The field compaction of an earthwork was checked by an inspection engineer. In the laboratory test, the soil gives a maximum dry density of 1.521 gram/cc at optimuin moisture content of 14.8%. Construction specifications requires that the soil compacted dry density imust be at least 95% of the maximum dry density obtained from laboratory within t 0.2% of optimum moisture content. The following data were obtained in the field using the sand cone test: Volume of soil excavated = 1245-cm Weight of soil excavated = 2260 grams Dry weight of soil = 1810 grams What is the field unit weight of the soil? A. 1.815 g/cc B. 1.857 g/cc What is the in situ moisture content of the soil? A. 25.14% B. 23.78% C. 1.921 g/cc D. 1.784 g/cc C. 26.32% D. 24.86% Determine the relative compaction of the soil and whether it is adequate or not. A. 95.58, not adequate B. 95.18, adequate C. 95.18, not adequate D. 95.58, adequate

Explained why manning formula is used, and explain the solution.

Ex: Design alined channel to carly a discharge of (50 Cumecs). Assume bed slope as(1 in 8l00) and side slope 45° , n = 0.ol5 .

At the outfall from a lake into a steep channel, the channel is of trapezoidal section with a base width of 6.0 m and side slopes of 2H: IV, and the bed of the channel is 3.5 m below the lake level. Find the (a) discharge and (b) normal depth in the channel.

A trapezoidal channel with a bottom width of 5m and side slope of 1V:2H is constructed to convey a steady discharge to a hydropower installation. This is made up of concrete with a Manning's n = 0.016 and bed slope of 3V:2000H. a. Determine the discharge and velocity if the discharge has a 2m-depth of water? b. Calculate the depth if discharge is 35m³/s? c. As shown below, when flooded, the flow goes over the top of the channel. If the flood channels are 10 m. wide and with side slopes of 1V:3H, and roughness is n=0.035, what is the discharge for a flood level of 4m?

4.7. Water flows at a depth of 2.20 m in a trapezoidal, concrete-lined section (ks of 3.6 m and side slopes of 2:1 (H:V). The longitudinal slope of the channel is 0.0006 and the water temperature is 20°C. Assuming uniform-flow conditions, estimate the average velocity and flow rate in the channel. Use : 2 mm) with a bottom width Manning equations

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5.5 Please show complete solution.

Water flows in a trapezoidal channel in which the bottom width is 6 m and the side slopes are 2:1 (H:V). The channel lining has an estimated Manning n of 0.045, and the longitudinal slope of the channel is 1.5 %. When the flow rate is 80 m3/s, the depth of flow at a gaging station is 5 m. Classify the water-surface profile, state whether the depth increases or decreases in the downstream direction

Size the channel for a mechanically cleaned coarse bar rack for a flowrate of 40,000 m/d. The bar rack will be set at an angle of 75 degrees from horizontal and will have clear bar spacing of 12 mm. The bar rack uses 12-mm-wide by 25-mm deep bars. The upstream chan- nel velocity should be greater than 0.4 m/s. Determine the headloss through the bar rack for the clean screen and for a screen that is 50 percent clogged.