SHEAR FORCE & BENDING MOMENT DIAGRAMS MULTIPLE CHOICE QUESTIONS (MCQ) WITH ANSWERS
SHEAR FORCE AND
BENDING MOMENT DIAGRAMS
MULTIPLE CHOICE
QUESTIONS
(MCQ) WITH ANSWERS
MCQ on shear force and bending
moment increase depth of
understanding. Then only, one can easily
use these fundamentals in the design of
beams. Firstly, beam is designed for
maximum shear force. Secondly, beam is
designed for maximum bending
moment. Finally, larger size obtained
becomes the final design.
Fig. Shear force & bending diagrams for a Cantilever
Fig. CANTILEVER BEAM WITH UDL & CONC LOADS

SFD shows shear force at

Two points of the beam

Four points of the beam

Entire beam

None
ANS: (c )

Use of SFD is to find the location and magnitude of

Maximum shear force

Minimum shear force

Both (a) & (b)

None
ANS:(a)

The definition of shear force is net vertically upwards or downward force at a point due to

All the forces acting on the beam

Forces acting on one side of the point

Both (a) & (b)

None
ANS: (b)

The first to draw the shear force diagram is to

Draw the loaded beam

Draw the free body diagram

Both (a) & (b)

None
ANS: (c )

Shear force diagram for concentrated loads consists of

Triangles

Rectangles

Circles

None
ANS: (b)

Shear force diagram for UDL consists of

Triangles

Rectangles

Circles

None
ANS: (a)

Shear force diagram for concentrated and UDL loads consists of

Triangles

Rectangles

Both triangles & rectangles

None
ANS: (c )

Maximum shear force in case of a simply supported beam with a concentrated load W at the center is

W

W/2

W/4

None
ANS: (b)

Maximum shear force in case of a simply supported beam with a concentrated load W at the center is at

The center

The left end

Both at the center & left end

None
ANS: (b)

Maximum shear force in case of a simply supported beam with a UDL ‘w’ on the entire length L is

Firstly w L

Secondly w L/3

Thirdly w L/2

None
ANS: (c )

Maximum shear force in case of a S.S. beam with a UDL ‘w’ over the entire span is at the

Center

Left end

At L/4 from left end

None
ANS: (b)

A beam is a structural member to which load applied is

Axial load

Lateral load

Inclined load

None
ANS: (b)

A point or concentrated load is acting

Over the entire beam length

Parallel to beam length

Over a small area

None
ANS: (c )

Uniformly distributed load is

Increases or decreases at a constant rate

Varies for each meter length

Constant for each meter length

None
ANS: (c )

Nonuniform distributed load

Increases or decreases at a constant rate

Constant for each meter length

Both (a) & (b)

None
ANS: (a)

A cantilever is a beam with

Both ends fixed

Both ends simply supported

One end fixed other end is free

None
ANS: (c )

A simply supported beam is

Fixed at both ends

Both ends simply supported

One end fixed other end is free

None
ANS: (b)

An overhanging beam is

Supported at the ends

Not supported at the ends

Has more than two supports

None
ANS: (b)

A statically determinate hinged beam is

Hinged at both ends

Simply supported at one end & hinged at the other end

Supported at more than two supports

None
ANS: (b)

A statically determinate beam is one for which unknown reactions are found

By addition and subtraction

From the equations of equilibrium

Cannot be found from the equations of equilibrium

None
ANS: (b)

A cantilever beam is a

Determinate beam

Indeterminate beam

Both (a) & (b)

None
ANS: (a)

An overhanging beam is a

Indeterminate beam

Determinate beam

Both (a) & (b)

None
ANS: (b)

A cantilever having point load at the free end. The shear force diagram is

Triangle

Rectangle

Parabola

None
ANS: (b)

A cantilever having UDL over the entire length. The shear force diagram is

Triangle

Rectangle

Parabola

None
ANS: (a)

A cantilever having UDL over the entire length and a point load at the free end. The shear force diagram is
(a) Triangle
(b) Rectangle
(c) Parabola
(d) None
ANS: (d)

A cantilever having UDL over the entire length and a point load at the free end. The shear force diagram is

Triangle

Rectangle

Trapezium

None

ANS: (c)

A cantilever having UDL over some part of length from free end. The shear force diagram is

Triangle+ parabola

Rectangle+ triangle

Parabola+ triangle

None
ANS: (b)

A cantilever having a triangular load over the entire span. The shear force diagram is

Rectangle

Triangle

Rectangle+ Triangle

None

ANS: (d)

A cantilever having a triangular load over the entire span. The shear force diagram is
(a)Rectangle
( b)Triangle
(c)Parabola
(d) None
ANS: (c )
31. At the supports of a simply supported beam, bending moment is
(a) Maximum
(b) Minimum
(c) Zero
(d) None
(Ans: c)
32. At the supports of a simply supported beam, shear forces is
(a) Maximum
(b) Minimum
(c) Zero
(d) None
(Ans: a)
33. In case of a cantilever beam, bending moment at the free end is
(a) Maximum
(b) Minimum
(c) Zero
(d) None
(Ans: c)
34. In case of a cantilever beam, bending moment at the fixed end is
(a) Maximum
(b) Minimum
(c) Zero
(d) None
(Ans: a)
35. In case of a cantilever beam, shear force at the fixed end is
(a) Maximum
(b) Minimum
(c) Zero
(d) None
(Ans: a)
36. In case of a cantilever beam having concentrated loads, bending moment variation is
(a) Linear
(b) Parabolic
(c) Cubic
(d) None
(Ans: a)
37. In case of a cantilever beam having UDL, bending moment variation is
(a) Linear
(b) Parabolic
(c) Cubic
(d) None
(Ans: b)
38. In case of a cantilever beam having concentrated loads, shear force variation is
(a) Linear
(b) Parabolic
(c) Cubic
(d) None
(Ans: d)
39. In case of a cantilever beam having UDL, shear force variation is
(a) Linear
(b) Parabolic
(c) Cubic
(d) None
(Ans: a)
40. Relation between bending moment and shear force is
(a) dM/dx = V _{x}
(b) dM/dx = ±V _{x}
(c) dM/dx = V _{x}
(d) None
(Ans: c)
41. Relation between shear force and UDL is
(a) dV/dx=+ w
(b) dV/dx=– w
(c) dV/dx=± w
(d) None
(Ans: b)
42. Relation between shear force and Concentrated load is
(a) dV/dx= 0
(b) dV/dx=– W
(c) dV/dx=–W
(d) None
(Ans: a)
43. Under sagging bending moment, the uppermost fiber of the S.S. beam is in
(a) Shear
(b) Compression
(c) Tension
(d) None
(Ans: b)
44. A beam is a simply supported beam when its movement is restricted in
(a) One way
(b) Two ways
(c) Three ways
(d) None
(Ans: a)
^{45. A beam is a hinged beam when its movement is restricted in}
(a) One way
(b) Two ways
(c) Three ways
(d) None
(Ans: b)
46. A beam is a fixed beam when its movement is restricted in
(a) One way
(b) Two ways
(c) Three ways
(d) None
(Ans: c)
47. Movement of the free end of a cantilever is restricted in
(a) One way
(b) Two ways
(c) Three ways
(d) None
(Ans: b)
48. An overhanging beam can have
(a) One overhang
(b) Three overhangs
(c) Five overhangs
(d) None
(Ans: a)
49. An overhanging beam can have
(a) Zero overhang
(b) Three overhangs
(c) Two overhangs
(d) None
(Ans: c)
50. A continuous beam is one which has
(a) One support
(b) Two supports
(c) Three supports
(d) None
(Ans: c)
51. A fixed beam has
(a) One free end
(b) Two free ends
(c) One end fixed
(d) None
(Ans: d)
52. Variation of shear force due to UDL on a S.S. beam is
(a) Linear
(b) Parabolic
(c) Cubic
(d) None
(Ans: a)
53. Variation of bending moment due to UDL on a S.S. beam is
(a) Linear
(b) Parabolic
(c) Cubic
(d) None
(Ans: b)
54. Maximum bending moment in a S.S. beam having a concentrated load at the center is
(a) WL
(b) WL/2
(c) WL/4
(d) None
(Ans: c)
55. Maximum bending moment in a S.S. beam having a UDL over entire length will be
(a) wL^{2}/2
(b) wL^{2}/4
(c) wL^{2}/8
(d) None
(Ans: c)
56. Maximum bending moment in a cantilever beam having a UDL over entire length is
(a) wL^{2}/2
(b) wL^{2}/4
(c) wL^{2}/8
(d) None
(Ans: c)
57. How many points of contraflexure can be there in a continuous beam
(a) One
(b) Two
(c) Three
(d) None
(Ans: d)
58. At the point of contra flexure, the bending moment is
(a) Maximum
(b) Minimum
(c) Zero
(d) None
(Ans: c)
59. At the point of contra flexure, the shear force in the shear force diagram is
(a) Maximum
(b) Minimum
(c) Zero
(d) None
(Ans: a)
60. The relation between shear force and UDL is
(a) dV/dx=0
(b) dV/dx= –w
(c) dV/dx= wx
(d) None
(Ans: b)
61. Maximum shear force in a S.S. beam having a concentrated load at the center is
(a) W
(b) W/2
(c) W/4
(d) None
(Ans: b)
62. Maximum shear force in a S.S. beam having a UDL over entire length is
(a) wL/2
(b) wL/4
(c) wL/8
(d) None
(Ans: a)
^{63. Maximum shear force in a cantilever beam having a UDL over entire length is}
a) wL/2
(b) wL
(c) wL/4
(d) None
(Ans: b)
64. The relation between shear force and concentrated load is
(a) dV/dx=0
(b) dV/dx= –W
(c) dV/dx= Wx
(d) None
(Ans: a)
_{65. The relation between bending moment and concentrated load is}
(a) dM/dx=0
(b) dM/dx= –Vx
(c) dM/dx= Vx
(d) None
(Ans: c)
66. The relation between bending moment and UDL is
(a) dM/dx=0
(b) dM/dx= –Vx
(c) dM/dx= Vx
(d) None
(Ans: c)
67. At the points of shear force changes sign, bending moments is
(a) Maximum
(b) Minimum
(c) Zero
(d) None
(Ans: a)
68. At the points of bending moment changes sign, shear force is
(a) Maximum
(b) Minimum
(c) Zero
(d) None
(Ans: a)
69. Shear force in a beam is
(a) Parallel to the length
(b) Perpendicular to the length
(c) Neither parallel nor perpendicular to the length
(d) None
(Ans: b)
70. Bending moment in a beam is
(a) Parallel to the length
(b) Perpendicular to the length
(c) Neither parallel nor perpendicular to the length
(d) None
(Ans: d)
71. Which moment is considered as positive
(a) Hogging
(b) Sagging
(c) Clockwise
(d) None
(Ans: b)
72. A shear force at any point of a beam is
(a) Maximum vertical force on left of the point
(b) Maximum vertical force on right of the point
(c) Net vertical force on one side of the point
(d) None
(Ans: c)
_{73. A bending moment at any point of a beam is}
(a) Maximum bending moment on left of the point
(b) Maximum bending moment on right of the point
(c) Minimum bending moment on one side of the point
(d) None
(Ans: d)
74. A bending moment at any point of a beam is
(a) Net bending moment on left of the point
(b) Maximum bending moment on right of the point
(c) Minimum bending moment on one side of the point
(d) None
(Ans: a)
75. The relation between shear force and concentrated loads is

dV/dx=W

dV/dx=w

dV/dx= 0

None
ANS: (c )
76. Maximum shear force for a simply supported beam with a point load ‘W’ at midspan is

W/4

W/3

W/2

None
ANS: (c )
77. Maximum shear force for a simply supported beam with UDL ‘w’ over the entire span ‘L’ is

w L/4

wL/3

wL/2

None
ANS: (c )
78. Bending moment at the supports of a simply supported beam with a point load at midspan is

> 1

<1

Zero

None
ANS: ©
79. Bending moment at the supports of a simply supported beam with a UDL ’w’ over the entire span ‘L’ is

> 1

<1

Zero

None
ANS: ©
80. Point of contra flexure is a point of

Deformation

Distortion

Inflexion

None
ANS: (c )
81. A S.S. beam having a point load near to support ‘B’ on right hand side. The maximum shear force is at

The center

On the left side of load

At the right side of load

None
ANS: (b)
82. The point where shear force changes sign is a point of

Maximum shear force

Zero shear force

Contra flexure

None
ANS: (b)
83. Due to the loading, if the S.S. beam goes down, it is a

Hogging bending moment

Sagging bending moment

Both hogging & sagging bending moment

None
ANS: (b)
84. Due to the loading, if the S.S. beam goes upwards, it is a

Hogging bending moment

Sagging bending moment

Both hogging & sagging bending moment

None
ANS: (a)
85. Due to the loading, if the free end of the cantilever beam goes down, it is a

Hogging bending moment

Sagging bending moment

Both hogging & sagging bending moment

None
ANS: (a)
86. Due to the loading, if the free end of the cantilever beam goes upwards, it is a

Hogging bending moment

Sagging bending moment

Both hogging & sagging bending moment

None
ANS: (b)
87. The bending moment diagram for a cantilever with a point load at the free end is

Rectangle

Triangle

Parabola

None
ANS: (b)
88. The bending moment diagram for a cantilever with UDL over the entire span is

Rectangle

Triangle

Parabola

None
ANS: (c)
89. The bending moment diagram for a cantilever with UDL over the entire span & a concentrated load at the free end is

Rectangle

Triangle

Parabola

None
ANS: (c)
90. The bending moment diagram for a cantilever with nonuniform loading over the entire span is

Cubic variation

Cubic + parabolic

Parabolic variation

None
ANS: (a)
91. The bending moment diagram for a simply supported beam with UDL over the entire span is


Rectangle

Triangle

Parabola

None

ANS: ©


92. The bending moment diagram for a simply supported beam with UDL over the entire span is(a) Rectangle
(b) Triangle
© Parabola
(d)None
ANS: ©
93. The bending moment diagram for a cantilever with UDL over the entire span & a concentrated load at the free end is

Rectangle

Triangle

Parabola

None
ANS: (c )
94. The bending moment diagram for a cantilever with triangular load over the entire span is

Parabolic variation

Cubic variation

(Parabolic + cubic) variation

None
ANS: (b)
95. Maximum bending moment with a point load at mid span of a simply supported beam is

WL/2

WL/6

WL/4

None
ANS: (c )
96. Maximum bending moment with a point load at mid span of a simply supported beam is at

Left hand support

Right hand support

The center

None
ANS: (c )
97. Maximum bending moment with UDL over the entire span of a simply supported beam is

wL/2

wL/6

wL/4

None
ANS: (d)
98. Maximum bending moment with UDL over the entire span of a simply supported beam is

Firstly wL^{2}/8

Secondly wL^{2}/6

Thirdly wL^{2}/4

None
ANS: (a)
99. Bending moment diagram for a simply supported beam with number of point loads is

Rectangles+ Triangles

Triangles + trapezium

Parabola + Triangles

None
ANS: (b)
100. Bending moment diagram for a triangular loading over the entire span of a simply supported beam is

Parabolic curve

Cubic curve

(Parabolic+ cubic) curve

None
ANS: (b)
101. The point where bending moment diagram changes sign is a point of

Maximum bending moment

Contra flexure

Negative bending moment

None
ANS: (b)
102. The point of contra flexure is found on a

Continuous beam

Overhanging beam

Simply supported beam

None
ANS: (b)
103. How many points of contra flexure are there on an overhanging beam with two overhangs

One

Two

Three

None
ANS: (b)
104. How many points of contra flexure are there on an overhanging beam with one overhang

One

Two

Three

None
ANS: (a)
105. The relation between shear force and UDL is

dV/dx=w

dV/dx= w

dV/dx=w^{2}

None
ANS: (b)
106. The relation between bending moment and shear force is

dM/dV= w

dM/dV =V_{x}

dM/dV= V_{x}

None