Side Slope of Section given Wetted Area of Trapezoidal Calculator

✖Wetted Surface Area of Trapezoidal Channel [length^2] is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Surface Area of Trapezoidal Channel [S_Trap]			+10% -10%
✖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.ⓘ Depth of Flow of Trapezoidal Channel [d_f(trap)]			+10% -10%
✖Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.ⓘ Width of Trap Channel [B_trap]			+10% -10%

✖Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.ⓘ Side Slope of Section given Wetted Area of Trapezoidal [z_trap]

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Side Slope of Section given Wetted Area of Trapezoidal

Formula

`"z"_{"trap"} = (("S"_{"Trap"}/"d"_{"f(trap)"})-"B"_{"trap"})/"d"_{"f(trap)"}`

Example

`"0.56332"=(("18.86m²"/"3.32m")-"3.8105m")/"3.32m"`

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Download Geometrical Properties of Trapezoidal Channel Section Formulas PDF

Side Slope of Section given Wetted Area of Trapezoidal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
z_trap = ((S_Trap/d_f(trap))-B_trap)/d_f(trap)
This formula uses 4 Variables

Variables Used

Side slope of Trapezoidal Channel - Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.
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.
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.

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
Width of Trap Channel: 3.8105 Meter --> 3.8105 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z_trap = ((S_Trap/d_f(trap))-B_trap)/d_f(trap) --> ((18.86/3.32)-3.8105)/3.32

Evaluating ... ...

z_trap = 0.563320148062128

STEP 3: Convert Result to Output's Unit

0.563320148062128 --> No Conversion Required

FINAL ANSWER

0.563320148062128 ≈ 0.56332 <-- Side slope of Trapezoidal Channel

(Calculation completed in 00.004 seconds)

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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

Side Slope of Section given Wetted Area of Trapezoidal Formula

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 Side Slope of Section given Wetted Area of Trapezoidal?

Side Slope of Section given Wetted Area of Trapezoidal calculator uses 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 to calculate the Side slope of Trapezoidal Channel, The Side Slope of Section given Wetted Area of Trapezoidal is defined as the channel elevation from sides saying to be non parallel sides. Side slope of Trapezoidal Channel is denoted by z_trap symbol.

How to calculate Side Slope of Section given Wetted Area of Trapezoidal using this online calculator? To use this online calculator for Side Slope of Section given Wetted Area of Trapezoidal, enter Wetted Surface Area of Trapezoidal Channel (S_Trap), Depth of Flow of Trapezoidal Channel (d_f(trap)) & Width of Trap Channel (B_trap) and hit the calculate button. Here is how the Side Slope of Section given Wetted Area of Trapezoidal calculation can be explained with given input values -> 0.577167 = ((18.86/3.32)-3.8105)/3.32.

FAQ

What is Side Slope of Section given Wetted Area of Trapezoidal?

The Side Slope of Section given Wetted Area of Trapezoidal is defined as the channel elevation from sides saying to be non parallel sides and is represented as z_trap = ((S_Trap/d_f(trap))-B_trap)/d_f(trap) or 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. 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 & Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.

How to calculate Side Slope of Section given Wetted Area of Trapezoidal?

The Side Slope of Section given Wetted Area of Trapezoidal is defined as the channel elevation from sides saying to be non parallel sides is calculated using 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. To calculate Side Slope of Section given Wetted Area of Trapezoidal, you need Wetted Surface Area of Trapezoidal Channel (S_Trap), Depth of Flow of Trapezoidal Channel (d_f(trap)) & Width of Trap Channel (B_trap). With our tool, you need to enter the respective value for Wetted Surface Area of Trapezoidal Channel, Depth of Flow of Trapezoidal Channel & Width of Trap 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 Side slope of Trapezoidal Channel?

In this formula, Side slope of Trapezoidal Channel uses Wetted Surface Area of Trapezoidal Channel, Depth of Flow of Trapezoidal Channel & Width of Trap Channel. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel)
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)

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