Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre Calculator

✖Radius of Outer Fibre is the radius of the outer fiber of a curved structural element.ⓘ Radius of Outer Fibre [R_o]			+10% -10%
✖Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.ⓘ Radius of Inner Fibre [R_i]			+10% -10%

✖Radius of Neutral Axis is the radius of the axis of the curved beam passing through the points which have zero stress on them.ⓘ Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre [R_N]

⎘ Copy

👎

Formula

✖

Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre

Formula

`"R"_{"N"} = (((sqrt("R"_{"o"}))+(sqrt("R"_{"i"})))^2)/4`

Example

`"79.68627mm"=(((sqrt("90mm"))+(sqrt("70mm")))^2)/4`

Calculator

LaTeX

Reset

👍

Download Mechanical Formula PDF PDF Image

Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Neutral Axis = (((sqrt(Radius of Outer Fibre))+(sqrt(Radius of Inner Fibre)))^2)/4
R_N = (((sqrt(R_o))+(sqrt(R_i)))^2)/4
This formula uses 1 Functions, 3 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

Radius of Neutral Axis - (Measured in Meter) - Radius of Neutral Axis is the radius of the axis of the curved beam passing through the points which have zero stress on them.
Radius of Outer Fibre - (Measured in Meter) - Radius of Outer Fibre is the radius of the outer fiber of a curved structural element.
Radius of Inner Fibre - (Measured in Meter) - Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.

STEP 1: Convert Input(s) to Base Unit

Radius of Outer Fibre: 90 Millimeter --> 0.09 Meter (Check conversion here)
Radius of Inner Fibre: 70 Millimeter --> 0.07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_N = (((sqrt(R_o))+(sqrt(R_i)))^2)/4 --> (((sqrt(0.09))+(sqrt(0.07)))^2)/4

Evaluating ... ...

R_N = 0.0796862696659689

STEP 3: Convert Result to Output's Unit

0.0796862696659689 Meter -->79.6862696659689 Millimeter (Check conversion here)

FINAL ANSWER

79.6862696659689 ≈ 79.68627 Millimeter <-- Radius of Neutral Axis

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Mechanical » Machine Design » Design Against Static Load » Radius of Fiber and Axis » Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre

Credits

Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

Saurabh Patil has created this Calculator and 700+ more calculators!

Verified by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has verified this Calculator and 2500+ more calculators!

< 16 Radius of Fiber and Axis Calculators

Radius of centroidal axis of curved beam given bending stress

Go Radius of Centroidal Axis = ((Bending moment in curved beam*Distance from Neutral Axis of Curved Beam)/(Cross sectional area of curved beam*Bending Stress*(Radius of Neutral Axis-Distance from Neutral Axis of Curved Beam)))+Radius of Neutral Axis

Radius of neutral axis of curved beam given bending stress

Go Radius of Neutral Axis = ((Bending moment in curved beam*Distance from Neutral Axis of Curved Beam)/(Cross sectional area of curved beam*(Bending Stress)*Eccentricity Between Centroidal and Neutral Axis))+(Distance from Neutral Axis of Curved Beam)

Radius of inner fiber of curved beam given bending stress at fiber

Go Radius of Inner Fibre = (Bending moment in curved beam*Distance of Inner Fibre from Neutral Axis)/((Cross sectional area of curved beam)*Eccentricity Between Centroidal and Neutral Axis*(Bending Stress at Inner Fibre))

Radius of outer fibre of curved beam given bending stress at fiber

Go Radius of Outer Fibre = (Bending moment in curved beam*Distance of Outer Fibre from Neutral Axis)/((Cross sectional area of curved beam)*Eccentricity Between Centroidal and Neutral Axis*(Bending Stress at Outer Fibre))

Radius of neutral axis of curved beam of rectangular section given radius of inner and outer fiber

Go Radius of Neutral Axis = Distance from Neutral Axis of Curved Beam/ln(Radius of Outer Fibre/Radius of Inner Fibre)

Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre

Go Radius of Neutral Axis = (((sqrt(Radius of Outer Fibre))+(sqrt(Radius of Inner Fibre)))^2)/4

Radius of inner fiber of rectangular curved beam given radius of neutral axis and outer fiber

Go Radius of Inner Fibre = (Radius of Outer Fibre)/(e^(Distance from Neutral Axis of Curved Beam/Radius of Neutral Axis))

Radius of outer fiber of rectangular curved beam given radius of neutral axis and inner fiber

Go Radius of Outer Fibre = (Radius of Inner Fibre)*(e^(Distance from Neutral Axis of Curved Beam/Radius of Neutral Axis))

Radius of inner fiber of circular curved beam given radius of neutral axis and outer fiber

Go Radius of Inner Fibre = (sqrt(4*Radius of Neutral Axis)-sqrt(Radius of Outer Fibre))^2

Radius of outer fiber of circular curved beam given radius of neutral axis and inner fiber

Go Radius of Outer Fibre = (sqrt(4*Radius of Neutral Axis)-sqrt(Radius of Inner Fibre))^2

Radius of centroidal axis of curved beam given eccentricity between axis

Go Radius of Centroidal Axis = Radius of Neutral Axis+Eccentricity Between Centroidal and Neutral Axis

Radius of neutral axis of curved beam given eccentricity between axis

Go Radius of Neutral Axis = Radius of Centroidal Axis-Eccentricity Between Centroidal and Neutral Axis

Radius of centroidal axis of curved beam of rectangular section given radius of inner fiber

Go Radius of Centroidal Axis = (Radius of Inner Fibre)+(Distance from Neutral Axis of Curved Beam/2)

Radius of inner fibre of curved beam of rectangular section given radius of centroidal axis

Go Radius of Inner Fibre = (Radius of Centroidal Axis)-(Distance from Neutral Axis of Curved Beam/2)

Radius of centroidal axis of curved beam of circular section given radius of inner fiber

Go Radius of Centroidal Axis = (Radius of Inner Fibre)+(Diameter of circular curved beam/2)

Radius of inner fiber of curved beam of circular section given radius of centroidal axis

Go Radius of Inner Fibre = (Radius of Centroidal Axis)-(Diameter of circular curved beam/2)

Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre Formula

Radius of Neutral Axis = (((sqrt(Radius of Outer Fibre))+(sqrt(Radius of Inner Fibre)))^2)/4
R_N = (((sqrt(R_o))+(sqrt(R_i)))^2)/4

Characteristics of Stress Concentration Factor

1. The function of the geometry or shape of the part, but not its size or material composition.
2. The function of the type of loading (axial, bending, or torsional) applied to the part.
3. The function of the specific geometric stress raiser (e.g., fillet radius, notch, or hole) in the part.
4. Always defined with respect to particular nominal stress.
5. Typically assumes a linear elastic, homogeneous, isotropic material.

How to Calculate Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre?

Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre calculator uses Radius of Neutral Axis = (((sqrt(Radius of Outer Fibre))+(sqrt(Radius of Inner Fibre)))^2)/4 to calculate the Radius of Neutral Axis, Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre is the radius of the axis or radius of curvature of that axis of a curved beam that has zero tensile or compressive stresses. Radius of Neutral Axis is denoted by R_N symbol.

How to calculate Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre using this online calculator? To use this online calculator for Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre, enter Radius of Outer Fibre (R_o) & Radius of Inner Fibre (R_i) and hit the calculate button. Here is how the Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre calculation can be explained with given input values -> 79686.27 = (((sqrt(0.09))+(sqrt(0.07)))^2)/4.

FAQ

What is Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre?

Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre is the radius of the axis or radius of curvature of that axis of a curved beam that has zero tensile or compressive stresses and is represented as R_N = (((sqrt(R_o))+(sqrt(R_i)))^2)/4 or Radius of Neutral Axis = (((sqrt(Radius of Outer Fibre))+(sqrt(Radius of Inner Fibre)))^2)/4. Radius of Outer Fibre is the radius of the outer fiber of a curved structural element & Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.

How to calculate Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre?

Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre is the radius of the axis or radius of curvature of that axis of a curved beam that has zero tensile or compressive stresses is calculated using Radius of Neutral Axis = (((sqrt(Radius of Outer Fibre))+(sqrt(Radius of Inner Fibre)))^2)/4. To calculate Radius of neutral axis of curved beam of circular section given radius of inner and outer fibre, you need Radius of Outer Fibre (R_o) & Radius of Inner Fibre (R_i). With our tool, you need to enter the respective value for Radius of Outer Fibre & Radius of Inner Fibre 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 Radius of Neutral Axis?

In this formula, Radius of Neutral Axis uses Radius of Outer Fibre & Radius of Inner Fibre. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Neutral Axis = Radius of Centroidal Axis-Eccentricity Between Centroidal and Neutral Axis
Radius of Neutral Axis = ((Bending moment in curved beam*Distance from Neutral Axis of Curved Beam)/(Cross sectional area of curved beam*(Bending Stress)*Eccentricity Between Centroidal and Neutral Axis))+(Distance from Neutral Axis of Curved Beam)
Radius of Neutral Axis = Distance from Neutral Axis of Curved Beam/ln(Radius of Outer Fibre/Radius of Inner Fibre)

Home

FREE PDFs

🔍 Search