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Hydraulic Mean Depth of Triangular Section Formula

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Hydraulic Mean Depth of Triangular Section or hydraulic radius is the ratio of area of flow to the wetted perimeter. It is represented by m. Check FAQs

H = \frac{y^{2} \cdot (θ + \cot (θ))}{2 \cdot y \cdot (θ + \cot (θ))}

H - Hydraulic Mean Depth of Triangular Section?y - Depth of Canal with Trapezoidal Cross Section?θ - Side Slope?

Hydraulic Mean Depth of Triangular Section Example

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Here is how the Hydraulic Mean Depth of Triangular Section equation looks like with Values.

Here is how the Hydraulic Mean Depth of Triangular Section equation looks like with Units.

Here is how the Hydraulic Mean Depth of Triangular Section equation looks like.

0.8175 = \frac{{1.635}^{2} \cdot (45 + \cot (45))}{2 \cdot 1.635 \cdot (45 + \cot (45))}

0.8175m = \frac{{1.635m}^{2} \cdot (45° + \cot (45°))}{2 \cdot 1.635m \cdot (45° + \cot (45°))}

0.8175 = \frac{{1.635}^{2} \cdot (45 + \cot (45))}{2 \cdot 1.635 \cdot (45 + \cot (45))}

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Hydraulic Mean Depth of Triangular Section Solution

Follow our step by step solution on how to calculate Hydraulic Mean Depth of Triangular Section?

FIRST Step Consider the formula

H = \frac{y^{2} \cdot (θ + \cot (θ))}{2 \cdot y \cdot (θ + \cot (θ))}

Next Step Substitute values of Variables

∴

H = \frac{{1.635m}^{2} \cdot (45° + \cot (45°))}{2 \cdot 1.635m \cdot (45° + \cot (45°))}

Next Step Convert Units

∴

H = \frac{{1.635m}^{2} \cdot (0.7854rad + \cot (0.7854rad))}{2 \cdot 1.635m \cdot (0.7854rad + \cot (0.7854rad))}

Next Step Prepare to Evaluate

∴

H = \frac{{1.635}^{2} \cdot (0.7854 + \cot (0.7854))}{2 \cdot 1.635 \cdot (0.7854 + \cot (0.7854))}

LAST Step Evaluate

∴

H = 0.8175m

Hydraulic Mean Depth of Triangular Section Formula Elements

Variables

Functions

Hydraulic Mean Depth of Triangular Section

Hydraulic Mean Depth of Triangular Section or hydraulic radius is the ratio of area of flow to the wetted perimeter. It is represented by m.

Symbol: H

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Mean Depth of Triangular Section

Depth of Canal with Trapezoidal Cross Section

Depth of canal with trapezoidal cross section.

Symbol: y

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Canal with Trapezoidal Cross Section

Side Slope

Side slope is the slope of the cut or fill expressed as the ratio of horizontal distance to vertical distance.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Side Slope

cot

Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle.

Syntax: cot(Angle)

Other formulas in Design of Lined Irrigation Channels category

Go Area of Triangular Channel Section for Small Discharges

A = y^{2} \cdot (θ + \cot (θ))

Go Area of Trapezoidal Channel Section for Smaller Discharge

A = (B \cdot y) + y^{2} \cdot (θ + \cot (θ))

Go Perimeter of Triangular Channel Section for Small Discharges

P = 2 \cdot y \cdot (θ + \cot (θ))

Go Perimeter of Trapezoidal Channel Section for Small Discharges

P = B + (2 \cdot y \cdot θ + 2 \cdot y \cdot \cot (θ))

How to Evaluate Hydraulic Mean Depth of Triangular Section?

Hydraulic Mean Depth of Triangular Section evaluator uses Hydraulic Mean Depth of Triangular Section = (Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)))/(2*Depth of Canal with Trapezoidal Cross Section*(Side Slope+cot(Side Slope))) to evaluate the Hydraulic Mean Depth of Triangular Section, The Hydraulic Mean Depth of Triangular Section formula is defined as the ratio of the area of flow to the wetted perimeter. It is represented by m. Hydraulic Mean Depth of Triangular Section is denoted by H symbol.

How to evaluate Hydraulic Mean Depth of Triangular Section using this online evaluator? To use this online evaluator for Hydraulic Mean Depth of Triangular Section, enter Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ) and hit the calculate button.

FAQs on Hydraulic Mean Depth of Triangular Section

What is the formula to find Hydraulic Mean Depth of Triangular Section?

The formula of Hydraulic Mean Depth of Triangular Section is expressed as Hydraulic Mean Depth of Triangular Section = (Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)))/(2*Depth of Canal with Trapezoidal Cross Section*(Side Slope+cot(Side Slope))). Here is an example- 0.8175 = (1.635^2*(0.785398163397301+cot(0.785398163397301)))/(2*1.635*(0.785398163397301+cot(0.785398163397301))).

How to calculate Hydraulic Mean Depth of Triangular Section?

With Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ) we can find Hydraulic Mean Depth of Triangular Section using the formula - Hydraulic Mean Depth of Triangular Section = (Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope)))/(2*Depth of Canal with Trapezoidal Cross Section*(Side Slope+cot(Side Slope))). This formula also uses Cotangent (cot) function(s).

Can the Hydraulic Mean Depth of Triangular Section be negative?

No, the Hydraulic Mean Depth of Triangular Section, measured in Length cannot be negative.

Which unit is used to measure Hydraulic Mean Depth of Triangular Section?

Hydraulic Mean Depth of Triangular Section is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hydraulic Mean Depth of Triangular Section can be measured.

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