870+ Strength of Materials Solved MCQs

701.

The elongation of a conical bar under its own weight is equal to

A. that of a prismatic bar of the same length
B. one third that of a prismatic bar of the same length
C. One fourth that of a prismatic bar of the same length
D. one sixth that of a prismatic bar of the same length
E. None of the above
Answer» B. one third that of a prismatic bar of the same length
702.

A propped cantilever is indeterminate externally to

A. the second degree
B. the third degree
C. the fourth degree
D. None of the above
E. None of the above
Answer» A. the second degree
703.

Secondary stresses may be set up in a frame due to any of the following reasons EXCEPT

A. rigidity of the members
B. ecentricity of connections
C. self-weight of the members
D. members not being straight
E. None of the above
Answer» A. rigidity of the members
704.

Which of the following is dimensionless?

A. Coefficient of linear expansion
B. Thermal stress
C. Strain
D. Bulk modulus
E. Shear stress
Answer» C. Strain
705.

Diamond riveting is generally used for

A. Butt joints
B. Lap joints
C. Revised joints for dissimilar materials
D. Riveted joints for materials of different thickness
E. None of the above
Answer» A. Butt joints
706.

When a number of loads rest upon a beam, dflection at any point is equal to the sum of the deflections at the point due to each of the loads taken separately. This statement is known as

A. Rankine's theorem
B. Mohr's hypothesis
C. Maxwell's theorem
D. Castigliano's theorem
E. None of the above
Answer» E. None of the above
707.

The rate of change of bending moment is equal to

A. Shear force
B. Deflection
C. Slope
D. Poisson's ratio x deflection
E. None of the above
Answer» A. Shear force
708.

Shear stress on principal planes is

A. maximum
B. minimum
C. zero
D. None of the above
E. None of the above
Answer» C. zero
709.

The closed-coiled helical springs are made from the same small diameter wire, one wound on 2.5 cm diameter core and the other on 1.25 cm diameter core. If each spring has n coils, the ratio of their spring constants would be

A. 1?2
B. 1
C. 1?8
D. 1?4
E. 1?16
Answer» C. 1?8
710.

Two steel shaft each of length L and outside diameter D are subjected to uniform torsion. The first shaft is solid while the second one is hollow with inside diameter D/2. The ratio of the strain energies that these two shafts can absorb without exceeding a maximum allowable shear stress, would be

A. 16?15
B. 3?4
C. 8?7
D. 16?15
E. 7?8
Answer» D. 16?15
711.

A feinforced concrete beam is considered as made of

A. Composite material
B. Homogeneous material
C. Clad material
D. Hetrogeneous material
E. Isotropic material
Answer» D. Hetrogeneous material
712.

The shear stress required to cause plastic deformation of solid metals is known as

A. Flow stress
B. Proof stress
C. Rupture stress
D. Ultimate stress
E. None of the above
Answer» A. Flow stress
713.

Continuous beams are

A. Stronger and much stiffer than simple beams
B. Weaker and less stiffer than simple beams
C. Subjected to excessive shear strain
D. Withstanding double the maximum bending moment on simple beams
E. None of the above
Answer» A. Stronger and much stiffer than simple beams
714.

The method of increasing fatigue resistance by over-stressing the metal by successively increasing loading is known as

A. Coaxing
B. Relaxing
C. Compounding
D. Bauschinger effect
E. None of the above
Answer» A. Coaxing
715.

A continuous beam is one which is

A. Infinitely long
B. Supported at two points only
C. Supported at more than two supports
D. Fixed at the ends and simply supported at intermediate point
E. None of the above
Answer» C. Supported at more than two supports
716.

A mild steel flat 3 m long 150 mm wide and 15 mm thick carries an axial tensile load of 150 kN. If the value of u for mild steel is 0.3, it can be concluded that

A. length, width and thickness all will elongate
B. length and width will increase but thickness will decrease
C. length and thickness will increase but width will ecrease
D. length will increase but width and thickness will decrease
E. None of the above
Answer» D. length will increase but width and thickness will decrease
717.

A cantilever beam rectangular in cross-section is subjected to a load W at its free end, causing deflection ?1. If the load is increased to 2W, causing deflwction ?2, the value of ?1/?1 would be

B. 22
C. 4
D. Stress is proportional to strain at all section
E. 1
Answer» C. 4
718.

In a tensile test conducted on a ductile material, the ratio of the true stress to the engineering stress, is approximately

A. 0.2
B. 1.05
C. 0.9
D. 10
E. None of the above
Answer» C. 0.9
719.

In case of a circular shaft subjected to torque the value of shear stress

A. Has maximum value at the axis
B. Varies linearly from axis to surface
C. Has maximum value at the surface
D. Is uniform throughout
E. Is zero at the axis and linearly increases to a maximum value at the surface of the shaft
Answer» E. Is zero at the axis and linearly increases to a maximum value at the surface of the shaft
720.

Temperature stresses are set up in a material when

A. it is free to expand or contract
B. it is first heated and then cooled
C. it is first colled and then heated
D. its expansion or contraction is restrained
E. None of the above
Answer» D. its expansion or contraction is restrained
721.

The effective length of a column effectively held in position and restrained in direction at both ends will be

A. 2L
B. 0.67 L
C. L
D. 1.5 L
E. 0.85 L
Answer» A. 2L
722.

The average values of modulus of rigidity for Aluminium. Brass Copper, Nickel and Steel in desceading order are given by

A. Aluminium, Nickle, Steel, Brass, Copper
B. Steel, Nickle, Copper, Brass, Aluminium
C. Aluminium, Brass, Copper, Nickel, Steel
D. Aluminium, Copper, Nickel, Brass, Steel
E. Brass, Copper, Aluminium, Nickel, Steel
Answer» C. Aluminium, Brass, Copper, Nickel, Steel
723.

For punching a hole of 25 mm diameter in a plate 20 mm thick, if the shear stress of plate material is 30 kg/mm2, the force required would be

A. 10,000 kg
B. 18,850 kg
C. 28,850 kg
D. 47,123 kg
E. None of the above
Answer» D. 47,123 kg
724.

A column that fails primarily due to direct stress is called

A. Long column
B. Weak column
C. Short column
D. Medium column
E. None of the above
Answer» C. Short column
725.

A uniform steel rope 400 metres long is hung vertically. The weight of the steel is 7.8 gm/cm3 and D = 2100 kg/mm2. The ratio of elongation of first 150 metres to that of first 300 metres would be

A. 1 ; 2
B. 1 ; 4
C. 2 ; 1
D. 4 ; 1
E. 16 ; 1
Answer» B. 1 ; 4
726.

The materials which exhibit the same elastic properties in all directions are called

A. Visco-elastic
B. Isentropic
C. Isotropic
D. Inelastic
E. Homogeneous
Answer» C. Isotropic
727.

The size of hole drilled in plates for rivetting is

A. Equal to the diameter of rivet shank
B. Slightly smaller than the diameter of river shank
C. 1.5 to 2 mm smaller than the diameter of rivet for revets of 25 mm and above size
D. 1.5 to 2 mm large than the diameter of the rivet for rivets of 25 mm and above size
E. None of the above
Answer» D. 1.5 to 2 mm large than the diameter of the rivet for rivets of 25 mm and above size
728.

The potential energy stored up in a deformed body is known as

A. Strain energy
B. Potential energy
C. Resilience
D. Deformation energy
E. None of the above
Answer» C. Resilience
729.

Laminated springs are generally

A. loaded at ends and supported at centre
B. loaded at centre and supported at ends
C. loaded as well as supported at centre
D. loaded as well as supported at ends
E. None of the above
Answer» B. loaded at centre and supported at ends
730.

A body having similar properties throughout its volume is said to be

A. Uniform
B. Isotropic
C. Contimuous
D. Homogeneous
E. Isentropic
Answer» D. Homogeneous
731.

The units of true strain are

A. cm/cm
B. kg/cm
C. kg-cm/cm
D. Dirnensionless
E. None of the above
Answer» D. Dirnensionless
732.

A material capable of absorbing large amounts of energy is known as

A. Ductile
B. Shock proof
C. Resilient
D. Hard
E. Tough
Answer» E. Tough
733.

For beam of length L fixed at two ends A and B and loaded W at the centre C the maximum bending moment will

A. Occur at A
B. Occur at B
C. Occur at C
D. (A) and (B) above
E. (A) (B) and (C) above
Answer» E. (A) (B) and (C) above
734.

In M.L.T. system the dimensions of Young's modulus of elasticity are

A. MLT
B. ML-1 T-2
C. MLT-2
D. ML-2 T-2
E. MLT-1
Answer» B. ML-1 T-2
735.

If, for a given material, the modulus of elasticity is equal to twice its modulus of rigidity (G), then the bulk modulus is

A. 2 G
B. 0.33 G
C. 9 G
D. 0.67 G
E. None of the above
Answer» D. 0.67 G
736.

For a thin longitudinal cylinder the ratio hoop stress/longitudinal stress is

A. 4
C. 2
D. 1
Answer» C. 2
737.

The modulus of resilience is

A. The energy stored in a body
B. Strain energy stored in a specimen when strained within elastic limit
C. The maximum energy stored at elastic limit per unit volume.
D. Strain energy stored in a specimen when strained beyond elastic limit
E. The maximum energy stored at elastic limit
Answer» C. The maximum energy stored at elastic limit per unit volume.
738.

The strain energy stored in a specimen when strained within elastic limit is known as

A. Proof strain energy
B. Strain energy
C. Elastic limit strain energy
D. Resilience
E. None of the above
Answer» D. Resilience
739.

Euler's formula is not applicable to columns

A. with both ends free
B. with both ends fixed
C. of composite material
D. having slenderness ratio less than 80
E. None of the above
Answer» D. having slenderness ratio less than 80
740.

A non-wielding support means

A. Support that restores elongation after the load is removed
B. Slope of the beam at the support is zero
C. Support is frictionless
D. Support that does not elongate
E. Support holds the load firmly and safely
Answer» B. Slope of the beam at the support is zero
741.

The moment of inertia of an area will be least with respect to

A. central axis
B. horizontal
C. vertical axis
D. moment of area does not depend on axes
E. None of the above
Answer» A. central axis
742.

If this shaft is to be replaced by a hollow shaft of texternal diameter 22 mm for the same maximum shear stress and same torque, the internal diameter will be

A. 15.5 mm
B. 11 mm
C. 21 mm
D. 31 mm
E. 51 mm
Answer» D. 31 mm
743.

A column is known as short column if

A. The length is more than 30 times the diameter
B. The slenderness ratio is more than 32
C. Slenderness ratio is more than 120
D. The length is less than 8 times the diameter
E. The length is 15 times the diameter
Answer» D. The length is less than 8 times the diameter
744.

Two beams of equal cross-sectional area are subjected to equal bending moment. If one beam has square cross-section and the other has circular section, then

A. The suitability of section will depend on the nature of loading
B. In shear, square section beam will be stronger
C. Both beams will be equally strong
D. Square section beam will be economical
E. Circular section beam will be economical
Answer» D. Square section beam will be economical
745.

The slenderness ratio of vertical comumn of square cross-section of 2.5 cm sides and 600 cm length is

A. 500
B. 200
C. 100
D. 900
E. 1000
Answer» D. 900
746.

The torsional resisting moment of the following section is being considered with identical characteristic parameter. Which section will have maximum torsional resisting moment

A. Hollow circular
B. Circular
C. Triangular
D. Square
E. Hexagonal
Answer» E. Hexagonal
747.

The force required to punch a 25 mm hole in a mild steel pipe 10 mm thich, when ultimate shear stress of the plate is 500 N/mm2 will be nearly

A. 78 kN
B. 98 kN
C. 393 kN
D. 158 kN
E. None of the above
Answer» C. 393 kN
748.

During the tensile test on a glass rod, the nature of stress section curve is

A. Vertical line
B. Sudden break
C. Same as that for mild steel
D. Horizontal line
E. Straight line
Answer» B. Sudden break
749.

The plastic moment of a beam can be 50 percent more than the maximum elastic moment in case the cross-section of the beam is

A. Circular
B. Rectangular
C. Elliptical
D. I-section
E. Semi-circular
Answer» B. Rectangular
750.

If unit loads rest upon a beam at two points A and B, the deflection at A due to unit load at B, equals the deflection at B due to the unit load at A. This is known as

A. Rankine's theorem
B. Mohr's hypothesis
C. Castigliano's theorem
D. Maxwell's theorem
E. None of the above
Answer» D. Maxwell's theorem
751.

If the rivet value is 2000 N and the force in the member is 2000 N, the number of rivets required for the connection of the member to a gusset plate is

A. 1
B. 2
C. 4
D. 8
E. None of the above
Answer» B. 2
752.

A material which recovers fully after unloading but not instantaneously is known as

A. Elastic
B. Partially elastic
C. Anelastic
D. Inelastic
E. Plastic
Answer» C. Anelastic
753.

If Young's modulus of elasticity is determined for mild steel in tension and compression, the two values will have a ratio (Et/Er) of

A. Rhombus
B. 0.5
C. 1.2
D. 1
E. 2
Answer» D. 1
754.

Clad metals are

A. Non-ferrous materials
B. Two or more dissimilar materials riveted together
C. Two or more dissimilar materials joined together by welding
D. Two or more dissimilar materials jointed together under very high hydraulic pressure
E. None of the above
Answer» D. Two or more dissimilar materials jointed together under very high hydraulic pressure
755.

Two bars of sifferent materials are of the same size and are subjected to same tensile forces. If the bars have unit elongation in the ratio of 7 : 3, then the ratio of modulii of elasticity of the two materials is

A. 8 ; 3
B. 3 ; 8
C. 64 ; 9
D. 9 ; 64
E. None of the above
Answer» A. 8 ; 3
756.

A square steel bar 20 mm on a side is subjected to an axial compressive load of 8 kN. The normal stress acting on plane 30? to the line action of the axial load will be

A. 0.5 N/mm2
B. 2.5 N/mm2
C. 50 N/mm2
D. 550 N/mm2
E. None of the above
Answer» A. 0.5 N/mm2
757.

Hooke's Law is valid within the limits of proportionality. The limit of proportionality depends on

A. type of loading
B. area of cross-section
C. type of material
D. hardness of material
E. None of the above
Answer» C. type of material
758.

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

A. 2
C. 4
E. None of the above
Answer» E. None of the above
759.

Strain rosettes are generally used for

A. Measurement of resilience
B. Measurement of proof stress
C. Measurement of shear strain
D. Measurement of longitudinal strains
E. Measurement of load
Answer» D. Measurement of longitudinal strains
760.

When a strip made of iron and copper is heated

A. It bends
B. It gets twisted
C. Iron bends on convex side
D. Iron bends on concave side
E. None of the above
Answer» D. Iron bends on concave side
761.

The ratio of maximum shear stress to average shear stress in case of a circular beam transmitting power is equal to

A. 3?4
B. 5?4
C. 2?5
D. 4?3
E. 4?5
Answer» D. 4?3
762.

In case the modulus of elasticity for a material is 200 GN/m2 and Poisson's ratio is 0.25, the modulus of rigidity is

A. 250 GN/m2
B. 125 GN/m2
C. 80 GN/m2
D. 320 GN/m2
E. None of the above
Answer» C. 80 GN/m2
763.

The ratio of maximum shear stress to the average shear stress in a rectangular beam subjected to torsion is

A. 4?5
B. 5?4
C. 3?4
D. 3?2
E. 2?3
Answer» D. 3?2
764.

The safe value of stress under which a member subjected to reversible tensile or compressive stress will not fail is known as

A. Safe stress
B. Fatigue stress
C. Endurance limit
D. Proof stress
E. Elastic limit stress
Answer» C. Endurance limit
765.

When a member is subjected to axial tensile load, the greatest normal stress is equal to

A. half the maximum shear stress
B. maximum shear stress
C. twice the maximum shear stress
D. four times the maximum shear stress
E. None of the above
Answer» C. twice the maximum shear stress
766.

If the load at the free end of a cantilever beam is increased, the failure will occur

A. Any where between free end and centre
B. At the centre
C. At the free and
D. At the support
E. Any where between free end and support
Answer» D. At the support
767.

Moment area method is useful determining the following in a beam

A. slope and deflection at point
B. Shear force and bending moment at a point
C. tensile and compressive stresses at a point
D. None of the above
E. None of the above
Answer» A. slope and deflection at point
768.

According to Rankine's theory of failure, elastic failure occurs

A. When the minor principal stress is equal to the elastic limits value in a simple tension test
B. When the greatest principal stress reaches the elastic limit value in simple tension test
C. When the greatest principal stress is equal to the stress corresponding to the upper yield limit in a tension test
D. None of the above
E. None of the above
Answer» B. When the greatest principal stress reaches the elastic limit value in simple tension test
769.

For a beam of length L fixed at end A and simply supported at end B and loaded uniformly by a load W the maximum bending moment will occur at

A. Centre C
B. B
C. A
D. Between AC
E. Between CD
Answer» C. A
770.

Necking in case of ductile materials begins at the

A. elastic limit point
B. upper yield point
C. lower yield point
D. ultimate point
E. None of the above
Answer» D. ultimate point
771.

The ratio of average shear stress to maximum shear stress for a circular section is

A. 3?2
B. 2?3
C. 4?3
D. 2
E. 3?4
Answer» E. 3?4
772.

The bending moment diagram for a cantilever beam subjected to bending moment at the end of the beam would be

A. Rectangle
B. Triangle
C. Parabola
D. Cubic parabola
E. None of the above
Answer» A. Rectangle
773.

For which of following material the value of Poissons ratio is more than 1?

A. Cork
B. Dead mild steel
C. Wood
D. Plastic
E. None of the above
Answer» E. None of the above
774.

The strain energy of the spring when it is subjected to the greatest load which the spring can carry without suffering permanent distortion is known as

A. Proof strain energy
B. Proof load stress
C. Proof resilience
D. Proof stress
E. Limiting stress
Answer» C. Proof resilience
775.

The deformation of any structure takes place in such a manner that the work of deformation is a minimum. This is known as

A. Principle of least work
B. Law of minimum energy
C. Law of conservation of energy
D. Principle of failure of structure
E. None of the above
Answer» A. Principle of least work
776.

A cantilever beam rectangular in cross-section is subbjected to a load W at its free end. If the depth of the beam is doubled and the load is halved, the deflection of the free end as compared to original deflection will be

A. Double
B. One-sixteenth
C. Eight times
D. One eight
E. Half
Answer» B. One-sixteenth
777.

The neutral axis of a simply supported beam is

A. Where fibres are subjected to maximum compression
B. Where fibres do not undergo strain
C. Where fibres are subjected to maximum bending stress
D. When fibres are subjected to minimum bending stress
E. Where fibres undergo maximum strain
Answer» B. Where fibres do not undergo strain
778.

The point of contraflexure occurs in

A. All types of beams
B. Continuous beam only
C. Simply supported beams only
D. Cantilever beams only
E. Overhanging beams only
Answer» E. Overhanging beams only
779.

A short, hollow cast iron cylinder with a wall thickness of 1 cm is to carry a compressive load of 10 tonnes. If the working stress in compression is 800 kg/cm2, the outside diameter of the cylinder should not be less than

A. 0.5 cm
B. 1.0 cm
C. 4.5 cm
D. 2.5 cm
E. 5 cm
Answer» E. 5 cm
780.

In case of thin cylindrical shell with hemispherical ends

A. The thickness of cylindrical is more than that of spherical ends
B. The thickness of cylinderical shell is less than that of spherical ends
C. The thickness of cylindrical is same as that of spherical ends
D. The thickness of cylindrical shell is double of the thickness of spherical shell
E. None of the above
Answer» A. The thickness of cylindrical is more than that of spherical ends
781.

The amount of resilience is equal to

A. The work required to deform the body zero stress to stress within elastic limit
B. Elastic energy stored in unit area of material
C. Equal to the area of the stress deformation diagram
D. None of the above
E. None of the above
Answer» A. The work required to deform the body zero stress to stress within elastic limit
782.

A strip of steel 75 mm wide 40 mm thick is bent round a circular drum of 4.96 m outside diameter. If E = 2 x 105 N/mm2, the maximum stress due to bending will be

A. 1600 N/mm2
B. 1200 N/mm2
C. 800 N/mm2
D. 400 N/mm2
E. None of the above
Answer» A. 1600 N/mm2
783.

A pressure vessel is said to be thin walled when the ratio of internal diameter of the vessel and wall thickness is

A. More than 20
B. 5
C. There is no such relationship
D. 15
E. 10
Answer» A. More than 20
784.

For a beam of uniform strength if its depth is maintained constant, then its width will vary in proportion to

A. Bending Moment, BM
B. (BM)2
C. (BM)
D. (BM)3
E. None of the above
Answer» A. Bending Moment, BM
785.

Two beams carrying identical loads simply supported are having same width but beam A has double the depth as compared to that of beam B. The ratio of elastic strength of neam A compared to that of B will be

A. 2
C. ?
D. 4
E. 8
Answer» D. 4
786.

Force required to punch a 15 mm hole in a mild steel pipe 5 mm thick, when ultimate shear stress of the plate is 500 N/mm2, will be nearly

A. 78 kN
B. 98 kN
C. 118 kN
D. 158 kN
E. None of the above
Answer» C. 118 kN
787.

A cantilever beam of length 5 m carries a uniformly distributed load of 100 Newtons/m throughout its length. The maximum shearing force in the beam will be

A. 100 N
B. 250 N
C. 500 N
D. 1250 N
E. None of the above
Answer» C. 500 N
788.

The limit within which Hooke's law holds good is known as

A. Elastic limit
B. Plastic limit
C. Yield point
D. Eulers limit
E. None of the above
Answer» A. Elastic limit
789.

The theory of failure considered appropriate for ductile materials is

A. Rankines theory
B. Beltrami's theory
C. St. Venant theory
D. Von Mises theory.
E. None of the above
Answer» D. Von Mises theory.
790.

A bronze specimen has modulus of elasticity 1.2 x 105 N/mm2 and modulus of rigidity 4.7 x 104 N/mm2. The Poisson's ratio of the material will be

A. 0.196
B. 0.276
C. 0.45
D. 0.471
E. None of the above
Answer» B. 0.276
791.

The intensity of wind pressure is taken as

A. directly proportinal to wind velocity
B. universely proportional to wind velocity
C. directly proportional to square of wind velocity
D. inversely proportional to square of wind velocity
E. None of the above
Answer» C. directly proportional to square of wind velocity
792.

Which of the following statement is incorrect?

A. At a hinge in a beam there is no bending moment but there is shear force
B. In case of inclined loads horizontal components cause thrust in the beam
C. Bending moment is maximum at a point where shear force is zero or where it changes deflection from positive to negative or vice versa
D. The point where shear force is zero is known as the point of contraflexure
E. None of the above
Answer» E. None of the above
793.

A thin cylinder contains fluid at a pressure of 30 kg/cm2, the inside diameter of the shell is 60 cm and the tensile stress in the material is to be limited to 900 kg/cm2. The shell must have minimum wall thickness of

A. 1000 mm
B. 1 mm
C. 2.7 mm
D. 10 mm
E. 9 mm
Answer» D. 10 mm
794.

A tower subjected to load W has self-weight 2W. It is to be designed for constant compressive stress at all sections. The cross-section of the tower should have

A. Tapering section
B. Circular section
C. Parabolic section
D. Hyperbolic section
E. None of the above
Answer» E. None of the above
795.

The Young's modulus of elasticity of a material is twice its modulus of rigidity. The Poisson's ratio for the material will be

A. Zero
B. 0.5
C. 1
D. None of the above
E. None of the above
Answer» A. Zero
796.

Web crippling occurs due to

A. column action of the web
B. failure of web under concentrated load
C. excessive bending moment
D. secondary stresses
E. None of the above
Answer» B. failure of web under concentrated load
797.

The light gauge steel structural members are usually

A. hot rolled
B. cold rolled
C. casted
D. riveted
E. None of the above
Answer» B. cold rolled
798.

Static loading of a specimen

A. Is done in steps
B. Is done by continuously increasing the work load
C. Is done by applying load in a short period during specified intervals
D. Is done by applying the load slowly enough so that all parts of the specimen are in equilibrium at any instant
E. None of the above
Answer» D. Is done by applying the load slowly enough so that all parts of the specimen are in equilibrium at any instant
799.

A beam fixed at both ends with a central load W in the middle will have zero bending moment as

A. One place
B. No where
C. Three places
D. Four places
E. Two places
Answer» E. Two places
800.

A body is subjected to two normal stresses of 200 kN/m2 (tensile) and 100 kN/m2 (compressive) acting mutually perpendicular to each other. The maximum sher stress is equal to

A. 50 kN/m2
B. 100 kN/m2
C. 150 kN/m2
D. 300 kN/m2
E. None of the above
Answer» C. 150 kN/m2
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