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In: Civil Engineering

Q =10, 15 m3/s and the slope will be S = 15 cm/km and the side...

Q =10, 15 m3/s and the slope will be S = 15 cm/km and the side slope, so Z =1. For a trapezoidal channel, given the flow rate, Q, the slope, S, the side slope, Z, n = 0.014, the channel is to be designed to have minimum cost. You are required to: a) What is the value of Q and S? b) What is the ratio of bottom width, b, to flow depth, y? c) Design and draw the cross section of the channel. If the cost of excavation is 50$/m3 and the cost of lining is 200 $/m2, find the total cost of constructing d) two kilometers of this channel. Find the average shear stress and check the overall stability of the channel against erosion if ds = 3 mm, e) and the unit weight of sediment is 2.6 t/m3. If the coefficient of maximum side shear stress, C1 = 0.75 and that for the bed shear stress, C2 = 0.9 and f) angle of soil friction = 50. Check the stability of side and bed against erosion.

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