GATE CE 2004

## GATE CE

Real matrices $$\,\,{\left[ A \right]_{3x1,}}$$ $$\,\,{\left[ B \right]_{3x3,}}$$ $$\,\,{\left[ C \right]_{3x5,}}$$ $$\

View Question The eigen values of the matrix $$\left[ {\matrix{
4 & { - 2} \cr
{ - 2} & 1 \cr
} } \right]$$ 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}}

View Question The function $$f\left( x \right) = 2{x^3} - 3{x^2} - 36x + 2\,\,\,$$ has its maxima at

View Question A hydraulic structure has four gates which operate independently. The probability of failure of each gate is $$0.2.$$ Gi

View Question Biotransformation of an organic compound having concentration $$(x)$$ can be modeled using an ordinary differential equ

View Question A delayed unit step function is defined as
$$$u\left( {t - a} \right) = \left\{ {\matrix{
{0,} & {t < 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

View Question At the limit state of collapse, an $$RC$$ beam is subjected to flexural moment $$200$$ $$kN$$-$$m$$, shear force $$20$$

View Question At the limit state of collapse, an $$RC$$ beam is subjected to flexural moment $$200$$ $$kN$$-$$m$$, shear force $$20$$

View Question An $$RC$$ short column with $$300\,\,mm \times 300\,mm$$ square cross-section is made of $$M20$$ grade concrete and has

View Question An $$RC$$ square footing of side length $$2$$ $$m$$ and uniform effective depth $$200$$ $$mm$$ is provided for a $$300$$

View Question 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 $$ISA$$ $$100\,\,mm \times 100\,\,mm$$ of thickness $$10$$ $$mm$$ are placed back-to-back and connected

View Question A moment $$M$$ of magnitude $$50$$ $$kN$$-$$m$$ 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 $$ISA$$ $$150mm \times 150mm$$ of thickness $$100$$ $$mm$$ 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 $$20$$ $$MPa$$ 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

View Question A three-span continuous beam has an internal hinge at $$B.$$ Section $$B$$ is at the mid-span of $$A.C.$$ Section $$E$$

View Question A three-span continuous beam has an internal hinge at $$B.$$ Section $$B$$ is at the mid-span of $$A.C.$$ Section $$E$$

View Question A homogeneous, simply supported prismatic beam of width $$B,$$ depth $$D$$ and span $$L$$ is subjected to a concentrated

View Question 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

View Question 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 $$20$$ $$m$$ and a central rise of $$4$$ $$m.$$ The arch has hinges

View Question The unit load method used in Structural analysis is

View Question For a linear elastic structural system, minimization of potential energy yields

View Question The plane frame below is analyzed by neglecting axial deformations. Following statements are made with respect to the an

View Question For the plane truss shown in the figure, the number of zero force members for the given loading is

View Question For linear elastic frame, if stiffness matrix is doubled with respect to the existing stiffness matrix, the deflection o

View Question The star and grid pattern of road networks are adopted in

View Question