GATE CE 2008
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GATE CE

The product of matrices $${\left( {PQ} \right)^{ - 1}}P$$ is
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The eigenvalues of the matrix $$\left[ P \right] = \left[ {\matrix{ 4 & 5 \cr 2 & { - 5} \cr } } \ri
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The following system of equations $$$x+y+z=3,$$$ $$$x+2y+3z=4,$$$ $$$x+4y+kz=6$$$ will not have a unique solution for $
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Three values of $$x$$ and $$y$$ are to be fitted in a straight line in the form $$y=a+bx$$ by the method of least square
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If the interval of integration is divided into two equal intervals of width $$1.0,$$ the value of the definite integral
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The Newton-Raphson iteration $${x_{n + 1}} = {1 \over 2}\left( {{x_n} + {R \over {{x_n}}}} \right)$$ can be used to comp
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A wastewater sample contains $$10^{-5.6}$$ mol/l of OH- ions at $$25^o$$ C. The pH of this sample is
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The type of surveying in which the curvature of the earth is taken into account is called
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An outlet irrigates an area of 20 ha. The discharge (lit/sec) required at this outlet to meet the evapotranspiration req
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The base width of an elementary profile of gravity dam of height H is b. The specific gravity of the material of the dam
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A reinforced concrete structure has to be constructed along a sea coast. The minimum grade of concrete to be used as per
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Un-factored maximum bending moments at a section of a reinforced concrete beam resulting from a frame analysis are 50, 8
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A reinforced concrete beam of rectangular cross section of breadth $$230$$ $$mm$$ and effective depth $$400$$ $$mm$$ is
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A reinforced concrete beam of rectangular cross section of breadth $$230$$ $$mm$$ and effective depth $$400$$ $$mm$$ is
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A reinforced concrete column contains longitudinal steel equal to $$1$$ percent of net cross-sectional area of the colum
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In the design of a reinforced concrete bean the requirement for bond is not getting satisfied. The economical option to
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A pre-tensioned concrete member of section $$200\,\,mm \times 250\,\,mm$$ contains tendons of area $$500\,\,m{m^2}$$ at
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Rivets and bolts subjected to both shear stress $$\left( {{\tau _{vf}},\,cal} \right)$$ and axial tensile stress $$\left
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The maximum shear stress in a solid shaft of circular cross-section having diameter subjected to a torque $$T$$ is $$\ta
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The stepped cantilever is subjected to moments, $$M$$ as shown in the figure below. The vertical deflection at the free
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Beam $$GHI$$ is supported by these pontoons as shown in the figure below. The horizontal cross sectional area of each po
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Beam $$GHI$$ is supported by these pontoons as shown in the figure below. The horizontal cross sectional area of each po
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A thin walled cylindrical pressure vessel having a radius of $$0.5$$ $$m$$ and wall thickness of $$25$$ $$mm$$ is subjec
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A mild steel specimen is under uniaxial tensile stress. Young's modulus and yield stress for mild steel are $$2 \times {
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Cross-section of a column consisting of two steel strips, each of thickness $$t$$ and width $$b$$ is shown in the figure
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A rigid bar $$GH$$ of length $$L$$ is supported by a hinge and a spring of stiffness $$K$$ as shown in the figure below.
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The degree of static indeterminacy of the rigid frame having two internal hinges as shown in the figure below, is
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The span$$(s)$$ to be loaded uniformly for maximum positive (upward) reaction at support $$P,$$ as shown in the figure b
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The members $$EJ$$ and $$IJ$$ of a steel truss shown in the figure below are subjected to a temperature rise of $${30^ \
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The shape of the cross-section, which has the largest shape factor, is
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A continuous beam is loaded as shown in the figure below. Assuming a plastic moment capacity equal to $${{M_P}}$$, the m
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