GATE CE 2003
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GATE CE

Given matrix $$\left[ A \right] = \left[ {\matrix{ 4 & 2 & 1 & 3 \cr 6 & 3 & 4 & 7 \cr
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The vector field $$\,F = x\widehat i - y\widehat j\,\,$$ (where $$\widehat i$$ and $$\widehat j$$ are unit vectors) is
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A box contains $$10$$ screws, $$3$$ of which are defective. Two screws are drawn at random with replacement. The probabi
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If $$L$$ denotes the laplace transform of a function, $$L\left\{ {\sin \,\,at} \right\}$$ will be equal to
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Maximum strains in an extreme fibre in concrete and in the tension reinforcement (Fe-$$415$$ grade and $${E_s} = 200\,\,
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A reinforced concrete beam, size $$200$$ $$mm$$ wide and $$300$$ $$mm$$ deep overall is simply supported over a span of
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A reinforced concrete beam, size $$200$$ $$mm$$ wide and $$300$$ $$mm$$ deep overall is simply supported over a span of
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The effective length of a column in a reinforced concrete building frame, as per $$IS:$$ $$456$$-$$2000,$$ is independe
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A concrete column carries an axial load of $$450$$ $$kN$$ and a bending moment of $$60$$ $$kN$$-$$m$$ at its base. An is
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A truss tie consisting of $$2$$ $$ISA$$ $$75 \times 75 \times 8\,\,mm$$ carries a pull of $$150$$ $$kN.$$ At ends the tw
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A truss tie consisting of $$2$$ $$ISA$$ $$75 \times 75 \times 8\,\,mm$$ carries a pull of $$150$$ $$kN.$$ At ends the tw
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In the design of lacing system for a, built-up steel column, the maximum allowable slenderness ratio of lacing bar is
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Group-$${\rm I}$$ contains some elements in design of a simply supported plate girder and Group-$${\rm II}$$ gives some
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A curved number with a straight vertical leg is carrying a vertical load at $$Z,$$ as shown in the figure. The stress r
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List - $${\rm I}$$ shows different loads acting on a beam and list - $${\rm II}$$ shows different bending moment distrib
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A simply supported beam of uniform rectangular cross-section of width $$b$$ and depth $$h$$ is subjected to linear tempe
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A $$''H''$$ Shaped frame of uniform flexural rigidity $$EI$$ is loaded as shown in the figure. The relative outward disp
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For linear elastic systems, the type of displacement function for the strain energy is
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A long structural column (length $$-L$$) with both ends hinged is acted upon by an axial compressive load $$P.$$ The dif
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A stepped steel shaft shown below is subjected to $$10$$ $$N$$-$$m$$ torque. If the modulus of rigidity is $$80$$ $$GPa,
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Muller Breslau Principle in structural analysis is used for
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A beams $$PQRS$$ is $$18$$ $$m$$ long and is simply supported at points $$Q$$ and $$R$$ $$10$$ $$m$$ apart. overhangs $$
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A beams $$PQRS$$ is $$18$$ $$m$$ long and is simply supported at points $$Q$$ and $$R$$ $$10$$ $$m$$ apart. overhangs $$
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A beams $$PQRS$$ is $$18$$ $$m$$ long and is simply supported at points $$Q$$ and $$R$$ $$10$$ $$m$$ apart. overhangs $$
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In a redundant joint model, three bar members are pin connected at $$Q$$ as shown in the figure. Under some load placed
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The stiffness $$K$$ of a beam deflecting in a symmetric mode, as shown in the figure, is _______
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A steel portal frame has dimensions, plastic moment capacitance and applied loads as shown in the figure. The vertical l
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A truss, as shown in the figure, is carrying $$180$$ $$kN$$ load at node $${L_2}.$$ The force in the diagonal member $${
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