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Area of Trapezoidal Channel Section for Smaller Discharge Formula

GoArea of Triangular Channel Section for Small Discharges Formula

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

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

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

Area of Trapezoidal Channel Section for Smaller Discharge Example

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Here is how the Area of Trapezoidal Channel Section for Smaller Discharge equation looks like with Values.

Here is how the Area of Trapezoidal Channel Section for Smaller Discharge equation looks like with Units.

Here is how the Area of Trapezoidal Channel Section for Smaller Discharge equation looks like.

83.2528 = (48 \cdot 1.635) + {1.635}^{2} \cdot (45 + \cot (45))

83.2528m² = (48m \cdot 1.635m) + {1.635m}^{2} \cdot (45° + \cot (45°))

83.2528 = (48 \cdot 1.635) + {1.635}^{2} \cdot (45 + \cot (45))

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Area of Trapezoidal Channel Section for Smaller Discharge Solution

Follow our step by step solution on how to calculate Area of Trapezoidal Channel Section for Smaller Discharge?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = (48m \cdot 1.635m) + {1.635m}^{2} \cdot (45° + \cot (45°))

Next Step Convert Units

∴

A = (48m \cdot 1.635m) + {1.635m}^{2} \cdot (0.7854rad + \cot (0.7854rad))

Next Step Prepare to Evaluate

∴

A = (48 \cdot 1.635) + {1.635}^{2} \cdot (0.7854 + \cot (0.7854))

Next Step Evaluate

∴

A = 83.2527710053485m²

LAST Step Rounding Answer

∴

A = 83.2528m²

Area of Trapezoidal Channel Section for Smaller Discharge 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

Bed Width of Channel

Bed Width of Channel the distance between the bottom of the left bank and the bottom of the right bank.

Symbol: B

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Bed Width 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 Triangular Channel Section for Small Discharges

A = 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 Trapezoidal Channel Section for Smaller Discharge?

Area of Trapezoidal Channel Section for Smaller Discharge evaluator 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 evaluate 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 evaluate Area of Trapezoidal Channel Section for Smaller Discharge using this online evaluator? To use this online evaluator 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.

FAQs on Area of Trapezoidal Channel Section for Smaller Discharge

What is the formula to find Area of Trapezoidal Channel Section for Smaller Discharge?

The formula of Area of Trapezoidal Channel Section for Smaller Discharge is expressed as 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)). Here is an example- 83.25277 = (48*1.635)+1.635^2*(0.785398163397301+cot(0.785398163397301)).

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

With Bed Width of Channel (B), Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ) we can find Area of Trapezoidal Channel Section for Smaller Discharge using the formula - 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)). 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=Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope))

Can the Area of Trapezoidal Channel Section for Smaller Discharge be negative?

No, the Area of Trapezoidal Channel Section for Smaller Discharge, measured in Area cannot be negative.

Which unit is used to measure Area of Trapezoidal Channel Section for Smaller Discharge?

Area of Trapezoidal Channel Section for Smaller Discharge 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 Trapezoidal Channel Section for Smaller Discharge can be measured.

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