1) The shear stress distribution over a rectangular cross section of a beam follows
a) a straight line path
b) a circular path
c) a parabolic path
d) an elliptical path
2) For the design of a cast iron member, the most appropriate theory of failure is
a) Mohr's theory
b) Rankine's theory
c) Maximum strain theory
d) Maximum shear energy theory
3) The stress below which a material has a high probability of not failing under reversal of stress is known as
a) proportional limit
b) elastic limit
c) tolerance limit
d) endurance limit
4) Impact test enables one to estimate the property of
a) creep
b) toughness
c) strength
d) hardness
5) The property of metal which allows it to deform continuously at slow rate without any further increase in stress is known as
a) fatigue
b) creep
c) resilience
d) plasticity
6) The phenomenon of decreased resistance of a material to reversal of stress is called
a) plasticity
b) fatigue
c) resilience
d) creep
7) proof resilience is the maximum energy
a) limit of proportionality
b) elastic limit
c) plastic limit
d) none of above
8) The basic perfect frame is a
a) rectangle
b) triangle
c) hexagon
d) square
9) Rankine’s formula for column is valid when slenderness ratio
a) lies between 0 and 140
b) lies between 0 and 100
c) is less than 80
d) has any value
10) A long column has maximum crippling load when its
a) both ends are hinged
b) both ends are fixed
c) one is fixed and other end is hinged
d) one end is fixed and other end is free
11) Buckling load for a given column depends upon
a) length of column only
b) least lateral dimension only
c) both length and least lateral dimension
d) none of the above
12) A beam of uniform strength has at every cross-section same
a) bending stress
b) deflection
c) stiffness
d) bending moment
13) Modulus of rigidity is defined as the ratio
a) shear stress to shear strain
b) stress to strain
c) longitudinal stress to longitudinal strain
d) stress to volumetric strain
14) If all the dimensions of a prismatic bar are
a) decrease
b) remain unchanged
c) increase to two times
d) increase to four times
15) If a material has identical properties in all directions, it is said to be
a) homogeneous
b) isotropic
c) orthotropic
d) elastic
16) The elongation of a conical bar under its own weight is equal to
a) that of a prismatic bar of same length
b) one half that of a prismatic bar of same length
c) one third that of a prismatic bar of same length
d) one fourth that of a prismatic bar of same length
17) If a composite bar of steel and copper is heated, then the copper bar will be under
a) shear
b) tension
c) compression
d) torsion
18) A prismatic bar when subjected to pure bending assumes the shape of
a) quadratic parabola
b) cubic parabola
c) catenary
d) arc of a circle
19) A beam of triangular cross section is placed with its base horizontal. The maximum shear stress intensity in the section will be
a) at the neutral axis
b) at the base
c) above the neutral axis
d) below the neutral axis
20) If the length of a simply supported beam carrying a concentrated load at the centre is doubled, the defection at the centre will become
a) two times
b) four times
c) eight times
d) sixteen times
21) Euler’s formula for a mild steel long column hinged at 90th ends is not valid for slenderness ratio
a) greater than 80
b) less than 80
c) greater than 180
d) greater than 129
22) Strain energy stored in a member is given
a) 0.5 x stress x strain x volume
b) 0.5 x stress x volume
c) 0.5 x stress x strain
d) 0.5 x strain x volume
23) If the depth of a beam of rectangular section is reduced to half, strain energy stored in the beam becomes
a) 1/4 times
b) 1/8 times
c) 4 times
d) 8 times
24) For ductile materials, the most appropriate failure theory is
a) maximum shear stress theory
b) maximum primcipal strain theory
c) shear strain energy theory
d) maximum principal stress theory
25) A Mohr’s circle reduces to a point when the body is subjected to
a) pure shear
b) uniaxial stress only
c) equal and opposite axial stresses on two mutually perpendicular planes, the planes being free of shear
d) equal axial stresses on two mutually perpendicular planes, the planes being free of shear
26) Which one of the following statements about creep of metals is correct?
a) for a given level of stress, the rate of creep is independent of time
b) creep is time dependent deformation under stress
c) creep is deformation due to high temperature under no stress condition
d) creep is independent of temperature
27) According to Tresca, yield locus is a/ an
a) ellipse
b) rectangle
c) hexagon
d) circle
28) The specimen in a Charpy, impact test is supported as a
a) simply supported beam
b) fixed beam
c) continuous beam
d) cantilever beam
29) Internal forces at every cross-section in a arch are
a) normal thrust and shear force
b) shear force and bending moment
c) normal thrust and bending moment
d) normal thrust, shear force and bending mement
30) The effect of arching a beam is
a) to reduce bending moment throughout
b) to increase bending moment throughout
c) to increase shear force
d) to decrease shear force
31) Two beams, one of circular cross-section and other of square cross-section, have equal areas of cross-section. If subjected to bending
a) circular sect. is more economical
b) square sect. is more economical
c) both sections are equally strong
d) both sections are equally stiff
32) For an isotropic, homogeneous and elastic material obeying Hooke’s law, number of independent elastic constants is
a) 9
b) 2
c) 1
d) 3
33) In the case of a partially elastic body that part of the work done by the external forces during deformation is dissipated in the form of heat, which is developed in the body during
a) last 25% of deformation
b) elastic deformation
c) non- elastic deformation
d) 50% of total deformation
34) Young’s Modulus is the ratio of the normal stress to the
a) reciprocal of normal strain within elastic limit
b) normal strain within proportional limit
c) normal strain withim elastic limit
d) normal strain at yield point
35) The percentage elongation of a material from a direct tensile test indicates
a) ductility
b) yield stress
c) ultimate strength
d) strength
36) A cantilever beam is the one which is supported with
a) one end hinge and other on rollers
b) one end fixed and the other on rollers
c) both ends on rollers
d) one end fixed and the other free
37) The bending moment in a beam will be maximum where
a) the S.F. is uniform
b) the S.F. is maximum
c) the S.F. is zero
d) none of these
38) The product El is called
a) flexural rigidity
b) torsional rigidity
c) second moment of area
d) none of these
39) Elasticity of a body is
a) the property by which a body returns to its original shape after removal of load
b) the ratio of stress to strain
c) large deformability as in case of rubber
d) the resistance of the force acting
40) A perfectly elastic body is
a) a body of such a material with a lot of extensibility
b) a body made of rubber only
c) that body which recovers its original shape completely after removal of force
d) a body whose cross-sectional dimensions are very small
41) Permanent set is
a) irrecoverable deformation in the body
b) the force which acts permanently on the body
c) the shape of the member just after completion of construction
d) ratio of Poisson's Ratio to Young's Modulus
42) In the case of rectangular beams the ratio of max shear stress to the average shear stress is equal to
a) 1.0
b) 1.25
c) 0.50
d) 1.5
43) The SI unit of stress is
a) N/m2
b) N/cm2
c) Pascal
d) both (a) and (c)
44) The CGS unit of stress is
a) N/cm2
b) kg/cm2
c) dyne/cm2
d) erg
45) In a fixed beam, the slopes at the ends are
a) minimum
b) maximum
c) same as at the center
d) zero
46) The work done to strain a material within elastic limits is known as
a) resilience
b) work modulus
c) resistance
d) virtual work
47) The S.I. unit of modulus of elasticity is
a) N/cm2
b) N/m2
c) dyne/cm2
d) no units
48) Euler’s formulae for columns can be used if the slenderness ratio is
a) <100
b) 0
c) >120
d) >120 but less than 180
49) What is tenacity?
a) ultimate impact strength
b) ultimate shear strength
c) ultimate strength in compression
d) ultimate strength in tension
50) When a member is subjected to a twisting moment, the material will be subjected to
a) bending stresses
b) axial tension
c) axial compressive stress
d) shear stresses
51) The stress in a member subjected to a force is
a) the resistance offered by the material per unit area to a force
b) load per unit area
c) continued deformation under sustained loading
d) the strain per unit length
52) The law “Stress is proportional to strain within certain limits” is formulated by
a) Poisson
b) Robert Hook
c) Thomas Young
d) Mohr
53) The Poisson’s Ratio is the ratio of
a) lateral strain to longitudinal strain
b) laterial elongation to linear elongation
c) lateral stress to linear stress
d) Young's Modulus of elasticity to Modulus of Rigidity
54) For the materials which do not have a pronounced yield point from a tension test the yield point is taken to be
a) ultimate strength
b) stress corresponding to 0.2% strain from the stress strain curve
c) average of ultimate strength and actual breaking stress
d) the stress at which the permanent set reaches the value 0.2%
55) Statically indeterminate structures are opted inspite of being indeterminate because
a) they can be made of good material
b) they can be easily analysed
c) higher loads can be supported with less consumption of material
d) they can be designed to have larger dimensions
56) A brittle material will
a) fail after giving ample warning
b) fail suddenly
c) never fail
d) never be used for structural purposes
57) Creep of a material is
a) to become brittle
b) disappearance of deformation on removal of load
c) continued deformation with time under sustained loading
d) not being ductile
58) In the Euler’s theory for long columns it is assumed that
a) the failure occurs by crushing of the material
b) the column is having initial curvature and the load is eccentrically applied
c) the column shortens so much that it will become a short column
d) the failure occurs by buckling omly
59) In the case of long columns the maximum permissible stress depends on
a) effective length only
b) the ultimate crushing strength of the material
c) radius of gyration only
d) the maximum slenderness ratio
60) A rectangular section has dimensions of 10 cm x 20 cm. The ratio of the moment of inertia about x-axis passing through its centroid to the moment of inertia about y-axis passing through its centriod is equal to
a) 4
b) 2
c) 6
d) 8
61) Which of the following relations is correct?
a) factor of safety crippling load x safe load
b) factor of safety crippling load / safe load
c) factor of safety crippling load - safe load
d) factor of safety z: safe load/ crippling load
62) For a column of given material, the Rankine’s constant depends on
a) length of the column
b) diameter of the column
c) moment of inertia of the column
d) none of these
63) The volumetric strain produced in a sphere is …… times the strain in its diameter
a) one and a half
b) three
c) two
d) four
64) Which would give the Poisson’s ratio?
a) ratio of linear stress to linear strain
b) ratio of shear stress to shear strain
c) ratio of lateral strain to longitudinal strain
d) ratio of the normal stress ( of equal magnitude on all six faces ) on a solid cube to the volumetric strain
65) Which of the following gives Modulus of Elasticity?
a) ratio of linear stress to linear strain
b) ratio of shear stress to shear strain
c) ratio of lateral strain to longitudinal strain
d) ratio of the normal stress ( of equal magnitude on all six faces ) on a solid cube to the volumetric strain
66) which would give the modulus of rigidity?
a) ratio of linear stress to linear strain
b) ratio of shear stress to shear strain
c) ratio of lateral strain to longitudinal strain
d) ratio of the normal stress ( of equal magnitude on all six faces ) on a solid cube to the volumetric strain
67) The property that is responsible for the body to return to its original shape after the removal of the external load is known as
a) elasticity
b) plasticity
c) ductility
d) resilience
68) Which would give the bulk modulus?
a) ratio of linear stress to linear strain
b) ratio of shear stress to shear strain
c) ratio of lateral strain to longitudinal strain
d) ratio of the normal stress ( of equal magnitude on all six faces ) on a solid cube to the volumetric strain
69) As per elastic theory of design the factor of safety is the ratio of
a) ultimate load to load at yield
b) yield stress to working stress
c) ultimate strength to yield stress
d) working stress to yield stress
70) The percentage reduction in area of a member from a direct tension test indicates
a) malleability
b) elasticity
c) ductility
d) brittleness
71) The stress due to temperature change in a member depends on
a) length of the member
b) area of cross-section
c) supporting conditions at the two ends
d) none of above
72) In a composite bar the load distribution among different materials of which it is made is based on the assumption that all the materials will have
a) same strain
b) same stress
c) equal areas
d) same Young's Modulus
73) The standard gauge length over which the extension is to be measured to determine percentage elongation of a specimen with initial cross-section of area is
a) 5.65
b) 6.56
c) 7.75
d) 6.65
74) Three beams made of same material (but of different sections) of same span are subjected to same maximum bending moment. Then which section will have the maximum weight per unit length?
a) circular
b) square
c) rectangle
d) none of the above
75) A rectangular beam carries a maximum bending moment of M. If its depth is doubled, its moment carrying capacity will be
a) M
b) 2M
c) 3M
d) 4M
76) If the bending moment changes from positive to negative, the section where such change occurs is known as
a) crest point
b) point of inflation
c) neutral point
d) point of contraflexure
77) A bar is made of different materials to have a composite section and carries an external load. Then
a) strain in all the material is same
b) the sum of the individual loads carried by different materials is equal to the external load
c) both (a) and (b)
d) none of the above
78) Which of the following is a relatively ductile material?
a) high carbon steel
b) bronze
c) cast iron
d) mild steel
79) With the increase in the carbon content, the ductility of the steel will
a) increase
b) decrease
c) not be affected
d) difficult to tell
80) By increasing the carbon content in steel, the ultimate tensile strength will
a) decrease
b) not be affected
c) increase
d) become zero
81) Which of the following materials will have the highest Young’s Modulus?
a) copper
b) timber
c) brass
d) mild steel
82) A horizontal beam with both the ends hinged will be statically determinate for this type of loading
a) inclined loads with moments
b) purely vertical loading
c) purely inclined loads
d) any general loading
83) In a Uniaxial tension test on a mild steel bar, the Lueders’ lines will be
a) inclined at 45o to the direction of tensile stress applied
b) perpendicular to the direction of tensile stress applied
c) along the direction of tensile stress
d) none of the above
84) A solid circular cylinder has a diameter D. A hollow circular cylinder has an internal diameter D and has the same cross-sectional area as the solid cylinder. Then the ratio of the moment of inertia of the hollow cylinder to that of solid cylinder is equal to
a) 2
b) 3
c) 8
d) 4
85) In which of the following cases will the shear force as well as bending moment at the free end of a cantilever beam be equal to zero?
a) when it carries a concentrated load at mid span
b) when it carries a concentrated load at the end
c) when it carries a u.d.l. , over the entire span
d) none of the above
86) For what angle θ, will the tangential shear stress be maximum?
a) 45o
b) 30o
c) 90o
d) 0o
87) For what angle θ, will the normal stress be maximum?
a) 0o
b) 45o
c) 90o
d) 30o
88) The angle between the plane of principal stress and the plane of maximum shear will be
a) 60o
b) 30o
c) 45o
d) 90o
89) When a member is subjected to an axial tensile load, the plane normal to the axis experiences, a plane inclined at 45° to the axis carriesWhen a member is subjected to an axial tensile load, the plane normal to the axis experiences, a plane inclined at 45° to the axis carries
a) maximum normal stress
b) minimum shear stress
c) maximum shear stress
d) minimum normal stress
90) When a member is subjected to an axial tensile load, the plane normal to the axis experiences
a) maximum shear stress
b) maximum normal stress
c) minimum normal stress
d) none of the above
91) For a certain material Poisson’s ratio is 0.25. Then the ratio of modulus of elasticity to the modulus of rigidity for the material is
a) 0.5
b) 4
c) 2.5
d) 0.4
92) For a certain material Poisson’s ratio is 0.25. Then the ratio of modulus of elasticity to the bulk modulus for the material is
a) 0.5
b) 1.0
c) 0
d) 1.5
93) If a shaft is subjected to pure twisting moment, an element on the surface is subjected to
a) pure shear stress
b) normal tensile stress
c) bending stress
d) normal compressive stress
94) What is the maximum number of unknown reaction components that can be determined using only statics
a) 0
b) 1
c) 2
d) 3
95) The slope of curve of S.F. diagram at any section will be equal to
a) the bending moment at that section
b) the ordinate of loading diagram at that section
c) the area of loading diagram from end to that section
d) the slope of loading at that section
96) The moment of inertia of a rectangular section about the base is
a) twice the moment of inertia about the centroidal axis
b) three times the moment of inertia about the centroidal axis
c) four times the moment of inertia about the centroidal axis
d) none of the above
97) In carriage springs in addition to changing the number of plates, to have uniform strength
a) additional rivets are provided
b) welding is done
c) the thickness of each plate will be changing
d) the width of the plate will be gradually decreased
98) The expression Eld4y/dx4 at any section for a beam is equal to
a) slope at the section
b) S.F. at the section
c) load intensity at the section
d) B.M. at the section
99) A beam is said to be, in general, stable and statically determinate for general loading when the number of reaction components is
a) greater than 3
b) 0
c) less than 3
d) 3
100) A simply supported beam is subjected to a udl of intensity w/ m throughout the length of the span. The B.M. diagram will be a
a) parabola with wl/4 max. ordinate
b) triangle with wl2/8 max. ordinate
c) rectangle with uniform ordinate wl2/8
d) parabola with wl2/8 max. ordinate
101) A beam is supported over three rollers lying in the same plane. The beam is stable for
a) any general loading
b) loading with no component perpendicular to the direction of beam
c) only when no load except self weight acts
d) loading with no component in the direction of the beam
