GATE 2016 Civil Engineering

The type of partial differential equation $${{{\partial ^2}p} \over {\partial {x^2}}} + {{{\partial ^2}p} \over {\partial {y^2}}} + 3{{{\partial ^2}p} \over {\partial x\partial y}}...

If the entries in each column of a square matrix $$M$$ add up to $$1$$, then an eigenvalue of $$M$$ is

The porosity (n) and the degree of saturation (S) of a soil sample are 0.7 and 40%, respectively. In a 100 $$m^3$$ volume of the soil, the volume (expressed in $$m^3$$) of air is _...

A reinforced concrete $$(RC)$$ beam with width of $$250$$ $$mm$$ and effective depth of $$400$$ $$mm$$ is reinforced with $$Fe415$$ steel. As per the provisions of $$IS$$ $$456$$ -...

The semi-compact section of a laterally unsupported steel beam has an elastic section modulus, plastic section modulus and design bending compressive stress of $$500\,\,c{m^3},\,\,...

The solution of the partial differential equation $${{\partial u} \over {\partial t}} = \alpha {{{\partial ^2}u} \over {\partial {x^2}}}$$ is of the form

A propped cantilever of span $$L$$ carries a vertical concentrated load at the mid-span. If the plastic moment capacity of the section is $${M_P}$$, the magnitude of the collapse l...

Newton-Raphson method is to be used to find root of equation $$\,3x - {e^x} + \sin \,x = 0.\,\,$$ If the initial trial value for the root is taken as $$0.333,$$ the next approximat...

Effluent from an industry 'A' has a pH of 4.2. The effluent from another industry 'B' has double the hydroxyl (OH - ) ion concentration than the effluent from industry 'A'. pH of e...

Type $${\rm I}{\rm I}$$ error in hypothesis testing is

In shear design of an $$RC$$ beam, other than the allowable shear strength of concrete $$\left( {{\tau _c}} \right),$$there is also an additional check suggested in $$IS$$ $$456$$-...

For $$M25$$ concrete with creep coefficient of $$1.5,$$ the long-term static modulus of elasticity (expressed in $$MPa$$) as per provisions of $$IS:$$ $$456-2000$$ is _____________...

Bull's trench kiln is used in the manufacturing of

The compound which is largely responsible for initial setting and early strength gain of Ordinary Portland Cement is

A motorist traveling at 100 km/h on a highway needs to take the next exit, which has a speed limit of 50 km/h. The section of the roadway before the ramp entry has a downgrade of 3...

If $$f(x)$$ and $$g(x)$$ are two probability density functions, $$$f\left( x \right) = \left\{ {\matrix{ {{x \over a} + 1} & : & { - a \le x < 0} \cr { - {x \over a} + 1} & : & {0...

Consider the following linear system $$$x+2y-3z=a$$$ $$$2x+3y+3z=b$$$ $$$5x+9y-6z=c$$$ This system is consistent if $$a,b$$ and $$c$$ satisfy the equation

$$X$$ and $$Y$$ are two random independent events. It is known that $$P(X)=0.40$$ and $$\,P\left( {X \cup {Y^C}} \right) = 0.7.$$ Which one of the following is the value of $$P\lef...

As per $$IS$$ $$456$$ - $$2000$$ for the design of reinforced concrete beam, the maximum allowable shear stress $$\left( {{\tau _{c\,\,\max }}} \right)$$ depends on the

The hardness of a ground water sample was found to be 420 mg/L as $$CaCO_3$$. A softener containing ion exchange resins was installed to reduce the total hardness to 75 mg/L as $$C...

The spot speeds (expressed in km/hr) observed at a road section are $$66, 62, 45, 79, 32, 51, 56, 60, 53$$ and $$49.$$ The median speed (expressed in km/hr) is __________.

The quadratic approximation of $$f\left( x \right) = {x^3} - 3{x^2} - 5\,\,$$ at the point $$x=0$$ is

As per Indian standards for bricks, minimum acceptable compressive strength of any class of burnt clay bricks in dry state is