Question 1 The sketch below represents a trapezoidal open channel used to manage storm water in A small town in KZN that contributes a discharge Q of 30 m³/sec. The channel base width is 1.5m and has side slopes of 1:2 and a bed slope of 1.5%. Use manning's coefficient (n) = 0.015. Estimate the height of the water after the heavy rain by using the Bisection method. The water height is between 1 m and 2 m. Do five (5) iterations Water level Useful formulae: Q = ² * A* R³* R² * S² n h R = 4 (Area/wetted perimeter) Note: For this channel section A and P h = height of water (requires estimation) b = bottom width of channel (1.5 m) are given by Sketch not to scale A = bh + 2h² P = b + 2hv1 + 2²

Structural Analysis
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Chapter2: Loads On Structures
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Question 1
The sketch below represents a trapezoidal open channel used to manage storm water
in A small town in KZN that contributes a discharge Q of 30 m³/sec. The channel base
width is 1.5m and has side slopes of 1:2 and a bed slope of 1.5%. Use manning's
coefficient (n) = 0.015. Estimate the height of the water after the heavy rain by using the
Bisection method. The water height is between 1 m and 2 m. Do five (5) iterations
Water level
Useful formulae:
A*
Q = ² * R ³ * S²
n
h
R = 4 (Area/wetted perimeter)
Note:
For this channel section A and P
h = height of water (requires estimation)
b = bottom width of channel (1.5 m)
are given by
Sketch not to scale
A = bh + 2h²
P = b + 2hv1 + 2²
Transcribed Image Text:Question 1 The sketch below represents a trapezoidal open channel used to manage storm water in A small town in KZN that contributes a discharge Q of 30 m³/sec. The channel base width is 1.5m and has side slopes of 1:2 and a bed slope of 1.5%. Use manning's coefficient (n) = 0.015. Estimate the height of the water after the heavy rain by using the Bisection method. The water height is between 1 m and 2 m. Do five (5) iterations Water level Useful formulae: A* Q = ² * R ³ * S² n h R = 4 (Area/wetted perimeter) Note: For this channel section A and P h = height of water (requires estimation) b = bottom width of channel (1.5 m) are given by Sketch not to scale A = bh + 2h² P = b + 2hv1 + 2²
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