GATE 1999 Civil Engineering

The function $$f\left( x \right) = {e^x}$$ is _________.

The equation $$\left[ {\matrix{ 2 & 1 & 1 \cr 1 & 1 & { - 1} \cr y & {{x^2}} & x \cr } } \right] = 0$$ represents a parabola passing through the points.

If $$A$$ is any $$nxn$$ matrix and $$k$$ is a scalar then $$\left| {kA} \right| = \alpha \left| A \right|$$ where $$\alpha $$ is

Principle involved in the relationship between submerged unit weight and saturated weight of a soil is based on

Two wheels, placed at a distance of $$2.5$$ $$m$$ apart, with a load of $$200\,\,kN$$ on each of them are moving on a simply supported girder ($${\rm I}$$-section) of span $$6.0$$...

In section, shear centre is a point through which, if the resultant load passes, the section will not be subjected to any

The total length (in km) of the existing National Highways in India is in the range of

The reaction time for calculating stopping sight distance may be assumed as

Maximum strain at the level of compression steel for a rectangular section having effective cover to compression steel as $$d'$$ and neutral axis depth from compression face $${X_u...

Limit of the function, $$\mathop {Lim}\limits_{n \to \infty } {n \over {\sqrt {{n^2} + n} }}$$ is _______.

A beam with a rectangular cross section of size $$250$$ $$mm$$ wide and $$350$$ $$mm$$ deep is prestressed by a force of $$400$$ $$kN$$ using $$8$$ numbers $$7$$ $$mm$$ $$\phi $$ s...

The minimum area of tension reinforcement in a beam shall be greater than

Two steel plates each of width $$150$$ $$mm$$ and thickness $$10$$ $$mm$$ are connected with three $$20$$ $$mm$$ diameter rivets is placed in zig-zag pattern. The pitch of the rive...

The Laplace transform of the function $$\eqalign{ & f\left( t \right) = k,\,0 < t < c \cr & \,\,\,\,\,\,\,\,\, = 0,\,c < t < \infty ,\,\, \cr} $$ is

For the function $$\phi = a{x^2}y - {y^3}$$ to represent the velocity potential of an ideal fluid, $${\nabla ^2}\,\,\phi $$ should be equal to zero. In that case, the value of $$'a...

Number of inflection points for the curve $$\,\,\,y = x + 2{x^4}\,\,\,\,$$ is_______.

The number of terms in the expansion of general determinant of order $$n$$ is

If $$c$$ is a constant, then the solution of $${{dy} \over {dx}} = 1 + {y^2}$$ is

Temporary hardness in water is caused by the presence of

In reinforced concrete, pedestal is defined as compression member, whose effective length does not exceed its dimension by

The problem of lateral buckling can arise only in those steel beams which have

A steel beam supporting loads from the floors slab as well as from wall is termed as

For a fixed beam with span $$L,$$ having plastic moment capacity of $${{M_p}}$$, the ultimate central concentrated load will be

In a section, shear center is a point through which, if the resultant load passes, the section will not be subjected to any