The bending moment of a cantilever beam of length l and carrying a uniformly distributed load of w per unit length is __________ at the fixed end.
wl/4
wl/2
wl
wl²/2
Correct Answer :
D. wl²/2
Related Questions
The variables which control the physical properties of a perfect gas are
Pressure exerted by the gas
Volume occupied by the gas
Temperature of the gas
All of these
An adiabatic process is one in which
No heat enters or leaves the gas
The temperature of the gas changes
The change in internal energy is equal to the mechanical workdone
All of the above
Workdone during adiabatic expansion is given by (where p1 v1, T1 = Pressure, volume and temperature for the initial condition of gas, p2, v2, T2 = Corresponding values for the final condition of gas, R = Gas constant, and γ = Ratio of specific heats)
(p1 v1 - p2 v2)/(γ - 1)
[m R (T1 - T2)] /(γ - 1)
[m R T1/(γ - 1)][1 - (p2 v2 /p1 v1)]
All of these
If Kh is the torque resisting capacity of a hollow shaft and Ks is that of a solid shaft, of the same material, length and weight. Then,
Kh > Ks
Kh < Ks
Kh = Ks
None of these
Modulus of rigidity is defined as the ratio of
Longitudinal stress to longitudinal strain
Volumetric stress to volumetric strain
Lateral stress to Lateral strain
Shear stress to shear strain
A concentrated load is one which
Acts at a point on a beam
Spreads non-uniformly over the whole length of a beam
Spreads uniformly over the whole length of a beam
Varies uniformly over the whole length of a beam
Second law of thermodynamics defines
Heat
Work
Internal energy
Entropy
When a system changes its state from one equilibrium state to another equilibrium state, then the path of successive states through which the system has passed, is known as
Thermodynamic law
Thermodynamic process
Thermodynamic cycle
None of these
Which of the following has the minimum atomic mass?
Oxygen
Sulphur
Nitrogen
Carbon
The amount of heat generated per kg of fuel is known as
Calorific value
Heat energy
Lower calorific value
Higher calorific value
The principal constituents of a fuel are
Carbon and hydrogen
Oxygen and hydrogen
Sulphur and oxygen
Sulphur and hydrogen
The materials having same elastic properties in all directions are called
Ideal materials
Uniform materials
Isotropic materials
Piratical materials
The tensile strength of the welded joint for double fillet is (where s = Leg or size of the weld, l = Length of weld, and σt = Allowable tensile stress for weld metal)
0.5 s.l.σt
s.l.σt
√2 s.l.σt
2.s.l.σt
The compression ratio for petrol engines is
3 to 6
5 to 8
10 to 20
15 to 30
The mass of excess air supplied is equal to
(23/100) × Mass of excess carbon
(23/100) × Mass of excess oxygen
(100/23) × Mass of excess carbon
(100/23) × Mass of excess oxygen
When the expansion or compression takes place according to the law pvn = C, the process is known as
Isothermal process
Adiabatic process
Hyperbolic process
Polytropic process
Relation between cp and cv is given by (where cp = Specific heat at constant pressure, cv = Specific heat at constant volume, γ = cp/cv, known as adiabatic index, and R = Gas constant)
cv/ cp =R
cp - cv = R
cv = R/ γ-1
Both (B) and (C)
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
Strain is equal to (where l = Original length, and δl = Change in length)
l/δl
δl/l
l.δl
l + δl
The efficiency of Diesel cycle depends upon
Temperature limits
Pressure ratio
Compression ratio
Cut-off ratio and compression ratio
When a thin cylindrical shell is subjected to an internal pressure, the volumetric strain is (where ε₁ = Hoop strain, and ε₂ = Longitudinal strain)
2ε₁ - ε₂
2ε₁ + ε₂
2ε₂ - ε₁
2ε₂ + ε₁
The distance between the centres of the rivets in adjacent rows of zigzag riveted joint is known as
Pitch
Back pitch
Diagonal pitch
Diametric pitch
When a body is subjected to a direct tensile stress (σx) in one plane accompanied by a simple shear stress (τxy), the minimum normal 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)
The pull required to tear off the plate per pitch length is (where p = Pitch of rivets, t = Thickness of plates, and σt, τ and σc = Permissible tensile, shearing and crushing stresses respectively)
(p - 2d) t × σc
(p - d) t × τ
(p - d) t × σt
(2p - d) t × σt
Resilience is the
Energy stored in a body when strained within elastic limits
Energy stored in a body when strained up to the breaking of the specimen maximum strain
Energy which can be stored in a body
None of the above
The hyperbolic process is governed by
Boyle's law
Charles' law
Gay-Lussac law
Avogadro's law
Which of the following is the correct statement?
For a given compression ratio, both Otto and Diesel cycles have the same efficiency.
For a given compression ratio, Otto cycle is more efficient than Diesel cycle.
For a given compression ratio, Diesel cycle is more efficient than Otto cycle.
The efficiency of Otto or Diesel cycle has nothing to do with compression ratio.
When the gas is heated at constant pressure, the heat supplied
Increases the internal energy of the gas
Increases the temperature of the gas
Does some external work during expansion
Both (B) and (C)
Which of the following statement is wrong?
The deformation of the bar per unit length in the direction of the force is called linear strain.
The Poisson's ratio is the ratio of lateral strain to the linear strain.
The ratio of change in volume to the original volume is called volumetric strain.
The bulk modulus is the ratio of linear stress to the linear strain.
Those substances which have so far not been resolved by any means into other substances of simpler form are called
Elements
Compounds
Atoms
Molecules