Wetted Area for Trapezoidal Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
STrap = (Btrap+ztrap*df(trap))*df(trap)
This formula uses 4 Variables
Variables Used
Wetted Surface Area of Trapezoidal Channel - (Measured in Square Meter) - Wetted Surface Area of Trapezoidal Channel [length^2] is the total area of outer surface in contact with the surrounding water.
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.
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.
STEP 1: Convert Input(s) to Base Unit
Width of Trap Channel: 3.8105 Meter --> 3.8105 Meter No Conversion Required
Side slope of Trapezoidal Channel: 0.577 --> No Conversion Required
Depth of Flow of Trapezoidal Channel: 3.32 Meter --> 3.32 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
STrap = (Btrap+ztrap*df(trap))*df(trap) --> (3.8105+0.577*3.32)*3.32
Evaluating ... ...
STrap = 19.0107848
STEP 3: Convert Result to Output's Unit
19.0107848 Square Meter --> No Conversion Required
FINAL ANSWER
19.0107848 19.01078 Square Meter <-- Wetted Surface Area of Trapezoidal Channel
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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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 Area for Trapezoidal Formula

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
STrap = (Btrap+ztrap*df(trap))*df(trap)

What is Trapezoidal Section?

Trapezoidal Channel is an open channel with a trapezoidal cross section where both sides have the same slope. The flow routing through a Channel Connection is described in Analysis of Connections. Parameters to specify: Length, Slope, Manning's n, Diameter/Base Width, Height, Side Slope.

How to Calculate Wetted Area for Trapezoidal?

Wetted Area for Trapezoidal calculator uses 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 to calculate the Wetted Surface Area of Trapezoidal Channel, The Wetted Area for Trapezoidal is defined as the area of section which is in contact with water in trapezoidal form in open channel flow. Wetted Surface Area of Trapezoidal Channel is denoted by STrap symbol.

How to calculate Wetted Area for Trapezoidal using this online calculator? To use this online calculator for Wetted Area for Trapezoidal, enter Width of Trap Channel (Btrap), Side slope of Trapezoidal Channel (ztrap) & Depth of Flow of Trapezoidal Channel (df(trap)) and hit the calculate button. Here is how the Wetted Area for Trapezoidal calculation can be explained with given input values -> 18.85818 = (3.8105+0.577*3.32)*3.32.

FAQ

What is Wetted Area for Trapezoidal?
The Wetted Area for Trapezoidal is defined as the area of section which is in contact with water in trapezoidal form in open channel flow and is represented as STrap = (Btrap+ztrap*df(trap))*df(trap) or 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 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 & 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.
How to calculate Wetted Area for Trapezoidal?
The Wetted Area for Trapezoidal is defined as the area of section which is in contact with water in trapezoidal form in open channel flow is calculated using 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. To calculate Wetted Area for Trapezoidal, you need Width of Trap Channel (Btrap), Side slope of Trapezoidal Channel (ztrap) & Depth of Flow of Trapezoidal Channel (df(trap)). With our tool, you need to enter the respective value for Width of Trap Channel, Side slope of Trapezoidal Channel & Depth of Flow 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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