Perimeter of Trapezoidal Channel Section for Small Discharges Calculator

✖Bed Width of Channel the distance between the bottom of the left bank and the bottom of the right bank.ⓘ Bed Width of Channel [B]			+10% -10%
✖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%

✖Perimeter of Channel the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Perimeter of Trapezoidal Channel Section for Small Discharges [P]

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Perimeter of Trapezoidal Channel Section for Small Discharges Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
P = B+(2*y*θ+2*y*cot(θ))
This formula uses 1 Functions, 4 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.
Bed Width of Channel - (Measured in Meter) - Bed Width of Channel the distance between the bottom of the left bank and the bottom of the right bank.
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

Bed Width of Channel: 48 Meter --> 48 Meter No Conversion Required
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 = B+(2*y*θ+2*y*cot(θ)) --> 48+(2*1.635*0.785398163397301+2*1.635*cot(0.785398163397301))

Evaluating ... ...

P = 53.8382519943101

STEP 3: Convert Result to Output's Unit

53.8382519943101 Meter --> No Conversion Required

FINAL ANSWER

53.8382519943101 ≈ 53.83825 Meter <-- Perimeter of Channel

(Calculation completed in 00.004 seconds)

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Created by bhuvaneshwari

Coorg institute of technology (CIT), Kodagu

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Gautam Buddha University (GBU), Greater Noida

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< Design of Lined Irrigation Channels Calculators

Hydraulic Mean Depth of Triangular Section

LaTeX 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)))

Area of Trapezoidal Channel Section for Smaller Discharge

LaTeX 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

LaTeX 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

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

Perimeter of Trapezoidal Channel Section for Small Discharges Formula

LaTeX 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))
P = B+(2*y*θ+2*y*cot(θ))

Does a Trapezoid have a Perimeter?

To find the perimeter, or the total length of all the sides of the trapezoid, we simply add the lengths of each side. In this trapezoid ABCD, we see that the perimeter of the trapezoid is the sum of AB, BC, DC, and AD: The length of the bottom base, DC, is 4.5.

What is the Formula for Perimeter of Trapezoid?

The formula for the perimeter of the trapezoid is the sum of lengths of all sides of the trapezoid. For any trapezoid ABCD, the perimeter of trapezoid ABCD is expressed as, P = AB + BC + CD + AD, where AB, CD are parallel sides (bases) and AD, BC are non-parallel sides (legs). Thus, the perimeter of the trapezoid can also be written as P = (sum of lengths of parallel sides) + (sum of lengths of non-parallel sides).

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

Perimeter of Trapezoidal Channel Section for Small Discharges calculator 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 calculate 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 calculate Perimeter of Trapezoidal Channel Section for Small Discharges using this online calculator? To use this online calculator 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. Here is how the Perimeter of Trapezoidal Channel Section for Small Discharges calculation can be explained with given input values -> 53.83825 = 48+(2*1.635*0.785398163397301+2*1.635*cot(0.785398163397301)).

FAQ

What is Perimeter of Trapezoidal Channel Section for Small Discharges?

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 and is represented as P = B+(2*y*θ+2*y*cot(θ)) or 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)). Bed Width of Channel the distance between the bottom of the left bank and the bottom of the right bank, 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 Trapezoidal Channel Section for Small Discharges?

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 is calculated using 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 calculate Perimeter of Trapezoidal Channel Section for Small Discharges, you need Bed Width of Channel (B), Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ). With our tool, you need to enter the respective value for Bed Width of Channel, 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 Bed Width of Channel, 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 = 2*Depth of Canal with Trapezoidal Cross Section*(Side Slope+cot(Side Slope))

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