Width of Section given Hydraulic Depth Calculator

✖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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Formula

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Width of Section given Hydraulic Depth

Formula

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

Example

`"3.650984m"=(("3.32m"*"0.577"*"3.32m")-"2.47m"*2*"3.32m"*"0.577")/("2.47m"-"3.32m")`

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Download Geometrical Properties of Trapezoidal Channel Section Formulas PDF

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 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 17 Geometrical Properties of Trapezoidal Channel Section Calculators

Width of Section given Hydraulic Depth

Go 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)

Width of Sections given Hydraulic Radius

Go 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)

Hydraulic Radius of Section

Go Hydraulic Radius 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 Trap Channel+2*Depth of Flow of Trapezoidal Channel*sqrt(Side slope of Trapezoidal Channel^2+1))

Section Factor for Trapezoidal

Go Section Factor of Trapezoidal = ((((Width of Trap Channel+Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel)*Depth of Flow of Trapezoidal Channel))^1.5)/(sqrt(Width of Trap Channel+2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel))

Side Slope of Section given Hydraulic Depth

Go Side slope of Trapezoidal Channel = (Width of Trap Channel*Depth of Flow of Trapezoidal Channel-Width of Trap Channel*Hydraulic Depth of Trapezoidal Channel)/(2*Hydraulic Depth of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel-(Depth of Flow of Trapezoidal Channel)^2)

Hydraulic Depth for Trapezoidal

Go Hydraulic Depth of Trapezoidal Channel = ((Width of Trap Channel+Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel)*Depth of Flow of Trapezoidal Channel)/(Width of Trap Channel+2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel)

Depth of Flow given Wetted Perimeter for Trapezoidal

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

Width of Section given Wetted Perimeters in Section

Go 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))

Wetted Perimeter for Trapezoidal

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

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

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

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

Side Slope of Section given Perimeter

Go Side slope of Trapezoidal Channel = sqrt((((Wetted Perimeter of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel))^2)-1)

Side Slope of Section given Top Width for Trapezoidal

Go Side slope of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel)

Depth of Flow given Top Width for Trapezoidal

Go Depth of Flow of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Side slope of Trapezoidal Channel)

Width of Section given Top Width

Go Width of Trap Channel = Top Width of Trapezoidal Channel-2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel

Top Width for Trapezoidal

Go Top Width of Trapezoidal Channel = Width of Trap Channel+2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel

Width of Section given Hydraulic Depth Formula

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 4 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)
Width of Trap Channel = Top Width of Trapezoidal Channel-2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel

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