A vertical column has two moments of inertia (i.e. and ). The column will tend to buckle in the direction of the

perpendicular to the axis of load

134 + Mcqs in Strength Of Materials in Mechanical Engineering Page 2 McqOptions

51.	The rectangular beam ' ' has length , width and depth . Another beam '' has the same width and depth but length is double that of ''. The elastic strength of beam '' will be __________ as compared to beam .
A.	same
B.	one-half
C.	one-fourth
D.	one-eighth
Answer» C. one-fourth

Discussion

52.	A simply supported beam with a gradually varying load from zero at and per unit length at is shown in the below figure. The shear force at is equal to
A.	/6
B.	/3
C.	2
D.	/3
Answer» B. /3

Discussion

53.	According to Euler's column theory, the crippling load of a column is given by = π / In this equation, the value of for a column with both ends hinged, is
A.	1/4
B.	1/2
C.	1
D.	2
Answer» D. 2

Discussion

54.	A simply supported beam '' of length , breadth , and depth carries a central point load . Another beam '' has the same length and depth but its breadth is doubled. The deflection of beam '' will be __________ as compared to beam ''.
A.	one-fourth
B.	one-half
C.	double
D.	four times
Answer» C. double

Discussion

55.	In the below figure, curve represents mild steel.
A.	Yes
B.	No
Answer» B. No

Discussion

56.	The shear force at the centre of a simply supported beam with a gradually varying load from zero at both ends to per metre at the centre, is
A.	zero
B.	/4
C.	/2
D.	/2
Answer» B. /4

Discussion

57.	According to Unwin's formula, the relation between diameter of rivet hole () and thickness of plate () is given by (where and are in mm)
A.	=
B.	= 1.6
C.	= 2
D.	= 6
Answer» E.

Discussion

58.	The bending moment of a cantilever beam of length and carrying a uniformly distributed load of per unit length is __________ at the fixed end.
A.	/4
B.	/2
C.	/2
Answer» E.

Discussion

59.	Two shafts '' and '' are made of same material. The shaft '' is of diameter and shaft '' is of diameter /2. The strength of shaft '' is __________ as that of shaft ''
A.	one-eighth
B.	one-fourth
C.	one-half
D.	four times
Answer» B. one-fourth

Discussion

60.	In a stress-strain diagram as shown in the below figure, the curve represents
A.	mild steel
B.	soft brass
C.	low carbon steel
D.	cold rolled steel
Answer» C. low carbon steel

Discussion

61.	A rectangular beam of length supported at its two ends carries a central point load . The maximum deflection occurs
A.	at the ends
B.	at
C.	/3 from both ends
D.	at the centre
E.	none of these
Answer» D. at the centre

Discussion

62.	In a thin cylindrical shell subjected to an internal pressure , the ratio of longitudinal stress to the hoop stress is
A.	1/2
B.	3/4
C.	1
D.	1.5
Answer» B. 3/4

Discussion

63.	The bending moment of a cantilever beam of length and carrying a uniformly distributed load of per unit length is __________ at the free end.
A.	zero
B.	/4
C.	/2
Answer» B. /4

Discussion

64.	The shear force of a cantilever beam of length carrying a uniformly distributed load of per unit length is __________ at the free end.
A.	zero
B.	/4
C.	/2
Answer» B. /4

Discussion

65.	The extension of a circular bar tapering uniformly from diameter at one end to diameter at the other end, and subjected to an axial pull of is __________ the extension of a circular bar of diameter subjected to the same load .
A.	equal to
B.	less than
C.	greater than
Answer» B. less than

Discussion

66.	The limit of eccentricity for no tensile conditions for a column of circular section of diameter () is
A.	/4
B.	/8
C.	/12
D.	/16
Answer» C. /12

Discussion

67.	If percentage elongation of a certain specimen made of a material '' under tensile test is 30% and the percentage elongation of a specimen with same dimensions made of another material '' is 40%, then material '' is more ductile than material ''.
A.	Correct
B.	Incorrect
Answer» B. Incorrect

Discussion

68.	The shear force diagram of a cantilever beam of length and carrying a uniformly distributed load of per unit length will be
A.	a right angled triangle
B.	an issoscles triangle
C.	an equilateral triangle
D.	a rectangle
Answer» B. an issoscles triangle

Discussion

69.	Two solid shafts '' and '' are made of the same material. The shaft '' is of 50 mm diameter and shaft '' is of 100 mm diameter. The strength of shaft '' is __________ as that of shaft .
A.	one-half
B.	double
C.	four times
D.	eight times
Answer» E.

Discussion

70.	The strain energy stored in a hollow circular shaft of outer diameter () and inner diameter () subjected to shear stress is
A.	x Volume of shaft
B.	x Volume of shaft
C.	x Volume of shaft
D.	x Volume of shaft
Answer» E.

Discussion

71.	The section modulus () of a beam is given by
A.	/
B.	.
C.	/
D.	/
Answer» B. .

Discussion

72.	The shear force of a cantilever beam of length and carrying a gradually varying load from zero at the free end and per unit length at the fixed end is __________ at the fixed end.
A.	zero
B.	/4
C.	/2
Answer» D.

Discussion

73.	According to Euler's column theory, the crippling load of a column is given by = π /. In the Euler's formula, the value of for a column with both ends fixed is 4.
A.	Agree
B.	Disagree
Answer» C.

Discussion

74.	A simply supported beam '' of length , breadth and depth carries a central point load . Another bream '' has the same length and breadth but its depth is doubled. The deflection of beam '' will be double as compared to beam ''.
A.	Correct
B.	Incorrect
Answer» C.

Discussion

75.	The product of Young's modulus () and moment of inertia () is known as
A.	modulus of rigidity
B.	bulk modulus
C.	flexural rigidity
D.	torsional rigidity
Answer» D. torsional rigidity

Discussion

76.	The maximum bending moment of a simply supported beam of span and carrying a point load at the centre of beam, is
A.	/4
B.	/2
C.	/4
Answer» B. /2

Discussion

77.	The maximum shear stress in a thin spherical shell subjected to an internal pressure () is zero.
A.	Yes
B.	No
Answer» B. No

Discussion

78.	The shear force of a cantilever beam of length carrying a uniformly distributed load of per unit length is __________ at the fixed end.
A.	zero
B.	/4
C.	/2
Answer» E.

Discussion

79.	A column of length () with both ends fixed may be considered as equivalent to a column of length __________ with one end fixed and the other end free.
A.	/8
B.	/4
C.	/2
Answer» C. /2

Discussion

80.	The values of equivalent length () and actual length () of a column for both ends hinged is the same
A.	Yes
B.	No
Answer» B. No

Discussion

81.	Two closely-coiled helical springs '' and '' are equal in all respects but the number of turns of spring '' is double that of spring ''. The stiffness of spring '' will be __________ that of spring ''.
A.	one-sixteenth
B.	one-eighth
C.	one-fourth
D.	one-half
Answer» E.

Discussion

82.	A thin cylindrical shell of diameter (), length () and thickness ()is subjected to an internal pressure (). The hoop stress in the shell is
A.	/
B.	/2
C.	/4
D.	/6
Answer» C. /4

Discussion

83.	A vertical column has two moments of inertia (i.e. and ). The column will tend to buckle in the direction of the
A.	axis of load
B.	perpendicular to the axis of load
C.	maximum moment of inertia
D.	minimum moment of inertia
Answer» E.

Discussion

84.	The rectangular beam '' has length , width and depth . Another beam '' has the same length and depth but width is double that of ''. The elastic strength of beam '' will be __________ as compared to beam .
A.	same
B.	double
C.	four times
D.	six times
Answer» C. four times

Discussion

85.	The strain energy stored in a solid circular shaft subjected to shear stress (τ) is (where = Modulus of rigidity for the shaft material)
A.	x Volume of shaft
B.	x Volume of shaft
C.	x Volume of shaft
D.	x Volume of shaft
Answer» E.

Discussion

86.	For a beam, as shown in the below figure, the maximum deflection is .
A.	True
B.	False
Answer» C.

Discussion

87.	The maximum diameter of the hole that can be punched from a plate of maximum shear stress 1/4 of its maximum crushing stress of punch, is equal to (where = Thickness of the plate)
A.	2
B.	4
C.	8
Answer» D.

Discussion

88.	Two closely coiled helical springs '' and '' are equal in all respects but the number of turns of spring '' is half that of spring '' The ratio of deflections in spring '' to spring '' is
A.	1/8
B.	1/4
C.	1/2
D.	2
Answer» D. 2

Discussion

89.	The simply supported beam '' of length carries a central point load . Another beam '' is loaded with a uniformly distributed load such that the total load on the beam is . The ratio of maximum deflections between beams and is
A.	5/8
B.	8/5
C.	5/4
D.	4/5
Answer» C. 5/4

Discussion

90.	A composite shaft consisting of two stepped portions having spring constants and is held between two rigid supports at the ends. Its equivalent spring constant is
A.	+
Answer» E.

Discussion

91.	The maximum bending moment for the beam shown in the below figure, lies at a distance of __________ from the end .
A.	/2
B.	/3
Answer» E.

Discussion

92.	In the torsion equation the term / is called
A.	shear modulus
B.	section modulus
C.	polar modulus
D.	none of these
Answer» D. none of these

Discussion

93.	Strain rosettes are used to
A.	measure shear strain
B.	measure linear strain
C.	measure volumetric strain
D.	relieve strain
Answer» C. measure volumetric strain

Discussion

94.	The torque transmitted by a solid shaft of diameter () is (where τ = Maximum allowable shear stress)
A.	x τ x
B.	x τ x
C.	x τ x
D.	x τ x
Answer» C. x τ x

Discussion

95.	Two shafts '' and '' transmit the same power. The speed of shaft '' is 250 r.p.m. and that of shaft '' is 300 r.p.m. The shaft '' has the greater diameter.
A.	True
B.	False
Answer» C.

Discussion

96.	When the material is loaded with elastic limit , then the stress is . to strain.
A.	equal
B.	directly proportional
C.	inversely proportional
D.	not equal
Answer» C. inversely proportional

Discussion

97.	The property of material to absorb shock energy without failure is known as .
A.	elasticity
B.	toughness
C.	stiffness
D.	resilience
Answer» C. stiffness

Discussion

98.	If the member shown in Fig. 1.1 has asquare cross section of 25 mm 25 mm and E = 200 GPa, the change in length of portion CD is ------mm
A.	0.16
B.	-0.16
C.	0.24
D.	-0.24
Answer» C. 0.24

Discussion

99.	The ratio of width to depth of a strongest beam that can be cut out of a cylindrical log of wood is
A.	1/2
B.	1/V2
C.	1/3
D.	2/3
Answer» C. 1/3

Discussion

100.	A stepped bar of steel consists of a pmormtion with cross section area 500 mm2 connected to a portion with cross section area 1000 2. Each portion has a length of 1 m. The modulus of elasticity of steel is200 GPa. The maximum elongation of the bar by applying an axial tensile force at the ends without exceeding a stress of 100 MPa is mm.
A.	0.5
B.	0.75
C.	0.1
D.	0.15
Answer» C. 0.1

Discussion

Explore topic-wise MCQs in Mechanical Engineering.

The rectangular beam ' ' has length , width and depth . Another beam '' has the same width and depth but length is double that of ''. The elastic strength of beam '' will be __________ as compared to beam .

A simply supported beam with a gradually varying load from zero at and per unit length at is shown in the below figure. The shear force at is equal to

According to Euler's column theory, the crippling load of a column is given by = π / In this equation, the value of for a column with both ends hinged, is

A simply supported beam '' of length , breadth , and depth carries a central point load . Another beam '' has the same length and depth but its breadth is doubled. The deflection of beam '' will be __________ as compared to beam ''.

In the below figure, curve represents mild steel.

The shear force at the centre of a simply supported beam with a gradually varying load from zero at both ends to per metre at the centre, is

According to Unwin's formula, the relation between diameter of rivet hole () and thickness of plate () is given by (where and are in mm)

The bending moment of a cantilever beam of length and carrying a uniformly distributed load of per unit length is __________ at the fixed end.

Two shafts '' and '' are made of same material. The shaft '' is of diameter and shaft '' is of diameter /2. The strength of shaft '' is __________ as that of shaft ''

In a stress-strain diagram as shown in the below figure, the curve represents

A rectangular beam of length supported at its two ends carries a central point load . The maximum deflection occurs

In a thin cylindrical shell subjected to an internal pressure , the ratio of longitudinal stress to the hoop stress is

The bending moment of a cantilever beam of length and carrying a uniformly distributed load of per unit length is __________ at the free end.

The shear force of a cantilever beam of length carrying a uniformly distributed load of per unit length is __________ at the free end.

The extension of a circular bar tapering uniformly from diameter at one end to diameter at the other end, and subjected to an axial pull of is __________ the extension of a circular bar of diameter subjected to the same load .

The limit of eccentricity for no tensile conditions for a column of circular section of diameter () is

If percentage elongation of a certain specimen made of a material '' under tensile test is 30% and the percentage elongation of a specimen with same dimensions made of another material '' is 40%, then material '' is more ductile than material ''.

The shear force diagram of a cantilever beam of length and carrying a uniformly distributed load of per unit length will be

Two solid shafts '' and '' are made of the same material. The shaft '' is of 50 mm diameter and shaft '' is of 100 mm diameter. The strength of shaft '' is __________ as that of shaft .

The strain energy stored in a hollow circular shaft of outer diameter () and inner diameter () subjected to shear stress is

The section modulus () of a beam is given by

The shear force of a cantilever beam of length and carrying a gradually varying load from zero at the free end and per unit length at the fixed end is __________ at the fixed end.

According to Euler's column theory, the crippling load of a column is given by = π /. In the Euler's formula, the value of for a column with both ends fixed is 4.

A simply supported beam '' of length , breadth and depth carries a central point load . Another bream '' has the same length and breadth but its depth is doubled. The deflection of beam '' will be double as compared to beam ''.

The product of Young's modulus () and moment of inertia () is known as

The maximum bending moment of a simply supported beam of span and carrying a point load at the centre of beam, is

The maximum shear stress in a thin spherical shell subjected to an internal pressure () is zero.

The shear force of a cantilever beam of length carrying a uniformly distributed load of per unit length is __________ at the fixed end.

A column of length () with both ends fixed may be considered as equivalent to a column of length __________ with one end fixed and the other end free.

The values of equivalent length () and actual length () of a column for both ends hinged is the same

Two closely-coiled helical springs '' and '' are equal in all respects but the number of turns of spring '' is double that of spring ''. The stiffness of spring '' will be __________ that of spring ''.

A thin cylindrical shell of diameter (), length () and thickness ()is subjected to an internal pressure (). The hoop stress in the shell is

A vertical column has two moments of inertia (i.e. and ). The column will tend to buckle in the direction of the

The rectangular beam '' has length , width and depth . Another beam '' has the same length and depth but width is double that of ''. The elastic strength of beam '' will be __________ as compared to beam .

The strain energy stored in a solid circular shaft subjected to shear stress (τ) is (where = Modulus of rigidity for the shaft material)

For a beam, as shown in the below figure, the maximum deflection is .

The maximum diameter of the hole that can be punched from a plate of maximum shear stress 1/4 of its maximum crushing stress of punch, is equal to (where = Thickness of the plate)

Two closely coiled helical springs '' and '' are equal in all respects but the number of turns of spring '' is half that of spring '' The ratio of deflections in spring '' to spring '' is

The simply supported beam '' of length carries a central point load . Another beam '' is loaded with a uniformly distributed load such that the total load on the beam is . The ratio of maximum deflections between beams and is

A composite shaft consisting of two stepped portions having spring constants and is held between two rigid supports at the ends. Its equivalent spring constant is

The maximum bending moment for the beam shown in the below figure, lies at a distance of __________ from the end .

In the torsion equation the term / is called

Strain rosettes are used to

The torque transmitted by a solid shaft of diameter () is (where τ = Maximum allowable shear stress)

Two shafts '' and '' transmit the same power. The speed of shaft '' is 250 r.p.m. and that of shaft '' is 300 r.p.m. The shaft '' has the greater diameter.

When the material is loaded with elastic limit , then the stress is . to strain.

The property of material to absorb shock energy without failure is known as .

If the member shown in Fig. 1.1 has asquare cross section of 25 mm 25 mm and E = 200 GPa, the change in length of portion CD is ------mm

The ratio of width to depth of a strongest beam that can be cut out of a cylindrical log of wood is