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Perimeter of Trapezoidal Channel Section for Small Discharges Formula

GoPerimeter of Triangular Channel Section for Small Discharges Formula

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Perimeter of Channel the surface of the channel bottom and sides in direct contact with the aqueous body. Check FAQs

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

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

Perimeter of Trapezoidal Channel Section for Small Discharges Example

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

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

Here is how the Perimeter of Trapezoidal Channel Section for Small Discharges equation looks like.

53.8383 = 48 + (2 \cdot 1.635 \cdot 45 + 2 \cdot 1.635 \cdot \cot (45))

53.8383m = 48m + (2 \cdot 1.635m \cdot 45° + 2 \cdot 1.635m \cdot \cot (45°))

53.8383 = 48 + (2 \cdot 1.635 \cdot 45 + 2 \cdot 1.635 \cdot \cot (45))

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Perimeter of Trapezoidal Channel Section for Small Discharges Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 48m + (2 \cdot 1.635m \cdot 45° + 2 \cdot 1.635m \cdot \cot (45°))

Next Step Convert Units

∴

P = 48m + (2 \cdot 1.635m \cdot 0.7854rad + 2 \cdot 1.635m \cdot \cot (0.7854rad))

Next Step Prepare to Evaluate

∴

P = 48 + (2 \cdot 1.635 \cdot 0.7854 + 2 \cdot 1.635 \cdot \cot (0.7854))

Next Step Evaluate

∴

P = 53.8382519943101m

LAST Step Rounding Answer

∴

P = 53.8383m

Perimeter of Trapezoidal Channel Section for Small Discharges Formula Elements

Variables

Functions

Perimeter of Channel

Perimeter of Channel the surface of the channel bottom and sides in direct contact with the aqueous body.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Perimeter of Channel

Go Perimeter of Triangular Channel Section for Small Discharges

P = 2 \cdot y \cdot (θ + \cot (θ))

Other formulas in Design of Lined Irrigation Channels category

Go Area of Triangular Channel Section for Small Discharges

A = y^{2} \cdot (θ + \cot (θ))

Go Area of Trapezoidal Channel Section for Smaller Discharge

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

How to Evaluate Perimeter of Trapezoidal Channel Section for Small Discharges?

Perimeter of Trapezoidal Channel Section for Small Discharges evaluator uses 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)) to evaluate the Perimeter of Channel, The Perimeter of Trapezoidal Channel Section for Small Discharges formula is defined as the perimeter of a trapezoid defined by the sum of the lengths of its four sides. Perimeter of Channel is denoted by P symbol.

How to evaluate Perimeter of Trapezoidal Channel Section for Small Discharges using this online evaluator? To use this online evaluator for Perimeter of Trapezoidal Channel Section for Small Discharges, enter Bed Width of Channel (B), Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ) and hit the calculate button.

FAQs on Perimeter of Trapezoidal Channel Section for Small Discharges

What is the formula to find Perimeter of Trapezoidal Channel Section for Small Discharges?

The formula of Perimeter of Trapezoidal Channel Section for Small Discharges is expressed as 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)). Here is an example- 53.83825 = 48+(2*1.635*0.785398163397301+2*1.635*cot(0.785398163397301)).

How to calculate Perimeter of Trapezoidal Channel Section for Small Discharges?

With Bed Width of Channel (B), Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ) we can find Perimeter of Trapezoidal Channel Section for Small Discharges using the formula - 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)). This formula also uses Cotangent function(s).

What are the other ways to Calculate Perimeter of Channel?

Here are the different ways to Calculate Perimeter of Channel-

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

Can the Perimeter of Trapezoidal Channel Section for Small Discharges be negative?

No, the Perimeter of Trapezoidal Channel Section for Small Discharges, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Trapezoidal Channel Section for Small Discharges?

Perimeter of Trapezoidal Channel Section for Small Discharges is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Trapezoidal Channel Section for Small Discharges can be measured.

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Perimeter of Trapezoidal Channel Section for Small Discharges Formula

​GoPerimeter of Triangular Channel Section for Small Discharges Formula

Perimeter of Trapezoidal Channel Section for Small Discharges Example

Perimeter of Trapezoidal Channel Section for Small Discharges Solution

Perimeter of Trapezoidal Channel Section for Small Discharges Formula Elements

Other Formulas to find Perimeter of Channel

Other formulas in Design of Lined Irrigation Channels category

How to Evaluate Perimeter of Trapezoidal Channel Section for Small Discharges?

FAQs on Perimeter of Trapezoidal Channel Section for Small Discharges

Variable Name

GoPerimeter of Triangular Channel Section for Small Discharges Formula