Calculate the depth d in which the discharge (Q=1.5 m/sec) will flow through the channel with trapezoid-shaped cross section. Width of the channel bed is (b =2 m), slope of bed (S=0.05%), sides slope is (Z=1.5). The channel is excavated in gravel sends in which the roughness coefficient is (n =0.0247).

1- A 2 m wide rectangular channel (n=0.015), carries a discharge of 6 m³/s. The channel is laid on slope of 0.0162. The channel width and slope changed to 1.5 m and 0.0122, respectively. (a) Calculate critical and normal depths. (b) Calculate Froude numbers. (c) Plot the water surface profile. 2- Sketch and label the type of water surface profile in (a), (b) and (c). (a) (b) (c) TTTTTTTTT L n (Small) n (Large) TTTTTTT NDL NDL CDL NDL CDL NDL MITT

3. A rectangular box culvert has a 90º headwall with 33.7º bevels, and the inlet is mitered. The width of the culvert is b = 4 ft and the height is d=5 ft. The culvert is 100 m long with a slope of S = 0.01. Prepare a plot of HW versus Q for this culvert if it is to operate under inlet control.