CIV E 444 - APPLIED HYDRAULICS FALL 2009 HOMEWORK No. 10 Design a circular concrete culvert with the following data:   Q = 220 cfs; inlet invert elevation = 100 ft; stream bed slope = 0.02; culvert length = 200 ft; tailwater depth above outlet invert = 4 ft; and roadway shoulder elevation = 112 ft. Assume f = 0.015, Manning's n = 0.013, entrance type is square edge with headwalls, and upstream freeboard = 2 ft. Determine the rating for an ogee-type spillway with length L = 12 m, design head H = 1.0 m, crest elevation at 170 m, and river bed elevation at 155 m. Neglect the approach velocity. Determine the discharge in a gated spillway of length L = 100 ft, when the operating head is 5 ft and the gate opening 1 ft. What is the discharge if the opening is raised by 0.5 ft? A 24-in diameter pipe converges into an 8-in pipe as shown in the figure. A gate slot is located in the smaller pipe. Use the free-vortex incipient cavitation index σi to estimate the flow rate that will cause incipient cavitation near at or near point A in the gate slot.