Questions by gatecse

Two prismatic beams having the same flexural rigidity of $1000 \: kN-m^2$ are shown in the figures.If the mid-span deflections of these beams are denoted by $\delta_1$ an...

Consider the prismatic beams with the clamped supports P, Q, and R as shown in the figures.Given that eh modulus of elasticity, $E$ is $2.5 \times 10^4$ MPa; and the mome...

Consider the following statements:Walls of one brick thick are measured in square metersWalls of one brick thick are measured in cubic metersNo deduction in the brickwork...

Two identical concrete piles having the plan dimensions $50 \: cm \times 50 \: cm$ are driven into a homogeneous sandy layers as shown in the figures. Consider the bearin...

Following are the statements related to the stress paths in a triaxial testing of soils:If $\sigma_1 = \sigma_3$, the stress point lies at the origin of the $p-q$ plotIf ...

Two cars P and Q are moving in a racing track continuously for two hours. Assume that no other vehicles are using the track during this time. The expressions relating the...

For the construction of a highway, a cut is to be made as shown in the figure.The soil exhibits $c’=20$ kPa, $\phi’=18^{\circ}$, and the undrained shear strength $=80$ kP...

Two towers, A and B, standing vertically on a horizontal ground, appear in a vertical aerial photograph as shown in the figure.The length of the image of the tower A on t...

A hallow circular shaft has an outer diameter of $100 $ mm and inner diameter of $50 $ mm. If the allowable shear stress is $125$ MPa, the maximum torque (in kN-m) that t...

A simply supprted rectangular concrete beam of span $8$ m has to be prestressed with a force of $1600$ kN. The tendon is of parabolic profile having zero eccentricity at ...

Two plates od $8$ mm thickness each are connected by a fillet weld of $6$ mm thickness as shown in the figure. The permissible stresses in the plate and the weld are $150...

Consider the portal frame shown in the figure and assume the modulus of elasticity, $E=2.5 \times 10^4$ MPa and the moment of inertia, $I= 8 \times 10^8 \: mm^4$ for all ...

A $2$ m long, axially loaded mild steel rod of $8$ mm diameter exhibits the load-displacement $(P-\delta)$ behavior as shown in the figure.Assume the yield stress of stee...

Consider a square shaped area ABCD on the ground with its centre at M as shown in the figure. Four concentrated vertical loads of $P=5000$ kN are applied on this area, on...

The figure shows a U-tube having a $5 \: mm \times 5 mm$ square cross-section filled with mercury (specific gravity $13.6$) up to a height of $20 $ cm in each limb (open...

A $1$ m wide rectangular channel carries a discharge of $2 \: m^3 /s$. The specific energy-depth diagram is prepared for the channel. It is observed in this diagram that ...

A catchment is idealized as a $25 \: km \times 25 \: km$ square. It has five rain gauges, one at each corner and one at the corner, as shown in the figure.During a month,...

The culturable command area of a canal is $10.000$ ha. The area grows only two crops – rice in the Kharif season and wheat in the Rabi season. The design discharge of the...

Water is pumped at a steady uniform flow rate of $0.01 \: m^3/s$ through a horizontal smooth circular pipe of $100$ mm diameter. Given that the Reynolds number is $800$ a...

The composition of a municipal solid waste sample is given below:$\begin{array}{|l|c|c|c|} \hline \text{Component} & \text{Percent by} & \text{Moisture Content} & \text{E...

For a given water sample, the ratio between BOD$_{\text{5-day, 20}^{\circ} C}$ and the ultimate BOD is $0.68$. The value of the reaction rate constant $k$ (on base $e$) (...

A municipal corporation is required to treat $1000 \: m^3/day$ of water. It is found that an overflow rate of $20 m/day$ will produce a satisfactory removal of the discre...

The analysis of a water sample produces the following results:$\begin{array}{|c|c|c|} \hline \text{Ion} & \text{milligram per milli-equivalent} & \text{Concentration} \\ ...

The radii of relative stiffness of the rigid pavements P and Q are denoted by $l_P$ and $l_Q$, respectively. The geometric and material properties of the concrete slab an...

An observer standing on the deck of a ship just sees the top of a lighthouse. The top of the lighthouse is $40$ m above the sea level and the height of the observer’s eye...

An aerial photographer of a terrain having an average elevation of $1400$ m is taken at a scale of $1:7500$. The focal length of the camera is $15$ cm. The altitude of th...

The space mean speed (kmph) and density (vehicles/km) of a traffic stream are linearly related. The free flow speed and jam density are $80$ kmph and $100$ vehicles/km re...

A schematic flow diagram of a completely mixed biological reactor with provision for recycling of solids shown in the figure. $S_0$, $S$ = readily biodegradable soluble B...