Depth of Flow given Wetted Perimeter for Trapezoidal Calculator

✖Wetted Perimeter of Trapezoidal Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter of Trapezoidal Channel [P_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 Trap Channel [B_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%

✖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 given Wetted Perimeter for Trapezoidal [d_f(trap)]

⎘ Copy

👎

Formula

✖

Depth of Flow given Wetted Perimeter for Trapezoidal

Formula

`"d"_{"f(trap)"} = ("P"_{"Trap"}-"B"_{"trap"})/(2*(sqrt("z"_{"trap"}*"z"_{"trap"}+1)))`

Example

`"3.299841m"=("11.43m"-"3.8105m")/(2*(sqrt("0.577"*"0.577"+1)))`

Calculator

LaTeX

Reset

👍

Download Geometrical Properties of Trapezoidal Channel Section Formulas PDF

Depth of Flow given Wetted Perimeter for Trapezoidal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
d_f(trap) = (P_Trap-B_trap)/(2*(sqrt(z_trap*z_trap+1)))
This formula uses 1 Functions, 4 Variables

Functions Used

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., sqrt(Number)

Variables Used

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.
Wetted Perimeter of Trapezoidal Channel - (Measured in Meter) - Wetted Perimeter of Trapezoidal Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.
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.
Side slope of Trapezoidal Channel - Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.

STEP 1: Convert Input(s) to Base Unit

Wetted Perimeter of Trapezoidal Channel: 11.43 Meter --> 11.43 Meter No Conversion Required
Width of Trap Channel: 3.8105 Meter --> 3.8105 Meter No Conversion Required
Side slope of Trapezoidal Channel: 0.577 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_f(trap) = (P_Trap-B_trap)/(2*(sqrt(z_trap*z_trap+1))) --> (11.43-3.8105)/(2*(sqrt(0.577*0.577+1)))

Evaluating ... ...

d_f(trap) = 3.29984065834524

STEP 3: Convert Result to Output's Unit

3.29984065834524 Meter --> No Conversion Required

FINAL ANSWER

3.29984065834524 ≈ 3.299841 Meter <-- Depth of Flow of Trapezoidal Channel

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Geometrical Properties of Channel Section » Geometrical Properties of Trapezoidal Channel Section » Depth of Flow given Wetted Perimeter for Trapezoidal

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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

Depth of Flow given Wetted Perimeter for Trapezoidal Formula

What is Wetted Perimeter?

The wetted perimeter is the perimeter of the cross sectional area that is "wet". The length of line of the intersection of channel wetted surface with a cross sectional plane normal to the flow direction.

How to Calculate Depth of Flow given Wetted Perimeter for Trapezoidal?

Depth of Flow given Wetted Perimeter for Trapezoidal calculator uses 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))) to calculate the Depth of Flow of Trapezoidal Channel, The Depth of Flow given Wetted Perimeter for Trapezoidal is defined as the amount of water in section measured from base. Depth of Flow of Trapezoidal Channel is denoted by d_f(trap) symbol.

How to calculate Depth of Flow given Wetted Perimeter for Trapezoidal using this online calculator? To use this online calculator for Depth of Flow given Wetted Perimeter for Trapezoidal, enter Wetted Perimeter of Trapezoidal Channel (P_Trap), Width of Trap Channel (B_trap) & Side slope of Trapezoidal Channel (z_trap) and hit the calculate button. Here is how the Depth of Flow given Wetted Perimeter for Trapezoidal calculation can be explained with given input values -> 3.299841 = (11.43-3.8105)/(2*(sqrt(0.577*0.577+1))).

FAQ

What is Depth of Flow given Wetted Perimeter for Trapezoidal?

The Depth of Flow given Wetted Perimeter for Trapezoidal is defined as the amount of water in section measured from base and is represented as d_f(trap) = (P_Trap-B_trap)/(2*(sqrt(z_trap*z_trap+1))) or 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))). Wetted Perimeter of Trapezoidal Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body, Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration & Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.

How to calculate Depth of Flow given Wetted Perimeter for Trapezoidal?

The Depth of Flow given Wetted Perimeter for Trapezoidal is defined as the amount of water in section measured from base is calculated using 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))). To calculate Depth of Flow given Wetted Perimeter for Trapezoidal, you need Wetted Perimeter of Trapezoidal Channel (P_Trap), Width of Trap Channel (B_trap) & Side slope of Trapezoidal Channel (z_trap). With our tool, you need to enter the respective value for Wetted Perimeter of Trapezoidal Channel, Width of Trap Channel & Side slope 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 Depth of Flow of Trapezoidal Channel?

In this formula, Depth of Flow of Trapezoidal Channel uses Wetted Perimeter of Trapezoidal Channel, Width of Trap Channel & Side slope of Trapezoidal Channel. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search