Section Factor for Triangle Calculator

✖Side Slope of Triangular Channel is how far a channel drops over a horizontal distance.ⓘ Side Slope of Triangular Channel [z_Tri]			+10% -10%
✖Depth of Flow of Triangle Channel is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.ⓘ Depth of Flow of Triangle Channel [d_f(Δ)]			+10% -10%

✖Section Factor of Triangular Channel is ratio of normal to critical channel depth.ⓘ Section Factor for Triangle [Z_Δ]

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Formula

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Section Factor for Triangle

Formula

`"Z"_{"Δ"} = ("z"_{"Tri"}*("d"_{"f(Δ)"}^2.5))/sqrt(2)`

Example

`"14.16546m^2.5"=("0.99"*(("3.33m")^2.5))/sqrt(2)`

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Download Geometrical Properties of Triangular Channel Section Formulas PDF

Section Factor for Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Factor of Triangular Channel = (Side Slope of Triangular Channel*(Depth of Flow of Triangle Channel^2.5))/sqrt(2)
Z_Δ = (z_Tri*(d_f(Δ)^2.5))/sqrt(2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Section Factor of Triangular Channel - (Measured in Meter^2.5) - Section Factor of Triangular Channel is ratio of normal to critical channel depth.
Side Slope of Triangular Channel - Side Slope of Triangular Channel is how far a channel drops over a horizontal distance.
Depth of Flow of Triangle Channel - (Measured in Meter) - Depth of Flow of Triangle Channel is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

STEP 1: Convert Input(s) to Base Unit

Side Slope of Triangular Channel: 0.99 --> No Conversion Required
Depth of Flow of Triangle Channel: 3.33 Meter --> 3.33 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_Δ = (z_Tri*(d_f(Δ)^2.5))/sqrt(2) --> (0.99*(3.33^2.5))/sqrt(2)

Evaluating ... ...

Z_Δ = 14.1654632110758

STEP 3: Convert Result to Output's Unit

14.1654632110758 Meter^2.5 --> No Conversion Required

FINAL ANSWER

14.1654632110758 ≈ 14.16546 Meter^2.5 <-- Section Factor of Triangular Channel

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 17 Geometrical Properties of Triangular Channel Section Calculators

Side Slope of Section given Hydraulic Radius

Go Side Slope of Triangular Channel = sqrt((4*(Hydraulic Radius of Triangular Channel^2))/((Depth of Flow of Triangle Channel^2)-(4*Hydraulic Radius of Triangular Channel^2)))

Hydraulic Radius of Flow

Go Hydraulic Radius of Triangular Channel = (Depth of Flow of Triangle Channel*Side Slope of Triangular Channel)/(2*sqrt(Side Slope of Triangular Channel^2+1))

Depth of Flow given Hydraulic Radius for Triangle

Go Depth of Flow of Triangle Channel = Hydraulic Radius of Triangular Channel*2*(sqrt(Side Slope of Triangular Channel^2+1))/Side Slope of Triangular Channel

Wetted Perimeter for Triangular Section

Go Wetted Perimeter of Triangular Channel = 2*Depth of Flow of Triangle Channel*(sqrt(Side Slope of Triangular Channel*Side Slope of Triangular Channel+1))

Side Slope of Section given Wetted Area

Go Side Slope of Triangular Channel = Wetted Surface Area of Triangular Channel/(Depth of Flow of Triangle Channel*Depth of Flow of Triangle Channel)

Depth of Flow for Wetted Perimeter for Triangle

Go Depth of Flow of Triangle Channel = (Wetted Perimeter of Triangular Channel)/(2*(sqrt(Side Slope of Triangular Channel^2+1)))

Side Slope of Section given Wetted Perimeters

Go Side Slope of Triangular Channel = sqrt(((Wetted Perimeter of Triangular Channel/(2*Depth of Flow of Triangle Channel))^2)-1)

Side Slope of Section given Section Factor

Go Side Slope of Triangular Channel = Section Factor of Triangular Channel/(((Depth of Flow of Triangle Channel^2.5))/sqrt(2))

Depth of Flow given Section Factor for Triangle Channel

Go Depth of Flow of Triangle Channel = (Section Factor of Triangular Channel*sqrt(2)/Side Slope of Triangular Channel)^(2/5)

Section Factor for Triangle

Go Section Factor of Triangular Channel = (Side Slope of Triangular Channel*(Depth of Flow of Triangle Channel^2.5))/sqrt(2)

Depth of Flow given Wetted Area for Triangle

Go Depth of Flow of Triangle Channel = sqrt(Wetted Surface Area of Triangular Channel/Side Slope of Triangular Channel)

Wetted Area for Triangular

Go Wetted Surface Area of Triangular Channel = Side Slope of Triangular Channel*Depth of Flow of Triangle Channel^2

Side Slope of Section given Top Width for Triangle

Go Side Slope of Triangular Channel = Top Width of Triangular Channel/(2*Depth of Flow of Triangle Channel)

Depth of Flow given Top Width for Triangle

Go Depth of Flow of Triangle Channel = Top Width of Triangular Channel/(2*Side Slope of Triangular Channel)

Top Width for Triangle

Go Top Width of Triangular Channel = 2*Depth of Flow of Triangle Channel*Side Slope of Triangular Channel

Hydraulic Depth for Triangle

Go Hydraulic Depth of Triangular Channel = 0.5*Depth of Flow of Triangle Channel

Depth of Flow given Hydraulic Depth for Triangle

Go Depth of Flow of Triangle Channel = Hydraulic Depth of Triangular Channel*2

Section Factor for Triangle Formula

Section Factor of Triangular Channel = (Side Slope of Triangular Channel*(Depth of Flow of Triangle Channel^2.5))/sqrt(2)
Z_Δ = (z_Tri*(d_f(Δ)^2.5))/sqrt(2)

What is a Triangular Section in Open Channel?

Triangular Channel is an open channel with a triangular cross section where one of the sides is vertical and the other inclined. The flow routing through a Channel Connection is described in Analysis of Connections. Parameters to specify: Length, Slope, Manning's n, Height, Side Slope, see Connection Inputs.

How to Calculate Section Factor for Triangle?

Section Factor for Triangle calculator uses Section Factor of Triangular Channel = (Side Slope of Triangular Channel*(Depth of Flow of Triangle Channel^2.5))/sqrt(2) to calculate the Section Factor of Triangular Channel, The Section Factor for Triangle is defined as the section factor for critical flow computation (Z) is the product of the water area and the square root of the hydraulic depth. Section Factor of Triangular Channel is denoted by Z_Δ symbol.

How to calculate Section Factor for Triangle using this online calculator? To use this online calculator for Section Factor for Triangle, enter Side Slope of Triangular Channel (z_Tri) & Depth of Flow of Triangle Channel (d_f(Δ)) and hit the calculate button. Here is how the Section Factor for Triangle calculation can be explained with given input values -> 14.30998 = (0.99*(3.33^2.5))/sqrt(2).

FAQ

What is Section Factor for Triangle?

The Section Factor for Triangle is defined as the section factor for critical flow computation (Z) is the product of the water area and the square root of the hydraulic depth and is represented as Z_Δ = (z_Tri*(d_f(Δ)^2.5))/sqrt(2) or Section Factor of Triangular Channel = (Side Slope of Triangular Channel*(Depth of Flow of Triangle Channel^2.5))/sqrt(2). Side Slope of Triangular Channel is how far a channel drops over a horizontal distance & Depth of Flow of Triangle Channel is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.

How to calculate Section Factor for Triangle?

The Section Factor for Triangle is defined as the section factor for critical flow computation (Z) is the product of the water area and the square root of the hydraulic depth is calculated using Section Factor of Triangular Channel = (Side Slope of Triangular Channel*(Depth of Flow of Triangle Channel^2.5))/sqrt(2). To calculate Section Factor for Triangle, you need Side Slope of Triangular Channel (z_Tri) & Depth of Flow of Triangle Channel (d_f(Δ)). With our tool, you need to enter the respective value for Side Slope of Triangular Channel & Depth of Flow of Triangle Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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