List of top Soil and Water Conservation Engineering Questions on Soil Mechanics asked in GATE AG

A homogenous anisotropic earthen dam of height 52 m with a free board of 2 m is constructed on an impermeable foundation. The horizontal and vertical hydraulic conductivities of soil are \(K_h = 4.5 \times 10^{-8} \, m/s\) and \(K_v = 2.0 \times 10^{-8} \, m/s\). There are 6 flow channels and 25 equipotential drops in a square flownet drawn in the transformed dam section. If the downstream dam side is dry, the quantity of seepage per unit length through the dam in m\(^3\)/day/m is \underline{\hspace{3cm}}.

A trapezoidal grassed waterway with side slope (H:V) of 1:1 carries a design discharge of \(1 \, m^3/s\). The bed slope and Manning's roughness coefficient of this channel are 1% and 0.04, respectively. The design depth of the best hydraulic trapezoidal grassed waterway section in m is \underline{\hspace{3cm}} (rounded off to 2 decimal places).

The statement which is not correct for the porous medium is

The crank radius and connecting rod length of an IC engine are 250 mm and 1000 mm, respectively. If the crank turns 100° from the head dead centre and the net force acting on the piston along its direction of motion is 35 kN, the turning moment of the crank shaft at that instant in kN m is _____. \textit{[Round off to two decimal places]}

A mild steel flange-mounted single shear pin (Ultimate shear strength = 42 MPa) is used in a flange. The perpendicular distance between the axis of driving shaft and the shear pin axis is 100 mm. If the speed of the driving shaft is 300 rpm, the maximum power the shaft could transmit in kW before the failure of the pin is _____. \textit{[Round off to two decimal places.]}