GATE 2001 Civil Engineering
12 questions across 1 session
The solution for the following differential equation with boundary conditions $$y(0)=2$$ and $$\,\,{y^1}\left( 1 \right) = - 3$$ is where $${{{d^2}y} \over {d{x^2}}} = 3x - 2$$
Identify the FALSE statement from the following, pertaining to the design of concrete structures.
The design value of lateral friction coefficient on highway is
Consider the following two statements related to reinforced concrete design, and identify whether they are TRUE/FALSE: $${\rm I}.$$ Curtailment of bars in the flexural tension zone...
The product $$\left[ P \right]\,\,{\left[ Q \right]^T}$$ of the following two matrices $$\left[ P \right]\,$$ and $$\left[ Q \right]\,$$ where $$\left[ P \right]\,\, = \left[ {\mat...
The inverse Laplace transform of $$1/\left( {{s^2} + 2s} \right)$$ is
The eigen values of the matrix $$\left[ {\matrix{ 5 & 3 \cr 2 & 9 \cr } } \right]$$ are
The number of boundary conditions required to solve the differential equation $$\,\,{{{\partial ^2}\phi } \over {\partial {x^2}}} + {{{\partial ^2}\phi } \over {\partial {y^2}}} =...
The determinant of the following matrix $$\left[ {\matrix{ 5 & 3 & 2 \cr 1 & 2 & 6 \cr 3 & 5 & {10} \cr } } \right]$$
Consider the following two statements related to structural steel design, and identify whether they are True or FALSE. $${\rm I}.\,\,\,\,\,\,$$ The Euler buckling load of a slender...
Limit of the following series as $$x$$ approaches $${\pi \over 2}$$ is $$f\left( x \right) = x - {{{x^3}} \over {3!}} + {{{x^5}} \over {5!}} - {{{x^7}} \over {7!}} + - - - - - $$
A 15 cm length of steel rod with relative density of 7.4 is submerged in a two layer fluid. The bottom layer is mercury and the top layer is water. The height of top surface of the...