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Width of Section given Hydraulic Depth Calculator

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✖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.ⓘ Depth of Flow of Trapezoidal Channel [d_f(trap)]			+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%
✖Hydraulic Depth of Trapezoidal Channel is defined as depth which in contact with water.ⓘ Hydraulic Depth of Trapezoidal Channel [D_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 Section given Hydraulic Depth [B_trap]

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Width of Section given Hydraulic Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
B_trap = ((d_f(trap)*z_trap*d_f(trap))-D_Trap*2*d_f(trap)*z_trap)/(D_Trap-d_f(trap))
This formula uses 4 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 of Trapezoidal Channel - (Measured in Meter) - 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.
Side slope of Trapezoidal Channel - Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.
Hydraulic Depth of Trapezoidal Channel - (Measured in Meter) - Hydraulic Depth of Trapezoidal Channel is defined as depth which in contact with water.

STEP 1: Convert Input(s) to Base Unit

Depth of Flow of Trapezoidal Channel: 3.32 Meter --> 3.32 Meter No Conversion Required
Side slope of Trapezoidal Channel: 0.577 --> No Conversion Required
Hydraulic Depth of Trapezoidal Channel: 2.47 Meter --> 2.47 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B_trap = ((d_f(trap)*z_trap*d_f(trap))-D_Trap*2*d_f(trap)*z_trap)/(D_Trap-d_f(trap)) --> ((3.32*0.577*3.32)-2.47*2*3.32*0.577)/(2.47-3.32)

Evaluating ... ...

B_trap = 3.65098447058824

STEP 3: Convert Result to Output's Unit

3.65098447058824 Meter --> No Conversion Required

FINAL ANSWER

3.65098447058824 ≈ 3.650984 Meter <-- Width of Trap Channel

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Geometrical Properties of Channel Section » Geometrical Properties of Trapezoidal Channel Section » Width of Section given Hydraulic Depth

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< Geometrical Properties of Trapezoidal Channel Section Calculators

Wetted Perimeter for Trapezoidal

LaTeX Go Wetted Perimeter of Trapezoidal Channel = Width of Trap Channel+2*Depth of Flow of Trapezoidal Channel*(sqrt(Side slope of Trapezoidal Channel*Side slope of Trapezoidal Channel+1))

Side Slope of Section given Wetted Area of Trapezoidal

LaTeX Go Side slope of Trapezoidal Channel = ((Wetted Surface Area of Trapezoidal Channel/Depth of Flow of Trapezoidal Channel)-Width of Trap Channel)/Depth of Flow of Trapezoidal Channel

Width of Section given Wetted Area for Trapezoidal

LaTeX Go 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)

Wetted Area for Trapezoidal

LaTeX Go Wetted Surface Area of Trapezoidal Channel = (Width of Trap Channel+Side slope of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel)*Depth of Flow of Trapezoidal Channel

Width of Section given Hydraulic Depth Formula

LaTeX Go

What is Hydraulic Depth?

The cross section of water flowing through a channel or pipe divided by the wetted perimeter of the conduit.

How to Calculate Width of Section given Hydraulic Depth?

Width of Section given Hydraulic Depth calculator 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 calculate 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 calculate Width of Section given Hydraulic Depth using this online calculator? To use this online calculator 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. Here is how the Width of Section given Hydraulic Depth calculation can be explained with given input values -> 3.762318 = ((3.32*0.577*3.32)-2.47*2*3.32*0.577)/(2.47-3.32).

FAQ

What is Width of Section given Hydraulic Depth?

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 and is represented as B_trap = ((d_f(trap)*z_trap*d_f(trap))-D_Trap*2*d_f(trap)*z_trap)/(D_Trap-d_f(trap)) or 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). 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, Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio & Hydraulic Depth of Trapezoidal Channel is defined as depth which in contact with water.

How to calculate Width of Section given Hydraulic Depth?

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 is calculated using 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 calculate Width of Section given Hydraulic Depth, you need Depth of Flow of Trapezoidal Channel (d_f(trap)), Side slope of Trapezoidal Channel (z_trap) & Hydraulic Depth of Trapezoidal Channel (D_Trap). With our tool, you need to enter the respective value for Depth of Flow of Trapezoidal Channel, Side slope of Trapezoidal Channel & Hydraulic Depth 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 of Trapezoidal Channel, Side slope of Trapezoidal Channel & Hydraulic Depth of Trapezoidal Channel. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

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