LCM calculator

Diameter of Section given Section Factor Calculator

Engineering Chemistry Financial Health More >>

↳

Civil Chemical Engineering Electrical Electronics More >>

⤿

Hydraulics and Waterworks Bridge and Suspension Cable Coastal and Ocean Engineering Columns More >>

⤿

Flow in Open Channels Buoyancy And Floatation Culverts Dams More >>

⤿

Geometrical Properties of Channel Section Computation of Uniform Flow Critical Flow and its Computation Metering Flumes and Momentum in Open Channel Flow Specific Force More >>

⤿

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

✖Section Factor of Circular Channel is ratio of normal to critical channel depth.ⓘ Section Factor of Circular Channel [Z_cir]			+10% -10%
✖Subtended Angle in Radians is the angle made by something from a given viewpoint.ⓘ Subtended Angle in Radians [θ_Angle]			+10% -10%

✖The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.ⓘ Diameter of Section given Section Factor [d_section]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Geometrical Properties of Circular Channel Section Formulas PDF PDF Image

Diameter of Section given Section Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Section = (Section Factor of Circular Channel/(((sqrt(2))/32)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5)))^(2/5)
d_section = (Z_cir/(((sqrt(2))/32)*(((180/pi)*θ_Angle-sin(θ_Angle))^1.5)/((sin(θ_Angle/2))^0.5)))^(2/5)
This formula uses 1 Constants, 2 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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

Diameter of Section - (Measured in Meter) - The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.
Section Factor of Circular Channel - (Measured in Meter^2.5) - Section Factor of Circular Channel is ratio of normal to critical channel depth.
Subtended Angle in Radians - (Measured in Radian) - Subtended Angle in Radians is the angle made by something from a given viewpoint.

STEP 1: Convert Input(s) to Base Unit

Section Factor of Circular Channel: 80.88 Meter^2.5 --> 80.88 Meter^2.5 No Conversion Required
Subtended Angle in Radians: 3.14 Degree --> 0.0548033385126116 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_section = (Z_cir/(((sqrt(2))/32)*(((180/pi)*θ_Angle-sin(θ_Angle))^1.5)/((sin(θ_Angle/2))^0.5)))^(2/5) --> (80.88/(((sqrt(2))/32)*(((180/pi)*0.0548033385126116-sin(0.0548033385126116))^1.5)/((sin(0.0548033385126116/2))^0.5)))^(2/5)

Evaluating ... ...

d_section = 4.99991884220499

STEP 3: Convert Result to Output's Unit

4.99991884220499 Meter --> No Conversion Required

FINAL ANSWER

4.99991884220499 ≈ 4.999919 Meter <-- Diameter of Section

(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 Circular Channel Section » Diameter of Section given Section Factor

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!

< Geometrical Properties of Circular Channel Section Calculators

Diameter of Section given Wetted Area

LaTeX Go Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians))

Wetted Area for Circle

LaTeX Go Wetted Surface Area of Circular Channel = (1/8)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)*(Diameter of Section^2))

Diameter of Section given Wetted Perimeter

LaTeX Go Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi))

Angle of Sector given Wetted Perimeter

LaTeX Go Subtended Angle in Radians = Wetted Perimeter of Channel/(0.5*Diameter of Section)*(pi/180)

Diameter of Section given Section Factor Formula

LaTeX Go

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 Diameter of Section given Section Factor?

Diameter of Section given Section Factor calculator uses Diameter of Section = (Section Factor of Circular Channel/(((sqrt(2))/32)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5)))^(2/5) to calculate the Diameter of Section, Diameter of Section given Section Factor is defined as the diameter of a structural element using its Section Factor, which is the ratio of its cross-sectional area to its perimeter. Diameter of Section is denoted by d_section symbol.

How to calculate Diameter of Section given Section Factor using this online calculator? To use this online calculator for Diameter of Section given Section Factor, enter Section Factor of Circular Channel (Z_cir) & Subtended Angle in Radians (θ_Angle) and hit the calculate button. Here is how the Diameter of Section given Section Factor calculation can be explained with given input values -> 4.999919 = (80.88/(((sqrt(2))/32)*(((180/pi)*0.0548033385126116-sin(0.0548033385126116))^1.5)/((sin(0.0548033385126116/2))^0.5)))^(2/5).

FAQ

What is Diameter of Section given Section Factor?

Diameter of Section given Section Factor is defined as the diameter of a structural element using its Section Factor, which is the ratio of its cross-sectional area to its perimeter and is represented as d_section = (Z_cir/(((sqrt(2))/32)*(((180/pi)*θ_Angle-sin(θ_Angle))^1.5)/((sin(θ_Angle/2))^0.5)))^(2/5) or Diameter of Section = (Section Factor of Circular Channel/(((sqrt(2))/32)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5)))^(2/5). Section Factor of Circular Channel is ratio of normal to critical channel depth & Subtended Angle in Radians is the angle made by something from a given viewpoint.

How to calculate Diameter of Section given Section Factor?

Diameter of Section given Section Factor is defined as the diameter of a structural element using its Section Factor, which is the ratio of its cross-sectional area to its perimeter is calculated using Diameter of Section = (Section Factor of Circular Channel/(((sqrt(2))/32)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5)))^(2/5). To calculate Diameter of Section given Section Factor, you need Section Factor of Circular Channel (Z_cir) & Subtended Angle in Radians (θ_Angle). With our tool, you need to enter the respective value for Section Factor of Circular Channel & Subtended Angle in Radians 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 Diameter of Section?

In this formula, Diameter of Section uses Section Factor of Circular Channel & Subtended Angle in Radians. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians))
Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi))
Diameter of Section = Hydraulic Radius of Circular Channel/(0.25*(1-(sin(Subtended Angle in Radians)/((180/pi)*Subtended Angle in Radians))))

Home

FREE PDFs

🔍 Search