Side Slope of Section given Top Width for Trapezoidal Calculator

✖Top Width of Trapezoidal Channel is defined as width at top of section.ⓘ Top Width of Trapezoidal Channel [T_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%
✖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 Section given Top Width for Trapezoidal [z_trap]

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Formula

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Side Slope of Section given Top Width for Trapezoidal

Formula

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

Example

`"0.57372"=("7.62m"-"3.8105m")/(2*"3.32m")`

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Download Geometrical Properties of Trapezoidal Channel Section Formulas PDF

Side Slope of Section given Top Width for Trapezoidal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side slope of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel)
z_trap = (T_Trap-B_trap)/(2*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.
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.
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.

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
Depth of Flow of Trapezoidal Channel: 3.32 Meter --> 3.32 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z_trap = (T_Trap-B_trap)/(2*d_f(trap)) --> (7.62-3.8105)/(2*3.32)

Evaluating ... ...

z_trap = 0.573719879518072

STEP 3: Convert Result to Output's Unit

0.573719879518072 --> No Conversion Required

FINAL ANSWER

0.573719879518072 ≈ 0.57372 <-- 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 Top Width for Trapezoidal Formula

Side slope of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel)
z_trap = (T_Trap-B_trap)/(2*d_f(trap))

What is Open Channel Flow?

Open-channel flow, a branch of hydraulics and fluid mechanics, is a type of liquid flow within a conduit or in channel with a free surface, known as a channel. The other type of flow within a conduit is pipe flow. These two types of flow are similar in many ways but differ in one important respect: the free surface.

How to Calculate Side Slope of Section given Top Width for Trapezoidal?

Side Slope of Section given Top Width for Trapezoidal calculator uses Side slope of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel) to calculate the Side slope of Trapezoidal Channel, The Side Slope of Section given Top Width for Trapezoidal is defined as the channels side elevation with respect to vertical. Side slope of Trapezoidal Channel is denoted by z_trap symbol.

How to calculate Side Slope of Section given Top Width for Trapezoidal using this online calculator? To use this online calculator for Side Slope of Section given Top Width for Trapezoidal, enter Top Width of Trapezoidal Channel (T_Trap), Width of Trap Channel (B_trap) & Depth of Flow of Trapezoidal Channel (d_f(trap)) and hit the calculate button. Here is how the Side Slope of Section given Top Width for Trapezoidal calculation can be explained with given input values -> 0.577197 = (7.62-3.8105)/(2*3.32).

FAQ

What is Side Slope of Section given Top Width for Trapezoidal?

The Side Slope of Section given Top Width for Trapezoidal is defined as the channels side elevation with respect to vertical and is represented as z_trap = (T_Trap-B_trap)/(2*d_f(trap)) or Side slope of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow 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 & 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.

How to calculate Side Slope of Section given Top Width for Trapezoidal?

The Side Slope of Section given Top Width for Trapezoidal is defined as the channels side elevation with respect to vertical is calculated using Side slope of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel). To calculate Side Slope of Section given Top Width for Trapezoidal, you need Top Width of Trapezoidal Channel (T_Trap), Width of Trap Channel (B_trap) & Depth of Flow of Trapezoidal Channel (d_f(trap)). With our tool, you need to enter the respective value for Top Width of Trapezoidal Channel, Width of Trap Channel & Depth of Flow 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 Side slope of Trapezoidal Channel?

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

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
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 = (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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