Depth of Flow given Top Width for Trapezoidal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Depth of Flow of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Side slope of Trapezoidal Channel)
df(trap) = (TTrap-Btrap)/(2*ztrap)
This formula uses 4 Variables
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.
Top Width of Trapezoidal Channel - (Measured in Meter) - Top Width of Trapezoidal Channel is defined as width at top of section.
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
Top Width of Trapezoidal Channel: 7.62 Meter --> 7.62 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
df(trap) = (TTrap-Btrap)/(2*ztrap) --> (7.62-3.8105)/(2*0.577)
Evaluating ... ...
df(trap) = 3.30112651646447
STEP 3: Convert Result to Output's Unit
3.30112651646447 Meter --> No Conversion Required
FINAL ANSWER
3.30112651646447 3.301127 Meter <-- Depth of Flow of Trapezoidal Channel
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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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

Depth of Flow given Top Width for Trapezoidal Formula

​LaTeX ​Go
Depth of Flow of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Side slope of Trapezoidal Channel)
df(trap) = (TTrap-Btrap)/(2*ztrap)

What is Depth of flow?

Normal depth is the depth of flow in a channel or culvert when the slope of the water surface and channel bottom is the same and the water depth remains constant. ... Note: Flow at normal depth in culverts often presents the highest average velocities and shallowest depths at that flow.

How to Calculate Depth of Flow given Top Width for Trapezoidal?

Depth of Flow given Top Width for Trapezoidal calculator uses Depth of Flow of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Side slope of Trapezoidal Channel) to calculate the Depth of Flow of Trapezoidal Channel, The Depth of Flow given Top Width for Trapezoidal formula is defined as the total amount of water in channel at any section. Depth of Flow of Trapezoidal Channel is denoted by df(trap) symbol.

How to calculate Depth of Flow given Top Width for Trapezoidal using this online calculator? To use this online calculator for Depth of Flow given Top Width for Trapezoidal, enter Top Width of Trapezoidal Channel (TTrap), Width of Trap Channel (Btrap) & Side slope of Trapezoidal Channel (ztrap) and hit the calculate button. Here is how the Depth of Flow given Top Width for Trapezoidal calculation can be explained with given input values -> 3.301127 = (7.62-3.8105)/(2*0.577).

FAQ

What is Depth of Flow given Top Width for Trapezoidal?
The Depth of Flow given Top Width for Trapezoidal formula is defined as the total amount of water in channel at any section and is represented as df(trap) = (TTrap-Btrap)/(2*ztrap) or Depth of Flow of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Side slope of Trapezoidal Channel). Top Width of Trapezoidal Channel is defined as width at top of section, 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 Top Width for Trapezoidal?
The Depth of Flow given Top Width for Trapezoidal formula is defined as the total amount of water in channel at any section is calculated using Depth of Flow of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Side slope of Trapezoidal Channel). To calculate Depth of Flow given Top Width for Trapezoidal, you need Top Width of Trapezoidal Channel (TTrap), Width of Trap Channel (Btrap) & Side slope of Trapezoidal Channel (ztrap). With our tool, you need to enter the respective value for Top Width 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 Top Width 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 = (Wetted Perimeter of Trapezoidal Channel-Width of Trap Channel)/(2*(sqrt(Side slope of Trapezoidal Channel*Side slope of Trapezoidal Channel+1)))
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