Hydraulic Depth for Trapezoidal Calculator

✖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%
✖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%
✖Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.ⓘ Side slope of Trapezoidal Channel [z_trap]			+10% -10%

✖Hydraulic Depth of Trapezoidal Channel is defined as depth which in contact with water.ⓘ Hydraulic Depth for Trapezoidal [D_Trap]

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Formula

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Hydraulic Depth for Trapezoidal

Formula

`"D"_{"Trap"} = (("B"_{"trap"}+"d"_{"f(trap)"}*"z"_{"trap"})*"d"_{"f(trap)"})/("B"_{"trap"}+2*"d"_{"f(trap)"}*"z"_{"trap"})`

Example

`"2.487743m"=(("3.8105m"+"3.32m"*"0.577")*"3.32m")/("3.8105m"+2*"3.32m"*"0.577")`

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Download Geometrical Properties of Trapezoidal Channel Section Formulas PDF

Hydraulic Depth for Trapezoidal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
D_Trap = ((B_trap+d_f(trap)*z_trap)*d_f(trap))/(B_trap+2*d_f(trap)*z_trap)
This formula uses 4 Variables

Variables Used

Hydraulic Depth of Trapezoidal Channel - (Measured in Meter) - Hydraulic Depth of Trapezoidal Channel is defined as depth which in contact with 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.
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

Width of Trap Channel: 3.8105 Meter --> 3.8105 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

D_Trap = ((B_trap+d_f(trap)*z_trap)*d_f(trap))/(B_trap+2*d_f(trap)*z_trap) --> ((3.8105+3.32*0.577)*3.32)/(3.8105+2*3.32*0.577)

Evaluating ... ...

D_Trap = 2.48774301275357

STEP 3: Convert Result to Output's Unit

2.48774301275357 Meter --> No Conversion Required

FINAL ANSWER

2.48774301275357 ≈ 2.487743 Meter <-- Hydraulic Depth of Trapezoidal Channel

(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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

Hydraulic Depth for Trapezoidal Formula

What is Hydraulic Depth?

Hydraulic Depth is defined as the cross section of water flowing through a channel or pipe divided by the wetted perimeter of the conduit.

How to Calculate Hydraulic Depth for Trapezoidal?

Hydraulic Depth for Trapezoidal calculator uses 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) to calculate the Hydraulic Depth of Trapezoidal Channel, The Hydraulic Depth for Trapezoidal is defined as the ratio of area to top width of channel in the flow measured in perpendicular of flow. Hydraulic Depth of Trapezoidal Channel is denoted by D_Trap symbol.

How to calculate Hydraulic Depth for Trapezoidal using this online calculator? To use this online calculator for Hydraulic Depth for Trapezoidal, enter Width of Trap Channel (B_trap), Depth of Flow of Trapezoidal Channel (d_f(trap)) & Side slope of Trapezoidal Channel (z_trap) and hit the calculate button. Here is how the Hydraulic Depth for Trapezoidal calculation can be explained with given input values -> 2.475249 = ((3.8105+3.32*0.577)*3.32)/(3.8105+2*3.32*0.577).

FAQ

What is Hydraulic Depth for Trapezoidal?

The Hydraulic Depth for Trapezoidal is defined as the ratio of area to top width of channel in the flow measured in perpendicular of flow and is represented as D_Trap = ((B_trap+d_f(trap)*z_trap)*d_f(trap))/(B_trap+2*d_f(trap)*z_trap) or 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). Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration, 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 Hydraulic Depth for Trapezoidal?

The Hydraulic Depth for Trapezoidal is defined as the ratio of area to top width of channel in the flow measured in perpendicular of flow is calculated using 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). To calculate Hydraulic Depth for Trapezoidal, you need Width of Trap Channel (B_trap), Depth of Flow of Trapezoidal Channel (d_f(trap)) & Side slope of Trapezoidal Channel (z_trap). With our tool, you need to enter the respective value for Width of Trap 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.

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