Strength of Material 1 (SOM) Mechanical Engineeringhpcl questions .pptx
PraveenKumar575416
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150 slides
Jul 03, 2024
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About This Presentation
SOM
Slide Content
‘Your GATEway to Professional Excellence
If the slenderness ratio of a column is small, then
the crippling stress will be:
1) Low
2) zero
3) High
4) Constant
If the slenderness ratio of a column is small, then
the crippling stress will be:
1) Low
2) zero
3) High
4) Constant
‘Your GATEway to Professional Excellence
A thin cylinder of internal diameter 1m and
thickness 0.02 m contains a gas. The tensile stress
in the material is not to exceed 100 MPa then
determine the internal pressure of the gas
1) 10 N/mm?
2) 6 N/mm?
3) 8 N/mm?
4) 4 N/mm?
A thin cylinder of internal diameter 1m and
thickness 0.02 m contains a gas. The tensile stress
in the material is not to exceed 100 MPa then
determine the internal pressure of the gas
1) 10 N/mm?
2) 6 N/mm?
3) 8 N/mm?
4) 4 N/mm?
Your GATEway to Professional E o
In the case of a beam simply supported at both
ends, if the same load instead of being
concentrated at centre is distributed uniformly
throughout the length, then deflection at centre
will get reduced by
1) 1/2 times
2) 1/4 times
3) 5/8 times
4) 3/8 times
In the case of a beam simply supported at both
ends, if the same load instead of being
concentrated at centre is distributed uniformly
throughout the length, then deflection at centre
will get reduced by
1) 1/2 times
2) 1/4 times
3) 5/8 times
4) 3/8 times
‘Your GATEway to Professional Excellence
Under uniaxial loading, the maximum shear stress
is times the uniaxial stress
1) 0.5
2) 2
3)15
4)3
Under uniaxial loading, the maximum shear stress
is times the uniaxial stress
1) 0.5
2) 2
3)15
4)3
‘Your GATEway to Professional Excellence
A fixed beam of uniform section is carrying a point
load at its mid-span. If the moment of inertia of
the middle half-length is reduced to half its
previous value, then the fixed end moments will
1) Increase
2) Decrease
3) Remain unchanged
4) Change their direction
A fixed beam of uniform section is carrying a point
load at its mid-span. If the moment of inertia of
the middle half-length is reduced to half its
previous value, then the fixed end moments will
1) Increase
2) Decrease
3) Remain unchanged
4) Change their direction
‘Your GATEway to Professional Excellence
A circular steel bar of diameter d and length 31
fixed at both ends is loaded at intermediate
section by torques T and 2T as shown in the
following figure. The support reactions can be
given as
1) Ma = Tand Mg = 2T
2) Ma = 2T and Mg=T
3) Ma = 41/3 and Mg = 51/3
4) Ma = 51/3 and Mg = 41/3
A circular steel bar of diameter d and length 31
fixed at both ends is loaded at intermediate
section by torques T and 2T as shown in the
following figure. The support reactions can be
given as
1) Ma = Tand Mg = 2T
2) Ma = 2T and Mg=T
3) Ma = 41/3 and Mg = 51/3
4) Ma = 51/3 and Mg = 41/3
Your GATEway to Professional E
o
A cantilever of length | is propped at its free end.
The cantilever carries a uniformly distributed load
W per unit run. Find by how much above the level
of fixed end the level of prop must be fixed so that
the load may be equally shared by the supports.
De #
2) Gi se
33 el
4) 56, str
o
A cantilever of length | is propped at its free end.
The cantilever carries a uniformly distributed load
W per unit run. Find by how much above the level
of fixed end the level of prop must be fixed so that
the load may be equally shared by the supports.
De #
2) Gi se
33 el
4) 56, str
‘Your GATEway to Professional Excellence
If the magnitude of shear force is constant, then
the magnitude of the slope of bending moment
curve is
1) zero
2) increasing
3) decreasing
4) constant
If the magnitude of shear force is constant, then
the magnitude of the slope of bending moment
curve is
1) zero
2) increasing
3) decreasing
4) constant
‘Your GATEway to Professional Excellence
Transverse shear applied to a beam normally
results in
1) Normal stress only
2) Shear stress only
3) Normal and shear stress
4) Axial stress only
Transverse shear applied to a beam normally
results in
1) Normal stress only
2) Shear stress only
3) Normal and shear stress
4) Axial stress only
‘Your GATEway to Professional Excellence
A beam with uniform strength refers to which of
the following?
1) Where moment of inertia remains same all
along the section
2) Where bending stress is uniform at maximum
bending moment of the section
3) If the loading passes through the shear center,
the beam doesn't twist
4) If the beam has two axes of symmetry, the shear
center coincides with the centroid
A beam with uniform strength refers to which of
the following?
1) Where moment of inertia remains same all
along the section
2) Where bending stress is uniform at maximum
bending moment of the section
3) If the loading passes through the shear center,
the beam doesn't twist
4) If the beam has two axes of symmetry, the shear
center coincides with the centroid
‘Your GATEway to Professional Excellence
In the theory of simple bending of beams, which
one of the following assumptions is incorrect?
1) Elastic modulus in tension and compression are
same for the beam materials.
2) Plane sections remain plane before and after
bending.
3) Beam is initially straight.
4) Beam material should not be brittle.
In the theory of simple bending of beams, which
one of the following assumptions is incorrect?
1) Elastic modulus in tension and compression are
same for the beam materials.
2) Plane sections remain plane before and after
bending.
3) Beam is initially straight.
4) Beam material should not be brittle.
Your GATEway to Professional E
o
Two shaft of different diameter dı and dz are made
from same material and are of same length under
the action of same torque T the ratio of strain
energy Vi/V2
1) [d2/d,%
2) [d/d2]?
3) [d2/d,]?
4) [d2/d1]%
o
Two shaft of different diameter dı and dz are made
from same material and are of same length under
the action of same torque T the ratio of strain
energy Vi/V2
1) [d2/d,%
2) [d/d2]?
3) [d2/d,]?
4) [d2/d1]%
Your GATEway to Professional E
o
A simply supported beam PQ is loaded by a
moment of 1 KN-m at the mid span of the beam of
length 1 m. The reaction forces Rp and RQ at
supports P and Q respectively are
1) 1kN downward, 1 KN upward
2) 0.5 KN upward, 0.5 KN downward
3) 0.5 KN downward, 1 KN upward
4) 0.5 KN upward, 0.5 KN upward
o
A simply supported beam PQ is loaded by a
moment of 1 KN-m at the mid span of the beam of
length 1 m. The reaction forces Rp and RQ at
supports P and Q respectively are
1) 1kN downward, 1 KN upward
2) 0.5 KN upward, 0.5 KN downward
3) 0.5 KN downward, 1 KN upward
4) 0.5 KN upward, 0.5 KN upward
‘Your GATEway to Professional Excellence
How many number of points of contra flexure will
form in the continuous beam shown in the figure
below?
12
2)3
3) 4
4)5
How many number of points of contra flexure will
form in the continuous beam shown in the figure
below?
12
2)3
3) 4
4)5
Your GATEway to Professional E o
The rectangular beam ‘A’ has length |, width band
depth d. Another beam 'B' of same material has
the same length and width but depth is double
that of ‘A’. The elastic strength of beam B
compared to that of A will be
1) same
2) double
3) four times
4) six times
The rectangular beam ‘A’ has length |, width band
depth d. Another beam 'B' of same material has
the same length and width but depth is double
that of ‘A’. The elastic strength of beam B
compared to that of A will be
1) same
2) double
3) four times
4) six times
Your GATEway to Professional E
o
The value of maximum deflection for a cantilever
beam of length | and carrying uniformly varying
load from zero at free end to w per unit length at
fixed end
1) wi?/8El
2) W/16EI
3) wI*/30El
4) W/48EI
o
The value of maximum deflection for a cantilever
beam of length | and carrying uniformly varying
load from zero at free end to w per unit length at
fixed end
1) wi?/8El
2) W/16EI
3) wI*/30El
4) W/48EI
Your GATEway to Professional E o
If all the dimensions of a prismatic bar are
increases in the proportion n : 1, the proportion
with which the maximum stress produced in the
bar by its own weight will change by
1)1:n?
2)1:n
3) ín :1
4)n:1
If all the dimensions of a prismatic bar are
increases in the proportion n : 1, the proportion
with which the maximum stress produced in the
bar by its own weight will change by
1)1:n?
2)1:n
3) ín :1
4)n:1
‘Your GATEway to Professional Excellence
A simply supported beam of length L is subject to two
point loads, each of P unit, at A and B equidistant from
supports. Select the correct statement
1) There will be no shear force between A and B and no
bending moment between A and B.
2) There will be no shear force between A and B, but there
will be uniform bending moment between A and B.
3) There will be uniform shear force between A and B, but
bending moment will gradually increase to maximum up
to mid point of A and B.
4) There will be uniform shear force between A and B,
with maximum bending moment at A and B with gradual
decrease to zero at mid point of A and B.
A simply supported beam of length L is subject to two
point loads, each of P unit, at A and B equidistant from
supports. Select the correct statement
1) There will be no shear force between A and B and no
bending moment between A and B.
2) There will be no shear force between A and B, but there
will be uniform bending moment between A and B.
3) There will be uniform shear force between A and B, but
bending moment will gradually increase to maximum up
to mid point of A and B.
4) There will be uniform shear force between A and B,
with maximum bending moment at A and B with gradual
decrease to zero at mid point of A and B.
o Professional Excellence
A graphical representation of the elastic theory is
shown in the below figure. The theory is called:
1) maximum shear stress theory
2) maximum principal strain theory
3) maximum shear strain energy theory
4) maximum principal stress theory
A graphical representation of the elastic theory is
shown in the below figure. The theory is called:
1) maximum shear stress theory
2) maximum principal strain theory
3) maximum shear strain energy theory
4) maximum principal stress theory
Shear stress distribution on the cross-section of the coil wire
in a helical compression spring is shown in the figure. This
shear stress distribution represents
1) torsional shear stress in the coil wire cross-section
2) combined direct shear and torsional shear stress in the
coil wire cross-section
3) direct shear stress in the coil wire cross-section
4) combined direct shear and torsional shear stress along
with the effect of stress concentration at inside edge of the
coil wire cross-section
in a helical compression spring is shown in the figure. This
shear stress distribution represents
1) torsional shear stress in the coil wire cross-section
2) combined direct shear and torsional shear stress in the
coil wire cross-section
3) direct shear stress in the coil wire cross-section
4) combined direct shear and torsional shear stress along
with the effect of stress concentration at inside edge of the
coil wire cross-section
Your GATEway to Professional E
The ratio of stress induced due to sudden applied
axial load to stress induced due to gradually
applied axial load on a bar is.
2
2)15
3)25
4)3
The ratio of stress induced due to sudden applied
axial load to stress induced due to gradually
applied axial load on a bar is.
2
2)15
3)25
4)3
Your GATEway to Professional E
A closely coiled helical spring of 20 cm mean
diameter is having 25 coils of 2 cm diameter
rod. The modulus of rigidity of the material is 107
N/cm?. What is the stiffness for the spring
in N/cm?
1) 50
2) 100
3) 250
4) 500
A closely coiled helical spring of 20 cm mean
diameter is having 25 coils of 2 cm diameter
rod. The modulus of rigidity of the material is 107
N/cm?. What is the stiffness for the spring
in N/cm?
1) 50
2) 100
3) 250
4) 500
‘Your GATEway to Professional Excellence
The relation between bulk modulus (K) and
Young's modulus (E) and Poisson's ratio (1/m) is
given by:
1) K= mE/3
2) K = E/[3(m - 2)]
3) K= mE/(3m)
4) K = mE/[3(m - 2)]
The relation between bulk modulus (K) and
Young's modulus (E) and Poisson's ratio (1/m) is
given by:
1) K= mE/3
2) K = E/[3(m - 2)]
3) K= mE/(3m)
4) K = mE/[3(m - 2)]
Your GATEway to Professional E
o
The angle between the principle plane and the
plane of maximum shear is
1) 90 degree
2) 125 degree
3) 60 degree
4) None of these
o
The angle between the principle plane and the
plane of maximum shear is
1) 90 degree
2) 125 degree
3) 60 degree
4) None of these
Your GATEway to Professional E o
The pressure within the cylinder of a hydraulic
press is 9 MPa. The inside diameter of the cylinder
is 500 mm. Ifthe permissible tensile stress is 180
N/mm2, the minimum wall thickness of the
cylinder is:
1) 12.5 mm
2) 6.25 mm
3) 9 mm
4) 25 mm
The pressure within the cylinder of a hydraulic
press is 9 MPa. The inside diameter of the cylinder
is 500 mm. Ifthe permissible tensile stress is 180
N/mm2, the minimum wall thickness of the
cylinder is:
1) 12.5 mm
2) 6.25 mm
3) 9 mm
4) 25 mm
‘Your GATEway to Professional Excellence
Which of the following failure theories is suitable
for brittle material?
1) Maximum Normal Strain Theory
2) Maximum Shear Stress Theory
3) Maximum Strain Energy Theory
4) Maximum Normal Stress Theory
Which of the following failure theories is suitable
for brittle material?
1) Maximum Normal Strain Theory
2) Maximum Shear Stress Theory
3) Maximum Strain Energy Theory
4) Maximum Normal Stress Theory
Your GATEway to Professional E
o
A circular shaft is subjected to a torque ‘T’ which is
half of the bending moment applied, then the
ratio of maximum bending stress and maximum
shear stress is
m2
2) 4
3)3
4)15
o
A circular shaft is subjected to a torque ‘T’ which is
half of the bending moment applied, then the
ratio of maximum bending stress and maximum
shear stress is
m2
2) 4
3)3
4)15
‘Your GATEway to Professional Excellence
In helical compression spring design formula:
8PC
( nd?
where P= load, C = spring index, d = wire
diameter, and K = Wahl's factor
The Wahl factor takes into account:
1) the bending stress due to helix of the spring
2) the direct shear and the curvature of the spring
3) the elastic constants (modulus of rigidity and
Poisson's ratio) of the spring
4) the effect of the inactive number of coils at the
ends of the spring
In helical compression spring design formula:
8PC
( nd?
where P= load, C = spring index, d = wire
diameter, and K = Wahl's factor
The Wahl factor takes into account:
1) the bending stress due to helix of the spring
2) the direct shear and the curvature of the spring
3) the elastic constants (modulus of rigidity and
Poisson's ratio) of the spring
4) the effect of the inactive number of coils at the
ends of the spring
‘Your GATEway to Professional Excellence
The thin-walled cylindrical vessel has the wall
thickness t and diameter d and is subjected to the
gauge pressure of P. If the diameter of the vessel is
made half of its initial value, then what is the ratio
of final hoop stress as compared to the initial
value?
1)1:1
2)2:1
3)1:2
4)1:4
The thin-walled cylindrical vessel has the wall
thickness t and diameter d and is subjected to the
gauge pressure of P. If the diameter of the vessel is
made half of its initial value, then what is the ratio
of final hoop stress as compared to the initial
value?
1)1:1
2)2:1
3)1:2
4)1:4
Your GATEway to Professional E
o
A cantilever beam of rectangular cross-section is
subjected to a point load at its free end. If the
width and depth of the beam section are doubled,
then the deflection at the free end of the beam
will be reduced to
1) 6.25%
2) 15%
3) 25.5%
4) 29%
o
A cantilever beam of rectangular cross-section is
subjected to a point load at its free end. If the
width and depth of the beam section are doubled,
then the deflection at the free end of the beam
will be reduced to
1) 6.25%
2) 15%
3) 25.5%
4) 29%
‘Your GATEway to Professional Excellence
If both the mean coil diameter and wire diameter
of a helical compression or tension spring be
doubled, then the deflection of the spring close
coiled under same applied load will
1) be doubled
2) be halved
3) increase four times
4) get reduced to one - fourth
If both the mean coil diameter and wire diameter
of a helical compression or tension spring be
doubled, then the deflection of the spring close
coiled under same applied load will
1) be doubled
2) be halved
3) increase four times
4) get reduced to one - fourth
Buckling loads (P;) of 4 columns of equal length and
cross-section, but with different end conditions are
shown below. Which of the following is TRUE?
1) Pi <P2<P3 < Py
2) Ps < P4 < Pa < Po
3) Py < Pa < Po < Ps
4) P3 < Pa < Py < Po
cross-section, but with different end conditions are
shown below. Which of the following is TRUE?
1) Pi <P2<P3 < Py
2) Ps < P4 < Pa < Po
3) Py < Pa < Po < Ps
4) P3 < Pa < Py < Po
‘Your GATEway to Professional Excellence
A vertical column has two moments of inertia (i.e.
Lx and lyy). The column will tend to buckle in the
direction of the:
1) axis of load
2) perpendicular to the axis of load
3) maximum moment of inertia
4) minimum moment of inertia
A vertical column has two moments of inertia (i.e.
Lx and lyy). The column will tend to buckle in the
direction of the:
1) axis of load
2) perpendicular to the axis of load
3) maximum moment of inertia
4) minimum moment of inertia
Your GATEway to Professional E o
If flexural rigidity of a column whose length is L
and the loaded end is free, is El, the critical load
will be
1) P¿= TEI/(4L?)
2) P¿= n2El/(4L2)
3) Pc = nEl2/(4L2)
4) None of these
If flexural rigidity of a column whose length is L
and the loaded end is free, is El, the critical load
will be
1) P¿= TEI/(4L?)
2) P¿= n2El/(4L2)
3) Pc = nEl2/(4L2)
4) None of these
‘Your GATEway to Professional Excellence
Stiffness of a close coiled helical spring in terms of
wire diameter d, modulus of rigidity G, number of
turns n and mean coil radius R is given by:
) Gd‘
16nR
Gd
2) 32nR?
) Ga!
64nR°
) Ga!
128nR*
Stiffness of a close coiled helical spring in terms of
wire diameter d, modulus of rigidity G, number of
turns n and mean coil radius R is given by:
) Gd‘
16nR
Gd
2) 32nR?
) Ga!
64nR°
) Ga!
128nR*
‘Your GATEway to Professional Excellence
Strain energy stored in a prismatic bar suspended
from one end due to its own weight (elastic
behaviour) [x = specific weight of material, A =
cross-sectional area, L = length of bar]:
__ ear?
DU = x
_ zAl?
Du
_ æ AL
3)U= "35
AU = 22 ALS
Strain energy stored in a prismatic bar suspended
from one end due to its own weight (elastic
behaviour) [x = specific weight of material, A =
cross-sectional area, L = length of bar]:
__ ear?
DU = x
_ zAl?
Du
_ æ AL
3)U= "35
AU = 22 ALS
‘Your GATEway to Professional Excellence
Total strain energy stored in a simply supported
beam of span, 'L' and flexural rigidity 'El 'subjected
to a concentrated load 'W' at the centre is equal to:
I
a
++
A
Total strain energy stored in a simply supported
beam of span, 'L' and flexural rigidity 'El 'subjected
to a concentrated load 'W' at the centre is equal to:
I
a
++
A
‘Your GATEway to Professional Excellence
A round bar 'A' of length 'L' and diameter 'D' is
subjected to an axial force producing stress ©.
Another round bar B of the same material but
diameter 2D and length O.5L is also subjected to
the same stress ©. The ratio of strain energy in bar
Ato the strain energy in bar Bis given by
1) 0.5
2)1
3)2
4)15
A round bar 'A' of length 'L' and diameter 'D' is
subjected to an axial force producing stress ©.
Another round bar B of the same material but
diameter 2D and length O.5L is also subjected to
the same stress ©. The ratio of strain energy in bar
Ato the strain energy in bar Bis given by
1) 0.5
2)1
3)2
4)15
Your GATEway to Professional E
o
A thin cylindrical shell of internal diameter ‘D’ and
thickness 't' is subjected to internal pressure ‘p’.
The change in diameter is given by
1) a CE v)
2) ae — 21)
a 2 (2 — v)
RE e (1 — 24)
o
A thin cylindrical shell of internal diameter ‘D’ and
thickness 't' is subjected to internal pressure ‘p’.
The change in diameter is given by
1) a CE v)
2) ae — 21)
a 2 (2 — v)
RE e (1 — 24)
Your GATEway to Professional E
o
A simply supported beam of span L and flexural
rigidity El carries a unit point load at its centre. The
strain energy in the beam due to bending is
1) L3/48E1
2) L3/192E1
3) L%/96El
4) L3/I6EI
o
A simply supported beam of span L and flexural
rigidity El carries a unit point load at its centre. The
strain energy in the beam due to bending is
1) L3/48E1
2) L3/192E1
3) L%/96El
4) L3/I6EI
Your GATEway to Professional E
o
A fixed beam of length L carries a point load W at
the centre. The deflection at the centre is
1) one-fourth of the deflection of simply supported
beam
2) half of the deflection for simply supported beam
3) double the deflection for a simply supported
beam
4) none of the above
o
A fixed beam of length L carries a point load W at
the centre. The deflection at the centre is
1) one-fourth of the deflection of simply supported
beam
2) half of the deflection for simply supported beam
3) double the deflection for a simply supported
beam
4) none of the above
‘Your GATEway to Professional Excellence
Choose the correct statements from the following:
1. Hooke's law is valid up to the limit of
proportionality.
2. Hooke's law is valid up to elastic limit.
3. Limit of proportionality is always less than the
elastic limit.
4. Limit of proportionality is either equal to or less
than the elastic limit.
The correct answer is
1) 1and 4
2) 2and 4
3) land 3
4) 2 and 3
Choose the correct statements from the following:
1. Hooke's law is valid up to the limit of
proportionality.
2. Hooke's law is valid up to elastic limit.
3. Limit of proportionality is always less than the
elastic limit.
4. Limit of proportionality is either equal to or less
than the elastic limit.
The correct answer is
1) 1and 4
2) 2and 4
3) land 3
4) 2 and 3
‘Your GATEway to Professional Excellence
Which theory of failure will you use for aluminium
components under steady loading?
1) Maximum principal stress theory
2) Maximum shear stress theory
3) Maximum strain energy theory
4) Maximum principal strain theory
Which theory of failure will you use for aluminium
components under steady loading?
1) Maximum principal stress theory
2) Maximum shear stress theory
3) Maximum strain energy theory
4) Maximum principal strain theory
‘Your GATEway to Professional Excellence
The maximum deflection of a cantilever due to
pure moment 'M' at its free end, is:
nr
2) À
3) Yu
4) ME
The maximum deflection of a cantilever due to
pure moment 'M' at its free end, is:
nr
2) À
3) Yu
4) ME
‘Your GATEway to Professional Excellence
The first theorem of Castigliano's state that in a
beam or truss subjected to any load system, the
deflection at any point y is given by the partial
differential coefficient of X w.r.t. force P, acting at
the point y in the direction in which the deflection
is desired, where X is:
1) angular deflection
2) moment of inertia
3) load with respect to position
4) total strain energy
The first theorem of Castigliano's state that in a
beam or truss subjected to any load system, the
deflection at any point y is given by the partial
differential coefficient of X w.r.t. force P, acting at
the point y in the direction in which the deflection
is desired, where X is:
1) angular deflection
2) moment of inertia
3) load with respect to position
4) total strain energy
Your GATEway to Professional E
o
A simply supported rectangular beam of span ‘L’
and depth ‘d’ carries a central load ‘W’. The ratio of
maximum deflection to maximum bending stress
is
1) L2/6 Ed
2) L?/8 Ed
3) L2/48 Ed
4) L2/12 Ed
o
A simply supported rectangular beam of span ‘L’
and depth ‘d’ carries a central load ‘W’. The ratio of
maximum deflection to maximum bending stress
is
1) L2/6 Ed
2) L?/8 Ed
3) L2/48 Ed
4) L2/12 Ed
‘Your GATEway to Professional Excellence
A simply supported beam of width 'b' and depth
'd' is subjected to a point load 'w' at its centre
causing deflection 'd' at that point. If the width
and depth are interchanged the central deflection
would be:
1) ($)6
2) (3)°6
3) ($39
4) (576
A simply supported beam of width 'b' and depth
'd' is subjected to a point load 'w' at its centre
causing deflection 'd' at that point. If the width
and depth are interchanged the central deflection
would be:
1) ($)6
2) (3)°6
3) ($39
4) (576
Your GATEway to Professional E
o
The maximum value of bending moment in the
simply supported beam with a concentrated load
P at its mid span is
1) PL/4
2) PL/2
3) PL
4) PL/8
o
The maximum value of bending moment in the
simply supported beam with a concentrated load
P at its mid span is
1) PL/4
2) PL/2
3) PL
4) PL/8
‘Your GATEway to Professional Excellence
The slope of a bending moment diagram gives
1) Tensile force
2) Shear force
3) Compressive force
4) Couple
The slope of a bending moment diagram gives
1) Tensile force
2) Shear force
3) Compressive force
4) Couple
‘Your GATEway to Professional Excellence
If a simply - supported beam of span L carries a
moment force at its mid-span, then the shear
force diagram will be
1) triangular
2) rectangular
3) parabolic
4) cubic parabolic
If a simply - supported beam of span L carries a
moment force at its mid-span, then the shear
force diagram will be
1) triangular
2) rectangular
3) parabolic
4) cubic parabolic
‘Your GATEway to Professional Excellence
The radius of Mohr's circle is represented by [0xx,
Oyy = Direct stress and 1,, = Shear stress]:
1) A
(Crete)
2)
METE =) +72,
a)
The radius of Mohr's circle is represented by [0xx,
Oyy = Direct stress and 1,, = Shear stress]:
1) A
(Crete)
2)
METE =) +72,
a)
Your GATEway to Professional E
o
Which of the following figures may represent
Mohr's circle?
1
2)
3)
4)
o
Which of the following figures may represent
Mohr's circle?
1
2)
3)
4)
Your GATEway to Professional E
y
The stress tensor at a point on a plane is given as
110 25
N/mm?. The sum of the normal
25 60
resses at-a plane making an angle of 45° from
the given plane will be
1) 88 N/mm?
2) 110 N/mm?
3) 60 N/mm?
4) 170 N/mm?
y
The stress tensor at a point on a plane is given as
110 25
N/mm?. The sum of the normal
25 60
resses at-a plane making an angle of 45° from
the given plane will be
1) 88 N/mm?
2) 110 N/mm?
3) 60 N/mm?
4) 170 N/mm?
‘Your GATEway to Professional Excellence
Consider the following statements:
Maximum shear stress induced in a power
transmitting shaft is:
1. directly proportional to the torque being
transmitted
2. inversely proportional to the cube of its diameter
3. directly proportional to its polar moment of inertia
Which of the statements given above are correct?
1)1,2and3
2)land3
3) 2and 3
4) land 2
Consider the following statements:
Maximum shear stress induced in a power
transmitting shaft is:
1. directly proportional to the torque being
transmitted
2. inversely proportional to the cube of its diameter
3. directly proportional to its polar moment of inertia
Which of the statements given above are correct?
1)1,2and3
2)land3
3) 2and 3
4) land 2
Your GATEway to Professional E o
If the diameter of a shaft subjected to torque
alone is doubled, then the horsepower P can be
increased to
1)16P
2)8P
3) 4P
4)2P
If the diameter of a shaft subjected to torque
alone is doubled, then the horsepower P can be
increased to
1)16P
2)8P
3) 4P
4)2P
‘Your GATEway to Professional Excellence
A circular shaft fixed at A has diameter D for half
of its length and diameter D/2 over the other half.
What is the rotation of C relative to B if the
operation of B relative to A is 0.1 radians?
1) 0.4 radians
2) 0.8 radians
3) 1.6 radians
4) 3.2 radians
A circular shaft fixed at A has diameter D for half
of its length and diameter D/2 over the other half.
What is the rotation of C relative to B if the
operation of B relative to A is 0.1 radians?
1) 0.4 radians
2) 0.8 radians
3) 1.6 radians
4) 3.2 radians
‘Your GATEway to Professional Excellence
The variation of stress in the simple bending of
beams is
1) parabolic
2) elliptical
3) hyperbolical
4) linear
The variation of stress in the simple bending of
beams is
1) parabolic
2) elliptical
3) hyperbolical
4) linear
‘Your GATEway to Professional Excellence
The ratio of the section modulus of a square section
of side B and that of a circular section of diameter D
is:
Assume B = D
A 15
it
B. Bn
E
D.
a las le
1) [A] Only
2) [B] Only
3) [C] Only
4) [D] Only
The ratio of the section modulus of a square section
of side B and that of a circular section of diameter D
is:
Assume B = D
A 15
it
B. Bn
E
D.
a las le
1) [A] Only
2) [B] Only
3) [C] Only
4) [D] Only
y to Professional Excellence
A beam cross-section is used in two different
orientations as shown in figure given below:
Bending moments applied to the beam is both cases
are same. The maximum bending stresses induced in
case (A) and (B) are related as:
1) 0, = 08
2) on = 208
Zos= À
4) o4 = Æ
A beam cross-section is used in two different
orientations as shown in figure given below:
Bending moments applied to the beam is both cases
are same. The maximum bending stresses induced in
case (A) and (B) are related as:
1) 0, = 08
2) on = 208
Zos= À
4) o4 = Æ
‘Your GATEway to Professional Excellence
The bulk modulus of K, modulus of elasticity E and
Poisson’s ratio is JL then which of the following is
true-
The bulk modulus of K, modulus of elasticity E and
Poisson’s ratio is JL then which of the following is
true-
Your GATEway to Professional E o
Modulus of Rigidity is related to
1) Length
2) Shape
3) Size
4) Volume
Modulus of Rigidity is related to
1) Length
2) Shape
3) Size
4) Volume
Your GATEway to Professional E
o
Assume that young's modulus of a wire of length L
and radius 'r' is Y. If length is reduced to L/2 and
radius r/2 then what will be its young's modulus?
1) halved
2) doubled
3) unaffected
4) One-fourth of its original value
o
Assume that young's modulus of a wire of length L
and radius 'r' is Y. If length is reduced to L/2 and
radius r/2 then what will be its young's modulus?
1) halved
2) doubled
3) unaffected
4) One-fourth of its original value
Your GATEway to Professional E o
In a homogenous, isotropic elastic material, the
modulus of elasticity E in terms of G and K is equal
to
1) (G + 3K)/9KG
2) (3G + K)/9KG
3) 9KG/(G + 3k)
4) 9KG/(K + 3G)
In a homogenous, isotropic elastic material, the
modulus of elasticity E in terms of G and K is equal
to
1) (G + 3K)/9KG
2) (3G + K)/9KG
3) 9KG/(G + 3k)
4) 9KG/(K + 3G)
Your GATEway to Professional E
o
With one fixed end and other free end, a column
of length L buckles at load, P¡. Another column of
same length and same cross-section fixed at both
ends buckles at load P2. Value of P,/Pı is
1)1
2)2
3)4
4) 16
o
With one fixed end and other free end, a column
of length L buckles at load, P¡. Another column of
same length and same cross-section fixed at both
ends buckles at load P2. Value of P,/Pı is
1)1
2)2
3)4
4) 16
Your GATEway to Professional E o
What is the expression for crippling load for a
column with both ends hinged?
m2EI
1) a
— 3m?El
27 0%
_ 5mEl
ie (0?
4)P= mEI
What is the expression for crippling load for a
column with both ends hinged?
m2EI
1) a
— 3m?El
27 0%
_ 5mEl
ie (0?
4)P= mEI
Your GATEway to Professional E o
Short column and long column fail in
1) Buckling and Crushing respectively
2) Crushing and Buckling respectively
3) Combined Buckling and Crushing
4) None of the above
Short column and long column fail in
1) Buckling and Crushing respectively
2) Crushing and Buckling respectively
3) Combined Buckling and Crushing
4) None of the above
Your GATEway to Professional E o
According to Euler's column theory, the crippling
load for a column of length (I) fixed at both ends is
the crippling load for a similar column
hinged at both ends.
1) Equal to
2) 4 times
3) 2 times
4) 8 times
According to Euler's column theory, the crippling
load for a column of length (I) fixed at both ends is
the crippling load for a similar column
hinged at both ends.
1) Equal to
2) 4 times
3) 2 times
4) 8 times
Your GATEway to Professional E
o
Slenderness ratio of a long column is
1) Area of cross-section divided by radius of
gyration
2) Area of cross-section divided by least radius of
gyration
3) Radius of gyration divided by area of cross-
section
4) Length of column divided by least radius of
gyration
o
Slenderness ratio of a long column is
1) Area of cross-section divided by radius of
gyration
2) Area of cross-section divided by least radius of
gyration
3) Radius of gyration divided by area of cross-
section
4) Length of column divided by least radius of
gyration
‘Your GATEway to Professional Excellence
A thin cylinder shell of diameter (d), length (I) and
thickness (I), is subjected to an internal pressure
(p). The circumferential or hoop strain is
ne = (1 - 2v)
Var = (1— 2v)
3 % = Sí — 1)
4) £5 (2 —v)
A thin cylinder shell of diameter (d), length (I) and
thickness (I), is subjected to an internal pressure
(p). The circumferential or hoop strain is
ne = (1 - 2v)
Var = (1— 2v)
3 % = Sí — 1)
4) £5 (2 —v)
Your GATEway to Professional E
o
A compressed air spherical tank having an inner
diameter of 450 mm and a wall thickness of 7 mm
is formed by welding. If the allowable shear stress
is 40 MPa, the maximum permissible air pressure
in the tank will be nearly
1) 3 MPa
2) 5 MPa
3) 7 MPa
4) 9 MPa
o
A compressed air spherical tank having an inner
diameter of 450 mm and a wall thickness of 7 mm
is formed by welding. If the allowable shear stress
is 40 MPa, the maximum permissible air pressure
in the tank will be nearly
1) 3 MPa
2) 5 MPa
3) 7 MPa
4) 9 MPa
‘Your GATEway to Professional Excellence
For a thin spherical shell subjected to internal
pressure, the ratio of volumetric strain to
diametrical strain is
5:4
2)3:2
3)2:1
4)3:1
For a thin spherical shell subjected to internal
pressure, the ratio of volumetric strain to
diametrical strain is
5:4
2)3:2
3)2:1
4)3:1
Your GATEway to Professional E
o
A thin spherical shell is subjected to an external
pressure po. The volumetric strain of the spherical
shell is (where d is the diameter of shell t is the
thickness of the shell E is Young's modulus of
elasticity of shell material u is Poisson's ratio of
shell material).
1) LE 5 (5 — 4p)
3Po
ae (11)
3) 25 (124)
3p,d
4) "(1 — 4)
o
A thin spherical shell is subjected to an external
pressure po. The volumetric strain of the spherical
shell is (where d is the diameter of shell t is the
thickness of the shell E is Young's modulus of
elasticity of shell material u is Poisson's ratio of
shell material).
1) LE 5 (5 — 4p)
3Po
ae (11)
3) 25 (124)
3p,d
4) "(1 — 4)
‘Your GATEway to Professional Excellence
A solid metal bar of uniform diameter D and
length L is hung vertically. If p is density and E is
the young's then the elongation due to self-weight
is
ne
2) 8
Slee
4) St
A solid metal bar of uniform diameter D and
length L is hung vertically. If p is density and E is
the young's then the elongation due to self-weight
is
ne
2) 8
Slee
4) St
‘Your GATEway to Professional Excellence
A composite bar made of copper and steel is
heated to 120°C from room temperature. If a. > a,
the stress induced in copper bar is:
1) Shear stress
2) Compressive stress
3) No stress
4) Tensile stress
A composite bar made of copper and steel is
heated to 120°C from room temperature. If a. > a,
the stress induced in copper bar is:
1) Shear stress
2) Compressive stress
3) No stress
4) Tensile stress
‘Your GATEway to Professional Excellence
A steel bar of 8 mm is heated from 10° C to 25° C
and the bar is free to expand. The bar will induce
1) Tensile stress
2) No stress
3) Compressive stress
4) Shear stress
A steel bar of 8 mm is heated from 10° C to 25° C
and the bar is free to expand. The bar will induce
1) Tensile stress
2) No stress
3) Compressive stress
4) Shear stress
Your GATEway to Professional E
o
The total elongation produced in a bar of uniform
section hanging vertically downwards due to its
own weight is equal to that produced by a weight-
1) of same magnitude as that of bar and applied at
the lower end
2) half the weight of bar applied at the lower end
3) half of the square of weight of bar applied at the
lower end
4) one-fourth of weight of bar applied at the lower
end
o
The total elongation produced in a bar of uniform
section hanging vertically downwards due to its
own weight is equal to that produced by a weight-
1) of same magnitude as that of bar and applied at
the lower end
2) half the weight of bar applied at the lower end
3) half of the square of weight of bar applied at the
lower end
4) one-fourth of weight of bar applied at the lower
end
‘Your GATEway to Professional Excellence
Tensile stress in thin spherical shell subjected to
internal pressure is
d
i)
2) À
3) #
pd
4) 3
Tensile stress in thin spherical shell subjected to
internal pressure is
d
i)
2) À
3) #
pd
4) 3
Your GATEway to Professional E
o
A pressure cooker has diameter of 25 cm and
internal pressure of 1 MPa and thickness is 5 mm,
then hoop stress developed is
1) 25 MPa
2) 12.5 MPa
3) 50 MPa
4) 1 MPa
o
A pressure cooker has diameter of 25 cm and
internal pressure of 1 MPa and thickness is 5 mm,
then hoop stress developed is
1) 25 MPa
2) 12.5 MPa
3) 50 MPa
4) 1 MPa
‘Your GATEway to Professional Excellence
A seamless pipe of diameter d m is to carry fluid
under a pressure of p kN/cm?. The necessary
thickness t of metal in cm, if the maximum stress
is not to exceed o kN/cm? is
nt> em
100;
2)t > 10 om
3)t< 2 cm
100;
at < 12 cm
A seamless pipe of diameter d m is to carry fluid
under a pressure of p kN/cm?. The necessary
thickness t of metal in cm, if the maximum stress
is not to exceed o kN/cm? is
nt> em
100;
2)t > 10 om
3)t< 2 cm
100;
at < 12 cm
‘Your GATEway to Professional Excellence
In case of a thin cylindrical shell, subjected to an
internal fluid pressure, the volumetric strain is
equal to
1) circumferential strain plus longitudinal strain
2) circumferential strain plus twice the
longitudinal strain
3) twice the circumferential strain plus
longitudinal strain
4) twice the circumferential strain plus twice the
longitudinal strain
In case of a thin cylindrical shell, subjected to an
internal fluid pressure, the volumetric strain is
equal to
1) circumferential strain plus longitudinal strain
2) circumferential strain plus twice the
longitudinal strain
3) twice the circumferential strain plus
longitudinal strain
4) twice the circumferential strain plus twice the
longitudinal strain
‘Your GATEway to Professional Excellence
Total number of independent elastic constant of
an isotropic material are:
1)2
2)3
3)4
4)5
Total number of independent elastic constant of
an isotropic material are:
1)2
2)3
3)4
4)5
‘Your GATEway to Professional Excellence
An elastic body is subjected to a direct
compressive stress P, in the longitudinal direction.
If the lateral strains in other two directions are
prevented by applying Py and P, in these
directions, then Py = Pz is equal to (u is Poisson's
Ratio)
n
2) HPx
3)
4)
An elastic body is subjected to a direct
compressive stress P, in the longitudinal direction.
If the lateral strains in other two directions are
prevented by applying Py and P, in these
directions, then Py = Pz is equal to (u is Poisson's
Ratio)
n
2) HPx
3)
4)
‘Your GATEway to Professional Excellence
If a piece of material neither expands nor
contracts in volume when subjected to stress,
then the Poisson's ratio must be
1) Zero
2) 0.25
3) 0.33
4) 0.5
If a piece of material neither expands nor
contracts in volume when subjected to stress,
then the Poisson's ratio must be
1) Zero
2) 0.25
3) 0.33
4) 0.5
‘Your GATEway to Professional Excellence
Volumetric strain (ey) is given by ___
Here, ox = stress in x-direction, oy = stress in y-
direction, 0, = stress in z-direction, u = Poisson ratio
and E = Modulus of Elasticity.
1 (01+02+03)x (1-21)
) E
2) um) zn
(01+02+03)
Ex(1-2p)
ra
Ex(2—)
3)
4)
Volumetric strain (ey) is given by ___
Here, ox = stress in x-direction, oy = stress in y-
direction, 0, = stress in z-direction, u = Poisson ratio
and E = Modulus of Elasticity.
1 (01+02+03)x (1-21)
) E
2) um) zn
(01+02+03)
Ex(1-2p)
ra
Ex(2—)
3)
4)
Your GATEway to Professional E
o
Which of the beams develop thermal stresses on
heating?
1) Simply supported
2) Cantilever
3) Fixed
4) None of these
o
Which of the beams develop thermal stresses on
heating?
1) Simply supported
2) Cantilever
3) Fixed
4) None of these
‘Your GATEway to Professional Excellence
A rigid body is very slowly dropped on another
body and a deflection à. occurs in the second
body. Ifthe rigid body be placed suddenly, the
value of the impact factor will be:
10
2)1
3) ©
4)2
A rigid body is very slowly dropped on another
body and a deflection à. occurs in the second
body. Ifthe rigid body be placed suddenly, the
value of the impact factor will be:
10
2)1
3) ©
4)2
Your GATEway to Professional E
o
The ratio of the length and depth of a simply
supported rectangular beam which experiences
maximum bending stress equal to tensile stress
due to same load at its mid span is
1)1/2
2) 2/3
3) 1/4
4) 1/3
o
The ratio of the length and depth of a simply
supported rectangular beam which experiences
maximum bending stress equal to tensile stress
due to same load at its mid span is
1)1/2
2) 2/3
3) 1/4
4) 1/3
‘Your GATEway to Professional Excellence
The steel bars in a concrete beam are embedded
1) uniformly
2) near bottom section
3) in the centre
4) near top section
The steel bars in a concrete beam are embedded
1) uniformly
2) near bottom section
3) in the centre
4) near top section
‘Your GATEway to Professional Excellence
The cross-section of three solid bars is shown in
the figure. All three cross-sections have the same
area and made up of the same material. Compare
the section modulus.
1) ire zZ Dato < Aitana
2) erase > Dia — ment
3) mare = 4circle = remera
4) Tiniare > Dies > bare
The cross-section of three solid bars is shown in
the figure. All three cross-sections have the same
area and made up of the same material. Compare
the section modulus.
1) ire zZ Dato < Aitana
2) erase > Dia — ment
3) mare = 4circle = remera
4) Tiniare > Dies > bare
Your GATEway to Professional E o
A beam of a triangular cross-section is subjected
to a shear force of 50 KN. The base width of the
section is 250 mm and the height is 200 mm. The
beam is placed with its base horizontal. The shear
stress at a neutral axis will be nearly
1) 2.2 N/mm?
2) 2.7 N/mm?
3) 3.2 N/mm?
4) 3.7 N/mm?
A beam of a triangular cross-section is subjected
to a shear force of 50 KN. The base width of the
section is 250 mm and the height is 200 mm. The
beam is placed with its base horizontal. The shear
stress at a neutral axis will be nearly
1) 2.2 N/mm?
2) 2.7 N/mm?
3) 3.2 N/mm?
4) 3.7 N/mm?
‘Your GATEway to Professional Excellence
The ratio of maximum shear stress to average
shear stress in a beam of the rectangular cross-
section is:
1) 3.0
2) 2.5
3) 2.0
4)15
The ratio of maximum shear stress to average
shear stress in a beam of the rectangular cross-
section is:
1) 3.0
2) 2.5
3) 2.0
4)15
‘Your GATEway to Professional Excellence
For a given shear force across the symmetrical ‘I’
section, the intensity of shear stress is maximum
atthe
1) Junction of the flange and the web, but on web
2) Junction of the flange and the web, but on the
flange
3) Centroid of the section
4) Extreme fibers
For a given shear force across the symmetrical ‘I’
section, the intensity of shear stress is maximum
atthe
1) Junction of the flange and the web, but on web
2) Junction of the flange and the web, but on the
flange
3) Centroid of the section
4) Extreme fibers
‘Your GATEway to Professional Excellence
A beam has a triangular cross-section having base
b & altitude h. If the section of the beam is
subjected to a shear force F, the shear stress at the
level of neutral axis in the cross-section is given by:
LE EN
3
2) oh
8F
3) a
4) à on
A beam has a triangular cross-section having base
b & altitude h. If the section of the beam is
subjected to a shear force F, the shear stress at the
level of neutral axis in the cross-section is given by:
LE EN
3
2) oh
8F
3) a
4) à on
‘Your GATEway to Professional Excellence
What is the nature of distribution of shear stress in
a rectangular beam?
1) Linear
2) Parabolic
3) Hyperbolic
4) Elliptic
What is the nature of distribution of shear stress in
a rectangular beam?
1) Linear
2) Parabolic
3) Hyperbolic
4) Elliptic
‘Your GATEway to Professional Excellence
The capacity of a strained body for doing work on
the removal of the straining force is called
1) Strain energy
2) Resilience
3) Proof resilience
4) Impact energy
The capacity of a strained body for doing work on
the removal of the straining force is called
1) Strain energy
2) Resilience
3) Proof resilience
4) Impact energy
‘Your GATEway to Professional Excellence
The strain energy U stored due to bending of the
cantilever beam due to point load at the free end
will be
PR
D gar
PR
2) SET
PS
3) 3687
P2B
36ET
4)
The strain energy U stored due to bending of the
cantilever beam due to point load at the free end
will be
PR
D gar
PR
2) SET
PS
3) 3687
P2B
36ET
4)
‘Your GATEway to Professional Excellence
In the calculation of induced shear stress in helical
springs, the Wahl's correction factor is used to
take care of
1) Combined effect of transverse shear stress and
bending stress in the wire
2) Combined effect of bending stress and
curvature of the wire.
3) Combined effect of direct shear stress and
curvature of the wire.
4) Combined effect of torsional shear stress and
transverse shear stress in the wire.
In the calculation of induced shear stress in helical
springs, the Wahl's correction factor is used to
take care of
1) Combined effect of transverse shear stress and
bending stress in the wire
2) Combined effect of bending stress and
curvature of the wire.
3) Combined effect of direct shear stress and
curvature of the wire.
4) Combined effect of torsional shear stress and
transverse shear stress in the wire.
‘Your GATEway to Professional Excellence
Choose the correct statement. Modulus of
toughness of a material is
1) Area under stress - strain diagram
2) Area under load elongation diagram
3) (max. stress x %elongation)/100
4) (Area under stress - strain diagram) x volume of
specimen
Choose the correct statement. Modulus of
toughness of a material is
1) Area under stress - strain diagram
2) Area under load elongation diagram
3) (max. stress x %elongation)/100
4) (Area under stress - strain diagram) x volume of
specimen
The state of stress in a plane element is shown in figure
below. Which one of the following figures is the correct
sketch of Mohr’s circle of the state of stress ?
Bb | gi
below. Which one of the following figures is the correct
sketch of Mohr’s circle of the state of stress ?
Bb | gi
‘Your GATEway to Professional Excellence
For the state of stress shown in the below figure,
normal stress acting on the plane of maximum
shear stress is -
1) 25 MPa tension
2) 75 MPa compression
3) 25 MPa compression
4) 75 MPa tension
For the state of stress shown in the below figure,
normal stress acting on the plane of maximum
shear stress is -
1) 25 MPa tension
2) 75 MPa compression
3) 25 MPa compression
4) 75 MPa tension
In which of the following two dimensional state of
stress, Mohr's stress circle takes the shape of a point.
stress, Mohr's stress circle takes the shape of a point.
Your GATEway to Professional E
o
According to which theory of failure does the
ductile material begin to yield, when the
maximum principal strain reaches the elastic
strain?
1) Rankine's theory
2) Haigh's theory
3) St. Venant's theory
4) Guest theory
o
According to which theory of failure does the
ductile material begin to yield, when the
maximum principal strain reaches the elastic
strain?
1) Rankine's theory
2) Haigh's theory
3) St. Venant's theory
4) Guest theory
‘Your GATEway to Professional Excellence
If section modulus of a beam is increased, the
bending stress in the beam will:
1) Not change
2) Increase
3) Decrease
4) Become zero
If section modulus of a beam is increased, the
bending stress in the beam will:
1) Not change
2) Increase
3) Decrease
4) Become zero
Your GATEway to Professional E
o
Strain energy stored in a body of volume V
subjected to uniform stress o is:
1) oE/V
2) oE2/V
3) oV2/E
4) o?V/2E
o
Strain energy stored in a body of volume V
subjected to uniform stress o is:
1) oE/V
2) oE2/V
3) oV2/E
4) o?V/2E
‘Your GATEway to Professional Excellence
For a round shaft subjected to pure torsion, the
shear stress at the centre (axis) will be
1) maximum
2) minimum
3) zero
4) the information provided is insufficient
For a round shaft subjected to pure torsion, the
shear stress at the centre (axis) will be
1) maximum
2) minimum
3) zero
4) the information provided is insufficient
‘Your GATEway to Professional Excellence
Spring index is-
1) Ratio of coil diameter to wire diameter
2) Load required to produce unit deflection
3) Its capability of storing energy
4) Indication of quality of spring
Spring index is-
1) Ratio of coil diameter to wire diameter
2) Load required to produce unit deflection
3) Its capability of storing energy
4) Indication of quality of spring
‘Your GATEway to Professional Excellence
If a cantilever beam carries a uniformly distributed
load over its entire length, then shapes of the
shear-force diagram and bending-moment
diagram respectively are
1) quadratic parabola and cubic parabola
2) triangle and quadratic parabola
3) rectangle and triangle
4) quadratic parabola and triangle
If a cantilever beam carries a uniformly distributed
load over its entire length, then shapes of the
shear-force diagram and bending-moment
diagram respectively are
1) quadratic parabola and cubic parabola
2) triangle and quadratic parabola
3) rectangle and triangle
4) quadratic parabola and triangle
‘Your GATEway to Professional Excellence
A sudden increase or decrease in shear force
diagram between any two points indicates that
there is
1) No loading between the two points
2) Point loads between the two points
3) U.D.L. between the two points
4) None of these
A sudden increase or decrease in shear force
diagram between any two points indicates that
there is
1) No loading between the two points
2) Point loads between the two points
3) U.D.L. between the two points
4) None of these
‘Your GATEway to Professional Excellence
A simply supported beam of span (I) carries a point
load (W) at the centre of the beam. The bending
moment diagram will be
1) parabola with maximum ordinate at the centre
of the beam
2) parabola with maximum ordinate at one end of
the beam
3) triangle with maximum ordinate at the centre
of the beam
4) triangle with maximum ordinate at one end of
the beam
A simply supported beam of span (I) carries a point
load (W) at the centre of the beam. The bending
moment diagram will be
1) parabola with maximum ordinate at the centre
of the beam
2) parabola with maximum ordinate at one end of
the beam
3) triangle with maximum ordinate at the centre
of the beam
4) triangle with maximum ordinate at one end of
the beam
‘Your GATEway to Professional Excellence
Variation of bending moment under a UDL, in a
beam is
1) Straight-line variation
2) Parabolic variation
3) Cubic variation
4) Zero i.e. horizontal straight line
Variation of bending moment under a UDL, in a
beam is
1) Straight-line variation
2) Parabolic variation
3) Cubic variation
4) Zero i.e. horizontal straight line
Slope of Bending moment diagrams between B
and C will be:
1) PL
2) PL/2
3) P/2
4) Zero
and C will be:
1) PL
2) PL/2
3) P/2
4) Zero
Your GATEway to Professional E
If the shear force diagram of a simply supported
beam is parabolic, then the load on the beam is
1) Uniformly distributed load
2) Concentrated load at mid span
3) External moment acting at mid span
4) Linearly varying distributed load
If the shear force diagram of a simply supported
beam is parabolic, then the load on the beam is
1) Uniformly distributed load
2) Concentrated load at mid span
3) External moment acting at mid span
4) Linearly varying distributed load
Your GATEway to Professional E
o
Which of the following conditions is TRUE for the
shafts connected in series to each other?
1) & = 02
2)T=T1,+T
3)0=0,+0>
4) = > and T = Ti + T2
o
Which of the following conditions is TRUE for the
shafts connected in series to each other?
1) & = 02
2)T=T1,+T
3)0=0,+0>
4) = > and T = Ti + T2
‘Your GATEway to Professional Excellence
Two steel shafts, one solid of diameter D and the
other hollow of outside diameter D and inside
diameter D/2, are twisted to the same angle of
twist per unit length. The ratio of maximum shear
stresses in solid shaft to hollow shaft is
+
2) 2
3)4
4)1
Two steel shafts, one solid of diameter D and the
other hollow of outside diameter D and inside
diameter D/2, are twisted to the same angle of
twist per unit length. The ratio of maximum shear
stresses in solid shaft to hollow shaft is
+
2) 2
3)4
4)1
‘Your GATEway to Professional Excellence
Under the action of torsion, the shear stress at the
outer surface of a circular shaft is equal to
1) Maximum
2) Minimum
3) Zero
4) None of these
Under the action of torsion, the shear stress at the
outer surface of a circular shaft is equal to
1) Maximum
2) Minimum
3) Zero
4) None of these
Your GATEway to Professional E
o
When a point load on the free end of a cantilever
beam is increased, failure will occur
1) At the free end
2) At the fixed end
3) In the middle of the beam
4) At a distance 21/3 from free end
o
When a point load on the free end of a cantilever
beam is increased, failure will occur
1) At the free end
2) At the fixed end
3) In the middle of the beam
4) At a distance 21/3 from free end
‘Your GATEway to Professional Excellence
The maximum deflection of a fixed beam
uniformly distributed load (W) is given as __
Dia
2 ee
ie
A
The maximum deflection of a fixed beam
uniformly distributed load (W) is given as __
Dia
2 ee
ie
A
Your GATEway to Professional E
o
The maximum deflection due to a uniformly
distributed load w/unit length over entire span of a
cantilever of length L and of flexural rigidity El, is
1) wL3/3E1
2) wL*/3EI
3) wL“/8El
4) wL%/12El
o
The maximum deflection due to a uniformly
distributed load w/unit length over entire span of a
cantilever of length L and of flexural rigidity El, is
1) wL3/3E1
2) wL*/3EI
3) wL“/8El
4) wL%/12El
‘Your GATEway to Professional Excellence
Area of S.F diagram between two points of a span
represents:
1) Change in S.F between the points
2) Change in B.M between the two points
3) Change in load between the two points
4) Maximum S.F between the points
Area of S.F diagram between two points of a span
represents:
1) Change in S.F between the points
2) Change in B.M between the two points
3) Change in load between the two points
4) Maximum S.F between the points
Your GATEway to Professional E o
If load (w) is n degree curve, then shear force (F)
will be degree curve and bending
moment (M) will be degree curve.
1 n, n+1
2) n+1, n+2
3) n+1, n
4) n+2, n+1
If load (w) is n degree curve, then shear force (F)
will be degree curve and bending
moment (M) will be degree curve.
1 n, n+1
2) n+1, n+2
3) n+1, n
4) n+2, n+1
The diagram shown below shows the shearing force diagram for a
beam.
Which of the following is the correct bending moment diagram for
the above shear force diagram?
= =
ee =
beam.
Which of the following is the correct bending moment diagram for
the above shear force diagram?
= =
ee =
o Professional Excellence
Shear force diagram for the simply supported beam AB
loaded with uniformly varying load is given by
los
Shear force diagram for the simply supported beam AB
loaded with uniformly varying load is given by
los
‘Your GATEway to Professional Excellence
A composite beam is composed of two equal
strips one of brass and other of steel. If the
temperature is raised
1) steel experiences tensile force
2) brass experiences compressive force
3) composite beam gets subjected to a couple
4) All of these
A composite beam is composed of two equal
strips one of brass and other of steel. If the
temperature is raised
1) steel experiences tensile force
2) brass experiences compressive force
3) composite beam gets subjected to a couple
4) All of these
‘Your GATEway to Professional Excellence
The maximum deflection of a fixed beam carrying
concentrated point load is given as
eS
a
LE
A
The maximum deflection of a fixed beam carrying
concentrated point load is given as
eS
a
LE
A
‘Your GATEway to Professional Excellence
Region of safety for maximum principal stress
theory under bi-axial stress is shown by:
1) Square
2) Hexagon
3) Ellipse
4) Pentagon
Region of safety for maximum principal stress
theory under bi-axial stress is shown by:
1) Square
2) Hexagon
3) Ellipse
4) Pentagon
‘Your GATEway to Professional Excellence
The theory of failure applicable to brittle material
is-
1) Maximum principal stress theory
2) Maximum shear stress theory
3) Maximum strain energy theory
4) Maximum shear strain energy theory
The theory of failure applicable to brittle material
is-
1) Maximum principal stress theory
2) Maximum shear stress theory
3) Maximum strain energy theory
4) Maximum shear strain energy theory
‘Your GATEway to Professional Excellence
Match the following related to theories of failure
A. Max normal 1. Vonmises
stress theory theory
B.Maxshear 2. Haigh's
stresstheory theory
C. Maxstrain 3. Guest and
energy theory Tresca theory
D. Max 4. Rankiness
distortion theory
energy theory
1)A-4,B-3,C-2,D-1
2)A-3,B-4,C-1,D-2
3)A-4,B-3,C-1,D-2
4) A-3,B-4,C-2,D-1
Match the following related to theories of failure
A. Max normal 1. Vonmises
stress theory theory
B.Maxshear 2. Haigh's
stresstheory theory
C. Maxstrain 3. Guest and
energy theory Tresca theory
D. Max 4. Rankiness
distortion theory
energy theory
1)A-4,B-3,C-2,D-1
2)A-3,B-4,C-1,D-2
3)A-4,B-3,C-1,D-2
4) A-3,B-4,C-2,D-1
‘Your GATEway to Professional Excellence
Match the following.
List 1 (Type | List 2
of cross- Tmax
section, Taverage
11. Rectangle| a.%
2. Circle b.%
3. Triangle | c.%
(4. Diamond| d.%
1) 1-a, 2-c, 3-a, 4-b
2) 1-b, 2-c, 3-a, 4-d
3) 1-a, 2-c, 3-b, 4-c
4) 1-a, 2-b, 3-c, 4-d
Match the following.
List 1 (Type | List 2
of cross- Tmax
section, Taverage
11. Rectangle| a.%
2. Circle b.%
3. Triangle | c.%
(4. Diamond| d.%
1) 1-a, 2-c, 3-a, 4-b
2) 1-b, 2-c, 3-a, 4-d
3) 1-a, 2-c, 3-b, 4-c
4) 1-a, 2-b, 3-c, 4-d
Your GATEway to Professional E o
In a simply supported beam, maximum shear
stress in a triangular cross-section (altitude h)
occurs at a distance:
1) h/3 from bottom of beam
2) h/3 from top of the beam
3) h/6 from neutral axis
4) h/5 from top the beam
In a simply supported beam, maximum shear
stress in a triangular cross-section (altitude h)
occurs at a distance:
1) h/3 from bottom of beam
2) h/3 from top of the beam
3) h/6 from neutral axis
4) h/5 from top the beam
Your GATEway to Professional E
o
The maximum shear stress in a beam of circular
cross — section with radius Ris given as (F = shear
force)
1) F/(mR?)
2) 3F/(21R2)
3) 2F/(R?)
4) 4F/(3R?)
o
The maximum shear stress in a beam of circular
cross — section with radius Ris given as (F = shear
force)
1) F/(mR?)
2) 3F/(21R2)
3) 2F/(R?)
4) 4F/(3R?)
‘Your GATEway to Professional Excellence
Pick up the incorrect statement from the
following. The intensity of horizontal shear stress
at the elemental part of a beam section, is directly
proportional to
1) shear force
2) area of the section
3) distance of the C.G. of the area from its neutral
axis
4) moment of the beam section about ¡ts neutral
axis
Pick up the incorrect statement from the
following. The intensity of horizontal shear stress
at the elemental part of a beam section, is directly
proportional to
1) shear force
2) area of the section
3) distance of the C.G. of the area from its neutral
axis
4) moment of the beam section about ¡ts neutral
axis
Your GATEway to Professional E
o
The deflection of a simply supported rectangular
beam is:
1) directly proportional to the cube of its length
2) inversely proportional to the cube of its depth
3) inversely proportional to its width
4) all of the above
o
The deflection of a simply supported rectangular
beam is:
1) directly proportional to the cube of its length
2) inversely proportional to the cube of its depth
3) inversely proportional to its width
4) all of the above
‘Your GATEway to Professional Excellence
Deflection at free end if given cantilever of span L
is subjected to concentrated load P and a moment
M as shown in figure
PIS | ML?
D zer + zer
PLS | MI?
2) Ser +
PL? ML?
3) ver
PL? MI?
4) zur — SET
Deflection at free end if given cantilever of span L
is subjected to concentrated load P and a moment
M as shown in figure
PIS | ML?
D zer + zer
PLS | MI?
2) Ser +
PL? ML?
3) ver
PL? MI?
4) zur — SET
‘Your GATEway to Professional Excellence
The area-moment theorem with respect to
bending of beams states that the area of the M/El
diagram between two sections of a beam gives
1) the difference in slopes between those two
sections
2) the difference in the maximum bending strains
between those two sections
3) the difference in deflections between those two
sections
4) the difference in strain energies between those
two sections
The area-moment theorem with respect to
bending of beams states that the area of the M/El
diagram between two sections of a beam gives
1) the difference in slopes between those two
sections
2) the difference in the maximum bending strains
between those two sections
3) the difference in deflections between those two
sections
4) the difference in strain energies between those
two sections
‘Your GATEway to Professional Excellence
According to Tresca, yield locus is a/an
1) rectangle
2) circle
3) hexagon
4) ellipse
According to Tresca, yield locus is a/an
1) rectangle
2) circle
3) hexagon
4) ellipse
o Professional Excellence
The stress strain behavior of a material is shown in figure. Its resilience and
toughness, in Nm/m are respectively
1) 28 x 104, 76 x 10%
2) 28 x 10%, 48 x 10%
3) 14 x 10%, 90 x 104
4) 76 x 104, 28 x 10%
The stress strain behavior of a material is shown in figure. Its resilience and
toughness, in Nm/m are respectively
1) 28 x 104, 76 x 10%
2) 28 x 10%, 48 x 10%
3) 14 x 10%, 90 x 104
4) 76 x 104, 28 x 10%
‘Your GATEway to Professional Excellence
If two closely coiled helical springs A & B with the
mean diameter of spring A is half of that of spring
B and having an equal number of active coils and
same wire diameter are subjected to a same axial
load of W, then the ratio of deflection in spring A
to B.
DE
À +
3)2
4) 8
If two closely coiled helical springs A & B with the
mean diameter of spring A is half of that of spring
B and having an equal number of active coils and
same wire diameter are subjected to a same axial
load of W, then the ratio of deflection in spring A
to B.
DE
À +
3)2
4) 8
EW ENGINEERS ACADEMY”
SY
KZ IES + GATE + PSUs + JTO + IAS + NET
For the beam shown below, correct BMD is:
SY
KZ IES + GATE + PSUs + JTO + IAS + NET
For the beam shown below, correct BMD is:
‘Your GATEway to Professional Excellence
At a point in a beam where the load intensity (load
per unit length) is zero,
1) The shear force is necessarily zero
2) The bending moment is necessarily zero
3) The rate of change of shear force is necessarily
zero
4) The rate of change of bending moment is
necessarily zero
At a point in a beam where the load intensity (load
per unit length) is zero,
1) The shear force is necessarily zero
2) The bending moment is necessarily zero
3) The rate of change of shear force is necessarily
zero
4) The rate of change of bending moment is
necessarily zero
‘Your GATEway to Professional Excellence
Bending moment distribution in a built beam is shown in the figure
below. The shear force distribution in the beam is represented by:
Bending moment distribution in a built beam is shown in the figure
below. The shear force distribution in the beam is represented by:
Your GATEway to Professional E o
In a simply supported beam carrying a uniformly
distributed load ‘w’ per unit length, the point of
contraflexure
1) Lies in the centre of the beam
2) Lies at the ends of the beam
3) Depends upon the length of the beam
4) Does not exist
In a simply supported beam carrying a uniformly
distributed load ‘w’ per unit length, the point of
contraflexure
1) Lies in the centre of the beam
2) Lies at the ends of the beam
3) Depends upon the length of the beam
4) Does not exist
Your GATEway to Professional E o
If a gradual tensile load (P) is applied to an elastic
bar axially, the change in the length of bar is x.
What will be the strain energy in the material of
the bar ?
1) Px
Pa
3) 2Px
4) zero
If a gradual tensile load (P) is applied to an elastic
bar axially, the change in the length of bar is x.
What will be the strain energy in the material of
the bar ?
1) Px
Pa
3) 2Px
4) zero
Your GATEway to Professional E
The equivalent stiffness of two springs of stiffness
S and S> joined in series is given by:
1) SS2/(S1 + S2)
2) (S1/S2) * (Si + S2)
3) S¡ + S2
4) SıS2
The equivalent stiffness of two springs of stiffness
S and S> joined in series is given by:
1) SS2/(S1 + S2)
2) (S1/S2) * (Si + S2)
3) S¡ + S2
4) SıS2
‘Your GATEway to Professional Excellence
A bar having length L and uniform cross-section
with area A is subjected to both tensile force P and
torque T. If G is the shear modulus and E is the
Young's modulus, the internal strain energy stored
in the bar is
2 2
i) E Ral:
2G7 Y “AE
2) LL + PL
GJ 2AE
3) EL | PL
2611 AD
4) Ly 2
GJ T AE
A bar having length L and uniform cross-section
with area A is subjected to both tensile force P and
torque T. If G is the shear modulus and E is the
Young's modulus, the internal strain energy stored
in the bar is
2 2
i) E Ral:
2G7 Y “AE
2) LL + PL
GJ 2AE
3) EL | PL
2611 AD
4) Ly 2
GJ T AE
‘Your GATEway to Professional Excellence
Calculate the total angle of twist for a stepped
shaft which is subjected to the torque (T) as shown
in the figure below.
1 nGd*
66Gd*
4) 3671
Calculate the total angle of twist for a stepped
shaft which is subjected to the torque (T) as shown
in the figure below.
1 nGd*
66Gd*
4) 3671
‘Your GATEway to Professional Excellence
A hollow shaft is subjected to torsion. Which of the
following diagrams shows the shear stress
variation in the shaft along its radius?
1) Figure shown as 'a'
2) Figure shown as ‘b’
3) Figure shown as ‘c’
4) Figure shown as ‘d’
A hollow shaft is subjected to torsion. Which of the
following diagrams shows the shear stress
variation in the shaft along its radius?
1) Figure shown as 'a'
2) Figure shown as ‘b’
3) Figure shown as ‘c’
4) Figure shown as ‘d’
Your GATEway to Professional E o
For the same cross sectional area (or weight),
shafts have higher strength and rigidity
than shafts.
1) solid, hollow
2) hollow, solid
3) Both are equal
4) None of these
For the same cross sectional area (or weight),
shafts have higher strength and rigidity
than shafts.
1) solid, hollow
2) hollow, solid
3) Both are equal
4) None of these
‘Your GATEway to Professional Excellence
The principal stresses at a point are 20 (tensile)
and o (compressive), and the stress at elastic limit
for the material in simple tension is 210 N/mm?.
According to maximum shear stress theory, the
value of o at failure is:
1) 70 N/mm?
2) 105 N/mm?
3) 140 N/mm?
4) 210 N/mm?
The principal stresses at a point are 20 (tensile)
and o (compressive), and the stress at elastic limit
for the material in simple tension is 210 N/mm?.
According to maximum shear stress theory, the
value of o at failure is:
1) 70 N/mm?
2) 105 N/mm?
3) 140 N/mm?
4) 210 N/mm?
‘Your GATEway to Professional Excellence
For ductile materials the most appropriate failure
theory is
1) Maximum shear stress theory
2) Maximum Principal stress theory
3) Maximum Principal strain theory
4) Shear strain energy theory
For ductile materials the most appropriate failure
theory is
1) Maximum shear stress theory
2) Maximum Principal stress theory
3) Maximum Principal strain theory
4) Shear strain energy theory
‘Your GATEway to Professional Excellence
According to the maximum strain energy theory,
yield locus is
1) a rectangle
2) a circle
3) a hexagon
4) an ellipse
According to the maximum strain energy theory,
yield locus is
1) a rectangle
2) a circle
3) a hexagon
4) an ellipse
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