GATE CE 2014 Set 2

## GATE CE

The determinant of matrix $$\left[ {\matrix{
0 & 1 & 2 & 3 \cr
1 & 0 & 3 & 0 \cr
2

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The rank of the matrix $$\left[ {\matrix{
6 & 0 & 4 & 4 \cr
{ - 2} & {14} & 8 & {18} \c

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The expression $$\mathop {Lim}\limits_{a \to 0} \,{{{x^a} - 1} \over a}\,\,$$ is equal to

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A fair (unbiased) coin was tossed four times in succession and resulted in the following outcomes; (i) Head, (ii) Head,

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An observer counts $$240$$veh/h at a specific highway location. Assume that the vehicle arrival at the location is Poiss

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If $$\left\{ x \right\}$$ is a continuous, real valued random variable defined over the interval $$\left( { - \infty ,\,

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The integrating factor for the differential equation $${{dP} \over {dt}} + {k_2}\,P = {k_1}{L_0}{e^{ - {k_1}t}}\,\,$$ i

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Water is following at a steady rate through a homogeneous and saturated horizontal soil strip of $$10$$m length. The str

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$$z = {{2 - 3i} \over { - 5 + i}}$$ can be expressed as

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The survey carried out to delineate natural features, such as hills, rivers, forests and manmade
features, such as towns

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A certain soil has the following properties: Gs = 2.71, n = 40% and w = 20%. The degree of saturation of the soil (round

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The flexural tensile strength of M25 grade of concrete, in N/mm2, as per IS:456-2000 is
__________.

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The target mean strength fcm for concrete mix design obtained from the characteristic strength
(fck) and standard deviat

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The modulus of elasticity, E = 5000$$\sqrt{{\mathrm f}_\mathrm{ck}}$$ where fck is the characteristic compressive streng

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For the state of plane stress (in $$MPa$$) shown in the figure below, the maximum shear stress (in $$MPa$$) is ________

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The values of axial stress $$\left( \sigma \right)$$ in $$kN/{m^2},$$ bending moment $$(M)$$ in $$kNm,$$ and shear forc

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The first moment of area about the axis of bending for a beam cross-section is

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The beam of an overall depth $$250$$ $$mm$$ (shown below) is used in a building subjected to two different thermal envir

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Polar moment of inertia $$\left( {{{\rm I}_p}} \right),$$ in $$c{m^4},$$ of a rectangular section having width, $$b=2$$

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The axial load (in $$kN$$) in the member $$PQ$$ for the arrangement/assembly shown in the figure given below is ________

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The static indeterminacy of the two-span continuous beam with an internal hinge, shown
below, is ______________.

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The tension (in $$kN$$) in a $$10$$ $$m$$ long cable, shown in the figure, neglecting its self-weight is

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Considering the symmetry of a rigid frame as shown below, the magnitude of the bending moment (in $$kN$$-$$m$$) at $$P$$

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A prismatic beam (as shown below) has plastic moment capacity of $${{M_P}}$$, then the collapse load $$P$$ of the beam i

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A road is being designed for a speed of 110 km/hr on a horizontal curve with a super
elevation of 8%. If the coefficient

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