GATE CE 2004
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## GATE CE

Real matrices $$\,\,{\left[ A \right]_{3x1,}}$$ $$\,\,{\left[ B \right]_{3x3,}}$$ $$\,\,{\left[ C \right]_{3x5,}}$$ $$\ View Question The eigen values of the matrix$$\left[ {\matrix{ 4 &amp; { - 2} \cr { - 2} &amp; 1 \cr } } \right]$$are View Question The value of the function,$$f\left( x \right) = \mathop {Lim}\limits_{x \to 0} {{{x^3} + {x^2}} \over {2{x^3} - 7{x^2}}
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The function $$f\left( x \right) = 2{x^3} - 3{x^2} - 36x + 2\,\,\,$$ has its maxima at
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A hydraulic structure has four gates which operate independently. The probability of failure of each gate is $$0.2.$$ Gi
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Biotransformation of an organic compound having concentration $$(x)$$ can be modeled using an ordinary differential equ
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A delayed unit step function is defined as $$u\left( {t - a} \right) = \left\{ {\matrix{ {0,} &amp; {t &lt; a} \cr View Question The present population of a community is 28000 with an average water consumption of 4200$$m^3/d$$. The existing water t View Question Most of the turbidity meters work on the scattering principle. The turbidity value obtained is expressed in View Question The ratio of saturated unit weight to dry unit weight of a soil is 1.25. If the specific gravity of solids (Gs) is 2.65, View Question A sprinkler irrigation system is suitable when View Question In the limit state design method of concrete structures, the recommended partial material safety factor$$\left( {{\gamm
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At the limit state of collapse, an $$RC$$ beam is subjected to flexural moment $$200$$ $$kN$$-$$m$$, shear force $$20$$
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At the limit state of collapse, an $$RC$$ beam is subjected to flexural moment $$200$$ $$kN$$-$$m$$, shear force $$20$$
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An $$RC$$ short column with $$300\,\,mm \times 300\,mm$$ square cross-section is made of $$M20$$ grade concrete and has
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An $$RC$$ square footing of side length $$2$$ $$m$$ and uniform effective depth $$200$$ $$mm$$ is provided for a $$300$$
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A simply supported prestressed concrete beam is $$6$$ $$m$$ long and $$300$$ $$mm$$ wide. Its gross depth is $$600$$ $$View Question Rivet value is defined as View Question Two equal angles$$ISA100\,\,mm \times 100\,\,mm$$of thickness$$10mm$$are placed back-to-back and connected View Question A moment$$M$$of magnitude$$50kN$$-$$m$$is transmitted to a column flange through a bracket by using four$$20$$View Question A strut in a steel truss is composed of two equal angles$$ISA150mm \times 150mm$$of thickness$$100mm$$conn View Question In a plate girder, the web plate is connected to the flange plates by fillet welding. The size of the fillet welds is de View Question If principle stresses in two-dimensional case are$$\left( - \right)\,\,10\,MPa$$and$$20MPa$$respectively, t View Question In a two dimensional analysis, the state of stress at a point is shown below. If$$\sigma = 120\,\,MPa$$and$${\tau
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A three-span continuous beam has an internal hinge at $$B.$$ Section $$B$$ is at the mid-span of $$A.C.$$ Section $$E$$
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A three-span continuous beam has an internal hinge at $$B.$$ Section $$B$$ is at the mid-span of $$A.C.$$ Section $$E$$
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A homogeneous, simply supported prismatic beam of width $$B,$$ depth $$D$$ and span $$L$$ is subjected to a concentrated
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A circular solid shaft of span $$L=5m$$ is fixed at one end and free at the other end. A twisting moment $$T=100$$ $$kN View Question$${U_1}$$and$${U_2}$$are the strain energies stored in a prismatic bar due to axial tensile forces$${P_1}$$and$${P
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For the linear elastic beam shown in the figure, the flexural rigidity, $$EI$$ is $$781250\,\,kN$$ - $${m^2}.$$ When $$w View Question For the plane frame with an overhang as shown below, assuming negligible axial deformation, the degree of static indeter View Question A homogeneous, simply supported prismatic beam of width$$B,$$depth$$D$$and span$$L$$is subjected to a concentrated View Question A three hinged parabolic arch$$ABC$$has a span of$$20m$$and a central rise of$$4m. The arch has hinges
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The unit load method used in Structural analysis is
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For a linear elastic structural system, minimization of potential energy yields
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The plane frame below is analyzed by neglecting axial deformations. Following statements are made with respect to the an
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For the plane truss shown in the figure, the number of zero force members for the given loading is
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For linear elastic frame, if stiffness matrix is doubled with respect to the existing stiffness matrix, the deflection o
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