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

✖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%
✖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%

✖Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.ⓘ Width of Channel in Most Efficient Channel when Bottom width is kept constant [B_trap]

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Formula

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

Formula

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

Example

`"3.815137m"="3.3m"*((1-(("0.577")^2))/"0.577")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

B_trap = 3.81513743500867

STEP 3: Convert Result to Output's Unit

3.81513743500867 Meter --> No Conversion Required

FINAL ANSWER

3.81513743500867 ≈ 3.815137 Meter <-- Width of Trap Channel

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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NSS College of Engineering (NSSCE), Palakkad

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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 in Most Efficient Channel when Bottom width is kept constant Formula

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

What is Open Channel Flow?

Open-channel flow, a branch of hydraulics and fluid mechanics, is a type of liquid flow within a conduit or in channel with a free surface, known as a channel. The other type of flow within a conduit is pipe flow. These two types of flow are similar in many ways but differ in one important respect: the free surface.

How to Calculate Width of Channel in Most Efficient Channel when Bottom width is kept constant?

Width of Channel in Most Efficient Channel when Bottom width is kept constant calculator uses Width of Trap Channel = Depth of Flow*((1-(Side slope of Trapezoidal Channel^2))/Side slope of Trapezoidal Channel) to calculate the Width of Trap Channel, The Width of Channel in Most Efficient Channel when Bottom width is kept constant is defined as bottom width of channel in open channel flow. Width of Trap Channel is denoted by B_trap symbol.

How to calculate Width of Channel in Most Efficient Channel when Bottom width is kept constant using this online calculator? To use this online calculator for Width of Channel in Most Efficient Channel when Bottom width is kept constant, enter Depth of Flow (d_f) & Side slope of Trapezoidal Channel (z_trap) and hit the calculate button. Here is how the Width of Channel in Most Efficient Channel when Bottom width is kept constant calculation can be explained with given input values -> 3.815137 = 3.3*((1-(0.577^2))/0.577).

FAQ

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

The Width of Channel in Most Efficient Channel when Bottom width is kept constant is defined as bottom width of channel in open channel flow and is represented as B_trap = d_f*((1-(z_trap^2))/z_trap) or Width of Trap Channel = Depth of Flow*((1-(Side slope of Trapezoidal Channel^2))/Side slope of Trapezoidal Channel). 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 & Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.

How to calculate Width of Channel in Most Efficient Channel when Bottom width is kept constant?

The Width of Channel in Most Efficient Channel when Bottom width is kept constant is defined as bottom width of channel in open channel flow is calculated using Width of Trap Channel = Depth of Flow*((1-(Side slope of Trapezoidal Channel^2))/Side slope of Trapezoidal Channel). To calculate Width of Channel in Most Efficient Channel when Bottom width is kept constant, you need Depth of Flow (d_f) & Side slope of Trapezoidal Channel (z_trap). With our tool, you need to enter the respective value for Depth of Flow & 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 Width of Trap Channel?

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

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

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