Perimeter of Triangular Channel Section for Small Discharges Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Channel = 2*Depth of Canal with Trapezoidal Cross Section*(Side Slope+cot(Side Slope))
P = 2*y*(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
Perimeter of Channel - (Measured in Meter) - Perimeter of Channel the surface of the channel bottom and sides in direct contact with the aqueous body.
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
P = 2*y*(θ+cot(θ)) --> 2*1.635*(0.785398163397301+cot(0.785398163397301))
Evaluating ... ...
P = 5.83825199431014
STEP 3: Convert Result to Output's Unit
5.83825199431014 Meter --> No Conversion Required
FINAL ANSWER
5.83825199431014 5.838252 Meter <-- Perimeter of Channel
(Calculation completed in 00.004 seconds)

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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))

Perimeter of Triangular Channel Section for Small Discharges Formula

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

What does Wetted Perimeter mean?

Wetted perimeter of a pipe is the area of the pipe in contact with the fluid that it carries. Sewer systems are designed to perform in a uniform and steady manner to prevent blockage due to deposition of solids due to low velocity of flow or scouring due to high velocity of flow.

What is the formula for Perimeter?

In order to find the perimeter, or distance around the rectangle, we need to add up all four side lengths. This can be done efficiently by simply adding the length and the width, and then multiplying this sum by two since there are two of each side length. Perimeter=(length+width)×2 is the formula for perimeter.

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

Perimeter of Triangular Channel Section for Small Discharges calculator uses Perimeter of Channel = 2*Depth of Canal with Trapezoidal Cross Section*(Side Slope+cot(Side Slope)) to calculate the Perimeter of Channel, The Perimeter of Triangular Channel Section for Small Discharges formula is defined as the surface of the channel bottom and sides in direct contact with the aqueous body. Perimeter of Channel is denoted by P symbol.

How to calculate Perimeter of Triangular Channel Section for Small Discharges using this online calculator? To use this online calculator for Perimeter 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 Perimeter of Triangular Channel Section for Small Discharges calculation can be explained with given input values -> 5.838252 = 2*1.635*(0.785398163397301+cot(0.785398163397301)).

FAQ

What is Perimeter of Triangular Channel Section for Small Discharges?
The Perimeter of Triangular Channel Section for Small Discharges formula is defined as the surface of the channel bottom and sides in direct contact with the aqueous body and is represented as P = 2*y*(θ+cot(θ)) or Perimeter of Channel = 2*Depth of Canal with Trapezoidal Cross Section*(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 Perimeter of Triangular Channel Section for Small Discharges?
The Perimeter of Triangular Channel Section for Small Discharges formula is defined as the surface of the channel bottom and sides in direct contact with the aqueous body is calculated using Perimeter of Channel = 2*Depth of Canal with Trapezoidal Cross Section*(Side Slope+cot(Side Slope)). To calculate Perimeter 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 Perimeter of Channel?
In this formula, Perimeter 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 -
  • 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))
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