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870+ Strength of Materials Solved MCQs

These multiple-choice questions (MCQs) are designed to enhance your knowledge and understanding in the following areas: Mechanical Engineering .

651.

A beam simply supported at ends is subjected to load. The point of contraflexure is located where

A. Bending moment is zero
B. Shear force is maximum
C. Shear force is zero
D. At the middle of the longer side
E. Axial thrust is zero
Answer» A. Bending moment is zero
652.

Which section is normally preferred for an eccentrically loaded strut?

A. Solid
B. Hollow
C. Composite
D. Reinforced
E. Any of the above
Answer» C. Composite
653.

The point of contraflexural can exist in a

A. Simply supported beams only
B. Cantilever
C. Beam with overhangs but without any load on the overhanging sections
D. Beam fixed at both ends
E. All of the above
Answer» D. Beam fixed at both ends
654.

Two shafts are made of mild steel one having circular cross-section and the other shaft is hollow circular with inner diameter half of the outer diameter. The ratio of the torque that can be transmitted in two cases will be

A. 17/16
B. 15/16
C. 7?8
D. 2
E. 1
Answer» B. 15/16
655.

If a rectangular shaft is subjected to torsion, the maximum sher stress will occur

A. Along the diagonal
B. At the comers
C. At the middle of the small side
D. At the centre
E. At the middle of the longer side
Answer» E. At the middle of the longer side
656.

A continuous beam is

A. One which is constrained at both ends
B. One resting upon several supports
C. One which is part of a system consisting of a number of beams
D. One which is very long as compared to width of beam
E. None of the above
Answer» B. One resting upon several supports
657.

In a beam where shear force is maximum the bending moment will be

A. Maximum
B. Zero
C. Minimum
D. There is no such relation between the two
E. None of the above
Answer» A. Maximum
658.

Principal strains occur on three planes which are

A. mutually perpendicular to each other
B. arbitrary in nature
C. inclined to one another at 45?
D. None of the above
E. None of the above
Answer» A. mutually perpendicular to each other
659.

The effective length of a column effectively held in position and restrained in direction at one end but not held in position or restrained in direction at the other end would be

A. 0.67 L
B. 2 L
C. 0.85 L
D. L
E. 1.5 L
Answer» C. 0.85 L
660.

A shaft running at 300 rpm is required to transmit 300 horse power. The working stress in shear is 420 kg/cm2. The diameter of the shaft whould be in the range

A. 1 cm to 2 cm
B. 3 cm to 4 cm
C. 2 cm to 3 cm
D. 4 cm to 5 cm
E. 7 cm to 9.7 cm
Answer» E. 7 cm to 9.7 cm
661.

Deflection the point of application of an external force acting on a beam is equal to the partial derivation of the work of deformation with respect to this force

A. Rankine's theorem
B. Mohr's hypothesis
C. Castigliano's theorem
D. Maxwell's theorem
E. None of the above
Answer» C. Castigliano's theorem
662.

A uniform beam of effective length L, fixed at one end and loaded uniformly will have maximum deflection at

A. 5/8 L from free end
B. 7/8 L from fixed end
C. Between CD
D. At free end
E. 3/8 L from free end
Answer» E. 3/8 L from free end
663.

Under uniaxial strain, the ratio of maximum shearing strain to uniaxial strain is

A. 2
B. 1.5
C. 1
D. 0.5
E. None of the above
Answer» D. 0.5
664.

Three pieces of wood having 3.75 cm x 3.75 cm square cross-sections are glued together and to the foundation. If the horizontal force P = 600 kg is applie3d to the central piece, the average shearing stress in each of the glued joints would be

A. 20 kg/cm2
B. 40 kg/cm2
C. 80 kg/cm2
D. 430 kg/cm2
E. 860 kg/cm2
Answer» A. 20 kg/cm2
665.

During suddenly applied impact loading the stress developed to gradually applied load is

A. 4 times
B. ?2 time
C. 1.5 times
D. 1
E. 2 times
Answer» E. 2 times
666.

Rivets are made of

A. Ductile material
B. Hard material
C. Brittle material
D. Malleable material
E. Tough material
Answer» A. Ductile material
667.

A beam of uniform strength will have at every cross-section

A. same deflection
B. same stiffuess
C. same bending moment
D. same bending stress
E. None of the above
Answer» D. same bending stress
668.

A solid steel shaft of 100 mm diameter transmits 100 HP at (450/?) r.p.m. The torque in kg-m on the shaft would be

A. 500
B. 750
C. 1000
D. 5000
E. 250
Answer» A. 500
669.

Principal plane has

A. No shear stress
B. Maximum compressive stress
C. No compressive stress
D. Maximum shear stress
E. Maximum tensile stress
Answer» D. Maximum shear stress
670.

A vessel is said to be thin walled, when

A. The vessel is made of thin sheets
B. The vessel wall thickness is less than 1 mm
C. The vessel wall thickness is equal to or less than 1/20 of the internal diameter of the vessel
D. The vessel wall thickness is equal to or less than 1/10 of the internal diameter of the above
E. None of the above
Answer» C. The vessel wall thickness is equal to or less than 1/20 of the internal diameter of the vessel
671.

Strain is

A. The change in metals
B. The change in shape and direction in metal
C. The result of load application on a body
D. The change of form produced in a piece by the action of load
E. None of the above
Answer» D. The change of form produced in a piece by the action of load
672.

The shape of steel chimneys commonly used is

A. Square
B. Circular
C. Octagonal
D. Elliptical
E. None of the above
Answer» B. Circular
673.

An axial hoad is applied on a circular section of diameter D. If the same load is applied on hollow circular section with inner diameter D/2, the ratio of stress in two cases would be

A. 4
B. 3?4
C. 4?3
E. 1
Answer» B. 3?4
674.

The loss of strength in compression due to overloading is known as

A. Relaxation
B. Creep
C. Hysteresis
D. Bauschinger effect
E. Resilience
Answer» D. Bauschinger effect
675.

When a rectangular beam is loaded longitudinally, shear stress develops on

A. Vertical planes only
B. Top fibre
C. Middle fibre
D. Every fibre
E. Bottom fibre
Answer» D. Every fibre
676.

A circular section of steel 20 mm diameter is subjected to an axial force of 100 kg. The components of force normal and tangential to a plane inclined to the axis of bar will be

A. 54 kg
B. 70.7 kg
C. 100 kg
D. 141 kg
E. 80 kg
Answer» B. 70.7 kg
677.

In the case of biaxial state of normal stresses, the normal stress on 45? plane is equal to

A. the sum of the normal stresses
B. the difference of the normal stresses
C. half the sum of the normal stress
D. half the difference of normal stresses
E. None of the above
Answer» C. half the sum of the normal stress
678.

An axial load P is applied on a circular section of diameter D. If the same load is applied on a hollow circular shaft with inner diameter as D/2, the ratio of stress in two cases would be

A. 3?4
B. 8?3
C. 4?3
D. 9?8
E. 1
Answer» B. 8?3
679.

A copper rod 15 mm diameter 0.8 m long is heated through 50?C. The expansion of the rod is prevented by gripping it at both ends. When the grips do not yield, the stress in rod is 115 N/mm2 and forces applied at the grips are 20 kN. In case one of the grip yields by 0.5 mm

A. the rod will be under tension
B. the force at grips will be increase
C. the compressive stress in the rod will increase
D. the compressive stress in the rod will reduce
E. None of the above
Answer» D. the compressive stress in the rod will reduce
680.

Approximate horse power that can be transmitted by a shaft 60 mm dimeter at 180 rpm with permissible shear stress of 850 kg/cm2 would be

A. 30 - 35
B. 35 - 50
C. 60 - 85
D. 85 - 95
E. 50 - 60
Answer» D. 85 - 95
681.

The efficiency of a riveted joint is defined as the ratio of actual strength of the joint to that of solid plate. In this strength of the joint is considered in

A. Tension
B. Compression (bearing)
C. Shear
D. Least of (A), (B) and (C) above
E. None of the above
Answer» D. Least of (A), (B) and (C) above
682.

A rectangular beam 200 mm deep by 100 mm wide-subjected to maximum bending moment of 500 kNm. The maximum stress in the beam will be

A. 250 N/mm2
B. 500 N/mm2
C. 750 N/mm2
D. 1500 N/mm2
E. None of the above
Answer» C. 750 N/mm2
683.

For a given stress the ratio of moment of resistance of a square beam with its side horizontal compared to when the diagonal is horizontal is

A. 1.5
B. ?2
C. 1.2
D. 2
E. depends on external load and moment of inertia
Answer» B. ?2
684.

A prismatic steel bar 25 cm long is subjected to axial compressive force of 2000 kg. For steel E = 2 x 106 kg/cm2. The ratio of strain energy when the cross-sectional area is 25 sq. cm to that when the cross-section area is 12.5 sq cm, would be

A. 0.5
B. 1
C. 0.25
D. 2
E. 4
Answer» C. 0.25
685.

In laminated spring the strips are provided in different lengths for

A. Space consideration of the utility stage
B. Reducing the weight
C. Equal distribution of stress
D. Material economy
E. Improved sppearance
Answer» C. Equal distribution of stress
686.

The modulus of resilience in shear is nearly

A. 380 kJ/m3
B. 260 kJ/m3
C. 150 kJ/m3
D. 95 kJ/m3
E. None of the above
Answer» A. 380 kJ/m3
687.

The numerical values of Young's modulus of elasticity in descending order for wood, lead, glass, steel and phospor brouze is given by

A. Steel, Wood, Lead Phosphor-bronze, Glass
B. Steel, Glass, Phosphor-bronze, Lead Wood
C. Steel, Phosphor-bronze, Glass, Lead and Wood
D. Steel, Lead, Wood, Phosphor-bronze, Glass
E. Steel, Phosphor-bronze, Wood, Glass, Lead
Answer» C. Steel, Phosphor-bronze, Glass, Lead and Wood
688.

The damping capacity of a material is its capacity to

A. Provide rigid joints
B. Neutralise torsional stress
C. Absorb shocks and vibrations
D. Absorb noise
E. Withstand shear stress
Answer» C. Absorb shocks and vibrations
689.

A section is subjected to reversal of stress. Choice exists for selecting any of the following section. Which one should be selected?

A. Hollow pipe
B. Equal angle iron
C. Unequal angle iron
D. T-section
E. None of the above
Answer» A. Hollow pipe
690.

The diameter of corresponding Mohr circle will represent

A. 80 MPa
B. 50 MPa
C. 30 MPa
D. 20 MPa
E. None of the above
Answer» D. 20 MPa
691.

For a beam of length L fixed at one end, supported at the other and loaded W at the centre C the maximum bending moment with occur at

A. Simply supported end
B. Between supported end and centre
C. Between fixed end and centre
D. Centre
E. Fixed end
Answer» E. Fixed end
692.

In SI units, one bar is equal to

A. 0.1 N/mm2
B. 1.0 N/mm2
C. 1.0 N/cm2
D. 10.0 N/m2
E. None of the above
Answer» A. 0.1 N/mm2
693.

The instrument used for the measurement of expansion and contraction due to change in temperature, is known as

A. Dilatometer
B. Bolometer
C. Padometer
D. Tellurometer
E. None of the above
Answer» A. Dilatometer
694.

A piece of steel plate is subjected to perpendicular stresses of 50 Mpa and 30 Mpa both tensile. The normal stress is

A. 8.6 MPa
B. 14.4 MPa
C. 26.6 MPa
D. 48.4 MPa
E. None of the above
Answer» A. 8.6 MPa
695.

In case of thin walled cylinders the ratio of hoop stress to maximum shear stress stress is

A. 2
C. 4
E. None of the above
Answer» C. 4
696.

Highest factor of safety is usually taken for

A. dead
B. live load
C. shock load
E. None of the above
Answer» C. shock load
697.

The bending moment diagram in case of a cantilever beam carrying a linearly varying load from zero at free end to maximum at supported end will be a

A. Cubic parabola
B. Inverse hyperbola
C. Traingle
D. Parabola
E. Rectangle
Answer» A. Cubic parabola
698.

The ratio of stress produced by suddenly applied load to that produced by the same load when gradually applied is

A. 4
C. 1
D. 2
E. The maximum energy stored at elastic limit per unit volume.
Answer» D. 2
699.

While evaluating the strength of riveted joint in shearing, bearing or tension the calculations are based on

A. Actual size of rivet
B. Actual size of hole drilled for the rivet
C. Mean of the size of hole and drilled hole
D. Smaller of the two holes
E. None of the above
Answer» B. Actual size of hole drilled for the rivet
700.

The modulus of rigidity is defined as

A. The ratio of true stress to true strain
B. The ratio of shear stress to shear strain
C. The ratio of longitudinal stress to longitudinal strain
D. The ratio of twisting moment to cross-sectional area
E. None of the above
Answer» B. The ratio of shear stress to shear strain

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