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