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Side Slope of Section given Hydraulic Radius Formula

GoSide Slope of Section given Wetted Area Formula

GoSide Slope of Section given Wetted Perimeters 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{4 \cdot ({R H(Δ)}^{2})}{({d f(Δ)}^{2}) - (4 \cdot {R H(Δ)}^{2})}}

z_Tri - Side Slope of Triangular Channel?R_H(Δ) - Hydraulic Radius of Triangular Channel?d_f(Δ) - Depth of Flow of Triangle Channel?

Side Slope of Section given Hydraulic Radius Example

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Here is how the Side Slope of Section given Hydraulic Radius equation looks like with Values.

Here is how the Side Slope of Section given Hydraulic Radius equation looks like with Units.

Here is how the Side Slope of Section given Hydraulic Radius equation looks like.

0.9827 = \sqrt{\frac{4 \cdot ({1.167}^{2})}{({3.33}^{2}) - (4 \cdot {1.167}^{2})}}

0.9827 = \sqrt{\frac{4 \cdot ({1.167m}^{2})}{({3.33m}^{2}) - (4 \cdot {1.167m}^{2})}}

0.9827 = \sqrt{\frac{4 \cdot ({1.167}^{2})}{({3.33}^{2}) - (4 \cdot {1.167}^{2})}}

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Side Slope of Section given Hydraulic Radius Solution

Follow our step by step solution on how to calculate Side Slope of Section given Hydraulic Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

z Tri = \sqrt{\frac{4 \cdot ({1.167m}^{2})}{({3.33m}^{2}) - (4 \cdot {1.167m}^{2})}}

Next Step Prepare to Evaluate

∴

z Tri = \sqrt{\frac{4 \cdot ({1.167}^{2})}{({3.33}^{2}) - (4 \cdot {1.167}^{2})}}

Next Step Evaluate

∴

z Tri = 0.982674214271816

LAST Step Rounding Answer

∴

z Tri = 0.9827

Side Slope of Section given Hydraulic Radius 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

Hydraulic Radius of Triangular Channel

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.

Symbol: R_H(Δ)

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Hydraulic Radius 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 Wetted Perimeters

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

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 Hydraulic Radius?

Side Slope of Section given Hydraulic Radius evaluator 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 evaluate 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 evaluate Side Slope of Section given Hydraulic Radius using this online evaluator? To use this online evaluator 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.

FAQs on Side Slope of Section given Hydraulic Radius

What is the formula to find Side Slope of Section given Hydraulic Radius?

The formula of Side Slope of Section given Hydraulic Radius is expressed as 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))). Here is an example- 0.982674 = sqrt((4*(1.167^2))/((3.33^2)-(4*1.167^2))).

How to calculate Side Slope of Section given Hydraulic Radius?

With Hydraulic Radius of Triangular Channel (R_H(Δ)) & Depth of Flow of Triangle Channel (d_f(Δ)) we can find Side Slope of Section given Hydraulic Radius using the formula - 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))). 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(((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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