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## GATE CE 2014 Set 2

Exam Held on Thu Jan 01 1970 00:00:00 GMT+0000 (Coordinated Universal Time)
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## GATE CE

The determinant of matrix $$\left[ {\matrix{ 0 &amp; 1 &amp; 2 &amp; 3 \cr ... The rank of the matrix$$\left[ {\matrix{ 6 &amp; 0 &amp; 4 &amp; 4 \cr ...
The expression $$\mathop {Lim}\limits_{a \to 0} \,{{{x^a} - 1} \over a}\,\,$$ is...
An observer counts $$240$$veh/h at a specific highway location. Assume that the ...
A fair (unbiased) coin was tossed four times in succession and resulted in the f...
If $$\left\{ x \right\}$$ is a continuous, real valued random variable defined o...
The integrating factor for the differential equation $${{dP} \over {dt}} + {k_2}... Water is following at a steady rate through a homogeneous and saturated horizont...$$z = {{2 - 3i} \over { - 5 + i}}$$can be expressed as The survey carried out to delineate natural features, such as hills, rivers, for... A certain soil has the following properties: G<sub>s</sub> = 2.71, n = 40% and w... The modulus of elasticity, E = 5000$$\sqrt{{\mathrm f}_\mathrm{ck}}$$where f<su... The flexural tensile strength of M25 grade of concrete, in N/mm<sup>2</sup>, as ... The target mean strength f<sub>cm</sub> for concrete mix design obtained from th... For the state of plane stress (in$$MPa$$) shown in the figure below, the maximu... The values of axial stress$$\left( \sigma \right)$$in$$kN/{m^2},$$bending m... The beam of an overall depth$$250mm$$(shown below) is used in a building ... Polar moment of inertia$$\left( {{{\rm I}_p}} \right),$$in$$c{m^4},$$of a r... The first moment of area about the axis of bending for a beam cross-section is The axial load (in$$kN$$) in the member$$PQ$$for the arrangement/assembly sho... The static indeterminacy of the two-span continuous beam with an internal hinge,... The tension (in$$kN$$) in a$$10m$$long cable, shown in the figure, negle... Considering the symmetry of a rigid frame as shown below, the magnitude of the b... A prismatic beam (as shown below) has plastic moment capacity of$${{M_P}}, th...
A road is being designed for a speed of 110 km/hr on a horizontal curve with a s...

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