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

✖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 [R_N]			+10% -10%
✖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 fiber of circular curved beam given radius of neutral axis and outer fiber [R_i]

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

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Inner Fibre = (sqrt(4*Radius of Neutral Axis)-sqrt(Radius of Outer Fibre))^2
R_i = (sqrt(4*R_N)-sqrt(R_o))^2
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 Inner Fibre - (Measured in Meter) - Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Neutral Axis: 83.22787 Millimeter --> 0.08322787 Meter (Check conversion here)
Radius of Outer Fibre: 96 Millimeter --> 0.096 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_i = (sqrt(4*R_N)-sqrt(R_o))^2 --> (sqrt(4*0.08322787)-sqrt(0.096))^2

Evaluating ... ...

R_i = 0.0713670655281752

STEP 3: Convert Result to Output's Unit

0.0713670655281752 Meter -->71.3670655281752 Millimeter (Check conversion here)

FINAL ANSWER

71.3670655281752 ≈ 71.36707 Millimeter <-- Radius of Inner Fibre

(Calculation completed in 00.004 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 inner fiber of circular curved beam given radius of neutral axis and outer fiber Formula

LaTeX Go

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

Methods to Reduce a Part’s Stress Concentration Factor

A number of stress-relieving methods are available to reduce the stress concentration factor of a given part, including:
1. Providing a fillet radius so that the cross-section may change gradually.
2. Using an elliptical fillet.
3. Use several small notches rather than a long one, if a notch is unavoidable.
4. Use narrow notches rather than wide notches, if a projection is unavoidable.
5. Using stress-relieving grooves.

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

Radius of inner fiber of circular curved beam given radius of neutral axis and outer fiber calculator uses Radius of Inner Fibre = (sqrt(4*Radius of Neutral Axis)-sqrt(Radius of Outer Fibre))^2 to calculate the Radius of Inner Fibre, Radius of inner fiber of circular curved beam given radius of neutral axis and outer fiber is the radius of the innermost fiber of a curved beam and is the radius of curvature of the inner surface of the beam. Radius of Inner Fibre is denoted by R_i symbol.

How to calculate Radius of inner fiber of circular curved beam given radius of neutral axis and outer fiber using this online calculator? To use this online calculator for Radius of inner fiber of circular curved beam given radius of neutral axis and outer fiber, enter Radius of Neutral Axis (R_N) & Radius of Outer Fibre (R_o) and hit the calculate button. Here is how the Radius of inner fiber of circular curved beam given radius of neutral axis and outer fiber calculation can be explained with given input values -> 76720.59 = (sqrt(4*0.08322787)-sqrt(0.096))^2.

FAQ

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

Radius of inner fiber of circular curved beam given radius of neutral axis and outer fiber is the radius of the innermost fiber of a curved beam and is the radius of curvature of the inner surface of the beam and is represented as R_i = (sqrt(4*R_N)-sqrt(R_o))^2 or Radius of Inner Fibre = (sqrt(4*Radius of Neutral Axis)-sqrt(Radius of Outer Fibre))^2. 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 is the radius of the outer fiber of a curved structural element.

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

Radius of inner fiber of circular curved beam given radius of neutral axis and outer fiber is the radius of the innermost fiber of a curved beam and is the radius of curvature of the inner surface of the beam is calculated using Radius of Inner Fibre = (sqrt(4*Radius of Neutral Axis)-sqrt(Radius of Outer Fibre))^2. To calculate Radius of inner fiber of circular curved beam given radius of neutral axis and outer fiber, you need Radius of Neutral Axis (R_N) & Radius of Outer Fibre (R_o). With our tool, you need to enter the respective value for Radius of Neutral Axis & Radius of Outer 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 Inner Fibre?

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

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

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