1 to 0.3

b)

0.5 to 1.0

c)

1.0 to 2.0

d)

0 to 10

19.

A rubber has a Poisson’s ratio closer to:

a)

0.1

b)

0.25

c)

0.4

d)

0.5

20.

Volumetric strain is maximum when:

a)

Poisson's ratio is 0

b)

Poisson's ratio is 0.5

c)

Poisson's ratio is 1

d)

Young’s modulus is zero

21.

The dimensional formula of bulk modulus is same as:

a)

Pressure

b)

Strain

c)

Volume

d)

Velocity

22.

The unit of bulk modulus is:

a)

N/m

b)

N/m²

c)

m²/N

d)

m/N

23.

Volumetric strain of a cylinder under axial load depends on:

a)

Diameter

b)

Poisson's ratio

c)

Length

d)

Cross-section

24.

Volumetric strain in a rectangular bar can be approximated using:

a)

εx + εy + εz

b)

εx × εy × εz

c)

(εx - εy)

d)

None of the above

25.

Lateral strain is zero in a:

a)

Free body

b)

Confined body

c)

Body under uniform pressure

d)

Rigid body

26.

Elastic constants are valid only within:

a)

Plastic limit

b)

Yield point

c)

Elastic limit

d)

Failure point

27.

Poisson's ratio for cork is approximately:

a)

0.0

b)

0.2

c)

0.5

d)

1.0

28.

An ideal incompressible material has Poisson’s ratio of:

a)

0

b)

0.25

c)

0.33

d)

0.5

29.

In an isotropic material, the properties are:

a)

Same in all directions

b)

Different in all directions

c)

Only applicable in vertical direction

d)

None of the above

30.

Poisson’s ratio relates:

a)

Shear stress and strain

b)

Tensile stress and compressive stress

c)

Axial and lateral strain

d)

None of these

31.

The range of Poisson’s ratio for stable, isotropic materials is:

a)

-1 to 0

b)

0 to 0.25

c)

0 to 0.5

d)

0.5 to 1

32.

Which property indicates material resistance to volume change?

a)

Young’s modulus

b)

Bulk modulus

c)

Shear modulus

d)

Thermal coefficient

33.

Poisson’s ratio is applicable only in:

a)

Isotropic and homogeneous materials

b)

Liquids only

c)

Non-elastic materials

d)

Anisotropic materials only

34.

A bar of 2 m length stretches by 1 mm under axial load. What is the linear strain?

a)

0.005

b)

0.0005

c)

0.00005

d)

0.05

35.

A bar with original diameter 20 mm reduces to 19.9 mm. What is lateral strain?

a)

0.005

b)

0.01

c)

0.005

d)

0.005

36.

If axial strain = 0.002 and Poisson's ratio = 0.3, then lateral strain is:

a)

0.0006

b)

0.006

c)

0.3

d)

0.002

37.

A steel rod is 1000 mm long and elongates 2 mm under tension. Find axial strain.

a)

0.002

b)

0.0002

c)

0.02

d)

2

38.

A cube has axial strain of 0.001 and Poisson's ratio 0.25. Find volumetric strain.

a)

0.001

b)

0.0005

c)

0.00075

d)

0.002

39.

If Poisson's ratio = 0.25 and Young’s modulus = 200 GPa, what is bulk modulus?

a)

100 GPa

b)

133.3 GPa

c)

160 GPa

d)

120 GPa

40.

A material with bulk modulus 100 GPa undergoes 0.002 volumetric strain. Pressure is:

a)

200 MPa

b)

100 MPa

c)

300 MPa

d)

250 MPa

41.

Axial strain = 0.002, Poisson’s ratio = 0.4, find lateral strain.

a)

0.0008

b)

0.0004

c)

0.0002

d)

0.001

42.

A cylinder has diameter 50 mm and axial strain = 0.001. If μ = 0.3, what is change in diameter?

a)

0.015 mm

b)

0.03 mm

c)

0.0075 mm

d)

0.045 mm

43.

A rectangular bar of 100 mm × 50 mm area stretches by 1 mm under 10 kN load. Find stress.

a)

100 MPa

b)

50 MPa

c)

200 MPa

d)

2 MPa

44.

A rectangular bar of 100 mm × 50 mm area stretches by 1 mm under 10 kN load. Find stress.

a)

100 MPa

b)

50 MPa

c)

200 MPa

d)

2 MPa

45.

Volumetric strain in a circular bar under axial loading depends on:

a)

Radius only

b)

Poisson’s ratio and axial strain

c)

Young’s modulus

d)

Cross-sectional area

46.

A steel bar experiences linear strain of 0.001 and μ = 0.25. Find volumetric strain.

a)

0.00075

b)

0.0005

c)

0.0015

d)

0.002

47.

The formula to calculate volumetric strain for uniaxial stress is:

a)

ε(1 + μ)

b)

ε(1 – 2μ)

c)

ε(2 – μ)

d)

ε/μ

48.

If Young’s modulus is 210 GPa and μ = 0.3, the bulk modulus is:

a)

175 GPa

b)

100 GPa

c)

140 GPa

d)

130 GPa

49.

Change in volume = 0.5 cm³, original volume = 100 cm³. Volumetric strain = ?

a)

0.05

b)

0.005

c)

0.0005

d)

5

50.

If a rectangular bar of 150 mm × 100 mm elongates 1 mm, the axial strain is:

a)

0.001

b)

0.01

c)

0.0005

d)

0.005

51.

A tensile test produces a lateral strain of 0.001 and axial strain of 0.004. Find μ.

a)

0.1

b)

0.4

c)

0.25

d)

0.2

52.

Volumetric strain in a circular rod can be calculated using:

a)

εx × εy × εz

b)

ε(1 – 2μ)

c)

3ε

d)

ε²

53.

A rod elongates by 0.5 mm over 500 mm. What is linear strain?

a)

0.0005

b)

0.005

c)

0.001

d)

0.05

54.

If volumetric strain = 0.002 and K = 150 GPa, pressure is:

a)

150 MPa

b)

300 MPa

c)

0.3 MPa

d)

200 MPa

55.

In a bar under uniaxial tension, volumetric strain = ?

a)

2 × ε

b)

1 – 2μ

c)

ε(1 – 2μ)

d)

ε / μ

56.

Which formula is used to find lateral strain from Poisson’s ratio?

a)

ε × μ

b)

ε / μ

c)

μ – ε

d)

ε × μ²

57.

A circular bar is 600 mm long and undergoes 0.6 mm extension. Axial strain = ?

a)

0.001

b)

0.006

c)

0.0001

d)

0.01

58.

Volumetric strain is the sum of three:

a)

Shear strains

b)

Normal stresses

c)

Normal strains

d)

Axial forces

59.

A cube of 100 mm sides compresses equally from all sides by 0.1 mm. Volume strain = ?

a)

0.001

b)

0.003

c)

0.01

d)

0.0003

60.

Which of these parameters influences volumetric deformation most?

a)

Length

b)

Shear stress

c)

Poisson’s ratio

d)

Weight

61.

Under same load, which shape shows more volumetric strain:

a)

Square bar

b)

Thin cylindrical bar

c)

Thick rectangular bar

d)

Hollow sphere

62.

A cylinder contracts in diameter by 0.2 mm under axial tensile force. If original diameter is 40 mm, lateral strain is:

a)

0.005

b)

0.002

c)

0.004

d)

0.01

63.

If a bar has axial strain of 0.004 and Poisson’s ratio 0.25, the volumetric strain is:

a)

0.002

b)

0.003

c)

0.001

d)

0.004

64.

A material with Poisson’s ratio = 0.5 shows what kind of volumetric strain under axial load?

a)

Maximum

b)

Zero

c)

Infinite

d)

Minimum

65.

A bar elongates by 0.5 mm and reduces in diameter by 0.05 mm. If original length = 500 mm and diameter = 25 mm, Poisson’s ratio is:

a)

0.25

b)

0.2

c)

0.05

d)

0.1

66.

Which of the following is required to calculate bulk modulus?

a)

Axial strain

b)

Lateral strain

c)

Volumetric strain

d)

Modulus of rigidity

67.

A circular rod is stretched such that its diameter reduces by 2%. The lateral strain is:

a)

0.02

b)

0.002

c)

2

d)

0.2

68.

If axial strain = 0.003 and lateral strain = 0.0009, what is Poisson’s ratio?

a)

0.3

b)

0.27

c)

0.25

d)

0.15

69.

Under equal tensile stress in all directions, volumetric strain is:

a)

Zero

b)

Sum of three normal strains

c)

Difference of lateral and axial strain

d)

Equal to Poisson’s ratio

70.

If a cube is compressed from all sides equally, which strain develops?

a)

Shear

b)

Volumetric

c)

Torsional

d)

Bending

71.

For a given volumetric strain and pressure, bulk modulus is:

a)

Directly proportional to strain

b)

Independent of strain

c)

Inversely proportional to strain

d)

Proportional to stress

72.

A material with high Poisson’s ratio shows:

a)

Less lateral contraction

b)

More lateral contraction

c)

No volume change

d)

No strain

73.

Poisson’s ratio helps calculate:

a)

Modulus of rigidity

b)

Lateral strain

c)

Stress

d)

Shear strain

74.

The increase in volume under axial stress is least when Poisson’s ratio is:

a)

0.3

b)

0.5

c)

0.1

d)

0.2

75.

If Poisson’s ratio = 0, what is volumetric strain under axial strain = 0.002?

a)

0.002

b)

0

c)

0.001

d)

0.004

76.

The relationship between E, G, and μ is:

a)

E = 2G(1 – μ)

b)

E = G(1 – 2μ)

c)

E = G(1 + μ)

d)

E = 3G(1 – 2μ)

77.

A circular rod has diameter 30 mm, reduces by 0.3 mm under load. Lateral strain = ?

a)

0.01

b)

0.001

c)

0.1

d)

0.003

78.

If axial strain = 0.006, μ = 0.25, volumetric strain = ?

a)

0.0045

b)

0.006

c)

0.003

d)

0.0015

79.

What causes volume to increase in a circular rod under tension?

a)

Lateral stress

b)

Bending

c)

Axial elongation and lateral contraction

d)

Torsion

80.

A material’s resistance to compressive volumetric deformation is measured by:

a)

Young’s modulus

b)

Poisson’s ratio

c)

Bulk modulus

d)

Shear modulus

81.

A decrease in cross-sectional area due to axial load is due to:

a)

Elastic limit

b)

Poisson’s effect

c)

Yielding

d)

Shear

82.

Which of the following increases volumetric strain under tension?

a)

Higher modulus of elasticity

b)

Lower Poisson’s ratio

c)

Higher Poisson’s ratio

d)

Larger diameter

83.

For maximum volumetric strain in a rectangular bar, which should be minimized?

a)

Poisson’s ratio

b)

Young’s modulus

c)

Bulk modulus

d)

Shear modulus

84.

Energy required to initiate yielding

4 lines
85.

Modulus of resilience is:

a)

Ultimate energy stored

b)

Energy stored per unit volume within elastic limit

c)

Stress × strain at fracture

d)

Energy absorbed after yielding

86.

SI unit of strain energy is:

a)

N

b)

J

c)

N/m

d)

J/m³

87.

SI unit of modulus of resilience is:

a)

J/m

b)

N/m²

c)

J/m³

d)

N

88.

Proof resilience is:

a)

Strain energy at fracture

b)

Energy absorbed beyond yield point

c)

Maximum energy stored without permanent deformation

d)

Elastic modulus × strain

89.

Which of the following stores maximum strain energy for the same stress?

a)

Brittle material

b)

Ductile material

c)

Rubber

d)

Steel

90.

Instantaneous stress refers to:

a)

Static load stress

b)

Gradual load stress

c)

Sudden applied load stress

d)

Residual stress

91.

Impact loading causes:

a)

Static stress

b)

Stress equal to static load

c)

Greater stress than static loading

d)

No stress

92.

Strain energy in a bar due to axial load (U) is given by:

4 lines
93.

In axial loading, strain energy stored per unit volume is called:

a)

Elastic constant

b)

Resilience

c)

Stress

d)

Toughness

94.

When a load is applied suddenly, the induced stress is:

a)

Same as static stress

b)

Half of static stress

c)

Twice the static stress

d)

Zero

95.

Modulus of resilience depends on:

a)

Yield strength and Young's modulus

b)

Ultimate strength

c)

Poisson’s ratio

d)

Fracture point

96.

A bar stores strain energy in:

a)

Plastic range

b)

Fracture point

c)

Elastic range

d)

Creep range

97.

When stress is removed, the stored strain energy:

a)

Becomes zero

b)

Converts to heat

c)

Is recovered

d)

Is lost permanently

98.

Impact load is applied:

a)

Gradually

b)

Suddenly with velocity

c)

Slowly with static force

d)

Under equilibrium

99.

Sudden loading induces:

a)

Yield stress

b)

Twice the deformation

c)

Instantaneous strain

d)

Double stress of gradual load

100.

Work done by load in sudden loading is:

a)

Equal to strain energy

b)

Half of strain energy

c)

Zero

d)

Twice of strain energy

101.

Which energy is used to calculate resilience?

a)

Kinetic

b)

Strain

c)

Potential

d)

Impact

102.

Stress from sudden load is:

a)

σ

b)

2σ

c)

σ/2

d)

0

103.

Modulus of resilience formula is:

4 lines
104.

The resilience of a material is important when:

a)

Load is static

b)

Material fails by creep

c)

Load is sudden or impact

d)

Corrosion occurs

105.

Modulus of resilience has the same unit as:

a)

Stress

b)

Strain

c)

Energy

d)

Energy per unit volume

106.

Which is not related to resilience?

a)

Young’s modulus

b)

Yield stress

c)

Poisson’s ratio

d)

Elastic strain energy

107.

Impact energy is:

a)

Work done in breaking specimen under impact

b)

Elastic energy

c)

Static energy

d)

None

108.

Area under stress-strain curve up to yield point represents:

a)

Toughness

b)

Resilience

c)

Proof resilience

d)

Modulus of toughness

109.

A bar of area 100 mm², length 1 m, subjected to 10 kN axial load. Strain energy = ?

4 lines
110.

A rod has E = 200 GPa, yield stress = 250 MPa. Modulus of resilience = ?

4 lines
111.

A load of 500 N is dropped from 20 mm on a rod. What type of loading is it?

a)

Gradual

b)

Sudden

c)

Impact

d)

None

112.

In impact loading, stress is calculated using:

a)

σ = P/A

b)

σ = (P/A) × √(1 + 2hδ/e)

c)

σ = Eε

d)

σ = (M/I)y

113.

Strain energy per unit volume for axial loading:

a)

σ/E

b)

σ²/E

c)

σ²/2E

d)

Eσ²

114.

When a load falls from height h on a bar, stress induced is:

a)

Less than gradual

b)

Equal to gradual

c)

More than gradual

d)

Zero

115.

Sudden loading causes ______ deformation compared to gradual.

a)

Half

b)

Same

c)

Double

d)

Triple

116.

Which material shows high resilience?

a)

Cast iron

b)

Rubber

c)

Wood

d)

Concrete

117.

A rod stores 2 J strain energy under elastic limit. If volume = 1000 cm³, modulus of resilience = ?

4 lines
118.

Sudden load of 1000 N on a bar induces stress = ? (Given static = 10 MPa)

4 lines
119.

Which parameter affects impact stress most?

a)

Area

b)

E

c)

Height of drop

d)

Length

120.

Instantaneous stress is:

a)

Caused by thermal load

b)

Always compressive

c)

Stress from rapid load

d)

Residual stress

121.

A load falling from 10 cm on bar elongates by 2 mm. Instantaneous stress = ?

4 lines
122.

Modulus of resilience = ? (E = 200 GPa, σy = 300 MPa)

4 lines
123.

Toughness is different from resilience because:

a)

Includes elastic + plastic energy

b)

Only in brittle materials

c)

Only in creep

d)

Measured in N

124.

A material fails under impact if:

a)

Resilience is high

b)

Resilience is low

c)

Toughness is high

d)

Static strength is high

125.

Unit of strain energy density:

a)

N

b)

J

c)

J/m³

d)

N/mm

126.

Sudden and impact loading is calculated using:

a)

Static formulas

b)

Kinetic energy

c)

Strain energy balance

d)

Pressure formula

127.

Strain energy is maximum when:

a)

E is low

b)

Yield stress is high

c)

Cross-section is large

d)

Volume is zero

128.

Bar of 2 m stores 5 J strain energy. Length is doubled. New energy?

a)

2.5 J

b)

10 J

c)

20 J

d)

5 J

129.

In impact, deformation depends on:

a)

Area

b)

Velocity

c)

Strain

d)

Load only

130.

When bar returns to original shape after impact, it means:

a)

Plastic deformation

b)

Fracture

c)

Elastic behavior

d)

Failure

131.

For energy storage capacity, which matters more?

a)

Mass

b)

Density

c)

Area

d)

Volume

132.

Elastic strain energy is stored up to:

a)

Fracture

b)

Yield

c)

Ultimate

d)

Plastic

133.

Resilience is useful in:

a)

Bridges

b)

Columns

c)

Springs

d)

Concrete

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