CWT–04
Booklet No.:
Booklet Series:
03092014
Strength of Materials
(SOM)
A
Student Name:
Roll Number:
Duration: 90 Minutes
PAPER
MAXIMUM MARKS: 60
INSTRUCTIONS
1.
IMMEDIATELY AFTER THE COMMENCEMENT OF THE EXAMINATION, YOU SHOULD CHECK THAT THIS TEST BOOKLET
DOES NOT HAVE ANY UNPRINTED OR TORN OR MISSING PAGES OR ITEMS ETC. IF SO, GET IT REPLACED BY A
COMPLETE TEST BOOKLET.
2.
This Test Booklet contains 30 questions. Each question comprises four responses (answers). You will select the
response which you want to mark on the Answer Sheet. In case you feel that there is more than one correct
response, mark the response which you consider the best. In any case, choose ONLY ONE response for each item.
3.
You have to mark all your response ONLY on the separate Answer Sheet provided.
4.
All items carry equal marks.
5.
Before you proceed to mark in the Answer Sheet the response to various items in the Test Booklet, you have to fill
in some particulars in the Answer Sheet as per instructions.
6.
Each questions 2 marks and 2/3 negative mark is assigned for the wrong answer.
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P h ( 0 1 1 ) - 2 6 1 9 4 8 6 9 , C e l l : 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7 : E - ma i l : q h e n g i n e e r z o n e @ g ma i l . c o m
Strength of Material (SOM)
(1.)
(2.)
(3.)
(4.)
(5.)
2
A solid conical bar of circular cross-section
is suspended vertically. If the length of bar
is L and the weight per unit volume of the
material of the bar is w, determine the total
elongation of the bar due to its own weight.
wL4
(a.)
6E
wL2
(b.)
6E
wL4
(c.)
3E
wL2
(d.)
3E
Ans: b
The phenomenon of slow extension of
materials having constant load, i.e.
increasing with the time is called
(a.) Creeping
(b.) Yielding
(c.) Breaking
(d.) None of these
Ans: a
The materials which having the same elastic
properties in all direction, are called
(a.) Isotropic
(b.) Brittle
(c.) Lemogeneony
(d.) Hard
Ans: a
If the normal cross section A of a member is
subjected to a tensile force P, the resulting
normal tress in an oblique plane inclined at
angle  to transverse plane will be
P
sin2 
(a.)
A
P
cos2 
(b.)
A
P
sin 2
(c.)
2A
P
cos 2
(d.)
2A
Ans: b
If b is the width of a plate joined by diamond
riveting diameter d, the efficiency of the
joint is given by
b d
(a.)
b
b d
(b.)
b
d b
(c.)
d
b d
(d.)
d
Ans: b
(6.)
(7.)
A simply supported beam of span L carries a
uniformly distributed load w. The maximum
bending moment M is
wL
(a.)
2
wL
(b.)
4
wL
(c.)
8
wL
(d.)
12
Ans: c
For the element shown in fig. which stress
is principal stress?
(a.)  x
(b.)  y
(8.)
(9.)
(c.) Both of the above
(d.) None of the above
Ans: c
The ratio of maximum shear stress develop
in a solid shaft of diameter D and a hollow
shaft if external diameter D and internal
diameter d for the same torque is given by
D2  d2
(a.)
D2
2
D  d2
(b.)
D2
4
D  d4
(c.)
d4
D4  d4
(d.)
D4
Ans: d
A beam subjected to B.M of M x and of
flexural rigidity EI absorbs strain energy
equal to
1
 M2 
(a.)   x dx
0  2EI 
1
(b.)
 Mx 
  2EI dx
0
1
(c.)
 M x2 
dx

0
  EI
1
(d.)
 M x2 
  4EI dx
0
Ans: a
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
(10.)
(11.)
The maximum deflection of a cantilever
beam of length l with a point load w at the
force end is
wL3
(a.)
3EI
wL3
(b.)
8EI
wL3
(c.)
16EI
wL3
(d.)
48EI
Ans: a
In a stress-strain diagram for mild steel as
shown in fig. The point ‘A’ represents
(15.)
(16.)
(17.)
(18.)
Hooke’s law states that stress and strain are
(a.) Directly proportional
(b.) Inversely proportional
(c.) Curvilinear related
(d.) None of the above
Ans: a
Struts are load carrying members of a frame
structure which are subjected to
(a.) Transverse load
(b.) Axial tension loads
(c.) Axial compressive loads
(d.) Transverse loads
Ans: b
For no tensile stress under bending and
axial loading middle-third rule applied to
section
(a.) Circular
(b.) Rectangular
(c.) Elliptical
(d.) Straight
Ans: b
The shear force on a deflected beam is given
by
dy
(a.) V  EI
dx
d 2y
dx 2
d 3y
(c.) V  EI
dx 3
d 4y
(d.) V  EI
dx 4
Ans: c
In the Rankine-nordon formula the value of
Rankine’s constant ‘  ’ for steel is
1
(a.)
5000
1
(b.)
7500
1
(c.)
1600
1
(d.)
4500
Ans: b
Stiffness of a spring is determined from
(a.) W  

(b.)
W
W
(c.)

(d.) W   1/2
Ans: c
Power transmitted by a shaft is given by
(Dutts)
2 NT
(a.)
75
(b.) V  EI
(12.)
(13.)
(14.)
3
(a.) Elastic limit
(b.) Upper yield point
(c.) Lower yield point
(d.) Breaking point
Ans: a
Net force acting across a cross-section of
bent-beam is
(a.) Tensile
(b.) Compressive
(c.) Zero
(d.) Shear
Ans: c
The section modulus of a rectangular
section is proportional to
(a.) Area of the section
(b.) Square of the area of the section
(c.) Product of the area and depth
(d.) Product of the area and width
Ans: a
The ratio of the maximum deflection of a
cantilever beam with an isolated load of its
free end and width a uniformly distributed
load over its entire length is
(a.) 1
24
(b.)
15
8
(c.)
3
3
(d.)
8
Ans: c
(19.)
(20.)
(21.)
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
2 NT
60
2 NT
(c.)
746
2 NT
(d.)
4500
Ans: b
Poisson’s ratio for cast iron is
(a.) 0.27
(b.) 0.31
(c.) 0.33
(d.) 0.36
Ans: a
The young’s modulus of elasticity is
determined for mild steel in tension and
compression, the two values will have a
E 
ratio  t  of
 Ec 
(b.)
(22.)
(23.)
(24.)
(c.)
(d.)
(26.)
(d.)
(a.) 1
(b.) 0.5
(c.) 1.2
(d.) 2
Ans: a
In Mohr’s circle, the distance of the centre of
circle from y-axis is
(a.)  Px  Py 
(b.)
(25.)
(c.)
P
x
 Py 
Px  Py
(27.)
2
Px  Py
2
Ans: c
The average value of modulus of rigidity for
aluminum, brass, copper, nickel and steel
in descending order are given by
(a.) Aluminum, brass, copper, nickel, steel
(b.) Aluminum, copper, nickel, brass, steel
(c.) Aluminum, nickel, steel, brass, copper
(d.) Brass, copper, aluminum, nickel, steel
Ans: a
Stress strain curve for the fiber glass can be
expected to be of the pattern shown in fig.
(a.)
(28.)
(29.)
(b.)
4
(30.)
Ans: a
If the width of simply supported beam
carrying an isolated load at its centre is
doubled, the deflection of the beam at the
centre is changed by
1
(a.)
2
1
(b.)
8
(c.) 2
(d.) 8
Ans: a
The maximum twisting moment a shaft can
resist is the product of the permissible
shear stress and
(a.) Moment of inertia
(b.) Polar moment of inertia
(c.) Polar modulus
(d.) Modular of rigidity
Ans: c
Modular ratio of the two materials is the
ratio
(a.) Linear stress to lateral strain
(b.) Linear stress to linear strain
(c.) Shear stress to shear strain
(d.) Their modulus of elasticities
Ans: d
Brass could not be used to reinforce
concrete because
(a.) Its density is too high
(b.) Its density is too low
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
(31.)
(32.)
(c.) It is too expensive
(d.) It is coefficient of thermal expansion is
not right
Ans: d
The ratio of the tensile stress developed in
the wall of a boiler in the circumferential
deflection to the tensile stress in the axial
direction is
(a.) 4
(b.) 3
(c.) 2
(d.) 1
Ans: c
Two area under stress strain curve, shown
in fig. represents
(33.)
(34.)
(35.)
(d.) Residual stresses
Ans: c
If the three hinged parabolic arch carried a
uniformly distributed load on entire span,
every section of the arch resists
(a.) Compressive force
(b.) Tensile force
(c.) Shear force
(d.) Bending moment
Ans: a
The equivalent length of a column fixed at
one end and free at the other end, is
(a.) 0.5 l
(b.) 0.7 l
(c.) 1l
(d.) 2 l
Ans: d
For structural analysis of forces, the method
refers to
(a.) Moment-area theorem
(b.) Three-moment equation
(c.) Maxwell’s reciprocal theorem
(d.) None of these
Ans: a
(a.) Work done
(b.) Ductility
(c.) Strain energy
5
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
Answer Key
(1.)
(9.)
(17.)
(25.)
(2.)
(10.)
(18.)
(26.)
(3.)
(11.)
(19.)
(27.)
(4.)
(12.)
(20.)
(28.)
(5.)
(13.)
(21.)
(29.)
(6.)
(14.)
(22.)
(30.)
(7.)
(15.)
(23.)
(8.)
(16.)
(24.)
6
(b)
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
7
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
(1.)
A solid conical bar of circular cross-section is suspended vertically.
If the length of bar is L and the weight per unit volume of the
material of the bar is w, determine the total elongation of the bar
due to its own weight.
wL4
(a.)
6E
wL2
(b.)
6E
wL4
(c.)
3E
wL2
(d.)
3E
Ans: b
(2.)
The phenomenon of slow extension of materials having constant
load, i.e. increasing with the time is called
(a.) Creeping
(b.)Yielding
(c.) Breaking
(d.)None of these
Ans: a
(3.)
The materials which having the same elastic properties in all
direction, are called
(a.) Isotropic
(b.)Brittle
(c.) Lemogeneony
(d.)Hard
Ans: a
8
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
(4.)
If the normal cross section A of a member is subjected to a tensile
force P, the resulting normal tress in an oblique plane inclined at
angle  to transverse plane will be
(a.)
P
sin2 
A
(b.)
P
cos2 
A
(c.)
P
sin 2
2A
(d.)
P
cos 2
2A
Ans: b
(5.)
If b is the width of a plate joined by diamond riveting diameter d, the
efficiency of the joint is given by
(a.)
b d
b
(b.)
b d
b
(c.)
d b
d
(d.)
b d
d
Ans: b
(6.)
A simply supported beam of span L carries a uniformly distributed
load w. The maximum bending moment M is
9
(a.)
wL
2
(b.)
wL
4
(c.)
wL
8
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
(d.)
wL
12
Ans: c
(7.)
For the element shown in fig. which stress is principal stress?
(a.)  x
(b.)  y
(c.) Both of the above
(d.)None of the above
Ans: c
(8.)
The ratio of maximum shear stress develop in a solid shaft of
diameter D and a hollow shaft if external diameter D and internal
diameter d for the same torque is given by
(a.)
D2  d2
D2
D2  d2
(b.)
D2
D4  d4
(c.)
d4
(d.)
D4  d4
D4
Ans: d
(9.)
A beam subjected to B.M of M x and of flexural rigidity EI absorbs
strain energy equal to
10
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
1

dx

1

dx

 M2
(a.)   x
0  2EI
M
(b.)   x
0  2EI
1
 M x2 
(c.)  
dx
0  EI 
1
 M2
(d.)   x
0  4EI

dx

Ans: a
(10.)
The maximum deflection of a cantilever beam of length l with a point
load w at the force end is
(a.)
wL3
3EI
wL3
(b.)
8EI
(c.)
wL3
16EI
wL3
(d.)
48EI
Ans: a
(11.)
In a stress-strain diagram for mild steel as shown in fig. The point
‘A’ represents
(a.) Elastic limit
11
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
(b.)Upper yield point
(c.) Lower yield point
(d.)Breaking point
Ans: a
(12.)
Net force acting across a cross-section of bent-beam is
(a.) Tensile
(b.)Compressive
(c.) Zero
(d.)Shear
Ans: c
(13.)
The section modulus of a rectangular section is proportional to
(a.) Area of the section
(b.)Square of the area of the section
(c.) Product of the area and depth
(d.)Product of the area and width
Ans: a
(14.)
The ratio of the maximum deflection of a cantilever beam with an
isolated load of its free end and width a uniformly distributed load
over its entire length is
(a.) 1
(b.)
24
15
(c.)
8
3
(d.)
3
8
Ans: c
(15.)
Hooke’s law states that stress and strain are
(a.) Directly proportional
12
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
(b.)Inversely proportional
(c.) Curvilinear related
(d.)None of the above
Ans: a
(16.)
Struts are load carrying members of a frame structure which are
subjected to
(a.) Transverse load
(b.)Axial tension loads
(c.) Axial compressive loads
(d.)Transverse loads
Ans: b
(17.)
For no tensile stress under bending and axial loading middle-third
rule applied to section
(a.) Circular
(b.)Rectangular
(c.) Elliptical
(d.)Straight
Ans: b
(18.)
The shear force on a deflected beam is given by
(a.) V  EI
dy
dx
d 2y
(b.)V  EI
dx 2
d 3y
(c.) V  EI
dx 3
d 4y
(d.)V  EI
dx 4
Ans: c
13
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
(19.)
In the Rankine-nordon formula the value of Rankine’s constant ‘  ’
for steel is
(a.)
1
5000
(b.)
1
7500
(c.)
1
1600
(d.)
1
4500
Ans: b
(20.)
Stiffness of a spring is determined from
(a.)W  
(b.)
(c.)

W
W

(d.)W   1/2
Ans: c
(21.)
Power transmitted by a shaft is given by (Dutts)
(a.)
2 NT
75
(b.)
2 NT
60
(c.)
2 NT
746
(d.)
2 NT
4500
Ans: b
(22.)
Poisson’s ratio for cast iron is
(a.) 0.27
14
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
(b.)0.31
(c.) 0.33
(d.)0.36
Ans: a
(23.)
The young’s modulus of elasticity is determined for mild steel in
E 
tension and compression, the two values will have a ratio  t  of
 Ec 
(a.) 1
(b.)0.5
(c.) 1.2
(d.)2
Ans: a
(24.)
In Mohr’s circle, the distance of the centre of circle from y-axis is
(a.)  Px  Py 
(b.)  Px  Py 
(c.)
(d.)
Px  Py
2
Px  Py
2
Ans: c
(25.)
The average value of modulus of rigidity for aluminum, brass,
copper, nickel and steel in descending order are given by
(a.) Aluminum, brass, copper, nickel, steel
(b.)Aluminum, copper, nickel, brass, steel
(c.) Aluminum, nickel, steel, brass, copper
(d.)Brass, copper, aluminum, nickel, steel
Ans: a
15
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
(26.)
Stress strain curve for the fiber glass can be expected to be of the
pattern shown in fig.
(a.)
(b.)
(c.)
(d.)
Ans: a
(27.)
If the width of simply supported beam carrying an isolated load at its
centre is doubled, the deflection of the beam at the centre is changed
by
16
EN G IN EER S ZO N E, 6 5 / C , P r at ee k Ma r k et , Ne ar C an a ra B an k, Mu n i r ka, N ew Del h i -1 1 0 0 6 7 ,
P h (0 1 1 ) -2 6 1 9 4 8 6 9 , C e l l: 9 8 7 3 0 0 0 9 0 3 , 9 8 7 3 6 6 4 4 2 7: E - ma i l : q h en gi n e er zo n e @ g m ai l . co m
Strength of Material (SOM)
(a.)
1
2
(b.)
1
8
(c.) 2
(d.)8
Ans: a
(28.)
The maximum twisting moment a shaft can resist is the product of
the permissible shear stress and
(a.) Moment of inertia
(b.)Polar moment of inertia
(c.) Polar modulus
(d.)Modular of rigidity
Ans: c
(29.)
Modular ratio of the two materials is the ratio
(a.) Linear stress to lateral strain
(b.)Linear stress to linear strain
(c.) Shear stress to shear strain
(d.)Their modulus of elasticities
Ans: d
(30.)
Brass could not be used to reinforce concrete because
(a.) Its density is too high
(b.)Its density is too low
(c.) It is too expensive
(d.)It is coefficient of thermal expansion is not right
Ans: d
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