Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope Calculator

✖Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.ⓘ Width of Trap Channel [B_trap]			+10% -10%
✖Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.ⓘ Side slope of Trapezoidal Channel [z_trap]			+10% -10%

✖Depth of Flow 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.ⓘ Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope [d_f]

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Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth of Flow = (Width of Trap Channel*0.5)/(sqrt((Side slope of Trapezoidal Channel^2)+1)-Side slope of Trapezoidal Channel)
d_f = (B_trap*0.5)/(sqrt((z_trap^2)+1)-z_trap)
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Depth of Flow - (Measured in Meter) - Depth of Flow 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.
Width of Trap Channel - (Measured in Meter) - Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.
Side slope of Trapezoidal Channel - Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.

STEP 1: Convert Input(s) to Base Unit

Width of Trap Channel: 3.8105 Meter --> 3.8105 Meter No Conversion Required
Side slope of Trapezoidal Channel: 0.577 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f = (B_trap*0.5)/(sqrt((z_trap^2)+1)-z_trap) --> (3.8105*0.5)/(sqrt((0.577^2)+1)-0.577)

Evaluating ... ...

d_f = 3.29898885148509

STEP 3: Convert Result to Output's Unit

3.29898885148509 Meter --> No Conversion Required

FINAL ANSWER

3.29898885148509 ≈ 3.298989 Meter <-- Depth of Flow

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Trapezoidal Section Calculators

Width of Channel given Depth of Flow in Efficient Channel

LaTeX Go Width of Trap Channel = (sqrt((Side slope of Trapezoidal Channel^2)+1))*2*Depth of Flow-2*Depth of Flow*Side slope of Trapezoidal Channel

Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope

LaTeX Go Depth of Flow = (Width of Trap Channel*0.5)/(sqrt((Side slope of Trapezoidal Channel^2)+1)-Side slope of Trapezoidal Channel)

Depth of Flow given Hydraulic Radius in Most Efficient Trapezoidal Channel

LaTeX Go Depth of Flow = Hydraulic Radius of Channel*2

Hydraulic Radius of Most Efficient Channel

LaTeX Go Hydraulic Radius of Channel = Depth of Flow/2

Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope Formula

LaTeX Go

Depth of Flow = (Width of Trap Channel*0.5)/(sqrt((Side slope of Trapezoidal Channel^2)+1)-Side slope of Trapezoidal Channel)
d_f = (B_trap*0.5)/(sqrt((z_trap^2)+1)-z_trap)

What is Depth of Flow?

Normal depth is the depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant. Note: Flow at normal depth in culverts often presents the highest average velocities and shallowest depths at that flow.

How to Calculate Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope?

Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope calculator uses Depth of Flow = (Width of Trap Channel*0.5)/(sqrt((Side slope of Trapezoidal Channel^2)+1)-Side slope of Trapezoidal Channel) to calculate the Depth of Flow, The Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope is defined as the amount of water present in channel at any point of flow. Depth of Flow is denoted by d_f symbol.

How to calculate Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope using this online calculator? To use this online calculator for Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope, enter Width of Trap Channel (B_trap) & Side slope of Trapezoidal Channel (z_trap) and hit the calculate button. Here is how the Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope calculation can be explained with given input values -> 3.298989 = (3.8105*0.5)/(sqrt((0.577^2)+1)-0.577).

FAQ

What is Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope?

The Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope is defined as the amount of water present in channel at any point of flow and is represented as d_f = (B_trap*0.5)/(sqrt((z_trap^2)+1)-z_trap) or Depth of Flow = (Width of Trap Channel*0.5)/(sqrt((Side slope of Trapezoidal Channel^2)+1)-Side slope of Trapezoidal Channel). Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration & Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.

How to calculate Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope?

The Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope is defined as the amount of water present in channel at any point of flow is calculated using Depth of Flow = (Width of Trap Channel*0.5)/(sqrt((Side slope of Trapezoidal Channel^2)+1)-Side slope of Trapezoidal Channel). To calculate Depth of Flow in most Efficient Channel in Trapezoidal Channel given Channel Slope, you need Width of Trap Channel (B_trap) & Side slope of Trapezoidal Channel (z_trap). With our tool, you need to enter the respective value for Width of Trap Channel & Side slope of Trapezoidal 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 Depth of Flow?

In this formula, Depth of Flow uses Width of Trap Channel & Side slope of Trapezoidal Channel. We can use 3 other way(s) to calculate the same, which is/are as follows -

Depth of Flow = Hydraulic Radius of Channel*2
Depth of Flow = Width of Trap Channel*Side slope of Trapezoidal Channel/(1-(Side slope of Trapezoidal Channel^2))
Depth of Flow = (Side slope of Trapezoidal Channel*Wetted Surface Area of Trapezoidal Channel)^(1/2)

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