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8/3/2019 Compre_Complete Q-Paper & Solution
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ID. No.: Name: Marks Obtained:
BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE PILANI, HYDERABAD CAMPUS
Part-A COMPREHENSIVE EXAM. SEM I, 2011-12 ES C221 MECHANICS OF SOLIDS
2:00 PM 2:50 PM, 02/12/2011 (Friday) Max. Marks = 30
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Note: There are total 10 questions printed on one side of the paper. All are multiple choice questions. Select the most
appropriate answer and mention its letter against the space provided in the box. Each question carries THREEmarks. Overwriting will be treated as invalid. No negative marks.
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Q. No. 1 2 3 4 5 6 7 8 9 10
Ans. A B B D A A D C D C
(1) Two bars of different materials are of the same size
and are subjected to same tensile forces. If the bars
have their elongations in the ratio of 4:7, then the ratio
of moduli of elasticity of the two materials is
A) 7:4 B) 4:7 C) 49:16 D) 16:49
(2) A point in a strained body is subjected to a tensile
stress of 1000 kg/cm2 on one of the plane and the
tensile stress of 500 kg/cm2 on a plane at right angle to
it. If these planes are carrying shear stresses of 500
kg/cm2, then the principal stresses are inclined to the
larger normal stress at an angle
A) tan-1 (2) B) tan-1(2)
C) tan-1(2/3) D) tan-1(1/3)
(3) If a cantilever beam carries a uniformly distributed
load over its entire length, then shapes of shear force
diagram and bending moment diagram respectively are
A) Quadratic parabola and cubic parabola
B) Triangle and quadratic parabola
C) Rectangle and triangle
D) Quadratic parabola and triangle
(4) A beam of rectangular crosssection is 100mm
wide and 200mm deep. If the section is subjected to a
shear force of 20kN, then the maximum shear stress in
the section isA) 1N/mm2 B) 1.125N/mm2
C) 1.33N/mm2
D) 1.5N/mm2
(5) Force in the memberAD of the
pin jointed frame shown in figure
below is
A) Zero B)P/2
C)P D)P2
(6) The ratio of strain energy stored by a hollow shaft
of external diameter D and internal diameter d and
strain energy stored by a solid shaft of diameterD is
A)D4/(D
4 d
4) B) (D
2- d
2)/D
2
C) (D4 d4)/D4 D)D2/(D2 - d2 )
(7) A simply supported beam of spanL carries over its
full span a load varying linearly from zero at either
ends to w/unit length at midspan. The maximum
bending moment occurs at
A) quarter points and is equal to wL2/8
B) quarter points and is equal to wL2/12
C) midspan and is equal to wL2/8
D) midspan and is equal to wL2/12
(8) A cantilever beam carries a uniformly distributed
load from fixed end to the centre of the beam in the
first case and a uniformly distributed load of same
intensity from centre of the beam to the free end in the
second case. The ratio of deflection at free end in the
two cases is
A) 1/2 B) 3/11
C) 7/41 D) 15/24
(9) A simply supported beam with rectangular cross-
section is subjected to a central concentrated load. If
the width and depth of the beam is doubled, then thedeflection at the center of the beam will be reduced to
A) 50% B) 25%
C) 12.5% D) 6.25%
(10) For a plane stress state as (60, 40, 0 MPa), the
maximum yield strength according to Von-Mises
criteria is
(A) 60.0 MPa (B) 74.8 MPa
(C) 52.9 MPa (D) 26.4 MPa
8/3/2019 Compre_Complete Q-Paper & Solution
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Par
2:0
-----
Not
-----
Q.1
Q.2
Q.3
Q.4
Q.5
BIRLA I
t-B COM
PM 5:00
--------------
: There are
--------------
If a tensile
twisting m
and tensile200 GPa,
Figu
In Figure 2
portion CD
A column
clamped at
right end
column is
E = 800 G
the tempera
A rigid bar
section wit
method, de
A simply s
shown in
bending str
Specify the
at the botto
B
D
1m 1
STITUTE
REHENS
PM, 02/12/
--------------
total 5 quest
--------------
load of 500
ment of 50
load, find th= 0.3).
re 1
, the alumin
of the brass
f circular cr
left side an
f the colu
ade of a sp
Pa. If this c
ture rise at
BDE is we
h 20 mm wi
termine (a) t
Figure 4
upported be
igure 5b. D
ess will not
location at
m surface or
E
20KN/m
40KN
1m
OF TECH
IVE EXA
011 (Friday
---------------
ions. Start
---------------
kN is appli
kN-m is al
e state of pl
um rod AB
rod is hollo
oss section
hinged at
n, there is
cial refract
olumn is ex
hich buckli
lded at point
dth and 30
he slope at
m of unsy
etermine th
exceed their
hich maxi
the top surf
20mm
30
NOLOGY
. SE
)
--------------
ach questio
--------------
d to a solid
so applied,
ane strain (
G = 27 GPa
with an in
f 400 mm d
right as sho
an expansio
ry material
osed to a h
ng will occu
B to the st
mm depth.
oint A and (
Fig
metrical I s
maximum
allowable
um tensile
ace.
m
100
300
30mm
AND SCIE
I, 2011
--------------
n from a fr
--------------
cylindrical
ind the shea
z, , z). Al
) is bonded
ner diameter
iameter and
n in Figur
n gap of 5
with = 4x
igher tempe
r.
el beam A
For the loa
b) the defle
re 5a
ection (Figu
value of lo
alues 3 MP
bending stre
m
30mm
250mm
m
50m
NCE PIL
-12 ES
---------------
sh page. A
---------------
haft as sho
r stress. Du
so find the
to the brass
of 40 mm,
4 m long is
3. At the
mm. The
10-5/0C and
rature, find
[15 M]
(E= 200
ing as sho
tion at point
re 5a) with
ad Wat whi
and 7 MP
ss occurs fo
4KN
2mO
ANI, HYD
C221 M
--------------
ssume suita
--------------
n in Figure
e to combin
rincipal str
Figure
rod BD (G
etermine th
Pa). Beam
n in Figure
B.
Figure
an overhan
ch the shea
respectivel
r the given l
A
ERABAD
CHANIC
Ma
--------------
le data whe
--------------
1, find the t
ed effect of
ins using M
2
39 GPa).
e angle of t
Figure 3
AC has a r
4, using sin
5b
supports th
r stress and
. Draw the
oading. Spe
W
2mC
CAMPUS
S OF SOL
. Marks =
--------------
rever necess
--------------
nsile stress.
twisting mo
ohr Circle.[15 M]
nowing th
ist at A. [1
ctangular c
gularity fun
[20 M]
e load syste
the compre
SFD and B
cify whethe
[25 M]
2m
IDS
0
-----
ary.
-----
If a
ment
(E=
t the
M]
oss
ction
m as
ssive
MD.
it is
B
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