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Side Slope of Section given Wetted Perimeters Formula

GoSide Slope of Section given Wetted Area Formula

GoSide Slope of Section given Hydraulic Radius Formula

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Side Slope of Triangular Channel is how far a channel drops over a horizontal distance. Check FAQs

z Tri = \sqrt{({(\frac{P Tri}{2 \cdot d f(Δ)})}^{2}) - 1}

z_Tri - Side Slope of Triangular Channel?P_Tri - Wetted Perimeter of Triangular Channel?d_f(Δ) - Depth of Flow of Triangle Channel?

Side Slope of Section given Wetted Perimeters Example

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Here is how the Side Slope of Section given Wetted Perimeters equation looks like with Values.

Here is how the Side Slope of Section given Wetted Perimeters equation looks like with Units.

Here is how the Side Slope of Section given Wetted Perimeters equation looks like.

0.9811 = \sqrt{({(\frac{9.33}{2 \cdot 3.33})}^{2}) - 1}

0.9811 = \sqrt{({(\frac{9.33m}{2 \cdot 3.33m})}^{2}) - 1}

0.9811 = \sqrt{({(\frac{9.33}{2 \cdot 3.33})}^{2}) - 1}

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Side Slope of Section given Wetted Perimeters Solution

Follow our step by step solution on how to calculate Side Slope of Section given Wetted Perimeters?

FIRST Step Consider the formula

z Tri = \sqrt{({(\frac{P Tri}{2 \cdot d f(Δ)})}^{2}) - 1}

Next Step Substitute values of Variables

∴

z Tri = \sqrt{({(\frac{9.33m}{2 \cdot 3.33m})}^{2}) - 1}

Next Step Prepare to Evaluate

∴

z Tri = \sqrt{({(\frac{9.33}{2 \cdot 3.33})}^{2}) - 1}

Next Step Evaluate

∴

z Tri = 0.981082735626795

LAST Step Rounding Answer

∴

z Tri = 0.9811

Side Slope of Section given Wetted Perimeters Formula Elements

Variables

Functions

Side Slope of Triangular Channel

Side Slope of Triangular Channel is how far a channel drops over a horizontal distance.

Symbol: z_Tri

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Side Slope of Triangular Channel

Wetted Perimeter of Triangular Channel

Wetted Perimeter of Triangular Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

Symbol: P_Tri

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wetted Perimeter of Triangular Channel

Depth of Flow of Triangle Channel

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.

Symbol: d_f(Δ)

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Flow of Triangle Channel

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.

Syntax: sqrt(Number)

Other Formulas to find Side Slope of Triangular Channel

Go Side Slope of Section given Wetted Area

z Tri = \frac{A Tri}{d f(Δ) \cdot d f(Δ)}

Go Side Slope of Section given Hydraulic Radius

z Tri = \sqrt{\frac{4 \cdot ({R H(Δ)}^{2})}{({d f(Δ)}^{2}) - (4 \cdot {R H(Δ)}^{2})}}

Go Side Slope of Section given Top Width for Triangle

z Tri = \frac{T Tri}{2 \cdot d f(Δ)}

Go Side Slope of Section given Section Factor

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

Other formulas in Geometrical Properties of Triangular Channel Section category

Go Wetted Area for Triangular

A Tri = z Tri \cdot {d f(Δ)}^{2}

Go Depth of Flow given Wetted Area for Triangle

d f(Δ) = \sqrt{\frac{A Tri}{z Tri}}

Go Wetted Perimeter for Triangular Section

P Tri = 2 \cdot d f(Δ) \cdot (\sqrt{z Tri \cdot z Tri + 1})

Go Depth of Flow for Wetted Perimeter for Triangle

d f(Δ) = \frac{P Tri}{2 \cdot (\sqrt{{z Tri}^{2} + 1})}

How to Evaluate Side Slope of Section given Wetted Perimeters?

Side Slope of Section given Wetted Perimeters evaluator uses Side Slope of Triangular Channel = sqrt(((Wetted Perimeter of Triangular Channel/(2*Depth of Flow of Triangle Channel))^2)-1) to evaluate the Side Slope of Triangular Channel, The Side Slope of Section given Wetted Perimeters is defined as the slope of triangle section from vertical. Side Slope of Triangular Channel is denoted by z_Tri symbol.

How to evaluate Side Slope of Section given Wetted Perimeters using this online evaluator? To use this online evaluator for Side Slope of Section given Wetted Perimeters, enter Wetted Perimeter of Triangular Channel (P_Tri) & Depth of Flow of Triangle Channel (d_f(Δ)) and hit the calculate button.

FAQs on Side Slope of Section given Wetted Perimeters

What is the formula to find Side Slope of Section given Wetted Perimeters?

The formula of Side Slope of Section given Wetted Perimeters is expressed as Side Slope of Triangular Channel = sqrt(((Wetted Perimeter of Triangular Channel/(2*Depth of Flow of Triangle Channel))^2)-1). Here is an example- 0.981083 = sqrt(((9.33/(2*3.33))^2)-1).

How to calculate Side Slope of Section given Wetted Perimeters?

With Wetted Perimeter of Triangular Channel (P_Tri) & Depth of Flow of Triangle Channel (d_f(Δ)) we can find Side Slope of Section given Wetted Perimeters using the formula - Side Slope of Triangular Channel = sqrt(((Wetted Perimeter of Triangular Channel/(2*Depth of Flow of Triangle Channel))^2)-1). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Side Slope of Triangular Channel?

Here are the different ways to Calculate Side Slope of Triangular Channel-

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((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)

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