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Mechanical Engineering
Strength Of Materials In ME
Quiz 12
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Q.1
The strain energy stored in a hollow circular shaft of outer diameter (D) and inner diameter (d) subjected to shear stress is
(τ²/2C) (D² - d²/D) × Volume of shaft
(τ²/2C) (D² + d²/D) × Volume of shaft
(τ²/4C) (D² - d²/D) × Volume of shaft
(τ²/4C) (D² + d²/D) × Volume of shaft
Q.2
Shear stress induced in a shaft subjected to tension will be
Maximum at periphery and zero at center
Maximum at center
Uniform throughout
None of the above
Q.3
The Young's modulus of a material is 125 GPa and Poisson’s ratio is 0.25. The modulus of rigidity of me material is
30 GPa
50 GPa
80 GPa
100 GPa
Q.4
A closely-coiled helical spring is cut into two halves. The stiffness of the resulting spring will be
Same
Double
Half
One-fourth
Q.5
The shear force diagram for a simply supported beam carrying a uniformly distributed load of w per unit length, consists of
One right angled triangle
Two right angled triangles
One equilateral triangle
Two equilateral triangles
Q.6
Efficiency of a riveted joint is the ratio of its strength (max. load it can resist without failure) to the strength of the unpunched plate in
Tension
Compression
Bearing
Any one of the above
Q.7
In the tensile test, the phenomenon of slow extension of the material, i. e. stress increasing with the time at a constant load is called
Creeping
Yielding
Breaking
Plasticity
Q.8
The direct stress induced in a long column is __________ as compared to bending stress.
Same
More
Less
Negligible
Q.9
In a simple bending of beams, the stress in the beam varies
Linearly
Parabolically
Hyperbolically
Elliptically
Q.10
The moment of resistance of a balanced reinforced concrete beam is based on the stresses in
Steel only
Concrete only
Steel and concrete both
None of these
Q.11
The bending equation is
M/I = σ/y = E/R
T/J = τ/R = Cθ/l
M/R = T/J = Cθ/l
T/l= τ/J = R/Cθ
Q.12
In a watch, the spring is used to store strain energy. This energy is released
To stop the watch
To run the watch
To change the time
All of these
Q.13
In a beam where shear force changes sign, the bending moment will be
Zero
Minimum
Maximum
Infinity
Q.14
In a simple bending theory, one of the assumptions is that the plane sections before bending remain plane after bending. This assumption means that
Stress is uniform throughout the beam
Strain is uniform throughout the beam
Stress is proportional to the distance from the neutral axis
Strain is proportional to the distance from the neutral axis
Q.15
The simply supported beam 'A' of length ‘l’ carries a central point load ‘W’. Another beam 'B' is loaded with a uniformly distributed load such that the total load on the beam is ‘W’. The ratio of maximum deflections between beams 'A' and 'B' is
5/8
8/5
5/4
4/5
Q.16
For a simply supported beam of length ‘l’, when a concentrated load W is applied in the center of the beam, the maximum deflection is
5WL³/ 384EI
WL³/384EI
WL³/ 348EI
WL³/ 48EI
Q.17
The stress at which the extension of the material takes place more quickly as compared to the increase in load, is called
Elastic limit
Yield point
Ultimate point
Breaking point
Q.18
If the depth is kept constant for a beam of uniform strength, then its width will vary in proportional to
Bending moment (i.e. M)
Bending moment² (i.e. M²)
Bending moment³ (i.e. M³)
Bending moment⁴ (i.e. M⁴)
Q.19
When a closely-coiled helical spring of mean diameter (D) is subjected to an axial load (W), the stiffness of the spring is given by
Cd⁴/D3n
Cd⁴/2D3n
Cd⁴/4D3n
Cd⁴/8D3n
Q.20
The polar moment of inertia of a hollow shaft of outer diameter (D) and inner diameter (d) is
π/16 (D³ - d³)
π/16 (D⁴ - d⁴)
π/32 (D⁴ - d⁴)
π/64 (D⁴ - d⁴)
Q.21
The torque transmitted by a hollow shaft of outer diameter (D) and inner diameter (d) is
(π/4) × τ [(D² - d²)/d]
(π/16) × τ [(D³ - d³)/d]
(π/16) × τ [(D⁴ - d⁴)/d]
(π/32) × τ [(D⁴ - d⁴)/d]
Q.22
The polar modulus for a hollow shaft of outer diameter (D) and inner diameter (d) is
(π/4) × (D² - d²)/D
(π/16) × (D3 - d3)/D
(π/16) × (D⁴ - d⁴)/D
(π/32) × (D⁴ - d⁴)/D
Q.23
A steel bar 2 m long, 20 mm wide and 10 mm thick is subjected to a pull of 2 kN. If the same bar is subjected to a push of 2 kN, the Poisson’s ratio of the bar in tension will be __________ the Poisson's ratio for the bar in compression.
Equal to
Less than
Greater than
None of these
Q.24
The energy absorbed in a body, when it is strained within the elastic limits, is known as
Strain energy
Resilience
Proof resilience
Modulus of resilience
Q.25
The assumption made in Euler's column theory is that
The failure of column occurs due to buckling alone
The length of column is very large as compared to its cross-sectional dimensions
The column material obeys Hooke's law
All of the above
Q.26
The rectangular beam 'A ' has length l, width b and depth d. Another beam 'B' has the same width and depth but length is double that of 'A'. The elastic strength of beam 'B' will be __________ as compared to beam A.
Same
One-half
One-fourth
One-eighth
Q.27
The maximum deflection of a cantilever beam of length ‘l’ with a point load ‘W’ at the free end is
Wl3/3EI
Wl3/8EI
Wl3/16EI
Wl3/48EI
Q.28
The rectangular beam 'A' has length l, width b and depth d. Another beam 'B' has the same length and width but depth is double that of 'A'. The elastic strength of beam B will be __________ as compared to beam A.
Same
Double
Four times
Six times
Q.29
The ultimate tensile stress for mild steel is __________ the ultimate compressive stress.
Equal to
Less than
More than
None of these
Q.30
When a body is subjected to biaxial stress i.e. direct stresses (σx) and (σy) in two mutually perpendicular planes accompanied by a simple shear stress (τxy), then maximum shear stress is
(1/2) × √[(σx - σy)² + 4 τ²xy]
(1/2) × √[(σx + σy)² + 4 τ²xy]
√[(σx - σy)² + τ²xy]
√[(σx + σy)² + τ²xy]
0 h : 0 m : 1 s
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