question 4 a trapezoidal channel with vertical sides has the geometry
A trapezoidal channel, with vertical sides, has the geometry shown in the figure below. The
bed slope is 1 in 500. Local engineers need to undertake repair works on the channel. The
proposed materials to be used are smooth concrete and brickwork. The engineers wish to
ensure that the height of the water in the channel, outside of storm surges, never exceed the
depth of the trapezoidal section of the pipe, and the design flow rate for normal operations is
(a) Using the appropriate Manning's coefficient for each material, state, with reasons, which
of the two materials is best suited to perform the repair works required.
Due to climate change, it is predicted that the required flow rate in the channel during extreme
rainfall events will increase to 200 m³s-¹.
(b) Check that the existing channel is of sufficient size to cope with the predicted increase in
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