Hydraulic Mean Depth of Triangular Section Calculator

✖Depth of canal with trapezoidal cross section.ⓘ Depth of Canal with Trapezoidal Cross Section [y]			+10% -10%
✖Side slope is the slope of the cut or fill expressed as the ratio of horizontal distance to vertical distance.ⓘ Side Slope [θ]			+10% -10%

✖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.ⓘ Hydraulic Mean Depth of Triangular Section [H]

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Formula

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Hydraulic Mean Depth of Triangular Section

Formula

`"H" = ("y"^2*("θ"+cot("θ")))/(2*"y"*("θ"+cot("θ")))`

Example

`"0.8175m"=(("1.635m")^2*("45°"+cot("45°")))/(2*"1.635m"*("45°"+cot("45°")))`

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Hydraulic Mean Depth of Triangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
H = (y^2*(θ+cot(θ)))/(2*y*(θ+cot(θ)))
This formula uses 1 Functions, 3 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

Variables Used

Hydraulic Mean Depth of Triangular Section - (Measured in Meter) - 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.
Depth of Canal with Trapezoidal Cross Section - (Measured in Meter) - Depth of canal with trapezoidal cross section.
Side Slope - (Measured in Radian) - Side slope is the slope of the cut or fill expressed as the ratio of horizontal distance to vertical distance.

STEP 1: Convert Input(s) to Base Unit

Depth of Canal with Trapezoidal Cross Section: 1.635 Meter --> 1.635 Meter No Conversion Required
Side Slope: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (y^2*(θ+cot(θ)))/(2*y*(θ+cot(θ))) --> (1.635^2*(0.785398163397301+cot(0.785398163397301)))/(2*1.635*(0.785398163397301+cot(0.785398163397301)))

Evaluating ... ...

H = 0.8175

STEP 3: Convert Result to Output's Unit

0.8175 Meter --> No Conversion Required

FINAL ANSWER

0.8175 Meter <-- Hydraulic Mean Depth of Triangular Section

(Calculation completed in 00.004 seconds)

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< 5 Design of Lined Irrigation Channels Calculators

Hydraulic Mean Depth of Triangular Section

Go 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)))

Perimeter of Trapezoidal Channel Section for Small Discharges

Go Perimeter of Channel = Bed Width of Channel+(2*Depth of Canal with Trapezoidal Cross Section*Side Slope+2*Depth of Canal with Trapezoidal Cross Section*cot(Side Slope))

Area of Trapezoidal Channel Section for Smaller Discharge

Go Area of Channel = (Bed Width of Channel*Depth of Canal with Trapezoidal Cross Section)+Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope))

Perimeter of Triangular Channel Section for Small Discharges

Go Perimeter of Channel = 2*Depth of Canal with Trapezoidal Cross Section*(Side Slope+cot(Side Slope))

Area of Triangular Channel Section for Small Discharges

Go Area of Channel = Depth of Canal with Trapezoidal Cross Section^2*(Side Slope+cot(Side Slope))

Hydraulic Mean Depth of Triangular Section Formula

What is Normal Hydraulic Depth?

Normal depth is the depth at which uniform flow will occur in an open channel. In other words, for a uniform channel of infinite length, carrying a constant flow rate, flow in the channel would be at a constant depth at all points along the channel, and this would be the normal depth.

Is Hydraulic Radius and Hydraulic Mean Depth same?

A high hydraulic radius value indicates that the channel contains a lower volume of contact fluid and a greater cross-sectional area. These conditions result in increased flow velocity and capacity, as well as improved channel efficiency. Another term sometimes used for this quantity is hydraulic mean depth.

How to Calculate Hydraulic Mean Depth of Triangular Section?

Hydraulic Mean Depth of Triangular Section calculator 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 calculate 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 calculate Hydraulic Mean Depth of Triangular Section using this online calculator? To use this online calculator for Hydraulic Mean Depth of Triangular Section, enter Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ) and hit the calculate button. Here is how the Hydraulic Mean Depth of Triangular Section calculation can be explained with given input values -> 0.8175 = (1.635^2*(0.785398163397301+cot(0.785398163397301)))/(2*1.635*(0.785398163397301+cot(0.785398163397301))).

FAQ

What is 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 and is represented as H = (y^2*(θ+cot(θ)))/(2*y*(θ+cot(θ))) or 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))). Depth of canal with trapezoidal cross section & Side slope is the slope of the cut or fill expressed as the ratio of horizontal distance to vertical distance.

How to calculate 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 is calculated using 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 calculate Hydraulic Mean Depth of Triangular Section, you need Depth of Canal with Trapezoidal Cross Section (y) & Side Slope (θ). With our tool, you need to enter the respective value for Depth of Canal with Trapezoidal Cross Section & Side Slope and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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