# Civil Engineering - GATE 2009 Paper Solution

A square matrix B is skew-symmetric if

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For a scalar function f(x,y,z) = x2 +3y2 +2z2, the gradient at the point P(1,2,-1) is

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The analytic function $f\left(z\right)=\frac{z-1}{{z}^{2}+1}$ has singularities at

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The analytic function $f\left(z\right)=\frac{z-1}{{z}^{2}+1}$ has singularities at

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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

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The modulus of rupture of concrete in terms of its characteristic cube compressive strength (fck) in MPa according to IS 456:2000 is

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In the theory of plastic bending of beams, the ratio of plastic moment to yield moment is called

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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

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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

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The square root of the ratio of moment of inertia of the cross section to its cross sectional area is called

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Deposit with flocculated structure is formed when

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Dilatancy correction is required when a strata is

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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

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Direct step method of computation for gradually varied flow is

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The relationship among specific yield (Sy), specific retention (Sr) and porosity (η) of an aquifer is

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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

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The reference pressure used in the determination of sound pressure level is

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Particulate matter (fly ash) carried in effluent gases from the furnaces burning fossil fuels are better removed by

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The value of lateral friction or side friction used in the design of horizontal curve as per India Roads Congress guidelines is

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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