Wetted Perimeter for Trapezoidal Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
PTrap = Btrap+2*df(trap)*(sqrt(ztrap*ztrap+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
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.
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.
STEP 1: Convert Input(s) to Base Unit
Width of Trap Channel: 3.8105 Meter --> 3.8105 Meter No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PTrap = Btrap+2*df(trap)*(sqrt(ztrap*ztrap+1)) --> 3.8105+2*3.32*(sqrt(0.577*0.577+1))
Evaluating ... ...
PTrap = 11.4765489457347
STEP 3: Convert Result to Output's Unit
11.4765489457347 Meter --> No Conversion Required
FINAL ANSWER
11.4765489457347 11.47655 Meter <-- Wetted Perimeter of Trapezoidal Channel
(Calculation completed in 00.004 seconds)

Credits

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

Wetted Perimeter for Trapezoidal Formula

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))
PTrap = Btrap+2*df(trap)*(sqrt(ztrap*ztrap+1))

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 Wetted Perimeter for Trapezoidal?

Wetted Perimeter for Trapezoidal calculator uses 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)) to calculate the Wetted Perimeter of Trapezoidal Channel, The Wetted Perimeter for Trapezoidal formula is defined as the amount of surface touching the water in the trapezoidal channel. Wetted Perimeter of Trapezoidal Channel is denoted by PTrap symbol.

How to calculate Wetted Perimeter for Trapezoidal using this online calculator? To use this online calculator for Wetted Perimeter for Trapezoidal, enter Width of Trap Channel (Btrap), Depth of Flow of Trapezoidal Channel (df(trap)) & Side slope of Trapezoidal Channel (ztrap) and hit the calculate button. Here is how the Wetted Perimeter for Trapezoidal calculation can be explained with given input values -> 11.43037 = 3.8105+2*3.32*(sqrt(0.577*0.577+1)).

FAQ

What is Wetted Perimeter for Trapezoidal?
The Wetted Perimeter for Trapezoidal formula is defined as the amount of surface touching the water in the trapezoidal channel and is represented as PTrap = Btrap+2*df(trap)*(sqrt(ztrap*ztrap+1)) or 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)). 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 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.
How to calculate Wetted Perimeter for Trapezoidal?
The Wetted Perimeter for Trapezoidal formula is defined as the amount of surface touching the water in the trapezoidal channel is calculated using 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)). To calculate Wetted Perimeter for Trapezoidal, you need Width of Trap Channel (Btrap), Depth of Flow of Trapezoidal Channel (df(trap)) & Side slope of Trapezoidal Channel (ztrap). With our tool, you need to enter the respective value for Width of Trap Channel, Depth of Flow of Trapezoidal 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.
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