GATE CE 2001
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## GATE CE

The eigen values of the matrix $$\left[ {\matrix{ 5 &amp; 3 \cr 2 &amp; 9 \cr } } \right]$$ are
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The product $$\left[ P \right]\,\,{\left[ Q \right]^T}$$ of the following two matrices $$\left[ P \right]\,$$ and $$\lef View Question The determinant of the following matrix$$\left[ {\matrix{ 5 &amp; 3 &amp; 2 \cr 1 &amp; 2 &amp; 6 \cr 3 &a
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Limit of the following series as $$x$$ approaches $${\pi \over 2}$$ is $$f\left( x \right) = x - {{{x^3}} \over {3!}} View Question The solution for the following differential equation with boundary conditions$$y(0)=2$$and$$\,\,{y^1}\left( 1 \righ
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The number of boundary conditions required to solve the differential equation $$\,\,{{{\partial ^2}\phi } \over {\parti View Question The inverse Laplace transform of$$1/\left( {{s^2} + 2s} \right)$$is View Question A 15 cm length of steel rod with relative density of 7.4 is submerged in a two layer fluid. The bottom layer is mercury View Question Identify the FALSE statement from the following, pertaining to the design of concrete structures. View Question Consider the following two statements related to reinforced concrete design, and identify whether they are TRUE/FALSE: View Question The effective spans for a simple one-way slab system, with an overhang are indicated in the figure below. The specified View Question Identify the most efficient butt joint (with double cover plates) for a plate in tension from the patterns (plan views) View Question Consider the following two statements related to structural steel design, and identify whether they are True or FALSE.  View Question The relevant cross-sectional details of a compound beam comprising a symmetric$${\rm I}$$-section and a channel section View Question The bending moment (in$$kN$$-$$m$$units) at the mid-span location$$X$$in the beam with overhangs shown below is equ View Question The degree of static indeterminacy,$${N_s}$$and the degree of kinematic indeterminacy,$${N_k}$$for the plane frame s View Question Identify, from the following, the correct value of the bending moment$${M_A}\,\,$$(in$$kNm$$units) at the fixed end View Question Identify the FALSE statement from the following, pertaining to the effects due to a temperature rise$$\Delta T$$of the View Question The frame below shows three beam elements$$OA, OB$$and$$OC$$, with identical length$$L$$and flexural rigidity$$EI\$
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The two-span continuous beam shown below is subject to a clockwise rotational slip $${\theta _A} = 0.004$$ radian at the
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The design value of lateral friction coefficient on highway is
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