A square matrix B is skew-symmetric if
For a scalar function f(x,y,z) = x^{2} +3y^{2} +2z^{2}, the gradient at the point P(1,2,-1) is
The analytic function $f\left(z\right)=\frac{z-1}{{z}^{2}+1}$ has singularities at
A thin walled cylindrical pressure vessel having a radius of 0.5 m and wall thickness of 25 mm is subjected to an internal pressure of 700 kPa. The hoop stress developed is
The modulus of rupture of concrete in terms of its characteristic cube compressive strength (f_{ck}) in MPa according to IS 456:2000 is
In the theory of plastic bending of beams, the ratio of plastic moment to yield moment is called
For limit state of collapse, the partial safety factors recommended by IS 456:2000 for estimating the design strength of concrete and reinforcing steel are respectively
The point within the cross sectional plane of a beam through which the resultant of the external loading on the beam has to pass through to ensure pure bending without twisting of the cross-section of the beam is called
The square root of the ratio of moment of inertia of the cross section to its cross sectional area is called
Deposit with flocculated structure is formed when
Dilatancy correction is required when a strata is
A precast concrete pile is driven with a 50 kN hammer falling through a height of 1.0 m with an efficiency of 0.6. The set value observed is 4 mm per blow and the combined temporary compression of the pile, cushion and the ground is 6 mm. As per Modified Hiley Formula, the ultimate resistance of the pile is
Direct step method of computation for gradually varied flow is
The relationship among specific yield (S_{y}), specific retention (S_{r}) and porosity (η) of an aquifer is
The depth of flow in an alluvial channel is 1.5 m. If critical velocity ratio is 1.1 and Manning’s n is 0.018, the critical velocity of the channel as per Kennedy’s method is
The reference pressure used in the determination of sound pressure level is
Particulate matter (fly ash) carried in effluent gases from the furnaces burning fossil fuels are better removed by
The value of lateral friction or side friction used in the design of horizontal curve as per India Roads Congress guidelines is
During a CBR test, the load sustained by a remolded soil specimen at 5.0mm penetration is 50kg. The CBR value of the soil will be