Side Slope of Section given Wetted Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side Slope of Triangular Channel = Wetted Surface Area of Triangular Channel/(Depth of Flow of Triangle Channel*Depth of Flow of Triangle Channel)
zTri = ATri/(df(Δ)*df(Δ))
This formula uses 3 Variables
Variables Used
Side Slope of Triangular Channel - Side Slope of Triangular Channel is how far a channel drops over a horizontal distance.
Wetted Surface Area of Triangular Channel - (Measured in Square Meter) - Wetted Surface Area of Triangular Channel [length^2] is the total area of outer surface in contact with the surrounding water.
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
Wetted Surface Area of Triangular Channel: 10.89 Square Meter --> 10.89 Square 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
zTri = ATri/(df(Δ)*df(Δ)) --> 10.89/(3.33*3.33)
Evaluating ... ...
zTri = 0.982063144225306
STEP 3: Convert Result to Output's Unit
0.982063144225306 --> No Conversion Required
FINAL ANSWER
0.982063144225306 0.982063 <-- Side Slope of Triangular Channel
(Calculation completed in 00.004 seconds)

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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

Side Slope of Section given Wetted Area Formula

Side Slope of Triangular Channel = Wetted Surface Area of Triangular Channel/(Depth of Flow of Triangle Channel*Depth of Flow of Triangle Channel)
zTri = ATri/(df(Δ)*df(Δ))

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 Wetted Area?

Side Slope of Section given Wetted Area calculator uses Side Slope of Triangular Channel = Wetted Surface Area of Triangular Channel/(Depth of Flow of Triangle Channel*Depth of Flow of Triangle Channel) to calculate the Side Slope of Triangular Channel, The Side Slope of Section given Wetted Area is defined as the slope of section measured from vertical. Side Slope of Triangular Channel is denoted by zTri symbol.

How to calculate Side Slope of Section given Wetted Area using this online calculator? To use this online calculator for Side Slope of Section given Wetted Area, enter Wetted Surface Area of Triangular Channel (ATri) & Depth of Flow of Triangle Channel (df(Δ)) and hit the calculate button. Here is how the Side Slope of Section given Wetted Area calculation can be explained with given input values -> 0.982063 = 10.89/(3.33*3.33).

FAQ

What is Side Slope of Section given Wetted Area?
The Side Slope of Section given Wetted Area is defined as the slope of section measured from vertical and is represented as zTri = ATri/(df(Δ)*df(Δ)) or Side Slope of Triangular Channel = Wetted Surface Area of Triangular Channel/(Depth of Flow of Triangle Channel*Depth of Flow of Triangle Channel). Wetted Surface Area of Triangular Channel [length^2] is the total area of outer surface in contact with the surrounding water & 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 Wetted Area?
The Side Slope of Section given Wetted Area is defined as the slope of section measured from vertical is calculated using Side Slope of Triangular Channel = Wetted Surface Area of Triangular Channel/(Depth of Flow of Triangle Channel*Depth of Flow of Triangle Channel). To calculate Side Slope of Section given Wetted Area, you need Wetted Surface Area of Triangular Channel (ATri) & Depth of Flow of Triangle Channel (df(Δ)). With our tool, you need to enter the respective value for Wetted Surface Area 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 Wetted Surface Area of Triangular Channel & Depth of Flow of Triangle Channel. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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)))
  • Side Slope of Triangular Channel = Top Width of Triangular Channel/(2*Depth of Flow of Triangle Channel)
  • Side Slope of Triangular Channel = Section Factor of Triangular Channel/(((Depth of Flow of Triangle Channel^2.5))/sqrt(2))
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