Width of Section given Wetted Perimeters in Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Btrap = PTrap-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
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 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.
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 Perimeter of Trapezoidal Channel: 11.43 Meter --> 11.43 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 = PTrap-2*df(trap)*(sqrt(ztrap*ztrap+1)) --> 11.43-2*3.32*(sqrt(0.577*0.577+1))
Evaluating ... ...
Btrap = 3.76395105426531
STEP 3: Convert Result to Output's Unit
3.76395105426531 Meter --> No Conversion Required
FINAL ANSWER
3.76395105426531 3.763951 Meter <-- Width of Trap Channel
(Calculation completed in 00.004 seconds)

Credits

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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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Geometrical Properties of Trapezoidal Channel Section Calculators

Wetted Perimeter for Trapezoidal
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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

Width of Section given Wetted Perimeters in Section Formula

​LaTeX ​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))
Btrap = PTrap-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 Width of Section given Wetted Perimeters in Section?

Width of Section given Wetted Perimeters in Section calculator uses 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)) to calculate the Width of Trap Channel, The Width of Section given Wetted Perimeters in Section is defined as the channel width measured in direction perpendicular to flow. Width of Trap Channel is denoted by Btrap symbol.

How to calculate Width of Section given Wetted Perimeters in Section using this online calculator? To use this online calculator for Width of Section given Wetted Perimeters in Section, enter Wetted Perimeter of Trapezoidal Channel (PTrap), 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 Perimeters in Section calculation can be explained with given input values -> 3.810132 = 11.43-2*3.32*(sqrt(0.577*0.577+1)).

FAQ

What is Width of Section given Wetted Perimeters in Section?
The Width of Section given Wetted Perimeters in Section is defined as the channel width measured in direction perpendicular to flow and is represented as Btrap = PTrap-2*df(trap)*(sqrt(ztrap*ztrap+1)) or 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 of Trapezoidal Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body, 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 Perimeters in Section?
The Width of Section given Wetted Perimeters in Section is defined as the channel width measured in direction perpendicular to flow is calculated using 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)). To calculate Width of Section given Wetted Perimeters in Section, you need Wetted Perimeter of Trapezoidal Channel (PTrap), 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 Perimeter 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 Perimeter of Trapezoidal Channel, Depth of Flow of Trapezoidal Channel & Side slope of Trapezoidal Channel. We can use 3 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 = (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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