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Side Slope of Section given Perimeter Calculator

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✖Wetted Perimeter of Trapezoidal Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter of Trapezoidal Channel [P_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 Perimeter [z_trap]

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Side Slope of Section given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Side slope of Trapezoidal Channel = sqrt((((Wetted Perimeter of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel))^2)-1)
z_trap = sqrt((((P_Trap-B_trap)/(2*d_f(trap)))^2)-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

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

Wetted Perimeter of Trapezoidal Channel: 11.43 Meter --> 11.43 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 = sqrt((((P_Trap-B_trap)/(2*d_f(trap)))^2)-1) --> sqrt((((11.43-3.8105)/(2*3.32))^2)-1)

Evaluating ... ...

z_trap = 0.562841730400139

STEP 3: Convert Result to Output's Unit

0.562841730400139 --> No Conversion Required

FINAL ANSWER

0.562841730400139 ≈ 0.562842 <-- Side slope of Trapezoidal Channel

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

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

Side Slope of Section given Perimeter Formula

LaTeX Go

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 Side Slope of Section given Perimeter?

Side Slope of Section given Perimeter calculator uses Side slope of Trapezoidal Channel = sqrt((((Wetted Perimeter of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel))^2)-1) to calculate the Side slope of Trapezoidal Channel, The Side Slope of Section given Perimeter is defined as the slope of non parallel sides from vertical. Side slope of Trapezoidal Channel is denoted by z_trap symbol.

How to calculate Side Slope of Section given Perimeter using this online calculator? To use this online calculator for Side Slope of Section given Perimeter, enter Wetted Perimeter of Trapezoidal Channel (P_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 Perimeter calculation can be explained with given input values -> 0.576888 = sqrt((((11.43-3.8105)/(2*3.32))^2)-1).

FAQ

What is Side Slope of Section given Perimeter?

The Side Slope of Section given Perimeter is defined as the slope of non parallel sides from vertical and is represented as z_trap = sqrt((((P_Trap-B_trap)/(2*d_f(trap)))^2)-1) or Side slope of Trapezoidal Channel = sqrt((((Wetted Perimeter of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel))^2)-1). Wetted Perimeter of Trapezoidal Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body, 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 Perimeter?

The Side Slope of Section given Perimeter is defined as the slope of non parallel sides from vertical is calculated using Side slope of Trapezoidal Channel = sqrt((((Wetted Perimeter of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel))^2)-1). To calculate Side Slope of Section given Perimeter, you need Wetted Perimeter of Trapezoidal Channel (P_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 Wetted Perimeter 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 Wetted Perimeter 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 = (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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