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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 .

151.

For an isotropic, homogeneous and elastic material obeying Hooke's law, number of independent elastic constants is

A. 2
B. 3
C. 9
D. 1
Answer» A. 2
152.

In a thin cylindrical shell, the ratio of longitudinal stress to hoop stress is

A. 0.5
B. 1
C. 2
D. 4
Answer» C. 2
153.

If all the dimensions of a prismatic bar are doubled, then the maximum stress produced in it under its own weight will

A. decrease
B. remain unchanged
C. increase to two times
D. increase to four times
Answer» C. increase to two times
154.

The relationship between Young's, modulus of elasticity E, bulk modulus K and Poisson's ratio u is given by

A. E = 2K(l-2u.)
B. E = 3K(l + u)
C. E = 3K(l-2u)
D. E = 2K(l + u)
Answer» C. E = 3K(l-2u)
155.

Limiting values of Poisson's ratio are

A. - 1 and 0.5
B. -land-0.5
C. 1 and - 0.5
D. 0 and 0.5
Answer» A. - 1 and 0.5
156.

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
Answer» C. one third that of a prismatic bar of same length
157.

If a material has identical properties in all directions, it is said to be

A. homogeneous
B. isotropic
C. elastic
D. orthotropic
Answer» B. isotropic
158.

Two bars of different materials are of the same size and are subjected to same tensile forces. If the bars have unit elongations in the ratio of 4 : 7, then the ratio of moduli of elasticity of the two materials is

A. 7:4
B. 4:7
C. 4:17
D. 16 :49
Answer» A. 7:4
159.

A prismatic bar of volume V is subjected to a tensile force in longitudinal direction. If Poisson's ratio of the material is u and longitudinal strain is e, then the final volume of the bar becomes

A. (l + e)(l-u)2V
B. (l-e)2(l + ue)V
C. (l + e)(l-ne)2V
D. (l-ue)3V
Answer» C. (l + e)(l-ne)2V
160.

If a composite bar of steel and copper is heated, then the copper bar will be under

A. tension
B. compression
C. shear
D. torsion
Answer» B. compression
161.

Effective length of a weld is equal to

A. overall length - weld size
B. overall length - throat thickness
C. overall length - 2 x weld size
D. overall length - 2 x throat thickness
Answer» C. overall length - 2 x weld size
162.

Size of a right angled fillet weld is given by

A. 0.707 x throat thickness
B. 0.414 x throat thickness
C. 2.0 x throat thickness
D. throat thickness
Answer» B. 0.414 x throat thickness
163.

The effective length of a fillet weld designed to transmit axial load shall not be less than

A. 2 x size of weld
B. 4 x size of weld
C. 6 x size of weld
D. 10 x size of weld
Answer» B. 4 x size of weld
164.

Size of fillet weld with unequal legs is equal to

A. smaller leg length
B. longer leg length
C. throat thickness
D. average of smaller and longer leg lengths
Answer» A. smaller leg length
165.

Weakest section in a fillet weld is

A. throat of the fillet
B. smaller side
C. side parallel to force
D. side perpendicular to force
Answer» A. throat of the fillet
166.

Effective throat thickness of a fillet weld is

A. 0.707 x size of weld
B. 1.414 x size of weld
C. a function of the angle between fusion faces
D. equal to the side of the fillet
Answer» C. a function of the angle between fusion faces
167.

According to Unwin's formula, the dia¬meter of rivet in mm to suit the t mm thickness of plate is given by

A. 6t
B. 6Vt
C. 1.9-y/t
D. 1.5 t+ 4
Answer» B. 6Vt
168.

A flat carrying a pull of 69C kN is con-nected to a gusset plate using rivets. If the pulls required to shear the rivet, to crush the rivet and to tear the plate per pitch length are 68.5 kN, 46 kN and 69 kN respectively, then the number of rivets required is

A. 10
B. 12
C. 15
D. 20
Answer» C. 15
169.

If the rivet value is 16.8 kN and force in the member is 16.3 kN, then the number of rivets required for the connection of the member to a gusset plate is

A. 1
B. 2
C. 3
D. 4
Answer» B. 2
170.

At a point in a strained body carrying two unequal unlike principal stresses pi and p2 (Pi > P2X the maximum shear stress is given by

A. p,/2
B. p2/2
C. (p,-p2)/2
D. (p, + p2)/2
Answer» D. (p, + p2)/2
171.

If a point in a strained material is subjected to equal normal and tangential stresses, then the angle of obliquity is

A.
B. 45°
C. tan"1 (1/2)
D. tan"1 (2)
Answer» B. 45°
172.

If a prismatic member with area of cross-section A is subjected to a tensile load P, then the maximum shear stress and its inclination with the direction of load respectively are

A. P/A and 45°
B. P/2Aand45°
C. P/2A and 60°
D. P/A and 30°
Answer» B. P/2Aand45°
173.

The sum of normal stresses is

A. constant
B. variable
C. dependent on the planes
D. none of the above
Answer» A. constant
174.

The radius of Mohr's circle for two equal unlike principal stresses of magnitude p is

A. p
B. p/2
C. zero
D. none of the above
Answer» A. p
175.

Shear stress on principal planes is

A. zero
B. maximum
C. minimum
D. none of the above
Answer» A. zero
176.

The state of pure shear stress is produced by

A. tension in one direction and equal compression in perpendicular direction
B. equal tension in two directions at right angles
C. equal compression in two directions at right angles
D. none of the above
Answer» A. tension in one direction and equal compression in perpendicular direction
177.

According to Rankine's hypothesis, the criterion of failure of a brittle material is

A. maximum principal stress
B. maximum shear stress
C. maximum strain energy
D. maximum shear strain energy
Answer» A. maximum principal stress
178.

Maximum bending moment in a beam occurs where

A. deflection is zero
B. shear force is maximum
C. shear force is minimum
D. shear force changes sign
Answer» D. shear force changes sign
179.

Rate of change of bending moment is equal to

A. shear force
B. deflection
C. slope
D. rate of loading
Answer» D. rate of loading
180.

The diagram showing the variation of axial load along the span is called

A. shear force diagram
B. bending moment diagram
C. thrust diagram
D. influence line diagram
Answer» A. shear force diagram
181.

The difference in ordinate of the shear curve between any two sections is equal to the area under

A. load curve between these two sections
B. shear curve between these two sections
C. bending moment curve between these two sections
D. load curve between these two sections plus concentrated loads applied between the sections
Answer» D. load curve between these two sections plus concentrated loads applied between the sections
182.

The variation of the bending moment in the portion of a beam carrying linearly varying load is

A. linear
B. parabolic
C. cubic
D. constant
Answer» C. cubic
183.

The maximum bending moment due to a moving load on a fixed ended beam occurs

A. at a support
B. always at the midspan
C. under the load only
D. none of the above
Answer» A. at a support
184.

A cantilever beam AB of length 1 carries a concentrated load W at its midspan C. If the free end B is supported on a rigid prop, then there is a point of contraflexure

A. between A and C
B. between C and B
C. one between A and C and other between C and B
D. nowhere in the beam
Answer» A. between A and C
185.

A prismatic beam fixed at both ends carries a uniformly distributed load. The ratio of bending moment at the supports to the bending moment at mid-span is

A. 0.5
B. 1.0
C. 1.5
D. 2.0
Answer» D. 2.0
186.

A beam of overall length 1 with equal overhangs on both sides carries a uniformly distributed load over the entire length. To have numerically equal bending moments at centre of the beam and at supports, the distance between the supports should be

A. 0.2771
B. 0.403 1
C. 0.5861
D. 0.7071
Answer» C. 0.5861
187.

A prismatic beam of length 1 and fixed at both ends carries a uniformly distributed load. The distance of points of contraflexure from either end is

A. 0.2071
B. 0.2111
C. 0.2771
D. 0.251
Answer» B. 0.2111
188.

A simply supported beam of length 1 carries a load varying uniformly from zero at left end to maximum at right end. The maximum bending moment occurs at a distance of

A. 1/V3 from left end
B. 1/3 from left end
C. 1/V3 from right end
D. 1/3 from right end
Answer» A. 1/V3 from left end
189.

A portion of a beam between two sections is said to be in pure bending when there is

A. constant bending moment and zero shear force
B. constant shear force and zero bending moment
C. constant bending moment and constant shear force
D. none of the above
Answer» A. constant bending moment and zero shear force
190.

The ratio of width to depth of a strongest beam that can be cut out of a cylindrical log of wood is

A. 1/2
B. 1/V2
C. 1/3
D. 2/3
Answer» B. 1/V2
191.

Of the several prismatic beams of equal lengths, the strongest in flexure is the one having maximum

A. moment of inertia
B. section modulus
C. tensile strength
D. area of cross-section
Answer» B. section modulus
192.

Of the two prismatic beams of same material, length and flexural strength, one is circular and other is square in cross-section. The ratio of weights of circular and square beams is

A. 1.118
B. 1.342
C. 1.000
D. 0.793
Answer» A. 1.118
193.

A flitched beam consists of a wooden joist 150 mm wide and 300 mm deep strengthened by steel plates 10 mm thick and 300 mm deep one on either side of the joist. If modulus of elasticity of steel is 20 times that of wood, then the width of equivalent wooden section will be

A. 150 mm
B. 350 mm
C. 500 mm
D. 550 mm
Answer» D. 550 mm
194.

A beam of rectangular cross-section is 100 mm wide and 200 mm deep. If the section is subjected to a shear force of 20 kN, then the maximum shear stress in the section is

A. 1 N/mm2
B. 1.125 N/mm2
C. 1.33 N/mm2
D. 1.5 N/mm2
Answer» D. 1.5 N/mm2
195.

A beam of square cross-section with side 100 mm is placed with one diagonal vertical. If the shear force acting on the section is 10 kN, the maximum shear stress is

A. 1 N/mm2
B. 1.125 N/mm2
C. 2 N/mm2
D. 2.25 N/mm2
Answer» B. 1.125 N/mm2
196.

A prismatic bar when subjected to pure bending assumes the shape of

A. catenary
B. cubic parabola
C. quadratic parabola
D. arc of a circle
Answer» D. arc of a circle
197.

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
Answer» C. above the neutral axis
198.

A beam of uniform strength has at every cross-section same

A. bending moment
B. bending stress
C. deflection
D. stiffness
Answer» B. bending stress
199.

For no torsion, the plane of bending should

A. be parallel to one of the principal axes
B. pass through shear centre of section
C. pass through neutral axis of the section
D. pass through centre of gravity of the section
Answer» B. pass through shear centre of section
200.

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 section is more economical
B. square section is more economical
C. both sections are equally strong
D. both sections are equally stiff
Answer» B. square section is more economical

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