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Width of Channel given Depth of Flow in Efficient Channel Formula

GoWidth of Channel in Most Efficient Channel when Bottom width is kept constant Formula

GoWidth of Channel in most Efficient Channel sections Formula

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Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration. Check FAQs

B trap = (\sqrt{({z trap}^{2}) + 1}) \cdot 2 \cdot d f - 2 \cdot d f \cdot z trap

B_trap - Width of Trap Channel?z_trap - Side slope of Trapezoidal Channel?d_f - Depth of Flow?

Width of Channel given Depth of Flow in Efficient Channel Example

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Here is how the Width of Channel given Depth of Flow in Efficient Channel equation looks like with Values.

Here is how the Width of Channel given Depth of Flow in Efficient Channel equation looks like with Units.

Here is how the Width of Channel given Depth of Flow in Efficient Channel equation looks like.

3.8117 = (\sqrt{({0.577}^{2}) + 1}) \cdot 2 \cdot 3.3 - 2 \cdot 3.3 \cdot 0.577

3.8117m = (\sqrt{({0.577}^{2}) + 1}) \cdot 2 \cdot 3.3m - 2 \cdot 3.3m \cdot 0.577

3.8117 = (\sqrt{({0.577}^{2}) + 1}) \cdot 2 \cdot 3.3 - 2 \cdot 3.3 \cdot 0.577

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Width of Channel given Depth of Flow in Efficient Channel Solution

Follow our step by step solution on how to calculate Width of Channel given Depth of Flow in Efficient Channel?

FIRST Step Consider the formula

B trap = (\sqrt{({z trap}^{2}) + 1}) \cdot 2 \cdot d f - 2 \cdot d f \cdot z trap

Next Step Substitute values of Variables

∴

B trap = (\sqrt{({0.577}^{2}) + 1}) \cdot 2 \cdot 3.3m - 2 \cdot 3.3m \cdot 0.577

Next Step Prepare to Evaluate

∴

B trap = (\sqrt{({0.577}^{2}) + 1}) \cdot 2 \cdot 3.3 - 2 \cdot 3.3 \cdot 0.577

Next Step Evaluate

∴

B trap = 3.8116679279893m

LAST Step Rounding Answer

∴

B trap = 3.8117m

Width of Channel given Depth of Flow in Efficient Channel Formula Elements

Variables

Functions

Width of Trap Channel

Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.

Symbol: B_trap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Trap Channel

Side slope of Trapezoidal Channel

Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.

Symbol: z_trap

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Side slope of Trapezoidal Channel

Depth of Flow

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.

Symbol: d_f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Flow

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.

Syntax: sqrt(Number)

Other Formulas to find Width of Trap Channel

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

B trap = d f \cdot (\frac{1 - ({z trap}^{2})}{z trap})

Go Width of Channel in most Efficient Channel sections

B trap = (\frac{2}{\sqrt{3}}) \cdot d f

Go Width of Channel in most Efficient Channels section

B trap = (\frac{2}{\sqrt{3}}) \cdot d f

Other formulas in Trapezoidal Section category

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

d f = \frac{B trap \cdot 0.5}{\sqrt{({z trap}^{2}) + 1} - z trap}

Go Hydraulic Radius of Most Efficient Channel

R H = \frac{d f}{2}

Go Depth of Flow given Hydraulic Radius in Most Efficient Trapezoidal Channel

d f = R H \cdot 2

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

d f = B trap \cdot \frac{z trap}{1 - ({z trap}^{2})}

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

Width of Channel given Depth of Flow in Efficient Channel evaluator 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 evaluate 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 evaluate Width of Channel given Depth of Flow in Efficient Channel using this online evaluator? To use this online evaluator 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.

FAQs on Width of Channel given Depth of Flow in Efficient Channel

What is the formula to find Width of Channel given Depth of Flow in Efficient Channel?

The formula of Width of Channel given Depth of Flow in Efficient Channel is expressed as 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. Here is an example- 3.811668 = (sqrt((0.577^2)+1))*2*3.3-2*3.3*0.577.

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

With Side slope of Trapezoidal Channel (z_trap) & Depth of Flow (d_f) we can find Width of Channel given Depth of Flow in Efficient Channel using the 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. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Width of Trap Channel?

Here are the different ways to Calculate Width of Trap Channel-

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

Can the Width of Channel given Depth of Flow in Efficient Channel be negative?

Yes, the Width of Channel given Depth of Flow in Efficient Channel, measured in Length can be negative.

Which unit is used to measure Width of Channel given Depth of Flow in Efficient Channel?

Width of Channel given Depth of Flow in Efficient Channel is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Width of Channel given Depth of Flow in Efficient Channel can be measured.

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