Recent questions tagged gate2015-ce-1

Consider the following complex function:$$f(z) = \frac{9}{(z-1)(z+2)^2}$$Which of the following is one of the residues of the above function?$-1$$9/16$$2$$9$

The directional derivative of the field $u(x,y,z) = x^2-3yz$ in the direction of the vector $(\hat{i}+\hat{j}-2 \hat{k})$ at point $(2, -1, 4)$ is _________.

The composition of an air-entrained concrete is given below:$\begin{array}{lcr} \text{Water} & : & 184 \: kg/m^3 \\ \text{Ordinary Portland Cement (OPC)} & : & 368 \: kg/...

The bracket plate connected to a column flange transmits a load of $100$ kN as shown in the following figure. The maximum force for which the bolts should be designed is ...

A tapered circular rod of diameter varying from $20$ mm to $10$ mm is connected to another uniform circular rod of diameter $10$ mm as shown in the following figure. Both...

Two beams are connected by a linear spring as shown in the following figure. For a load $P$ as shown in the figure, the percentage of the applied load $P$ carried by the ...

For the $2D$ truss with the applied loads shown below, the strain energy in the member $XY$ is _____ kN-m. For member $XY$, assume $AE=30$ kN, where $A$ is cross-section ...

An earth embankment is to be constructed with compacted cohesionless soil. The volume of the embankment is $5000 \: m^3$ and the target dry unit weight is $16.2 \: kN/m^3...

A water tank is to be constructed on the soil deposit shown in the figure below. A circular footing of diameter $3$ m and depth of embedment $1$ m has been designed to su...

A $20$ m thick clay layer is sandwiched between a silty sand layer and a gravelly sand layer. The layer experiences $30$ mm settlement in $2$ years.Given:$T_v = \begin{ca...

A non-homogeneous soil deposit consists of a silt layer sandwiched between a fine-sand layer at top and a clay layer below. Permeability of the silt layer is $10$ times t...

A square footing $(2\:m \times 2\:m)$ is subjected to an inclined point load, $P$ as shown in the figure below. The water table is located well below the base of the foot...

A hydraulic jump is formed in a $2$ m wide rectangular channel which is horizontal and frictionless. The post-jump depth and velocity are $0.8$ , and $1$ m/s, respectivel...

A short reach of a $2$ m wide rectangular open channel has its bed level rising in the direction of flow at a slope of $1$ in $10000$. It carries a discharge of $4 m^3/s$...

The drag force, $F_D$, on a sphere kept in a uniform flow field, depends on the diameter of the sphere $D$; flow velocity, $V$, fluid density, $\rho$; and dynamic viscosi...

The concentration of Sulfur Dioxide $(SO_2)$ in ambient atmosphere was measured as $30 \: \mu g /m^3$. Under the same conditions, the above $SO_2$ concentration expressed...

Consider a primary sedimentation tank (PST) in a water treatment plant with Surface Overflow Rate (SOR) of $40\:m^3/m^2/d$. The diameter of the spherical particle which w...

The acceleration-time relationship for a vehicle subjected to non-uniform acceleration is,$$\dfrac{dv}{dt} = (\alpha\: – \beta v_0) e^{ - \beta t}$$where, $v$ is the spee...

On a circular curve, the rate of superelevation is $e$. While negotiating the curve a vehicle comes to a stop. It is seen that the stopped vehicle does not slide inwards ...

A sign is required to be put up asking drivers to slow down to $30$ km/h before entering Zone $Y$ (see figure). On this road, vehicles require $174$ m to slow down to $30...

In a survey work, three independent angles $X, Y$ and $Z$ were observed with weights $W_X, W_Y, W_Z$,respectively. The weight of the sum of angles $X, Y$ and $Z$ is given...

In a region with magnetic declination of $2^{\circ}E$, the magnetic Fore bearing (FB) of a line $AB$ was measured as $N79^{\circ}50’E$. There was local attraction at $A$....