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Chapter 4 · MCQ Read Mode

Engineering Mechanics and Strength of Material

AMEE04·85 Total MCQs
Question 1 of 85Applied Mechanics

The principle of transmissibility of forces is applicable to:

ADeformable bodies only
BRigid bodies only
CBoth rigid and deformable bodies
DFluids only
Answer is hidden
Question 2 of 85Applied Mechanics

Lami's theorem applies to:

AThree concurrent coplanar forces in equilibrium
BNon-concurrent forces
CAny number of parallel forces
DTwo forces in equilibrium
Answer is hidden
Question 3 of 85Applied Mechanics

The moment of a couple about any point in its plane is:

AMaximum at the centre of the couple
BZero
CConstant and equal to force × arm
DDependent on the point chosen
Answer is hidden
Question 4 of 85Applied Mechanics

A hinged (pin) support in a 2-D structure provides:

AOnly a moment
BOne reaction component
CThree reaction components
DTwo reaction components
Answer is hidden
Question 5 of 85Applied Mechanics

Two forces of 3 N and 4 N act at right angles. Their resultant is:

A1 N
B7 N
C5 N
D12 N
Answer is hidden
Question 6 of 85Applied Mechanics

The angle of repose is equal to:

AZero for rough surfaces
B90° minus the angle of friction
CThe angle of friction
DTwice the angle of friction
Answer is hidden
Question 7 of 85Applied Mechanics

The force of friction between two dry surfaces is:

ADirectly proportional to the area of contact
BGreater for kinetic than static friction
CIndependent of the apparent area of contact
DIndependent of the normal reaction
Answer is hidden
Question 8 of 85Applied Mechanics

D'Alembert's principle converts a dynamic problem into:

AA problem of static equilibrium by adding inertia force
BA problem of kinematics only
CA problem without mass
DAn energy problem
Answer is hidden
Question 9 of 85Applied Mechanics

The maximum horizontal range of a projectile is obtained when it is projected at:

A90°
B30°
C45°
D60°
Answer is hidden
Question 10 of 85Applied Mechanics

The work-energy theorem states that the net work done on a body equals the change in its:

AImpulse
BMomentum
CPotential energy
DKinetic energy
Answer is hidden
Question 11 of 85Applied Mechanics

A ball dropped from 4 m rebounds to 1 m. The coefficient of restitution is:

A0.75
B0.5
C1.0
D0.25
Answer is hidden
Question 12 of 85Applied Mechanics

In a perfectly plastic collision, the coefficient of restitution is:

AInfinity
B1
C0.5
D0
Answer is hidden
Question 13 of 85Applied Mechanics

The tension ratio of a flat belt about to slip on a pulley is given by:

AT1/T2 = μθ
BT1/T2 = eμθ
CT1 − T2 = μW
DT1T2 = eμ
Answer is hidden
Question 14 of 85Applied Mechanics

As the included angle between two sling legs lifting a load increases, the tension in each sling:

ARemains the same
BIncreases
CDecreases
DBecomes zero
Answer is hidden
Question 15 of 85Theory of Elasticity

Hooke's law is valid up to the:

AProportional limit
BBreaking point
CUltimate stress
DYield point
Answer is hidden
Question 16 of 85Theory of Elasticity

A steel bar 2 m long, area 100 mm², carries 20 kN. With E = 200 GPa, the elongation is:

A2 mm
B20 mm
C0.2 mm
D1 mm
Answer is hidden
Question 17 of 85Theory of Elasticity

The elongation of a bar hanging under its own weight W is:

AWL/(AE)
B2WL/(AE)
CWL/(2AE)
DWL/(4AE)
Answer is hidden
Question 18 of 85Theory of Elasticity

A bar is fully restrained and heated by ΔT. The thermal stress is:

AαLΔT
BEαΔT, independent of length
CEαΔT/L
DZero
Answer is hidden
Question 19 of 85Theory of Elasticity

The theoretical maximum value of Poisson's ratio for an isotropic material is:

A0.33
B0.5
C1.0
D0.25
Answer is hidden
Question 20 of 85Theory of Elasticity

The relation between E, G and μ is:

AE = 3G(1 − 2μ)
BE = 2G(1 + μ)
CE = G(1 + 2μ)
DE = 2G(1 − μ)
Answer is hidden
Question 21 of 85Theory of Elasticity

If E = 200 GPa and μ = 0.25, the modulus of rigidity G is:

A80 GPa
B100 GPa
C50 GPa
D160 GPa
Answer is hidden
Question 22 of 85Theory of Elasticity

Volumetric strain of a rectangular bar subjected to axial load P is:

Aε(1 − 2μ)
Bε(1 + 2μ)
Cε(1 − μ)
D3ε
Answer is hidden
Question 23 of 85Theory of Elasticity

For a material with Poisson's ratio 0.5, the bulk modulus is:

AEqual to E
BInfinite
CZero
DEqual to G
Answer is hidden
Question 24 of 85Theory of Elasticity

The strain energy stored in a bar under axial load P is:

AP²L/(2AE)
BPL/(2AE)
CPL²/(2AE)
DP²L/(AE)
Answer is hidden
Question 25 of 85Theory of Elasticity

The maximum stress due to a suddenly applied load compared to the same load applied gradually is:

AFour times
BTwice
CHalf
DEqual
Answer is hidden
Question 26 of 85Theory of Elasticity

Modulus of resilience is:

ATotal strain energy up to fracture
BRatio of stress to strain
CStrain energy per unit volume up to the elastic limit
DArea under the entire stress-strain curve
Answer is hidden
Question 27 of 85Theory of Elasticity

A load applied suddenly (but without impact velocity) produces a stress approximately:

AEqual to the gradually applied stress
BHalf the gradually applied stress
CTwice the stress of the same load applied gradually
DTen times the stress
Answer is hidden
Question 28 of 85Theory of Elasticity

The factor of safety used for lifting equipment such as chains and slings is usually:

AAlways exactly 1
BZero
CLower than for static members
DMuch higher than for static structural members
Answer is hidden
Question 29 of 85Strength of Materials

The centroid of a triangle of height h lies at a distance from its base of:

Ah/4
Bh/3
C2h/3
Dh/2
Answer is hidden
Question 30 of 85Strength of Materials

The centroid of a semicircular area of radius r from its diameter is:

A3r/8
B4r/(3π)
C2r/π
Dr/2
Answer is hidden
Question 31 of 85Strength of Materials

The moment of inertia of a rectangle b × d about its base is:

Abd³/3
Bdb³/12
Cbd³/12
Dbd³/36
Answer is hidden
Question 32 of 85Strength of Materials

The polar moment of inertia of a solid circular shaft of diameter d is:

Aπd³/16
Bπd⁴/64
Cπd³/32
Dπd⁴/32
Answer is hidden
Question 33 of 85Strength of Materials

Bending moment in a beam is maximum where the shear force:

AIs equal to the load
BIs constant
CIs maximum
DIs zero or changes sign
Answer is hidden
Question 34 of 85Strength of Materials

A simply supported beam of span L carries a UDL w. The maximum bending moment is:

AwL²/12
BwL²/2
CwL²/4
DwL²/8
Answer is hidden
Question 35 of 85Strength of Materials

A cantilever of length L carries a point load W at the free end. The maximum deflection is:

AWL³/48EI
B5WL³/384EI
CWL³/3EI
DWL³/8EI
Answer is hidden
Question 36 of 85Strength of Materials

The maximum deflection of a simply supported beam with a central point load W is:

A5WL³/384EI
BWL³/192EI
CWL³/3EI
DWL³/48EI
Answer is hidden
Question 37 of 85Strength of Materials

For a rectangular beam section, the maximum shear stress is:

AEqual to the average shear stress
B4/3 times the average shear stress
C2 times the average shear stress
D1.5 times the average shear stress
Answer is hidden
Question 38 of 85Strength of Materials

A plane truss with j joints is perfect if the number of members m is:

Aj − 3
B2j − 3
C3j − 2
D2j + 3
Answer is hidden
Question 39 of 85Strength of Materials

The maximum shear stress in a solid shaft of diameter d transmitting torque T is:

A16T/(πd⁴)
BT/(πd³)
C16T/(πd³)
D32T/(πd³)
Answer is hidden
Question 40 of 85Strength of Materials

A shaft subjected to bending moment M and torque T has an equivalent torque of:

A½[M + √(M² + T²)]
B√(M² + T²)
C√(M² − T²)
DM + T
Answer is hidden
Question 41 of 85Strength of Materials

A shaft transmitting 15 kW at 300 rpm carries a torque of about:

A48 N·m
B4 780 N·m
C478 N·m
D150 N·m
Answer is hidden
Question 42 of 85Strength of Materials

The load capacity of a pallet-rack beam is often limited not by stress but by:

AAllowable deflection
BNumber of pallets stored in the plant
CRack height only
DColour of the paint
Answer is hidden
Question 43 of 85Theory of Machines

Which of the following is a higher pair?

ACam and follower
BPiston and cylinder
CShaft in a bearing
DNut and screw
Answer is hidden
Question 44 of 85Theory of Machines

A kinematic chain becomes a mechanism when:

AAll links are fixed
BOne of its links is fixed
CIt transmits no motion
DIt has no links fixed
Answer is hidden
Question 45 of 85Theory of Machines

According to Kutzbach's criterion, a planar linkage with 4 links and 4 binary lower pairs has DOF:

A1
B0
C3
D2
Answer is hidden
Question 46 of 85Theory of Machines

A planar linkage has 5 links and 6 binary joints. Its degree of freedom is:

A−1
B0 (structure)
C2
D1
Answer is hidden
Question 47 of 85Theory of Machines

Grashof's law for a four-bar chain having at least one fully rotating link is:

As + p ≤ l + q
Bs × l ≤ p × q
Cs + l ≥ p + q
Ds + l ≤ p + q
Answer is hidden
Question 48 of 85Theory of Machines

The Whitworth quick-return mechanism is an inversion of the single slider-crank chain obtained by fixing the:

AConnecting rod
BCylinder (frame)
CCrank
DSlider
Answer is hidden
Question 49 of 85Theory of Machines

An elliptical trammel is an inversion of the:

ASingle slider-crank chain
BGear train
CDouble slider-crank chain
DFour-bar chain
Answer is hidden
Question 50 of 85Theory of Machines

The number of instantaneous centres in a six-link mechanism is:

A6
B30
C12
D15
Answer is hidden
Question 51 of 85Theory of Machines

Kennedy's theorem states that the three instantaneous centres of three bodies in relative motion:

ACoincide
BLie on a straight line
CForm an equilateral triangle
DLie on a circle
Answer is hidden
Question 52 of 85Theory of Machines

The Coriolis component of acceleration is present in:

ASimple pendulum
BSlider-crank with fixed cylinder only
CCrank and slotted lever quick-return mechanism
DFour-bar mechanism with pin joints only
Answer is hidden
Question 53 of 85Theory of Machines

Oldham's coupling is used to connect two shafts that are:

ACoaxial and rigidly joined
BParallel with a small lateral offset
CPerpendicular and non-intersecting
DIntersecting at an angle
Answer is hidden
Question 54 of 85Theory of Machines

The Ackermann steering gear is preferred over the Davis steering gear because it:

ANeeds no linkage
BUses only turning pairs, so has less friction and wear
CIs exact at all positions
DUses sliding pairs
Answer is hidden
Question 55 of 85Theory of Machines

The mechanism that gives a very large mechanical advantage near the end of its stroke, used in presses and clamping devices, is the:

AOldham coupling
BToggle mechanism
CPantograph
DScotch yoke
Answer is hidden
Question 56 of 85Theory of Machines

The quick-return motion of a shaper is obtained from a:

ACam and follower
BWorm and worm wheel
CSimple four-bar chain with equal links
DCrank and slotted-lever mechanism
Answer is hidden
Question 57 of 85Mechanisms

The gyroscopic couple on a body spinning with angular velocity ω and precessing with ωp is:

AIωωp
BIω/ωp
CIωp²
DIω²
Answer is hidden
Question 58 of 85Mechanisms

A ship's rolling motion produces:

APitching effect
BNo gyroscopic effect
CMaximum gyroscopic couple
DSteering effect
Answer is hidden
Question 59 of 85Mechanisms

The function of a governor is to:

ABalance reciprocating masses
BReduce speed fluctuations within a cycle
CControl the mean speed of the engine according to load
DStore energy
Answer is hidden
Question 60 of 85Mechanisms

A governor is said to be isochronous when:

AIts equilibrium speed is the same for all radii of rotation
BIts radius increases with speed
CIt has maximum friction
DIt is spring loaded
Answer is hidden
Question 61 of 85Mechanisms

The height of a Watt governor running at 60 rpm is approximately:

A0.5 m
B0.1 m
C0.25 m
D1 m
Answer is hidden
Question 62 of 85Mechanisms

The maximum fluctuation of energy in a flywheel is:

AIω²Cs
BIω Cs
C½Iω²
DIω²/Cs
Answer is hidden
Question 63 of 85Mechanisms

For complete dynamic balancing of several rotating masses in different planes:

AΣm = 0
BΣmr = 0 and Σmrl = 0
COnly Σmrl = 0
DOnly Σmr = 0
Answer is hidden
Question 64 of 85Mechanisms

The frequency of the secondary unbalanced force of a reciprocating engine is:

AEqual to the crank speed
BFour times the crank speed
CTwice the crank speed
DHalf the crank speed
Answer is hidden
Question 65 of 85Mechanisms

For high-speed cams, the preferred follower motion is:

ACycloidal motion
BSimple harmonic motion
CUniform acceleration and retardation
DUniform velocity
Answer is hidden
Question 66 of 85Mechanisms

In a cross-belt drive, the driven pulley rotates:

AIn the direction opposite to the driver
BIn the same direction as the driver
COnly when slip is zero
DAt the same speed always
Answer is hidden
Question 67 of 85Mechanisms

Power transmitted by a belt is maximum when centrifugal tension equals:

AHalf of the maximum tension
BThe maximum tension
CTwo-thirds of the maximum tension
DOne-third of the maximum tension
Answer is hidden
Question 68 of 85Mechanisms

A gear train in which the first and last gears are on the same axis is a:

AEpicyclic gear train
BWorm gear train
CReverted gear train
DSimple gear train
Answer is hidden
Question 69 of 85Mechanisms

The standard pressure angle of modern involute gears is:

A20°
B25°
C14.5°
D30°
Answer is hidden
Question 70 of 85Mechanisms

A flywheel is fitted to a punching press mainly to:

ASupply the large energy needed during punching so that a smaller motor can be used
BReduce the press capacity
CReplace the clutch
DIncrease the punch force indefinitely
Answer is hidden
Question 71 of 85Mechanisms

A worm gear reducer used for continuous duty is often avoided in energy-saving projects because:

AIt cannot give a high speed ratio
BIts efficiency is lower than that of a helical reducer
CIt is always noisier than gears
DIt cannot transmit torque
Answer is hidden
Question 72 of 85Mechanics of Solids

On principal planes, the shear stress is:

AHalf the normal stress
BZero
CEqual to normal stress
DMaximum
Answer is hidden
Question 73 of 85Mechanics of Solids

The maximum shear stress planes are inclined to the principal planes at:

A45°
B90°
C0°
D30°
Answer is hidden
Question 74 of 85Mechanics of Solids

For σx = 80 MPa, σy = 20 MPa and τxy = 40 MPa, the maximum principal stress is:

A100 MPa
B80 MPa
C120 MPa
D50 MPa
Answer is hidden
Question 75 of 85Mechanics of Solids

In a state of pure shear τ, the principal stresses are:

A+τ and 0
Bτ/2 and −τ/2
C+τ and −τ
D2τ and 0
Answer is hidden
Question 76 of 85Mechanics of Solids

The theory of failure most suitable for brittle materials is:

ATotal strain energy theory
BMaximum principal stress theory (Rankine)
CMaximum shear stress theory
DDistortion energy theory
Answer is hidden
Question 77 of 85Mechanics of Solids

According to the von Mises (distortion energy) theory, the shear yield strength is:

A0.5 σy
Bσy
C0.707 σy
D0.577 σy
Answer is hidden
Question 78 of 85Mechanics of Solids

Which of the following is statically indeterminate?

ACantilever
BSimply supported beam
COverhanging beam
DPropped cantilever
Answer is hidden
Question 79 of 85Mechanics of Solids

The effective length of a column with both ends fixed (actual length L) is:

AL
B2L
CL/2
DL/√2
Answer is hidden
Question 80 of 85Mechanics of Solids

In a thin cylindrical shell under internal pressure, hoop stress is:

AEqual to the longitudinal stress
BTwice the longitudinal stress
CHalf the longitudinal stress
DFour times the longitudinal stress
Answer is hidden
Question 81 of 85Mechanics of Solids

A cylinder is treated as thin when its wall thickness is less than about:

AEqual to its diameter
B1/20 of its diameter
C1/2 of its diameter
D1/5 of its diameter
Answer is hidden
Question 82 of 85Mechanics of Solids

In a thick cylinder under internal pressure, the maximum hoop stress occurs at the:

AMid-length only
BInner surface
COuter surface
DMean radius
Answer is hidden
Question 83 of 85Mechanics of Solids

For a rectangular shaft under torsion, the maximum shear stress occurs at the:

AMiddle of the longer side
BCentre of the section
CMiddle of the shorter side
DCorners
Answer is hidden
Question 84 of 85Mechanics of Solids

In a thin cylindrical pressure vessel, the hoop stress is:

ATwice the longitudinal stress
BZero
CHalf the longitudinal stress
DEqual to the longitudinal stress
Answer is hidden
Question 85 of 85Mechanics of Solids

Replacing an open channel section of a machine frame by a closed box section mainly improves its:

ATorsional stiffness
BBending flexibility
CWeight only
DSurface finish
Answer is hidden
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