Width of Section given Top Width Calculator

✖Top Width of Trapezoidal Channel is defined as width at top of section.ⓘ Top Width of Trapezoidal Channel [T_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%

✖Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.ⓘ Width of Section given Top Width [B_trap]

⎘ Copy

👎

Formula

✖

Width of Section given Top Width

Formula

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

Example

`"3.78872m"="7.62m"-2*"3.32m"*"0.577"`

Calculator

LaTeX

Reset

👍

Download Geometrical Properties of Trapezoidal Channel Section Formulas PDF

Width of Section given Top Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Trap Channel = Top Width of Trapezoidal Channel-2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel
B_trap = T_Trap-2*d_f(trap)*z_trap
This formula uses 4 Variables

Variables Used

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.
Top Width of Trapezoidal Channel - (Measured in Meter) - Top Width of Trapezoidal Channel is defined as width at top of section.
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

Top Width of Trapezoidal Channel: 7.62 Meter --> 7.62 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

B_trap = T_Trap-2*d_f(trap)*z_trap --> 7.62-2*3.32*0.577

Evaluating ... ...

B_trap = 3.78872

STEP 3: Convert Result to Output's Unit

3.78872 Meter --> No Conversion Required

FINAL ANSWER

3.78872 Meter <-- Width of Trap Channel

(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 » Width of Section given Top Width

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ 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

Width of Section given Top Width Formula

Width of Trap Channel = Top Width of Trapezoidal Channel-2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel
B_trap = T_Trap-2*d_f(trap)*z_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 Width of Section given Top Width?

Width of Section given Top Width calculator uses Width of Trap Channel = Top Width of Trapezoidal Channel-2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel to calculate the Width of Trap Channel, The Width of Section given Top Width is defined as the width of channel measured perpendicular to flow. Width of Trap Channel is denoted by B_trap symbol.

How to calculate Width of Section given Top Width using this online calculator? To use this online calculator for Width of Section given Top Width, enter Top Width of Trapezoidal Channel (T_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 Width of Section given Top Width calculation can be explained with given input values -> 3.8118 = 7.62-2*3.32*0.577.

FAQ

What is Width of Section given Top Width?

The Width of Section given Top Width is defined as the width of channel measured perpendicular to flow and is represented as B_trap = T_Trap-2*d_f(trap)*z_trap or Width of Trap Channel = Top Width of Trapezoidal Channel-2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel. Top Width of Trapezoidal Channel is defined as width at top of section, 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 Width of Section given Top Width?

The Width of Section given Top Width is defined as the width of channel measured perpendicular to flow is calculated using Width of Trap Channel = Top Width of Trapezoidal Channel-2*Depth of Flow of Trapezoidal Channel*Side slope of Trapezoidal Channel. To calculate Width of Section given Top Width, you need Top Width of Trapezoidal Channel (T_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 Top Width of Trapezoidal 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.

How many ways are there to calculate Width of Trap Channel?

In this formula, Width of Trap Channel uses Top Width of Trapezoidal Channel, Depth of Flow of Trapezoidal Channel & Side slope of Trapezoidal Channel. We can use 4 other way(s) to calculate the same, which is/are as follows -

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)
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))
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)
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)

Home

FREE PDFs

🔍 Search