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

✖Radius of Centroidal Axis is the radius of the axis of the curved beam passing through the centroid point.ⓘ Radius of Centroidal Axis [R]			+10% -10%
✖Distance from Neutral Axis of Curved Beam is defined as the distance from an axis in the cross-section of a curved beam along which there are no longitudinal stresses or strains.ⓘ Distance from Neutral Axis of Curved Beam [y]			+10% -10%

✖Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.ⓘ Radius of inner fibre of curved beam of rectangular section given radius of centroidal axis [R_i]

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

Formula

`"R"_{"i"} = ("R")-("y"/2)`

Example

`"69.5mm"=("80mm")-("21mm"/2)`

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

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Inner Fibre = (Radius of Centroidal Axis)-(Distance from Neutral Axis of Curved Beam/2)
R_i = (R)-(y/2)
This formula uses 3 Variables

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 Centroidal Axis - (Measured in Meter) - Radius of Centroidal Axis is the radius of the axis of the curved beam passing through the centroid point.
Distance from Neutral Axis of Curved Beam - (Measured in Meter) - Distance from Neutral Axis of Curved Beam is defined as the distance from an axis in the cross-section of a curved beam along which there are no longitudinal stresses or strains.

STEP 1: Convert Input(s) to Base Unit

Radius of Centroidal Axis: 80 Millimeter --> 0.08 Meter (Check conversion here)
Distance from Neutral Axis of Curved Beam: 21 Millimeter --> 0.021 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_i = (R)-(y/2) --> (0.08)-(0.021/2)

Evaluating ... ...

R_i = 0.0695

STEP 3: Convert Result to Output's Unit

0.0695 Meter -->69.5 Millimeter (Check conversion here)

FINAL ANSWER

69.5 Millimeter <-- Radius of Inner 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 inner fibre of curved beam of rectangular section given radius of centroidal axis Formula

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

What Does Stress Concentration Factor (Kt) Mean?

A stress concentration factor (Kt) is a dimensionless factor that is used to quantify how concentrated the stress is in a mechanical part. It is defined as the ratio of the highest stress in the part compared to reference stress.
A stress concentration, also known as a stress riser/raiser, is a point in a part where the stress is significantly greater than its surrounding area. Stress concentrations occur as a result of irregularities in the geometry or within the material of a component structure that cause an interruption of the stress flow. These interruptions typically arise from discontinuities such as holes, grooves, notches, and fillets. Stress concentrations may also be caused by accidental damage such as nicks and scratches. A discontinuity’s degree of concentration under typical tensile loads is usually expressed by the non-dimensional stress concentration factor (Kt), which is the ratio of the highest stress to the reference (far-field) stress

How to Calculate Radius of inner fibre of curved beam of rectangular section given radius of centroidal axis?

Radius of inner fibre of curved beam of rectangular section given radius of centroidal axis calculator uses Radius of Inner Fibre = (Radius of Centroidal Axis)-(Distance from Neutral Axis of Curved Beam/2) to calculate the Radius of Inner Fibre, Radius of inner fibre of curved beam of rectangular section given radius of centroidal axis 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 fibre of curved beam of rectangular section given radius of centroidal axis using this online calculator? To use this online calculator for Radius of inner fibre of curved beam of rectangular section given radius of centroidal axis, enter Radius of Centroidal Axis (R) & Distance from Neutral Axis of Curved Beam (y) and hit the calculate button. Here is how the Radius of inner fibre of curved beam of rectangular section given radius of centroidal axis calculation can be explained with given input values -> 69500 = (0.08)-(0.021/2).

FAQ

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

Radius of inner fibre of curved beam of rectangular section given radius of centroidal axis 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 = (R)-(y/2) or Radius of Inner Fibre = (Radius of Centroidal Axis)-(Distance from Neutral Axis of Curved Beam/2). Radius of Centroidal Axis is the radius of the axis of the curved beam passing through the centroid point & Distance from Neutral Axis of Curved Beam is defined as the distance from an axis in the cross-section of a curved beam along which there are no longitudinal stresses or strains.

How to calculate Radius of inner fibre of curved beam of rectangular section given radius of centroidal axis?

Radius of inner fibre of curved beam of rectangular section given radius of centroidal axis 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 = (Radius of Centroidal Axis)-(Distance from Neutral Axis of Curved Beam/2). To calculate Radius of inner fibre of curved beam of rectangular section given radius of centroidal axis, you need Radius of Centroidal Axis (R) & Distance from Neutral Axis of Curved Beam (y). With our tool, you need to enter the respective value for Radius of Centroidal Axis & Distance from Neutral Axis of Curved Beam 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 Centroidal Axis & Distance from Neutral Axis of Curved Beam. We can use 4 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 Outer Fibre)/(e^(Distance from Neutral Axis of Curved Beam/Radius of Neutral Axis))
Radius of Inner Fibre = (Radius of Centroidal Axis)-(Diameter of circular curved beam/2)
Radius of Inner Fibre = (sqrt(4*Radius of Neutral Axis)-sqrt(Radius of Outer Fibre))^2

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