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Side Slope of Section given Section Factor Calculator

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

✖Side Slope of Triangular Channel is how far a channel drops over a horizontal distance.ⓘ Side Slope of Section given Section Factor [z_Tri]

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Formula

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Side Slope of Section given Section Factor

Formula

z Tri = \frac{Z Δ}{\frac{({d f(Δ)}^{2.5})}{\sqrt{2}}}

Example

0.978436 = \frac{14 m^2.5}{\frac{({3.33 m}^{2.5})}{\sqrt{2}}}

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Download Geometrical Properties of Triangular Channel Section Formulas PDF PDF Image

Side Slope of Section given Section Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Side Slope of Triangular Channel - Side Slope of Triangular Channel is how far a channel drops over a horizontal distance.
Section Factor of Triangular Channel - (Measured in Meter^2.5) - Section Factor of Triangular Channel is ratio of normal to critical channel depth.
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

Section Factor of Triangular Channel: 14 Meter^2.5 --> 14 Meter^2.5 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_Tri = Z_Δ/(((d_f(Δ)^2.5))/sqrt(2)) --> 14/(((3.33^2.5))/sqrt(2))

Evaluating ... ...

z_Tri = 0.978436059130283

STEP 3: Convert Result to Output's Unit

0.978436059130283 --> No Conversion Required

FINAL ANSWER

0.978436059130283 ≈ 0.978436 <-- Side Slope of Triangular Channel

(Calculation completed in 00.004 seconds)

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< Geometrical Properties of Triangular Channel Section Calculators

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 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 Section Factor Formula

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

Side Slope of Section given Section Factor calculator uses Side Slope of Triangular Channel = Section Factor of Triangular Channel/(((Depth of Flow of Triangle Channel^2.5))/sqrt(2)) to calculate the Side Slope of Triangular Channel, The Side Slope of Section given Section Factor is defined as slope of sides of channel from vertical of section. Side Slope of Triangular Channel is denoted by z_Tri symbol.

How to calculate Side Slope of Section given Section Factor using this online calculator? To use this online calculator for Side Slope of Section given Section Factor, enter Section Factor of Triangular Channel (Z_Δ) & Depth of Flow of Triangle Channel (d_f(Δ)) and hit the calculate button. Here is how the Side Slope of Section given Section Factor calculation can be explained with given input values -> 0.978436 = 14/(((3.33^2.5))/sqrt(2)).

FAQ

What is Side Slope of Section given Section Factor?

The Side Slope of Section given Section Factor is defined as slope of sides of channel from vertical of section and is represented as z_Tri = Z_Δ/(((d_f(Δ)^2.5))/sqrt(2)) or Side Slope of Triangular Channel = Section Factor of Triangular Channel/(((Depth of Flow of Triangle Channel^2.5))/sqrt(2)). Section Factor of Triangular Channel is ratio of normal to critical channel depth & 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 Side Slope of Section given Section Factor?

The Side Slope of Section given Section Factor is defined as slope of sides of channel from vertical of section is calculated using Side Slope of Triangular Channel = Section Factor of Triangular Channel/(((Depth of Flow of Triangle Channel^2.5))/sqrt(2)). To calculate Side Slope of Section given Section Factor, you need Section Factor of Triangular Channel (Z_Δ) & Depth of Flow of Triangle Channel (d_f(Δ)). With our tool, you need to enter the respective value for Section Factor 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.

How many ways are there to calculate Side Slope of Triangular Channel?

In this formula, Side Slope of Triangular Channel uses Section Factor of Triangular Channel & Depth of Flow of Triangle Channel. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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