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Area of Triangular Channel Section for Small Discharges Formula

GoArea of Trapezoidal Channel Section for Smaller Discharge Formula

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Area of Channel is the total area is divided into three, smaller ones. Check FAQs

A = y^{2} \cdot (θ + \cot (θ))

A - Area of Channel?y - Depth of Canal with Trapezoidal Cross Section?θ - Side Slope?

Area of Triangular Channel Section for Small Discharges Example

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Here is how the Area of Triangular Channel Section for Small Discharges equation looks like with Values.

Here is how the Area of Triangular Channel Section for Small Discharges equation looks like with Units.

Here is how the Area of Triangular Channel Section for Small Discharges equation looks like.

4.7728 = {1.635}^{2} \cdot (45 + \cot (45))

4.7728m² = {1.635m}^{2} \cdot (45° + \cot (45°))

4.7728 = {1.635}^{2} \cdot (45 + \cot (45))

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Area of Triangular Channel Section for Small Discharges Solution

Follow our step by step solution on how to calculate Area of Triangular Channel Section for Small Discharges?

FIRST Step Consider the formula

A = y^{2} \cdot (θ + \cot (θ))

Next Step Substitute values of Variables

∴

A = {1.635m}^{2} \cdot (45° + \cot (45°))

Next Step Convert Units

∴

A = {1.635m}^{2} \cdot (0.7854rad + \cot (0.7854rad))

Next Step Prepare to Evaluate

∴

A = {1.635}^{2} \cdot (0.7854 + \cot (0.7854))

Next Step Evaluate

∴

A = 4.77277100534854m²

LAST Step Rounding Answer

∴

A = 4.7728m²

Area of Triangular Channel Section for Small Discharges Formula Elements

Variables

Functions

Area of Channel

Area of Channel is the total area is divided into three, smaller ones.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Channel

Depth of Canal with Trapezoidal Cross Section

Depth of canal with trapezoidal cross section.

Symbol: y

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Canal with Trapezoidal Cross Section

Side Slope

Side slope is the slope of the cut or fill expressed as the ratio of horizontal distance to vertical distance.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Side Slope

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

Other Formulas to find Area of Channel

Go Area of Trapezoidal Channel Section for Smaller Discharge

A = (B \cdot y) + y^{2} \cdot (θ + \cot (θ))

Other formulas in Design of Lined Irrigation Channels category

Go Perimeter of Triangular Channel Section for Small Discharges

P = 2 \cdot y \cdot (θ + \cot (θ))

Go Hydraulic Mean Depth of Triangular Section

H = \frac{y^{2} \cdot (θ + \cot (θ))}{2 \cdot y \cdot (θ + \cot (θ))}

Go Perimeter of Trapezoidal Channel Section for Small Discharges

P = B + (2 \cdot y \cdot θ + 2 \cdot y \cdot \cot (θ))

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

Area of Triangular Channel Section for Small Discharges evaluator uses Area of Channel = Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)) to evaluate 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 evaluate Area of Triangular Channel Section for Small Discharges using this online evaluator? To use this online evaluator 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.

FAQs on Area of Triangular Channel Section for Small Discharges

What is the formula to find Area of Triangular Channel Section for Small Discharges?

The formula of Area of Triangular Channel Section for Small Discharges is expressed as Area of Channel = Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)). Here is an example- 4.772771 = 1.635^2*(0.785398163397301+cot(0.785398163397301)).

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

With Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ) we can find Area of Triangular Channel Section for Small Discharges using the formula - Area of Channel = Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)). This formula also uses Cotangent (cot) function(s).

What are the other ways to Calculate Area of Channel?

Here are the different ways to Calculate Area of Channel-

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))

Can the Area of Triangular Channel Section for Small Discharges be negative?

No, the Area of Triangular Channel Section for Small Discharges, measured in Area cannot be negative.

Which unit is used to measure Area of Triangular Channel Section for Small Discharges?

Area of Triangular Channel Section for Small Discharges is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Triangular Channel Section for Small Discharges can be measured.

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