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
RN = ((sqrt(Ro)+sqrt(Ri))^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: 96 Millimeter --> 0.096 Meter (Check conversion ​here)
Radius of Inner Fibre: 76 Millimeter --> 0.076 Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RN = ((sqrt(Ro)+sqrt(Ri))^2)/4 --> ((sqrt(0.096)+sqrt(0.076))^2)/4
Evaluating ... ...
RN = 0.0857083130081252
STEP 3: Convert Result to Output's Unit
0.0857083130081252 Meter -->85.7083130081252 Millimeter (Check conversion ​here)
FINAL ANSWER
85.7083130081252 85.70831 Millimeter <-- Radius of Neutral Axis
(Calculation completed in 00.007 seconds)

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Radius of Fiber and Axis Calculators

Radius of centroidal axis of curved beam given bending stress
​ LaTeX ​ 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
​ LaTeX ​ 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 centroidal axis of curved beam given eccentricity between axis
​ LaTeX ​ 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
​ LaTeX ​ Go Radius of Neutral Axis = Radius of Centroidal Axis-Eccentricity Between Centroidal and Neutral Axis

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

​LaTeX ​Go
Radius of Neutral Axis = ((sqrt(Radius of Outer Fibre)+sqrt(Radius of Inner Fibre))^2)/4
RN = ((sqrt(Ro)+sqrt(Ri))^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 RN 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 (Ro) & Radius of Inner Fibre (Ri) 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 -> 85708.31 = ((sqrt(0.096)+sqrt(0.076))^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 RN = ((sqrt(Ro)+sqrt(Ri))^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 (Ro) & Radius of Inner Fibre (Ri). 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)
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