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Side Slope of Section given Hydraulic Radius Calculator

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✖Hydraulic Radius of Triangular Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Hydraulic Radius of Triangular Channel [R_H(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 Hydraulic Radius [z_Tri]

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Side Slope of Section given Hydraulic Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
z_Tri = sqrt((4*(R_H(Δ)^2))/((d_f(Δ)^2)-(4*R_H(Δ)^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.
Hydraulic Radius of Triangular Channel - (Measured in Meter) - Hydraulic Radius of Triangular Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
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

Hydraulic Radius of Triangular Channel: 1.167 Meter --> 1.167 Meter 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 = sqrt((4*(R_H(Δ)^2))/((d_f(Δ)^2)-(4*R_H(Δ)^2))) --> sqrt((4*(1.167^2))/((3.33^2)-(4*1.167^2)))

Evaluating ... ...

z_Tri = 0.982674214271816

STEP 3: Convert Result to Output's Unit

0.982674214271816 --> No Conversion Required

FINAL ANSWER

0.982674214271816 ≈ 0.982674 <-- 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

LaTeX 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

LaTeX 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

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

Wetted Area for Triangular

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

Side Slope of Section given Hydraulic Radius Formula

LaTeX Go

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 Hydraulic Radius?

Side Slope of Section given Hydraulic Radius calculator uses 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))) to calculate the Side Slope of Triangular Channel, The Side Slope of Section given Hydraulic Radius is defined as the elevation of channel sides in channel flow. Side Slope of Triangular Channel is denoted by z_Tri symbol.

How to calculate Side Slope of Section given Hydraulic Radius using this online calculator? To use this online calculator for Side Slope of Section given Hydraulic Radius, enter Hydraulic Radius of Triangular Channel (R_H(Δ)) & Depth of Flow of Triangle Channel (d_f(Δ)) and hit the calculate button. Here is how the Side Slope of Section given Hydraulic Radius calculation can be explained with given input values -> 0.982674 = sqrt((4*(1.167^2))/((3.33^2)-(4*1.167^2))).

FAQ

What is Side Slope of Section given Hydraulic Radius?

The Side Slope of Section given Hydraulic Radius is defined as the elevation of channel sides in channel flow and is represented as z_Tri = sqrt((4*(R_H(Δ)^2))/((d_f(Δ)^2)-(4*R_H(Δ)^2))) or 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 Triangular Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit & 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 Hydraulic Radius?

The Side Slope of Section given Hydraulic Radius is defined as the elevation of channel sides in channel flow is calculated using 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))). To calculate Side Slope of Section given Hydraulic Radius, you need Hydraulic Radius of Triangular Channel (R_H(Δ)) & Depth of Flow of Triangle Channel (d_f(Δ)). With our tool, you need to enter the respective value for Hydraulic Radius 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 Hydraulic Radius 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 = Top Width of Triangular Channel/(2*Depth of Flow of Triangle Channel)

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