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Width of Section given Hydraulic Depth 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{(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)}

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

Width of Section given Hydraulic Depth Example

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Here is how the Width of Section given Hydraulic Depth equation looks like with Values.

Here is how the Width of Section given Hydraulic Depth equation looks like with Units.

Here is how the Width of Section given Hydraulic Depth equation looks like.

3.651 = \frac{(3.32 \cdot 0.577 \cdot 3.32) - 2.47 \cdot 2 \cdot 3.32 \cdot 0.577}{2.47 - 3.32}

3.651m = \frac{(3.32m \cdot 0.577 \cdot 3.32m) - 2.47m \cdot 2 \cdot 3.32m \cdot 0.577}{2.47m - 3.32m}

3.651 = \frac{(3.32 \cdot 0.577 \cdot 3.32) - 2.47 \cdot 2 \cdot 3.32 \cdot 0.577}{2.47 - 3.32}

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Width of Section given Hydraulic Depth Solution

Follow our step by step solution on how to calculate Width of Section given Hydraulic Depth?

FIRST Step Consider the formula

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)}

Next Step Substitute values of Variables

∴

B trap = \frac{(3.32m \cdot 0.577 \cdot 3.32m) - 2.47m \cdot 2 \cdot 3.32m \cdot 0.577}{2.47m - 3.32m}

Next Step Prepare to Evaluate

∴

B trap = \frac{(3.32 \cdot 0.577 \cdot 3.32) - 2.47 \cdot 2 \cdot 3.32 \cdot 0.577}{2.47 - 3.32}

Next Step Evaluate

∴

B trap = 3.65098447058824m

LAST Step Rounding Answer

∴

B trap = 3.651m

Width of Section given Hydraulic Depth Formula Elements

Variables

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

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

Hydraulic Depth of Trapezoidal Channel

Hydraulic Depth of Trapezoidal Channel is defined as depth which in contact with water.

Symbol: D_Trap

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Hydraulic Depth of Trapezoidal Channel

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 Sections given Hydraulic Radius

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)}

Go Width of Section given Top Width

B trap = T Trap - 2 \cdot d f(trap) \cdot z 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 Section given Hydraulic Depth?

Width of Section given Hydraulic Depth evaluator uses Width of Trap Channel = ((Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel)-Hydraulic Depth of Trapezoidal Channel*2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel)/(Hydraulic Depth of Trapezoidal Channel-Depth of Flow of Trapezoidal Channel) to evaluate the Width of Trap Channel, The Width of Section given Hydraulic Depth is defined as the width of an open channel or river cross-section can be determined using the hydraulic depth, which is the ratio of flow area to wetted perimeter. Width of Trap Channel is denoted by B_trap symbol.

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

FAQs on Width of Section given Hydraulic Depth

What is the formula to find Width of Section given Hydraulic Depth?

The formula of Width of Section given Hydraulic Depth is expressed as Width of Trap Channel = ((Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel)-Hydraulic Depth of Trapezoidal Channel*2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel)/(Hydraulic Depth of Trapezoidal Channel-Depth of Flow of Trapezoidal Channel). Here is an example- 3.762318 = ((3.32*0.577*3.32)-2.47*2*3.32*0.577)/(2.47-3.32).

How to calculate Width of Section given Hydraulic Depth?

With Depth of Flow of Trapezoidal Channel (d_f(trap)), Side slope of Trapezoidal Channel (z_trap) & Hydraulic Depth of Trapezoidal Channel (D_Trap) we can find Width of Section given Hydraulic Depth using the formula - Width of Trap Channel = ((Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel)-Hydraulic Depth of Trapezoidal Channel*2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel)/(Hydraulic Depth of Trapezoidal Channel-Depth of Flow of Trapezoidal Channel).

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=(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)

Can the Width of Section given Hydraulic Depth be negative?

Yes, the Width of Section given Hydraulic Depth, measured in Length can be negative.

Which unit is used to measure Width of Section given Hydraulic Depth?

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

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Width of Section given Hydraulic Depth Formula

​GoWidth of Section given Wetted Area for Trapezoidal Formula

​GoWidth of Section given Wetted Perimeters in Section Formula

Width of Section given Hydraulic Depth Example

Width of Section given Hydraulic Depth Solution

Width of Section given Hydraulic Depth 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 Section given Hydraulic Depth?

FAQs on Width of Section given Hydraulic Depth

Variable Name

GoWidth of Section given Wetted Area for Trapezoidal Formula

GoWidth of Section given Wetted Perimeters in Section Formula