GATE CE 2000

## GATE CE

Consider the following two statements.
$$(I)$$ The maximum number of linearly independent column vectors of a matrix $$

View Question If $$A,B,C$$ are square matrices of the same order then $${\left( {ABC} \right)^{ - 1}}$$ is equal be

View Question The Taylor series expansion of sin $$x$$ about $$x = {\pi \over 6}$$ is given by

View Question Limit of the function
$$f\left( x \right) = {{1 - {a^4}} \over {{x^4}}}\,\,as\,\,x \to \infty $$ is given by

View Question If $$f\left( {x,y,z} \right) = $$
$${\left( {{x^2} + {y^2} + {z^2}} \right)^{{\raise0.5ex\hbox{$\scriptstyle { - 1}$}
\

View Question Consider the following integral $$\mathop {Lim}\limits_{x \to 0} \int\limits_1^a {{x^{ - 4}}} dx$$ ________.

View Question Let $$F\left( s \right) = L\left[ {f\left( t \right)} \right]$$ denote the Laplace transform of the function $$f(t)$$. W

View Question Two Samples of Water A and B have pH values of a 4.4 and 6.4 respectively. How many times more acidic sample A is than s

View Question Cavitation is caused by

View Question A soil sample has a void ratio of 0.5 and its porosity will be closed to

View Question A borrow pit soil has a dry density of 17 kN/m3. How many cubic meters of this soils will be required to construct an em

View Question If duty (D) is 1428 hectares/cumec and base period (B) is 120 days for an irrigated crop, then delta ($$\Delta$$) in met

View Question A tube well having a capacity of 4 $$m^3 /hour$$ operates for 20 hours each day during the irrigation season. How much a

View Question The working stress method of design specifies the value of modular ratio, $$m = 280/\left( {3{\sigma _{cbc}}} \right),$$

View Question The following two statements are made with reference to a simply supported under - reinforced $$RCC$$ beam:
$${\rm I}.\

View Question Assume straight line instead of parabola for stress-strain curve of concrete as given below and partial factor of safet

View Question Assume straight line instead of parabola for stress-strain curve of concrete as given below and partial factor of safet

View Question A continuous beam $$250\,mm \times 450\,mm$$ carries $$6$$ numbers of $$12$$ $$mm$$ diameter longitudinal bars as shown.

View Question A simply supported rectangular prestressed concrete beam $$200$$ $$mm$$ wide and $$400$$ $$mm$$ deep has an effective s

View Question A $$12$$ $$mm$$ bracket plate is connected to a column flange as shown in the figure below. The bracket transmits a load

View Question The stress-strain diagram for two materials A and B is shown below:
The following statements are made based on this dia

View Question Pick the incorrect statement from the following four statements:

View Question A frame $$ABCD$$ is supported by a roller at $$A$$ and is on a hinge at $$C$$ as shown below:
The reaction at the roll

View Question A two span beam with an internal hinge is shown below.
Conjugate beam corresponding to this beam is

View Question For the structure shown below, the vertical deflection at point $$A$$ is given by

View Question Four column of the same material having identical geometric properties are supported in different ways as shown below

View Question The following two statements are made with reference to the planar truss shown below :
$${\rm I}.$$ The truss is stat

View Question Identify the FALSE statement from the following, pertaining to the methods of structural analysis.

View Question A simply supported beam with an overhang is traversed by a unit concentrated moment from left to the right as shown belo

View Question For the structure shown below, the vertical deflection at point $$A$$ is given by

View Question A frame $$ABCD$$ is supported by a roller at $$A$$ and is on a hinge at $$C$$ as shown below. The reaction at the roller

View Question Identify the correct deflection diagram corresponding to the loading in the plane frame shown below :

View Question The four cross sections shown below are required to be ordered in the increasing order of their respective shape factors

View Question A cantilever beam of length $$L$$ and a cross section with shape factor $$'f'$$ supports a concentrated load $$P$$ as sh

View Question Width of carriage way for a single lane is recommended to be

View Question The ruling minimum radius of horizontal curve of a national highway in plain terrain for a ruling design speed of 100 km

View Question Design rate of super elevation for horizontal highway curve of radius 450 m for a mixed traffic condition, having a spee

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