CIV E 444 - APPLIED HYDRAULICS FALL 2009 HOMEWORK No. 5 Design a wedge transition between a trapezoidal canal of yn = 2 ft, b = 8 ft, z = 1, S = 0.0005, and n = 0.013, and a rectangular flume of b = 4 ft, S = 0.002, and n = 0.011. The u/s invert elevation is 1000 ft. Determine the d/s invert elevation. Calculate the water surface elevations upstream and downstream of the transition, and at several cross sections within the transition, located at 2 ft apart, measured from u/s. Round length of the transition to the nearest foot. Assume α1 = 1.2; α2 = 1.1; αtransition = 1.15. Determine invert elevations at all cross sections. A diversion dam will impound water in a stream to raise the head. The discharge is Q = 80 m3/s, the bottom width b = 45 m, the side slope z = 2, the bottom slope So = 0.0005, and Manning's n = 0.03. The operating head is 2.5 m above the streambed. (a) Identify the type of water-surface profile. (b) Calculate the normal depth in the upstream channel. Use onlinechannel01. (c) Calculate the total length of the water-surface profile (backwater). Use the appropriate online calculator. (d) Calculate the length from the dam to a location upstream where the normal depth is exceeded by 1%. (e) What percentage of total length is the length (distance) from dam to a depth equal to 1.01 of the normal depth? Calculate the discharge over a broad-crested weir of length L = 5 ft, when the head above the crest H = 0.5 ft and the weir height P = 2 ft. The upstream corners are relatively sharp, and the upstream face of the weir slopes at 45o. A triangular weir is designed with a head of 1.2 ft and angle θ = 90o. What is a conservative value of the design discharge (cfs)?