Area of Trapezoidal Channel Section for Smaller Discharge Calculator

✖Bed Width of Channel the distance between the bottom of the left bank and the bottom of the right bank.ⓘ Bed Width of Channel [B]			+10% -10%
✖Depth of canal with trapezoidal cross section.ⓘ Depth of Canal with Trapezoidal Cross Section [y]			+10% -10%
✖Side slope is the slope of the cut or fill expressed as the ratio of horizontal distance to vertical distance.ⓘ Side Slope [θ]			+10% -10%

✖Area of Channel is the total area is divided into three, smaller ones.ⓘ Area of Trapezoidal Channel Section for Smaller Discharge [A]

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Area of Trapezoidal Channel Section for Smaller Discharge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Channel = (Bed Width of Channel*Depth of Canal with Trapezoidal Cross Section)+Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope))
A = (B*y)+y^2*(θ+cot(θ))
This formula uses 1 Functions, 4 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

Variables Used

Area of Channel - (Measured in Square Meter) - Area of Channel is the total area is divided into three, smaller ones.
Bed Width of Channel - (Measured in Meter) - Bed Width of Channel the distance between the bottom of the left bank and the bottom of the right bank.
Depth of Canal with Trapezoidal Cross Section - (Measured in Meter) - Depth of canal with trapezoidal cross section.
Side Slope - (Measured in Radian) - Side slope is the slope of the cut or fill expressed as the ratio of horizontal distance to vertical distance.

STEP 1: Convert Input(s) to Base Unit

Bed Width of Channel: 48 Meter --> 48 Meter No Conversion Required
Depth of Canal with Trapezoidal Cross Section: 1.635 Meter --> 1.635 Meter No Conversion Required
Side Slope: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (B*y)+y^2*(θ+cot(θ)) --> (48*1.635)+1.635^2*(0.785398163397301+cot(0.785398163397301))

Evaluating ... ...

A = 83.2527710053485

STEP 3: Convert Result to Output's Unit

83.2527710053485 Square Meter --> No Conversion Required

FINAL ANSWER

83.2527710053485 ≈ 83.25277 Square Meter <-- Area of Channel

(Calculation completed in 00.004 seconds)

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< Design of Lined Irrigation Channels Calculators

Hydraulic Mean Depth of Triangular Section

LaTeX Go Hydraulic Mean Depth of Triangular Section = (Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)))/(2*Depth of Canal with Trapezoidal Cross Section*(Side Slope+cot(Side Slope)))

Area of Trapezoidal Channel Section for Smaller Discharge

LaTeX Go Area of Channel = (Bed Width of Channel*Depth of Canal with Trapezoidal Cross Section)+Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope))

Perimeter of Triangular Channel Section for Small Discharges

LaTeX Go Perimeter of Channel = 2*Depth of Canal with Trapezoidal Cross Section*(Side Slope+cot(Side Slope))

Area of Triangular Channel Section for Small Discharges

LaTeX Go Area of Channel = Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope))

Area of Trapezoidal Channel Section for Smaller Discharge Formula

LaTeX Go

Area of Channel = (Bed Width of Channel*Depth of Canal with Trapezoidal Cross Section)+Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope))
A = (B*y)+y^2*(θ+cot(θ))

What is the most Efficient Channel Section?

Compared to other cross-sections, the semicircular section has the lowest wetted perimeter, and is, therefore, the section of the highest efficiency, but, due to practical limitations in maintaining the section, trapezoidal channels are usually employed.

Why do we use Trapezoidal Channels?

Overall, the trapezoidal flume style generates the lowest head loss of any sort of short throated flume. This is due to its flat bottom, which allows it to sit flush on the floor of the majority of channels. In addition, its outward sloping sidewalls allow large flows to pass through unimpeded.

How to Calculate Area of Trapezoidal Channel Section for Smaller Discharge?

Area of Trapezoidal Channel Section for Smaller Discharge calculator uses Area of Channel = (Bed Width of Channel*Depth of Canal with Trapezoidal Cross Section)+Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)) to calculate the Area of Channel, The Area of Trapezoidal Channel Section for Smaller Discharge formula is defined as an open channel with a trapezoidal cross-section where both sides have the same slope. Area of Channel is denoted by A symbol.

How to calculate Area of Trapezoidal Channel Section for Smaller Discharge using this online calculator? To use this online calculator for Area of Trapezoidal Channel Section for Smaller Discharge, enter Bed Width of Channel (B), Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ) and hit the calculate button. Here is how the Area of Trapezoidal Channel Section for Smaller Discharge calculation can be explained with given input values -> 83.25277 = (48*1.635)+1.635^2*(0.785398163397301+cot(0.785398163397301)).

FAQ

What is Area of Trapezoidal Channel Section for Smaller Discharge?

The Area of Trapezoidal Channel Section for Smaller Discharge formula is defined as an open channel with a trapezoidal cross-section where both sides have the same slope and is represented as A = (B*y)+y^2*(θ+cot(θ)) or Area of Channel = (Bed Width of Channel*Depth of Canal with Trapezoidal Cross Section)+Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)). Bed Width of Channel the distance between the bottom of the left bank and the bottom of the right bank, Depth of canal with trapezoidal cross section & Side slope is the slope of the cut or fill expressed as the ratio of horizontal distance to vertical distance.

How to calculate Area of Trapezoidal Channel Section for Smaller Discharge?

The Area of Trapezoidal Channel Section for Smaller Discharge formula is defined as an open channel with a trapezoidal cross-section where both sides have the same slope is calculated using Area of Channel = (Bed Width of Channel*Depth of Canal with Trapezoidal Cross Section)+Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)). To calculate Area of Trapezoidal Channel Section for Smaller Discharge, you need Bed Width of Channel (B), Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ). With our tool, you need to enter the respective value for Bed Width of Channel, Depth of Canal with Trapezoidal Cross Section & Side Slope and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Channel?

In this formula, Area of Channel uses Bed Width of Channel, Depth of Canal with Trapezoidal Cross Section & Side Slope. We can use 1 other way(s) to calculate the same, which is/are as follows -

Area of Channel = Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope))

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