Section Factor 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%

✖Section Factor of trapezoidal is ratio of normal to critical channel depth.ⓘ Section Factor for Trapezoidal [Z_Trap]

⎘ Copy

👎

Formula

✖

Section Factor for Trapezoidal

Formula

`"Z"_{"Trap"} = (((("B"_{"trap"}+"d"_{"f(trap)"}*"z"_{"trap"})*"d"_{"f(trap)"}))^1.5)/(sqrt("B"_{"trap"}+2*"d"_{"f(trap)"}*"z"_{"trap"}))`

Example

`"29.98491m^2.5"=(((("3.8105m"+"3.32m"*"0.577")*"3.32m"))^1.5)/(sqrt("3.8105m"+2*"3.32m"*"0.577"))`

Calculator

LaTeX

Reset

👍

Download Geometrical Properties of Trapezoidal Channel Section Formulas PDF PDF Image

Section Factor for Trapezoidal Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
Z_Trap = ((((B_trap+d_f(trap)*z_trap)*d_f(trap)))^1.5)/(sqrt(B_trap+2*d_f(trap)*z_trap))
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

Section Factor of Trapezoidal - (Measured in Meter^2.5) - Section Factor of trapezoidal is ratio of normal to critical channel depth.
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

Z_Trap = ((((B_trap+d_f(trap)*z_trap)*d_f(trap)))^1.5)/(sqrt(B_trap+2*d_f(trap)*z_trap)) --> ((((3.8105+3.32*0.577)*3.32))^1.5)/(sqrt(3.8105+2*3.32*0.577))

Evaluating ... ...

Z_Trap = 29.9849137028982

STEP 3: Convert Result to Output's Unit

29.9849137028982 Meter^2.5 --> No Conversion Required

FINAL ANSWER

29.9849137028982 ≈ 29.98491 Meter^2.5 <-- Section Factor of Trapezoidal

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Geometrical Properties of Channel Section » Geometrical Properties of Trapezoidal Channel Section » Section Factor for Trapezoidal

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 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

Section Factor for Trapezoidal Formula

What is Section Factor?

The section Factor for critical flow The section factor for critical flow computation (Z) is the product of the water area and the square root of the hydraulic depth.

How to Calculate Section Factor for Trapezoidal?

Section Factor for Trapezoidal calculator uses 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)) to calculate the Section Factor of Trapezoidal, The Section Factor for Trapezoidal is defined as the ratio of sectional parameter to that of critical section parameter measured at same point. Section Factor of Trapezoidal is denoted by Z_Trap symbol.

How to calculate Section Factor for Trapezoidal using this online calculator? To use this online calculator for Section Factor 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 Section Factor for Trapezoidal calculation can be explained with given input values -> 29.66943 = ((((3.8105+3.32*0.577)*3.32))^1.5)/(sqrt(3.8105+2*3.32*0.577)).

FAQ

What is Section Factor for Trapezoidal?

The Section Factor for Trapezoidal is defined as the ratio of sectional parameter to that of critical section parameter measured at same point and is represented as Z_Trap = ((((B_trap+d_f(trap)*z_trap)*d_f(trap)))^1.5)/(sqrt(B_trap+2*d_f(trap)*z_trap)) or 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)). 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 Section Factor for Trapezoidal?

The Section Factor for Trapezoidal is defined as the ratio of sectional parameter to that of critical section parameter measured at same point is calculated using 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)). To calculate Section Factor 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.

Home

FREE PDFs

🔍 Search