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Side Slope of Section given Hydraulic Depth Calculator

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Geometrical Properties of Trapezoidal Channel Section Geometrical Properties of Circular Channel Section Geometrical Properties of Parabolic Channel Section Geometrical Properties of Rectangular Channel Section More >>

✖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%
✖Hydraulic Depth of Trapezoidal Channel is defined as depth which in contact with water.ⓘ Hydraulic Depth of Trapezoidal Channel [D_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 Hydraulic Depth [z_trap]

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Download Geometrical Properties of Trapezoidal Channel Section Formulas PDF PDF Image

Side Slope of Section given Hydraulic Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
z_trap = (B_trap*d_f(trap)-B_trap*D_Trap)/(2*D_Trap*d_f(trap)-(d_f(trap))^2)
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.
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.
Hydraulic Depth of Trapezoidal Channel - (Measured in Meter) - Hydraulic Depth of Trapezoidal Channel is defined as depth which in contact with water.

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
Hydraulic Depth of Trapezoidal Channel: 2.47 Meter --> 2.47 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z_trap = (B_trap*d_f(trap)-B_trap*D_Trap)/(2*D_Trap*d_f(trap)-(d_f(trap))^2) --> (3.8105*3.32-3.8105*2.47)/(2*2.47*3.32-(3.32)^2)

Evaluating ... ...

z_trap = 0.602209764985869

STEP 3: Convert Result to Output's Unit

0.602209764985869 --> No Conversion Required

FINAL ANSWER

0.602209764985869 ≈ 0.60221 <-- Side slope of Trapezoidal Channel

(Calculation completed in 00.007 seconds)

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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 Hydraulic Depth Formula

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What is Hydraulic Depth?

The cross section of water flowing through a channel or pipe divided by the wetted perimeter of the conduit.

How to Calculate Side Slope of Section given Hydraulic Depth?

Side Slope of Section given Hydraulic Depth calculator uses 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) to calculate the Side slope of Trapezoidal Channel, The Side Slope of Section given Hydraulic Depth is defined as the elevation of sides of channel from vertical. Side slope of Trapezoidal Channel is denoted by z_trap symbol.

How to calculate Side Slope of Section given Hydraulic Depth using this online calculator? To use this online calculator for Side Slope of Section given Hydraulic Depth, enter Width of Trap Channel (B_trap), Depth of Flow of Trapezoidal Channel (d_f(trap)) & Hydraulic Depth of Trapezoidal Channel (D_Trap) and hit the calculate button. Here is how the Side Slope of Section given Hydraulic Depth calculation can be explained with given input values -> 0.584389 = (3.8105*3.32-3.8105*2.47)/(2*2.47*3.32-(3.32)^2).

FAQ

What is Side Slope of Section given Hydraulic Depth?

The Side Slope of Section given Hydraulic Depth is defined as the elevation of sides of channel from vertical and is represented as z_trap = (B_trap*d_f(trap)-B_trap*D_Trap)/(2*D_Trap*d_f(trap)-(d_f(trap))^2) or 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). 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 & Hydraulic Depth of Trapezoidal Channel is defined as depth which in contact with water.

How to calculate Side Slope of Section given Hydraulic Depth?

The Side Slope of Section given Hydraulic Depth is defined as the elevation of sides of channel from vertical is calculated using 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). To calculate Side Slope of Section given Hydraulic Depth, you need Width of Trap Channel (B_trap), Depth of Flow of Trapezoidal Channel (d_f(trap)) & Hydraulic Depth of Trapezoidal Channel (D_Trap). With our tool, you need to enter the respective value for Width of Trap Channel, Depth of Flow of Trapezoidal Channel & Hydraulic Depth 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 Width of Trap Channel, Depth of Flow of Trapezoidal Channel & Hydraulic Depth 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 = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel)

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