Recent questions tagged gate2016-ce-1

The value of $\int_0^{\infty} \dfrac{1}{1+x^2} dx + \int _0^{\infty} \dfrac{\sin x}{x} dx$ is$\dfrac{\pi}{2} \\$$\pi \\$$\dfrac{3 \pi}{2} \\$$1$

Two beams $PQ$ (fixed at $P$ and with a roller support at $Q$, as shown in Figure I, which allows vertical movement) and $XZ$ (with a hinge at $Y$) are shown in the Figur...

A plane truss with applied loads is shown in the figure.The members which do not carry any force areFT, TG, HU, MP, PLET, GS, UR, VR, QLFT, GS, HU, MP, QLMP, PL, HU, FT, ...

A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force $\color{Red}{P}$ acts at $C$ as ...

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 $IS \: 456-2000$, the mi...

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

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 collap...

Two plates are connected by fillet welds of size $10$ mm and subjected to tension, as shown in the figure. The thickness of each plate is $12$ mm. The yield stress and th...

The Optimistic Time (O), Most likely Time (M) and Pessimistic Time (P) (in days) of the activities in the critical path are given below in the format O – M – P.The expect...

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 $m^3$)...

A homogeneous gravity retaining wall supporting a cohesionless backfill is shown in the figure. The lateral active earth pressure at the bottom of the wall is $40$ kPa.Th...

An undisturbed soil sample was taken from the middle of a clay layer (i.e., $1.5$ m below GL), as shown in figure. The water table was at the top of clay layer. Laborator...

A seepage flow condition is shown in the figure. The saturated unit weight of the soil $\gamma_{sat}=18 \: kN/m^3$. Using unit weight of water, $\gamma_w=9.81 \: kN/m^3$,...

A drained triaxial compression test on a saturated clay yielded the effective shear strength parameters as $c’=15$ kPa and $\phi’=22^{\circ}$. Consolidated Undrained tria...

A concrete gravity dam section is shown in the figure. Assuming unit weight of water as $10 \: kN/m^3$ and unit weight of concrete as $24 \: kN/m^3$, the uplift force per...

Seepage is occurring through a porous media shown in the figure. The hydraulic conductivity values $(k_1, k_2, k_3)$ are in m/day.The seepage discharge ($m^3/day$ per m) ...

A $4$ m wide rectangular channel, having bed slope of $0.001$ carries a discharge of $16 \: m^3/s$. Considering Manning’s roughness coefficient $=0.012$ and $g=10 \: m/s^...

A sector gate is provided on a spillway as shown in the figure. Assuming $g=10 \: m/s^2$, the resultant force per meter length (expressed in kN/m) on the gate will be ___...

A hydraulically efficient trapezoidal channel section has a uniform flow depth of $2$ m. The bed width (expressed in m) of the channel is ______

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’...

An electrostatic precipitator (ESP) with $5600\:m^2$ of collector plate area is $96$ percent efficient in treating $185\:m^3/s$ of flue gas from a $200$ MW thermal power ...

The $2$-day and $4$-day BOD values of a sewage sample are $100$ mg/L and $155$ mg/L, respectively. The value of BOD rate constant (expressed in per day) is __________

While traveling along and against the traffic stream, a moving observer measured the relative flows as $50$ vehicles/hr and $200$ vehicles/hr, respectively. The average s...

The vertical angles subtended by the top of a tower T at two instrument stations set up at P and Q, are shown in the figure. The two stations are in line with the tower a...