The determinant of the following matrix $$\left[ {\matrix{ 5 & 3 & 2 \cr 1 & 2 & 6 \cr 3 &a

The eigen values of the matrix $$\left[ {\matrix{ 5 & 3 \cr 2 & 9 \cr } } \right]$$ are

The product $$\left[ P \right]\,\,{\left[ Q \right]^T}$$ of the following two matrices $$\left[ P \right]\,$$ and $$\lef

Limit of the following series as $$x$$ approaches $${\pi \over 2}$$ is $$f\left( x \right) = x - {{{x^3}} \over {3!}}

The solution for the following differential equation with boundary conditions $$y(0)=2$$ and $$\,\,{y^1}\left( 1 \righ

The number of boundary conditions required to solve the differential equation $$\,\,{{{\partial ^2}\phi } \over {\parti

The inverse Laplace transform of $$1/\left( {{s^2} + 2s} \right)$$ is

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

Identify the FALSE statement from the following, pertaining to the design of concrete structures.

Consider the following two statements related to reinforced concrete design, and identify whether they are TRUE/FALSE:

The effective spans for a simple one-way slab system, with an overhang are indicated in the figure below. The specified

Identify the most efficient butt joint (with double cover plates) for a plate in tension from the patterns (plan views)

Consider the following two statements related to structural steel design, and identify whether they are True or FALSE. $

The relevant cross-sectional details of a compound beam comprising a symmetric $${\rm I}$$-section and a channel section

The bending moment (in $$kN$$-$$m$$ units) at the mid-span location $$X$$ in the beam with overhangs shown below is equ

The degree of static indeterminacy, $${N_s}$$ and the degree of kinematic indeterminacy, $${N_k}$$ for the plane frame s

Identify, from the following, the correct value of the bending moment $${M_A}\,\,$$ (in $$kNm$$ units) at the fixed end

Identify the FALSE statement from the following, pertaining to the effects due to a temperature rise $$\Delta T$$ of the

The frame below shows three beam elements $$OA, OB$$ and $$OC$$, with identical length $$L$$ and flexural rigidity $$EI$

The two-span continuous beam shown below is subject to a clockwise rotational slip $${\theta _A} = 0.004$$ radian at the

The design value of lateral friction coefficient on highway is