Width of Channel given Depth of Flow in Efficient Channel Calculator

✖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 [d_f]			+10% -10%

✖Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.ⓘ Width of Channel given Depth of Flow in Efficient Channel [B_trap]

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Formula

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Width of Channel given Depth of Flow in Efficient Channel

Formula

`"B"_{"trap"} = (sqrt(("z"_{"trap"}^2)+1))*2*"d"_{"f"}-2*"d"_{"f"}*"z"_{"trap"}`

Example

`"3.811668m"=(sqrt((("0.577")^2)+1))*2*"3.3m"-2*"3.3m"*"0.577"`

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Width of Channel given Depth of Flow in Efficient Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
B_trap = (sqrt((z_trap^2)+1))*2*d_f-2*d_f*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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Side slope of Trapezoidal Channel: 0.577 --> No Conversion Required
Depth of Flow: 3.3 Meter --> 3.3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_trap = (sqrt((z_trap^2)+1))*2*d_f-2*d_f*z_trap --> (sqrt((0.577^2)+1))*2*3.3-2*3.3*0.577

Evaluating ... ...

B_trap = 3.8116679279893

STEP 3: Convert Result to Output's Unit

3.8116679279893 Meter --> No Conversion Required

FINAL ANSWER

3.8116679279893 ≈ 3.811668 Meter <-- Width of Trap Channel

(Calculation completed in 00.004 seconds)

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< 13 Trapezoidal Section Calculators

Width of Channel given Depth of Flow in Efficient Channel

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

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

Width of Channel in Most Efficient Channel when Bottom width is kept constant

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

Depth of Flow when Width of Channel in Most Efficient Channel for Bottom Width is kept Constant

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

Side Slope of Section given Wetted Area for Bottom Width is kept Constant

Go Side slope of Trapezoidal Channel = Depth of Flow*Depth of Flow/Wetted Surface Area of Trapezoidal Channel

Wetted Area in Most Efficient Channel for Bottom Width is kept Constant

Go Wetted Surface Area of Trapezoidal Channel = Depth of Flow*Depth of Flow/Side slope of Trapezoidal Channel

Side Slope of Section for Depth of Flow is kept Constant

Go Side slope of Trapezoidal Channel = 1/sqrt(3)*Depth of Flow/Depth of Flow

Depth of Flow given Wetted Area in Most Efficient Channel for Bottom Width is kept Constant

Go Depth of Flow = (Side slope of Trapezoidal Channel*Wetted Surface Area of Trapezoidal Channel)^(1/2)

Depth of Flow in most Efficient Channel in Trapezoidal Channel

Go Depth of Flow = Width of Trap Channel/(2/sqrt(3))

Width of Channel in most Efficient Channel sections

Go Width of Trap Channel = (2/sqrt(3))*Depth of Flow

Width of Channel in most Efficient Channels section

Go Width of Trap Channel = (2/sqrt(3))*Depth of Flow

Depth of Flow given Hydraulic Radius in Most Efficient Trapezoidal Channel

Go Depth of Flow = Hydraulic Radius of Channel*2

Hydraulic Radius of Most Efficient Channel

Go Hydraulic Radius of Channel = Depth of Flow/2

Width of Channel given Depth of Flow in Efficient Channel Formula

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
B_trap = (sqrt((z_trap^2)+1))*2*d_f-2*d_f*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 Width of Channel given Depth of Flow in Efficient Channel?

Width of Channel given Depth of Flow in Efficient Channel calculator uses 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 to calculate the Width of Trap Channel, The Width of Channel given Depth of Flow in Efficient Channel is defined as the length of top width in direction perpendicular to flow. Width of Trap Channel is denoted by B_trap symbol.

How to calculate Width of Channel given Depth of Flow in Efficient Channel using this online calculator? To use this online calculator for Width of Channel given Depth of Flow in Efficient Channel, enter Side slope of Trapezoidal Channel (z_trap) & Depth of Flow (d_f) and hit the calculate button. Here is how the Width of Channel given Depth of Flow in Efficient Channel calculation can be explained with given input values -> 3.811668 = (sqrt((0.577^2)+1))*2*3.3-2*3.3*0.577.

FAQ

What is Width of Channel given Depth of Flow in Efficient Channel?

The Width of Channel given Depth of Flow in Efficient Channel is defined as the length of top width in direction perpendicular to flow and is represented as B_trap = (sqrt((z_trap^2)+1))*2*d_f-2*d_f*z_trap or 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. Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio & 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.

How to calculate Width of Channel given Depth of Flow in Efficient Channel?

The Width of Channel given Depth of Flow in Efficient Channel is defined as the length of top width in direction perpendicular to flow is calculated using 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. To calculate Width of Channel given Depth of Flow in Efficient Channel, you need Side slope of Trapezoidal Channel (z_trap) & Depth of Flow (d_f). With our tool, you need to enter the respective value for Side slope of Trapezoidal Channel & Depth of Flow 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 Width of Trap Channel?

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

Width of Trap Channel = Depth of Flow*((1-(Side slope of Trapezoidal Channel^2))/Side slope of Trapezoidal Channel)
Width of Trap Channel = (2/sqrt(3))*Depth of Flow
Width of Trap Channel = (2/sqrt(3))*Depth of Flow

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