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Width of Sections given Hydraulic Radius Formula

GoWidth of Section given Wetted Area for Trapezoidal Formula

GoWidth of Section given Wetted Perimeters in Section 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 = \frac{2 \cdot R H(Trap) \cdot d f(trap) \cdot \sqrt{{z trap}^{2} + 1} - z trap \cdot {d f(trap)}^{2}}{d f(trap) - R H(Trap)}

B_trap - Width of Trap Channel?R_H(Trap) - Hydraulic Radius of Trapezoidal Channel?d_f(trap) - Depth of Flow of Trapezoidal Channel?z_trap - Side slope of Trapezoidal Channel?

Width of Sections given Hydraulic Radius Example

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Here is how the Width of Sections given Hydraulic Radius equation looks like with Values.

Here is how the Width of Sections given Hydraulic Radius equation looks like with Units.

Here is how the Width of Sections given Hydraulic Radius equation looks like.

3.7659 = \frac{2 \cdot 1.65 \cdot 3.32 \cdot \sqrt{{0.577}^{2} + 1} - 0.577 \cdot {3.32}^{2}}{3.32 - 1.65}

3.7659m = \frac{2 \cdot 1.65m \cdot 3.32m \cdot \sqrt{{0.577}^{2} + 1} - 0.577 \cdot {3.32m}^{2}}{3.32m - 1.65m}

3.7659 = \frac{2 \cdot 1.65 \cdot 3.32 \cdot \sqrt{{0.577}^{2} + 1} - 0.577 \cdot {3.32}^{2}}{3.32 - 1.65}

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Width of Sections given Hydraulic Radius Solution

Follow our step by step solution on how to calculate Width of Sections given Hydraulic Radius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

B trap = \frac{2 \cdot 1.65m \cdot 3.32m \cdot \sqrt{{0.577}^{2} + 1} - 0.577 \cdot {3.32m}^{2}}{3.32m - 1.65m}

Next Step Prepare to Evaluate

∴

B trap = \frac{2 \cdot 1.65 \cdot 3.32 \cdot \sqrt{{0.577}^{2} + 1} - 0.577 \cdot {3.32}^{2}}{3.32 - 1.65}

Next Step Evaluate

∴

B trap = 3.76590177273188m

LAST Step Rounding Answer

∴

B trap = 3.7659m

Width of Sections given Hydraulic Radius 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

Hydraulic Radius of Trapezoidal Channel

Hydraulic Radius of Trapezoidal Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.

Symbol: R_H(Trap)

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Hydraulic Radius of Trapezoidal Channel

Depth of Flow of Trapezoidal Channel

Depth of Flow of Trapezoidal Channel 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(trap)

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Flow of Trapezoidal 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

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 Section given Wetted Area for Trapezoidal

B trap = (\frac{S Trap}{d f(trap)}) - (z trap \cdot d f(trap))

Go Width of Section given Wetted Perimeters in Section

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

Go Width of Section given Top Width

B trap = T Trap - 2 \cdot d f(trap) \cdot z trap

Go Width of Section given Hydraulic Depth

B trap = \frac{(d f(trap) \cdot z trap \cdot d f(trap)) - D Trap \cdot 2 \cdot d f(trap) \cdot z trap}{D Trap - d f(trap)}

Other formulas in Geometrical Properties of Trapezoidal Channel Section category

Go Wetted Area for Trapezoidal

S Trap = (B trap + z trap \cdot d f(trap)) \cdot d f(trap)

Go Side Slope of Section given Wetted Area of Trapezoidal

z trap = \frac{(\frac{S Trap}{d f(trap)}) - B trap}{d f(trap)}

Go Wetted Perimeter for Trapezoidal

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

Go Side Slope of Section given Perimeter

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

How to Evaluate Width of Sections given Hydraulic Radius?

Width of Sections given Hydraulic Radius evaluator uses Width of Trap Channel = (2*Hydraulic Radius of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel*sqrt(Side slope of Trapezoidal Channel^2+1)-Side slope of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel^2)/(Depth of Flow of Trapezoidal Channel-Hydraulic Radius of Trapezoidal Channel) to evaluate the Width of Trap Channel, The Width of Sections given Hydraulic Radius is defined as the width of channel measured perpendicular to the flow. Width of Trap Channel is denoted by B_trap symbol.

How to evaluate Width of Sections given Hydraulic Radius using this online evaluator? To use this online evaluator for Width of Sections given Hydraulic Radius, enter Hydraulic Radius of Trapezoidal Channel (R_H(Trap)), Depth of Flow of Trapezoidal Channel (d_f(trap)) & Side slope of Trapezoidal Channel (z_trap) and hit the calculate button.

FAQs on Width of Sections given Hydraulic Radius

What is the formula to find Width of Sections given Hydraulic Radius?

The formula of Width of Sections given Hydraulic Radius is expressed as Width of Trap Channel = (2*Hydraulic Radius of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel*sqrt(Side slope of Trapezoidal Channel^2+1)-Side slope of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel^2)/(Depth of Flow of Trapezoidal Channel-Hydraulic Radius of Trapezoidal Channel). Here is an example- 3.811668 = (2*1.65*3.32*sqrt(0.577^2+1)-0.577*3.32^2)/(3.32-1.65).

How to calculate Width of Sections given Hydraulic Radius?

With Hydraulic Radius of Trapezoidal Channel (R_H(Trap)), Depth of Flow of Trapezoidal Channel (d_f(trap)) & Side slope of Trapezoidal Channel (z_trap) we can find Width of Sections given Hydraulic Radius using the formula - Width of Trap Channel = (2*Hydraulic Radius of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel*sqrt(Side slope of Trapezoidal Channel^2+1)-Side slope of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel^2)/(Depth of Flow of Trapezoidal Channel-Hydraulic Radius 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=(Wetted Surface Area of Trapezoidal Channel/Depth of Flow of Trapezoidal Channel)-(Side slope of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel)
Width of Trap Channel=Wetted Perimeter of Trapezoidal Channel-2*Depth of Flow of Trapezoidal Channel*(sqrt(Side slope of Trapezoidal Channel*Side slope of Trapezoidal Channel+1))
Width of Trap Channel=Top Width of Trapezoidal Channel-2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel

Can the Width of Sections given Hydraulic Radius be negative?

Yes, the Width of Sections given Hydraulic Radius, measured in Length can be negative.

Which unit is used to measure Width of Sections given Hydraulic Radius?

Width of Sections given Hydraulic Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Width of Sections given Hydraulic Radius can be measured.

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Width of Sections given Hydraulic Radius Formula

​GoWidth of Section given Wetted Area for Trapezoidal Formula

​GoWidth of Section given Wetted Perimeters in Section Formula

Width of Sections given Hydraulic Radius Example

Width of Sections given Hydraulic Radius Solution

Width of Sections given Hydraulic Radius Formula Elements

Other Formulas to find Width of Trap Channel

Other formulas in Geometrical Properties of Trapezoidal Channel Section category

How to Evaluate Width of Sections given Hydraulic Radius?

FAQs on Width of Sections given Hydraulic Radius

Variable Name

GoWidth of Section given Wetted Area for Trapezoidal Formula

GoWidth of Section given Wetted Perimeters in Section Formula