The strain energy stored in a solid circular shaft in torsion, subjected to shear stress (τ), is: (Where, G = Modulus of rigidity for the shaft material)
τ²/ 2G × Volume of shaft
τ/ 2G × Volume of shaft
τ²/ 4G × Volume of shaft
τ/ 4G × Volume of shaft
Correct Answer :
C. τ²/ 4G × Volume of shaft
Related Questions
A column is said to be a short column, when
Its length is very small
Its cross-sectional area is small
The ratio of its length to the least radius of gyration is less than 80
The ratio of its length to the least radius of gyration is more than 80
The __________ states that change of internal energy of a perfect gas is directly proportional to the change of temperature.
Boyle's law
Charle's law
Gay-Lussac law
Joule's law
The total energy of a molecule is shared equally by the various degrees of freedom possessed by it. This law is known as
Law of equipartition of energy
Law of conservation of energy
Law of degradation of energy
None of these
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Air
Steam
Ordinary gas
Modular ratio of two materials is the ratio of
Strains
Stress and strain
Shear stress and shear strain
Moduli and elasticity
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Resilience
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Strain energy
Impact energy
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Increasing the internal energy of gas
Doing some external work
Increasing the internal energy of gas and also for doing some external work
None of the above
The kinetic energy per kg molecule of any gas at absolute temperature T is equal to (where Ru = Universal gas constant)
Ru × T
1.5 Ru × T
2 Ru × T
3 Ru × T
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Double
Half
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√(KT/m)
√(2KT/m)
√(3KT/m)
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More
Less
Equal
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(m - 1)/ (2m - 1)
(2m - 1)/ (m - 1)
(m - 2)/ (3m - 4)
(m - 2)/ (5m - 4)
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(σx/2) + (1/2) × √(σx² + 4 τ²xy)
(σx/2) - (1/2) × √(σx² + 4 τ²xy)
(σx/2) + (1/2) × √(σx² - 4 τ²xy)
(1/2) × √(σx² + 4 τ²xy)
Which of the following cycles is not a reversible cycle?
Carnot
Ericsson
Stirling
None of the above
The extension of a circular bar tapering uniformly from diameter d₁ at one end to diameter d₂ at the other end and subjected to an axial pull of P is given by
δl = 4PE/ πl²
δl = 4πld²/PE
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δl = 4PlE/ πd₁d₂
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At the tip below the load
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Anywhere
A pressure vessel is said to be a thick shell, when
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The ratio of wall thickness of the vessel to its diameter is greater than 1/10.
The atomic mass of oxygen is
12
14
16
32
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Zero
Minimum
Maximum
Infinity
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Fixed at both ends
Fixed at one end and free at the other end
Supported at its ends
Supported on more than two supports
The efficiency of Joule cycle is
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Less than Carnot cycle
Equal to Carnot cycle
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Perpendicular to the axis of load
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23.97 bar
25 bar
26.03 bar
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First kind
Second kind
Third kind
None of these
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Ductility
Plasticity
Elasticity
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Oxygen
Nitrogen
Hydrogen
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-273°C
73°C
237°C
-237°C
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Top layer
Bottom layer
Neutral axis
Every cross-section
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(σx + σy)/2 + (1/2) × √[(σx - σy)² + 4 τ²xy]
(σx + σy)/2 - (1/2) × √[(σx - σy)² + 4 τ²xy]
(σx - σy)/2 + (1/2) × √[(σx + σy)² + 4 τ²xy]
(σx - σy)/2 - (1/2) × √[(σx + σy)² + 4 τ²xy]
When a bar is subjected to a change of temperature and its deformation is prevented, the stress induced in the bar is
Tensile stress
Compressive stress
Shear stress
Thermal stress