Width of Section given Wetted Area for Trapezoidal Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
Btrap = (STrap/df(trap))-(ztrap*df(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.
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.
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
Wetted Surface Area of Trapezoidal Channel: 18.86 Square Meter --> 18.86 Square 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
Btrap = (STrap/df(trap))-(ztrap*df(trap)) --> (18.86/3.32)-(0.577*3.32)
Evaluating ... ...
Btrap = 3.76508289156627
STEP 3: Convert Result to Output's Unit
3.76508289156627 Meter --> No Conversion Required
FINAL ANSWER
3.76508289156627 3.765083 Meter <-- Width of Trap Channel
(Calculation completed in 00.020 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

Width of Section given Wetted Area for Trapezoidal Formula

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)
Btrap = (STrap/df(trap))-(ztrap*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 Width of Section given Wetted Area for Trapezoidal?

Width of Section given Wetted Area for Trapezoidal calculator uses 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) to calculate the Width of Trap Channel, The Width of Section given Wetted Area for Trapezoidal is defined as the sectional width in direction perpendicular to the flow measured from sides. Width of Trap Channel is denoted by Btrap symbol.

How to calculate Width of Section given Wetted Area for Trapezoidal using this online calculator? To use this online calculator for Width of Section given Wetted Area for Trapezoidal, enter Wetted Surface Area of Trapezoidal Channel (STrap), Depth of Flow of Trapezoidal Channel (df(trap)) & Side slope of Trapezoidal Channel (ztrap) and hit the calculate button. Here is how the Width of Section given Wetted Area for Trapezoidal calculation can be explained with given input values -> 3.811052 = (18.86/3.32)-(0.577*3.32).

FAQ

What is Width of Section given Wetted Area for Trapezoidal?
The Width of Section given Wetted Area for Trapezoidal is defined as the sectional width in direction perpendicular to the flow measured from sides and is represented as Btrap = (STrap/df(trap))-(ztrap*df(trap)) or 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 Surface Area of Trapezoidal Channel [length^2] is the total area of outer surface in contact with the surrounding water, 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 Width of Section given Wetted Area for Trapezoidal?
The Width of Section given Wetted Area for Trapezoidal is defined as the sectional width in direction perpendicular to the flow measured from sides is calculated using 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). To calculate Width of Section given Wetted Area for Trapezoidal, you need Wetted Surface Area of Trapezoidal Channel (STrap), 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 Wetted Surface Area of Trapezoidal 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.
How many ways are there to calculate Width of Trap Channel?
In this formula, Width of Trap Channel uses Wetted Surface Area of Trapezoidal Channel, Depth of Flow of Trapezoidal Channel & Side slope of Trapezoidal Channel. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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
  • 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)
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