What is the formula for the area of a trapezoidal channel?

The hydraulic radius for flow in a trapezoidal open channel can be expressed in terms of y, b, and z, as follows: i) The cross-sectional area of flow, A, is the area of the trapezoid in Figure 4: A = y(b + B)/2 = (y/2)(b + B)

How do you use Mannings formula in Excel?

The Manning Equation is:

1. Q = (1.49/n)A(R2/3)(S1/2) for the U.S. units shown below, and it is:
2. Q = (1.0/n)A(R2/3)(S1/2) for the S.I.
3. The equation V = Q/A, a definition for average flow velocity, can be used to express the Manning Equation in terms of average flow velocity,V, instead of flow rate,Q, as follows:

What is trapezoidal channel?

Trapezoidal Channel is an open channel with a trapezoidal cross section where both sides have the same slope. The flow routing through a Channel Connection is described in Analysis of Connections. Parameters to specify: Length, Slope, Manning’s n, Diameter/Base Width, Height, Side Slope, see Connection Inputs.

What is the formula for cross-sectional area?

Cross-sectional area is determined by squaring the radius and then multiplying by 3.14. For example, if a tree is measured as 10” DBH, the radius is 5”. Multiplying 5 by 5 equals 25, which when multiplied by 3.14 equals 78.5.

Which channel has highest hydraulic radius?

Channel with given cross-sectional area (A) and slope (S) having highest hydraulic radius is the ideal channel form with maximum efficiency. Let cross-sectional shape be semicircular (Fig.

What is side slope of trapezoidal channel?

Trapezoidal Cross Section The side slope is usually specified as horiz:vert = z:1. A = (y/2)(b + b + 2zy), because B = b + 2zy, as can be seen from the diagram. Simplifying, the trapezoid area is: A = by + zy2.

How do you calculate normal depth?

Answer: normal depth = 1.02 m. (b) Geometry: trapezoidal cross-section with base width b, surface width + 2 × (2ℎ) and two sloping side lengths √ℎ2 + (2ℎ)2 = ℎ√5.

Which is the best equation for trapezoidal open channel?

Our trapezoidal open channel calculation uses the most commonly used equation for analyzing rivers and streams – the Manning equation. It is the equation beginning with V=… above. The Manning equation is best used for uniform steady state flows.

How does the trapezoidal rule work in Excel?

The trapezoidal rule works by approximating the region under the function f(x) graph as a trapezoid and calculating its area. It follows that:” It follows that:” Calculate the area under a curve/the integral of a function

How to calculate hydraulic radius open channel flow in Excel?

Excel spreadsheets like the one shown below for use as hydraulic radius open channel flow calculators for rectangular, triangular, and trapezoidal flumes, as well as for partially full pipe flow, are available in our spreadsheet store. 1.

How to calculate the slope of a channel in Excel?

The Excel printout at the right shows the trapezoidal channel results with b = 4 ft, y = 3 ft, z = 2, n = 0.012, and S = 0.0003. Download this Excel Spreadsheet. This Excel template is set up to calculate the channel bottom slope needed to provide a specified velocity in