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

STEP 0: Pre-Calculation Summary
Formula Used
Radius of Outer Fibre = (sqrt(4*Radius of Neutral Axis)-sqrt(Radius of Inner Fibre))^2
Ro = (sqrt(4*RN)-sqrt(Ri))^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 Outer Fibre - (Measured in Meter) - Radius of Outer Fibre is the radius of the outer 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 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 Neutral Axis: 78 Millimeter --> 0.078 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
Ro = (sqrt(4*RN)-sqrt(Ri))^2 --> (sqrt(4*0.078)-sqrt(0.07))^2
Evaluating ... ...
Ro = 0.0864327487694213
STEP 3: Convert Result to Output's Unit
0.0864327487694213 Meter -->86.4327487694213 Millimeter (Check conversion here)
FINAL ANSWER
86.4327487694213 β‰ˆ 86.43275 Millimeter <-- Radius of Outer Fibre
(Calculation completed in 00.004 seconds)

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

Radius of Outer Fibre = (sqrt(4*Radius of Neutral Axis)-sqrt(Radius of Inner Fibre))^2
Ro = (sqrt(4*RN)-sqrt(Ri))^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 outer fiber of circular curved beam given radius of neutral axis and inner fiber?

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

How to calculate Radius of outer fiber of circular curved beam given radius of neutral axis and inner fiber using this online calculator? To use this online calculator for Radius of outer fiber of circular curved beam given radius of neutral axis and inner fiber, enter Radius of Neutral Axis (RN) & Radius of Inner Fibre (Ri) and hit the calculate button. Here is how the Radius of outer fiber of circular curved beam given radius of neutral axis and inner fiber calculation can be explained with given input values -> 86432.75 = (sqrt(4*0.078)-sqrt(0.07))^2.

FAQ

What is Radius of outer fiber of circular curved beam given radius of neutral axis and inner fiber?
Radius of outer fiber of circular curved beam given radius of neutral axis and inner fiber is the radius of the outermost fiber of a curved beam and is the radius of curvature of the outer surface of the beam and is represented as Ro = (sqrt(4*RN)-sqrt(Ri))^2 or Radius of Outer Fibre = (sqrt(4*Radius of Neutral Axis)-sqrt(Radius of Inner 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 Inner Fibre is the radius of the inner fiber of a curved structural element.
How to calculate Radius of outer fiber of circular curved beam given radius of neutral axis and inner fiber?
Radius of outer fiber of circular curved beam given radius of neutral axis and inner fiber is the radius of the outermost fiber of a curved beam and is the radius of curvature of the outer surface of the beam is calculated using Radius of Outer Fibre = (sqrt(4*Radius of Neutral Axis)-sqrt(Radius of Inner Fibre))^2. To calculate Radius of outer fiber of circular curved beam given radius of neutral axis and inner fiber, you need Radius of Neutral Axis (RN) & Radius of Inner Fibre (Ri). With our tool, you need to enter the respective value for Radius of Neutral Axis & 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 Outer Fibre?
In this formula, Radius of Outer Fibre uses Radius of Neutral Axis & Radius of Inner Fibre. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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 Outer Fibre = (Radius of Inner Fibre)*(e^(Distance from Neutral Axis of Curved Beam/Radius of Neutral Axis))
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