When a body is subjected to a direct tensile stress (σx) in one plane accompanied by a simple shear stress (τxy), the maximum shear stress is
(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)
Correct Answer :
D. (1/2) × √(σx² + 4 τ²xy)
Related Questions
Tensile strength of a material is obtained by dividing the maximum load during the test by the
Area at the time of fracture
Original cross-sectional area
Average of (A) and (B)
Minimum area after fracture
The maximum diameter of the hole that can be punched from a plate of maximum shear stress 1/4th of its maximum crushing stress of punch, is equal to (where t = Thickness of the plate)
t
2t
4t
8t
Which of the following statement is wrong?
The closed cycle gas turbine plants are external combustion plants.
In the closed cycle gas turbine, the pressure range depends upon the atmospheric pressure.
The advantage of efficient internal combustion is eliminated as the closed cycle has an external surface.
In open cycle gas turbine, atmosphere acts as a sink and no coolant is required.
The efficiency of Stirling cycle is __________ Carnot cycle.
Greater than
Less than
Equal to
None of these
When a bar is cooled to - 5°C, it will develop
No stress
Shear stress
Tensile stress
Compressive stress
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)
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
The increase in entropy of a system represents
Increase in availability of energy
Increase in temperature
Decrease in pressure
Degradation of energy
The deformation of a bar under its own weight compared to the deformation of same body subjected to a direct load equal to weight of the body is
Same
Double
Half
Four times
The ratio of direct stress to volumetric strain in case of a body subjected to three mutually perpendicular stresses of equal intensity, is equal to
Young's modulus
Bulk modulus
Modulus of rigidity
Modulus of elasticity
When coal is strongly heated continuously for 42 to 48 hours in the absence of air in a closed vessel, the process is known as __________ of fuel.
Atomisation
Carbonisation
Combustion
None of these
Which of the following statement is correct?
The heat and work are boundary phenomena
The heat and work represent the energy crossing the boundary of the system
The heat and work are path functions
All of the above
A composite shaft consisting of two stepped portions having spring constants K₁ and K₂ is held between two rigid supports at the ends. Its equivalent spring constant is
K₁ K₂
(K₁ + K₂)/ 2
(K₁ + K₂)/ K₁ K₂
K₁ K₂/ (K₁ + K₂)
The distillation carried out in such a way that the liquid with the lowest boiling point is first evaporated and recondensed, then the liquid with the next higher boiling point is then evaporated and recondensed, and so on until all the available liquid fuels are separately recovered in the sequence of their boiling points. Such a process is called
Cracking
Carbonisation
Fractional distillation
Full distillation
During which of the following process does heat rejection takes place in Carnot cycle?
Isothermal expansion
Isentropic expansion
Isothermal compression
Isentropic compression
Impact strength of a material is an index of its
Toughness
Tensile strength
Capability of being cold worked
Hardness
When wood is heated with a limited supply of air to a temperature not less than 280°C, the resulting fuel is
Coke
Wood charcoal
Bituminous coal
Briquetted coal
The relation between Young's modulus (E), shear modulus (C) and bulk modulus (K) is given by
E = 3K.C/(3K + C)
E = 6K.C/(3K + C)
E = 9K.C/(3K + C)
E = 12K.C/(3K + C)
Select the correct statement as per Charles' law
p.v = constant, if T is kept constant
v/T = constant, if p is kept constant
p/T = constant, if v is kept constant
T/p = constant, if v is kept constant
The materials having same elastic properties in all directions are called
Ideal materials
Uniform materials
Isotropic materials
Piratical materials
The lower layer of the beam as shown in the below figure, will be
In tension
In compression
Neither in tension nor in compression
None of these
The buckling load for a given column depends upon
Area of cross-section of the column
Length and least radius of gyration of the column
Modulus of elasticity for the material of the column
All of the above
The ideal efficiency of a Brayton cycle without regeneration, with increase in pressure ratio will
Increase
Decrease
Remain unchanged
Increase/decrease depending on application
The oxygen atom is ________ times heavier than the hydrogen atom.
2
8
16
32
If both Stirling and Carnot cycles operate within the same temperature limits, then efficiency of Stirling cycle as compared to Carnot cycle
More
Less
Equal
Depends on other factors
The most probable velocity of the gas molecules is given by
√(KT/m)
√(2KT/m)
√(3KT/m)
√(5KT/m)
The gas in cooling chamber of a closed cycle gas turbine is cooled at
Constant volume
Constant temperature
Constant pressure
None of these
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 normal stress is
(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]
The strain energy stored in a body due to suddenly applied load compared to when it is applied gradually is
Same
Twice
Four times
Eight times
When a closely-coiled helical spring of mean diameter (D) is subjected to an axial load (W), the deflection of the spring (δ) is given by (where d = Diameter of spring wire, n = No. of turns of the spring, and C = Modulus of rigidity for the spring material)
WD3n/Cd⁴
2WD3n/Cd⁴
4WD3n/Cd⁴
8WD3n/Cd⁴