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(b) Ultimate strength of the material is determined by the stress in the plane of slip
ANS D
ANS C
Q 3 The normal and tangential components of stress on an inclined plane through 80 to the direction of the force
will be equal if 0 is
(a) 450
(b) 300
(c) 600
(d) 900
ANS A
Q 4 The locus of the end point of the resultant of the normal and tangential component of the stress on an inclined
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plane is
(a) circle
(b) parabola
(c) ellipse
ANS B
ANS A
ANS D
Q 8 A simply supported beam carries a varying load from zero at one end and what the other end. If the length of
the beam is a , the shear force will be zero at a distance x from least loaded point where x is
(a) a/2
(b) a/3
(c) a/ 3
(d) (a 3 )/2
ANS C
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Q 9 For a strongest rectangular beam cut from a circular log, the ratio of the width and depth is
(a) 0.303
(b) 0.404
(c) 0.505
(d) 0.707
ANS D
Q 10 The maximum magnitude of shear stress due to shear force f on a rectangular section of area A at the neutral
axis is
(a) F/A
(b) F/2A
(c) 3F/2A
(d) 2F/3A
ANS C
Q 11 A cantilever of length 2 cm and depth 10 cm tapers inn plan from a width 24 cm to zero at its free end. If the
modulus of elasticity of the material is 0.20 x 106 N/ mm 2 , the deflection of the free end is
(a) 2 mm
(b) 3 mm
(c) 4 mm
(d) 5 mm
ANS D
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ANS A
ANS D
Q 14 If ∑H and ∑ v are the algebraic sums of the forces resolved horizontally and vertically respectively, and
∑M is the algebraic sum of the moments of forces about any point for the equilibrium of the body acted upon
(a) ∑H =0
(b) ∑V =0
(c) ∑M =0
ANS D
Q 15 The forces acting normally on the cross section of a bar shown in the figure below introduce
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ANS B
ANS B
Q 17 Ab and Ac are the cross sections of bronze and copper bars of equal length. ∑ b , ∑ c are their respective
stresses due to load p. If Pb and Pc are the loads shared by them
ab Eb
(a) =
bc Ec
(b) P = pb + pc
(c) P = Ab ∑b + A ∑b
c
ANS D
ANS B
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Q 19 A bar L meter long and having its area of cross-section A, is subjected to a gradually applied tensile load W. the
strain energy stored in the bar is
(a) WL/2AE
(b) WL/AE
(c) w2 L/AE
(d) w2 L/2AE
ANS D
Q 20 The shear force diagram of a loaded beam shown in the figure below:
ANS C
Q 21 The maximum bending moment for a simply supported beam with a infirmly distributed load W per unit
length, is
(a) wL/2
(b) wL2 / 4
(c) wL2 / 8
ANS D
Q 22 A simply supported beam which carries a uniformly distributed load has two equal over hangs. To have
maximum B.M. produced in the beam least possible, the ratio of the length of the overhang to the total length of the
beam is
(a) 0.207
(b) 0.307
(c) 0.407
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(d) 0508
ANS A
ANS A
ANS D
Q 25 If the sides of a slab simply supported on edges and spanning in two directions re equal, the maximum bending
moment is multiplied by
(a) 0.2
(b) 0.3
(c) 0.4
(d) 0.5
ANS D
Q 26 When a load is transferred through one surface to another surface in contact, the stress is known as
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ANS D
Q 27 Assuming the values of maximum deviation ∆P and ∆E to be 25% of the computed value of P and E
respectively, the minimum value of the factor of safety is
(a) 1
(b) 0.67
(c) 1.67
(d) 2.67
ANS c
Q 28 The ratio of hydrostatic stress to the volumetric strain within the elastic range is called
ANS D
Q 29 The statement that a section plane before the application of twisting moment continue to remain plane after
the application of twisting moment is valid
ANS D
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(a) a rectangle
(b) a circle
(c) a hexagon
(d) an ellipse
ANS D
Q 31 The number of elastic constant for a complete isotropic elastic material which follows Hooks law is
(a) 3
(b) 4
(c) 21
(d) 25
ANS B
Q 32 The expression of the elastic curve at the free end of a cantilever beam of span “L” flexural rigidity “El” and
subjected to uniformly distributed load intensity ‘W’ is
(a) w L2 / (2El)
(b) w L3 / (3El)
(c) w L4 / (8El)
(d) w L3 / (6El)
ANS B
Q 33 Slendemess ratio of a 5 m long column hinged at both ends and having a circular cross section with diameter
16 cm is
(a) 31.25
(b) 62.5
(c) 100
(d) 125
ANS D
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Q 34 A rectangle beam of uniform strength and subjected to a bending moment M has a constant width. The
variation in depth will be proportional to
(a) 1/M
(b) M
(c) M 3
(d) M 2
ANS B
Q 35 A fixed beam is subjected to a uniformly distributed load over its entire span. The joints of contra-flexure will
occur on either side of the centre at a distance of _ from the centre
(a) L/ 3
(b) L/3
(c) L/(2 3 )
(d) L/(4 3 )
ANS C
ANS D
(a) Rubber
(b) Wood
(c) Copper
(d) Steel
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ANS A
Q 38 The ratio of young’s modulus to modulus of rigidity for a material having poisson’s ratio 0.2 is
(a) 2.4
(b) 0.416
(c) 0.357
(d) 2.8
ANS A
Q 39 What is the slope at the end of simply supported beam of span 2 m and load 5 kg/unit length over the entire
span
(a) 1/16 EI
(b) 5/3 EI
(c) I/3 EI
(D) 1/20 EI
ANS B
Q 40 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
(a) 2
(b) 4
(c) 3
(d) 1.5
ANS B
Q 41 When both ends of a column are fixed, the crippling load is F. if one end of the column is made free, the value
of crippling load will be changed to
(a) F/4
(b) F/2
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(c) F/16
(d) 4F
ANS C
Q 42 A cantilever beam is shown in the figure, find the magnitude and direction of moment to be applied at free end
for zero vertical deflection
ANS C
Q 43 What will be the relation between E and K when poisson’s ratio is 0.25?
(a) E = K
(b) E = 2K
(c) E = 1.5 K
(d) E = K = 0
ANS C
Q 44 moment of inertia of a triangular section, about an axis passing through its center of gravity is
ANS B
Q 45 The hoop stress induced in a thin cylinder by winding it with wire under tension will be
(a) compressive
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(b) tensile
(c) shear
(d) zero
ANS A
(a) parabolic
(b) catenary
(c) circular
(d) triangular
ANS A
Q 47 The strain energy stored in a body due to external loading, within the elastic limit is known as
(a) malleability
(b) ductility
(c) toughness
(d) resilience
ANS A
ANS B
Q 49 The ratio of the stresses produced by suddenly applied and gradually applied lades on a bar is
(a) 0.25
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(b) 0.5
(c) 1
(d) 2
ANS D
Q 50 A column has effective length L when its both ends are fixed. What will be the new effective length if one end
becomes hinged
(a) L
(b) 0.5L
(c) 1.41L
(d) 2L
ANS C
Q 51 A simply supported beam of span L and flexural rigidity EI, carries a unit point load at its centre. The strain
energy in the beam due to bending is
(a) L3 /48EI
(b) L3 /192EI
(c) L3 /96EI
(d) L3 /16EI
ANS C
Q 52 Maximum allowable shear stress in a section is 100 kg/ cm 2 . If bar is subjected to tensile force of 5000 kg and if
the section is square shaped, what will be dimension of sides of the squares
(a) 10 cm
(b) 5 cm
(c) 12 cm
(d) 14 cm
ANS B
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Q 53 A brittle material of 4 sq. m cross section carries an axial tensile load of 20 tonnes. What will be the maximum
shear stress in the block?
ANS D
Q 54 A torsion member is fabricated from two concentric thin tubes. At the ends, the tubes are welded to rigid discs
so that both the tubes are twisted as a unit. The radius of the outer is 2r and that of the inner tube is r. if the shear
stresses developed in the outer tube is ‘T’ then, the shear stress in the inner tube will be
(a) T
(b) 0.25 T
(c) 0.75 T
(d) 0.5 T
ANS D
ANS B
(b) it is frictionless
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ANS D
Q 57 A rectangular bar has been subjected to torsion the maximum shear stress will occur
ANS C
(c) triangle
(d) rectangular
ANS B
Q 59 If a close coiled helical spring absorbs 30 Nmm of energy while extending by 5mm, its stiffness will be
(a) 2 N/mm
(b) 4 N/mm
(c) 6 N/mm
(d) 10 N/mm
ANS C
Q 60 The core of a circular section short column of diameter d is concentric circular area having a diameter
(a) d/4
(b) d/3
(c) d/2
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(d) d/8
ANS A
Q 61 The maximum shear stress occurs on the outermost fibres of a circular shaft under torsion. In a close coiled
helical spring, the maximum shear stress occurs on the
ANS C
Q 62 A closed-coil helical spring is subjected to a torque about its axis. The spring wire would experience a
ANS A
Q 63 Two beam of equal cross-sectional area are subject to equal bending moment. If one beam has square cross-
section and the other has circular section, then
(d) the strength of the beam will depend on the nature of aiding
ANS B
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(a) A and B
(b) A and C
(c) B and C
(d) A, B, and C
ANS D
Q 65 A simply supported beam of circular cross section with diameter d and length l carries a concentrated load W
at the centre of the beam. The strength of the beam is proportional to _
(a) 1/ D 3
(b) 1/ D 2
(c) D 3 /1
(d) D 2 /1
ANS C
Q 66 Which of the following materials is expected to have the least value of young’s modulus of elasticity?
(a) Wood
(b) Copper
(c) Glass
(d) Aluminium
ANS A
Q 67 Two shafts of same length and material are joined in series. If the ratio of their diameters is 2, then the ratio
angle of twist will be_
(a) 2
(b) 4
(c) 8
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(d) 16
ANS D
Q 68 An open- coiled helical spring of mean diameter D, number of coils N and wire diameter d is subjected to an
axial force P. The wire of the spring will be subject to
ANS C
Q 69 The ratio of moment of inertia about the neutral axis to the distance of the most distant point of the section
from the neutral axis is called_
ANS B
Q 70 For a hollow shaft of external and internal diameters 10 cm and 5 cm respectively, the torsional sectional
modulus will be approximately_
(a) 184 cm 2
(b) 275 cm 2
(c) 368 cm 2
(d) 536 cm 2
ANS A
Q 71 A solid circular shaft has been subjected to a pure torsion moment. The ratio of maximum shear stress to
maximum normal stress at any point would be_
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(a) 1:2
(b) 2:3
(c) 1:1
(d) 2:1
ANS C
(a) Cycles
(d) Watches
ANS D
ANS D
Q 74 Refer Rankine’s empirical correlation for bucking load of an intermediate column. The value of constant and
will be least for a column made of_
(d) Timber
ANS B
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Q 75 If a point load acting at the mid span of a fixed beam of uniform section produces fixed end moments of 60
kNm,, then same load spread uniformly over the entire span will produce fixed end moments equal to_
(a) 20 kNm
(b) 30 kNm
(c) 40 kNm
(d) 45 kNm
ANS C
Q 76 At a point in a strained material, if two mutually perpendicular tensile stresses of 2000 kg/ cm 2 are acting, then
the intensity tensile stress on a plane inclined at 150 to the axis of the minor stress will be_
ANS B
Q 78 The forces acting normally on the cross section of a bar shown in the figure given below introduces_
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ANS A
ANS D
Q 80 The ratio of tangential and normal component of a stress on an inclined plane through 0 degree to the
direction of the force is _
(a) sin θ
(b) cos θ
(c) tan θ
(d) cos θ
ANS C
(c) For a load varying linearly, the shear force curve is a parabola
ANS D
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Q 82 At any point of a beam, the section modulus may be obtained by dividing the moment of inertia of the section
by _
ANS B
(a) (nD 2 ) / 64
(b) (nD 4 ) / 32
(c) (nD 3 ) / 64
(d) (nD 4 ) / 64
ANS D
ANS C
Q 85 The locus of the moment of inertia about inclined axis to the principal axis is_
(b) parabola
(c) circle
(d) ellipse
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ANS D
Q 86 The ratio moment of inertia of a triangle section its base and about a centroidal axis parallel to its base is_
(a) 1
(b) 1.5
(c) 2
(d) 3
ANS D
Q 87 If P is the wind pressure in kg / cm 2 , V is the velocity in km/hour and K is constant of proportionality then_
(a) P = K / v 2
(b) v = K / P 2
(c) P = Kv 2
(d) P = Kv
ANS C
ANS A
Q 89 The ratio of shearing stress to shearing strain within elastic limit, is known as_
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ANS B
Q 90 A circular shaft fixed at A has diameter D for half of its length and diameter D/2 over the other hall. What is the
rotation of C relative to B if the rotation to A is 0.1 radians?
ANS C
Q 91 A hollow shaft is subjected to torsion. Which of the following diagrams shows the shear stress variation in the
shaft along its radius?
(a) a
(b) b
(c) c
(d) d
ANS c
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(a) nd 3 /16
(b) nd 4 / 32
(c) nd 2 / 32
(d) nd 4 / 64
ANS D
Q 93 A lever is supported on two bings at A and c. It carries a force of 3 KN as shown in the figure below. The
bending moment B will be_
(a) 3 KN-m
(b) 2KN-m
(c) 1KN-m
ANS D
Q 94 The centre of gravity of an equilateral triangle with each side a is _ from any of the three sides
3a
(a)
2
a
(b)
2 3
(c) 2 3a
(d) 3 2a
ANS B
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Q 95 A horizontal beam carrying uniformly distributed load is supported with equal overhangs is shown in the figure
below. The resultant bending moment at the mid-span shell will be zero if (a/b) is:
(a) 0.75
(b) 0.66
(c) 0.5
(d) 0.33
ANS C
Q 96 Two persons of equal weights are hanging by their hands from the ends of a rope hung over frictionless puliey.
They begin to climb. One person can climb twice the speed of other, who gets to the top first?
ANS B
Q 97 The phenomenon of slow extension of materials, i.e. increasing with time having no constant load, is called_
(a) Creeping
(b) Breaking
(c) Yielding
ANS C
Q 98 The stress at which extension of a material takes place more quickly as compared to the increase in load is
called as
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ANS D
Q 99 Shear stress distribution of beam of rectangular cross-section, subjected to transverse loading will be
(a) a
(b) b
(c) c
(d) d
ANS D
Q 100 If the stress in each cross-section of a pillar is just equal to its working stress its form is called
ANS A
Q 101 When a thin cylindrical shell is subjected to an internal pressure, there will be_
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ANS D
ANS D
Q 103 A simply supported beam is loaded as shown in he figure below. The maximum shear force in the beam will _
(a) 0
(b) w
(c) 2w
(d) 4w
ANS C
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ANS D
ANS C
Q 106 In a tensile test, when the material is stressed beyond elastic limit, the tensile strain_ as compared to the
stress
ANS B
ANS A
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ANS B
Q 109 Bending moment distribution in a built beam is shown in the figure below. The shear force distribution in the
beam is represented by.
(a)
(b)
(c)
(d)
Q 110 The figure below shows an I-section of the beam. The shear stress at point P is 12 MPa. The stress at point Q
in the web is:
(b) 60 MPa
(c) 18 MPa
(d) 12 MPa
ANS B
Q 111 The maximum frictional force, which comes into play , when a body to side over the surface of the other body,
is known as
ANS B
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Q 112 A column of length ‘L’ with both ends fixed may be considered as equivalent to a column of length _ with
both ends hinged
(a) L/8
(b) L/2
(c) L/4
(d) L
ANS B
Q 113 According to Euler’s column theory, the crippling load for a column of length fixed at both ends is _ the
crippling load for a similar column hinged at both ends
(a) equal to
(b) 4 times
(c) 2 times
(d) 8 times
ANS B
Q 114 Two shafts A and B are made of the same material. The diameter of shaft B is twice that of shaft A. The ratio
of power which can be transmitted by shift A to that of shaft B is_
(a) 1/2
(b) 1/4
(c) 1/8
(d) 1/16
ANS C
Q 115 For the two shafts connected in parallel, find which statement is true?
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ANS C
(a) One end of the column is clamped and the other end is free
(d) One end of the column is hinged and the other end is free
ANS B
Q 117 The number of strain readings needed on a plane surface to determine the principle strains and their
directions are_
(a) 1
(b) 2
(c) 3
(d) 4
ANS C
ANS D
Q 119 The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6
cm about centroidal axis is _ cm4
(a) 437.5
(b) 337.5
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(c) 237.5
(d) 137.5
ANS A
Q 120 A steel bar 20 mm in diameter simply supported at its ends over a total span of 40 cm, carries a load at its
center. If the maximum stress included in the bar is limited to 480/tt N/mm2 then the bending strain energy stored
in the bar is_
(a) 411 N mm
(b) 511 N mm
(c) 611 N mm
(d) 711 N mm
ANS C
(a) Toughness
ANS A
Q 122 The stress produced by a suddenly applied load as compared to that produced by the same load when
applied gradually is _ times.
(a) 1.5
(b) 2
(c) 3
(d) 4
ANS B
Q 123 The bending moment for a certain portion of the beam is constant. For that section, shear force would be_
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(a) Zero
(b) Increasing
(c) Decreasing
(d) Constant
ANS A
Q 124 An increase in load at the free end of a cantilever is likely to cause failure_
ANS C
Q 125 The property of a material which enables it to resist fracture due to high impact loads is known as
(a) elasticity
(b) endurance
(c) strength
(d) toughness
ANS D
(b) fatigue
ANS D
Q 127 Which of the following ;is not the correct procedure to increase the fatigue limit
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(d) under-stressing
ANS C
ANS B
Q 129 Deformation per unit length in the direction of force is known as:
(a) strain
ANS D
Q 130 A thin mild steel wire is loaded by adding loads in equal increments till it breaks. The extensions noted with
increasing loads will behave as under:
ANS D
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Q 131 Tensile strength of a material is obtained by dividing the maximum load during the test by the:
ANS B
Q 132 Percentage reduction of area in performing tensile test on cast iron may be of the order of:
(a) 50%
(b) 25%
(c) 0%
(d) 15%
ANS C
Q 133 For steel, the ultimate strength in shear as compared to in tension is nearly:
(a) same
(b) half
(c) one-third
(d) two-third
ANS B
Q 134 In a tensile test on mild steel specimen, the breaking stress as compared to ultimate tensile stress is:
(a) more
(b) less
(c) same
ANS B
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ANS C
Q 136 The materials which exhibit the same elastic properties in all directions are called:
(a) homogenous
(b) inelastic
(c) isotropic
(d) isentropic
ANS C
ANS C
Q 138 If a body is transmitting torque T N-m at N rpm, then horsepower (Watts) transmitted will be:
(a) TN
(b) TN/75
(c) TN/4500
(d) 2ttNT/75
ANS D
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Q 139 A right-circular cylinder open at top is filled with water and rotated about its vertical axis at such speed that
half the water spills out. What is the value of pressure at entre of the bottom?
(c) Zero
ANS C
Q 140 At a point on a streamline, the velocity is 3 m/sec and the radius of curvature is 9 m. if the rate of increase of
velocity along the streamline at this point is 1/3 m/sec/m, then the total acceleration at this point would be_
(a) 1m / sec 2
(b) 3m / sec 2
(c) 1/ 3m / sec 2
2
(d) ∫ 2m / sec
ANS D
Q 141 In a simply supported beam, where the shear force is zero, the bending moment will be_
(a) zero
(b) maximum
(c) minimum
ANS B
Q 142 The stress in a body due to suddenly applied load compared to when it is applied gradually is_
(a) same
(b) half
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ANS C
ANS D
ANS D
Q 145 The property of a material by virtue of which a body returns to its original shape after removal of the load is
called_
(a) Plasticity
(b) Elasticity
(c) Ductility
(d) Malleability
ANS B
Q 146 For which material the Poisson’s ratio is more than unity?
(a) steel
(b) copper
(c) aluminium
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(a) only A
(b) only B
(c) only C
ANS D
Q 147 A beam is loaded as cantilever. If the load at the end is increases, the failure will occur_
(d) anywhere
ANS C
(a) the normal stress is maximum or minimum and the shear stress is zero
(c) the tensile stress is zero and the shear stress is maximum
ANS A
ANS C
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Q 150 In the case of an elastic bar fixed at upper end loaded by a falling weight at lower end, the shock load
produced can be decreased by
ANS A
Q 151 For a long and narrow cross section bar subjected to torsion T, the value of maximum shear stress will be
(a) T / bt 2
(b) T / (4 bt 2 )
(c) 2T / bt 2
ANS D
ANS A
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ANS D
(a) mm/mm
(b) kg/cm
(c) kg
(d) kg / cm 2
ANS D
Q 155 The materials having same elastic properties in all directions are called
ANS C
Q 156 The ultimate tensile stress of mild steel compared to ultimate compressive stress is_
(a) same
(b) more
(c) less
ANS B
Q 157 The Young’s modulus of a wire is defined as the stress which will increases the length of wire compared to its
original lengths:
(a) half
(c) double
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(d) one-fourth
ANS B
Q 158 During a tensile test on a specimen of 1 cm 2 cross-section, maximum load observed was 8 tonnes and area of
cross-section at neck was 0.5 cm 2
(a) 4 tonnes/ cm 2
(b) 8 tonnes/ cm 2
(c) 16 tonnes/ cm 2
(d) 22 tonnes/ cm 2
ANS B
(d) It can be correlated with stress-strain values in other tests like torsion, impact, combined stress tests etc.
ANS A
(a) rubber
(b) plastic
(c) brass
(d) steel
ANS D
Q 161 The total elongation produced in a bar of uniform section hanging vertically downwards due to its won
weight is equal to that produced by a weight_
(a) of same magnitude as that of bar and applied at the lower end
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(c) half of the square of weight of bar applied at the lower end
ANS B
Q 162 The property of a material which allows it to be drawn into a smaller section is called
(a) plasticity
(b) ductility
(c) elasticity
(d) malleability
ANS B
(b) where sever loading is encountered and the upper surface of both pieces must be in the same plane
(c) to join two pieces of metal in the same manner as rivet joint metals
ANS B
ANS B
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