Area of Triangular Channel Section for Small Discharges Calculator

✖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 Triangular Channel Section for Small Discharges [A]

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Area of Triangular Channel Section for Small Discharges

Formula

`"A" = "y"^2*("θ"+cot("θ"))`

Example

`"4.772771m²"=("1.635m")^2*("45°"+cot("45°"))`

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Area of Triangular Channel Section for Small Discharges Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Channel = Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope))
A = y^2*(θ+cot(θ))
This formula uses 1 Functions, 3 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.
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

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

Evaluating ... ...

A = 4.77277100534854

STEP 3: Convert Result to Output's Unit

4.77277100534854 Square Meter --> No Conversion Required

FINAL ANSWER

4.77277100534854 ≈ 4.772771 Square Meter <-- Area of Channel

(Calculation completed in 00.004 seconds)

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Coorg institute of technology (CIT), Kodagu

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< 5 Design of Lined Irrigation Channels Calculators

Hydraulic Mean Depth of Triangular Section

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)))

Perimeter of Trapezoidal Channel Section for Small Discharges

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

Area of Trapezoidal Channel Section for Smaller Discharge

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

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

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

Area of Triangular Channel Section for Small Discharges Formula

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

What is Triangular Channel?

Triangular Channel is an open channel with a triangular cross section where one of the sides is vertical and the other inclined. The flow routing through a Channel Connection is described in Analysis of Connections. Parameters to specify: Length, Slope, Manning's n, Height, Side Slope, see Connection Inputs.

Which Canal Sections is used to Carry a Discharge of Above 150 Cumec?

From the practical considerations, a triangular section or trapezoidal section is usually selected.

How to Calculate Area of Triangular Channel Section for Small Discharges?

Area of Triangular Channel Section for Small Discharges calculator uses Area of Channel = Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)) to calculate the Area of Channel, The Area of Triangular Channel Section for Small Discharges formula is defined as when the discharge in the channel is less than 85 cumecs then the radius of the bottom is equal to the depth of water (D). Area of Channel is denoted by A symbol.

How to calculate Area of Triangular Channel Section for Small Discharges using this online calculator? To use this online calculator for Area of Triangular Channel Section for Small Discharges, enter Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ) and hit the calculate button. Here is how the Area of Triangular Channel Section for Small Discharges calculation can be explained with given input values -> 4.772771 = 1.635^2*(0.785398163397301+cot(0.785398163397301)).

FAQ

What is Area of Triangular Channel Section for Small Discharges?

The Area of Triangular Channel Section for Small Discharges formula is defined as when the discharge in the channel is less than 85 cumecs then the radius of the bottom is equal to the depth of water (D) and is represented as A = y^2*(θ+cot(θ)) or Area of Channel = Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)). 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 Triangular Channel Section for Small Discharges?

The Area of Triangular Channel Section for Small Discharges formula is defined as when the discharge in the channel is less than 85 cumecs then the radius of the bottom is equal to the depth of water (D) is calculated using Area of Channel = Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)). To calculate Area of Triangular Channel Section for Small Discharges, you need Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ). With our tool, you need to enter the respective value for 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 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 = (Bed Width of Channel*Depth of Canal with Trapezoidal Cross Section)+Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope))

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