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Side Slope of Section given Perimeter Formula

GoSide Slope of Section given Wetted Area of Trapezoidal Formula

GoSide Slope of Section given Top Width for Trapezoidal Formula

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

z trap = \sqrt{({(\frac{P Trap - B trap}{2 \cdot d f(trap)})}^{2}) - 1}

z_trap - Side slope of Trapezoidal Channel?P_Trap - Wetted Perimeter of Trapezoidal Channel?B_trap - Width of Trap Channel?d_f(trap) - Depth of Flow of Trapezoidal Channel?

Side Slope of Section given Perimeter Example

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Here is how the Side Slope of Section given Perimeter equation looks like with Values.

Here is how the Side Slope of Section given Perimeter equation looks like with Units.

Here is how the Side Slope of Section given Perimeter equation looks like.

0.5628 = \sqrt{({(\frac{11.43 - 3.8105}{2 \cdot 3.32})}^{2}) - 1}

0.5628 = \sqrt{({(\frac{11.43m - 3.8105m}{2 \cdot 3.32m})}^{2}) - 1}

0.5628 = \sqrt{({(\frac{11.43 - 3.8105}{2 \cdot 3.32})}^{2}) - 1}

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Side Slope of Section given Perimeter Solution

Follow our step by step solution on how to calculate Side Slope of Section given Perimeter?

FIRST Step Consider the formula

z trap = \sqrt{({(\frac{P Trap - B trap}{2 \cdot d f(trap)})}^{2}) - 1}

Next Step Substitute values of Variables

∴

z trap = \sqrt{({(\frac{11.43m - 3.8105m}{2 \cdot 3.32m})}^{2}) - 1}

Next Step Prepare to Evaluate

∴

z trap = \sqrt{({(\frac{11.43 - 3.8105}{2 \cdot 3.32})}^{2}) - 1}

Next Step Evaluate

∴

z trap = 0.562841730400139

LAST Step Rounding Answer

∴

z trap = 0.5628

Side Slope of Section given Perimeter Formula Elements

Variables

Functions

Side slope of Trapezoidal Channel

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

Symbol: z_trap

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Side slope of Trapezoidal Channel

Wetted Perimeter of Trapezoidal Channel

Wetted Perimeter of Trapezoidal Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

Symbol: P_Trap

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Wetted Perimeter of Trapezoidal Channel

Width of Trap Channel

Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.

Symbol: B_trap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Trap Channel

Depth of Flow of Trapezoidal Channel

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.

Symbol: d_f(trap)

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Flow of Trapezoidal Channel

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.

Syntax: sqrt(Number)

Other Formulas to find Side slope of Trapezoidal Channel

Go Side Slope of Section given Wetted Area of Trapezoidal

z trap = \frac{(\frac{S Trap}{d f(trap)}) - B trap}{d f(trap)}

Go Side Slope of Section given Top Width for Trapezoidal

z trap = \frac{T Trap - B trap}{2 \cdot d f(trap)}

Go Side Slope of Section given Hydraulic Depth

z trap = \frac{B trap \cdot d f(trap) - B trap \cdot D Trap}{2 \cdot D Trap \cdot d f(trap) - {(d f(trap))}^{2}}

Other formulas in Geometrical Properties of Trapezoidal Channel Section category

Go Wetted Area for Trapezoidal

S Trap = (B trap + z trap \cdot d f(trap)) \cdot d f(trap)

Go Width of Section given Wetted Area for Trapezoidal

B trap = (\frac{S Trap}{d f(trap)}) - (z trap \cdot d f(trap))

Go Wetted Perimeter for Trapezoidal

P Trap = B trap + 2 \cdot d f(trap) \cdot (\sqrt{z trap \cdot z trap + 1})

Go Width of Section given Wetted Perimeters in Section

B trap = P Trap - 2 \cdot d f(trap) \cdot (\sqrt{z trap \cdot z trap + 1})

How to Evaluate Side Slope of Section given Perimeter?

Side Slope of Section given Perimeter evaluator 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 evaluate 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 evaluate Side Slope of Section given Perimeter using this online evaluator? To use this online evaluator 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.

FAQs on Side Slope of Section given Perimeter

What is the formula to find Side Slope of Section given Perimeter?

The formula of Side Slope of Section given Perimeter is expressed as Side slope of Trapezoidal Channel = sqrt((((Wetted Perimeter of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel))^2)-1). Here is an example- 0.576888 = sqrt((((11.43-3.8105)/(2*3.32))^2)-1).

How to calculate Side Slope of Section given Perimeter?

With Wetted Perimeter of Trapezoidal Channel (P_Trap), Width of Trap Channel (B_trap) & Depth of Flow of Trapezoidal Channel (d_f(trap)) we can find Side Slope of Section given Perimeter using the formula - Side slope of Trapezoidal Channel = sqrt((((Wetted Perimeter of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel))^2)-1). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Side slope of Trapezoidal Channel?

Here are the different ways to Calculate Side slope of Trapezoidal Channel-

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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Side Slope of Section given Perimeter Formula

​GoSide Slope of Section given Wetted Area of Trapezoidal Formula

​GoSide Slope of Section given Top Width for Trapezoidal Formula

Side Slope of Section given Perimeter Example

Side Slope of Section given Perimeter Solution

Side Slope of Section given Perimeter Formula Elements

Other Formulas to find Side slope of Trapezoidal Channel

Other formulas in Geometrical Properties of Trapezoidal Channel Section category

How to Evaluate Side Slope of Section given Perimeter?

FAQs on Side Slope of Section given Perimeter

Variable Name

GoSide Slope of Section given Wetted Area of Trapezoidal Formula

GoSide Slope of Section given Top Width for Trapezoidal Formula