Radius of inner fiber of rectangular curved beam given radius of neutral axis and outer fiber 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%
✖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 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 Inner Fibre is the radius of the inner fiber of a curved structural element.ⓘ Radius of inner fiber of rectangular curved beam given radius of neutral axis and outer fiber [R_i]

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

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Inner Fibre = (Radius of Outer Fibre)/(e^(Distance from Neutral Axis of Curved Beam/Radius of Neutral Axis))
R_i = (R_o)/(e^(y/R_N))
This formula uses 1 Constants, 4 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

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 Outer Fibre - (Measured in Meter) - Radius of Outer Fibre is the radius of the outer fiber of a curved structural element.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Outer Fibre: 96 Millimeter --> 0.096 Meter (Check conversion here)
Distance from Neutral Axis of Curved Beam: 21 Millimeter --> 0.021 Meter (Check conversion here)
Radius of Neutral Axis: 83.22787 Millimeter --> 0.08322787 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_i = (R_o)/(e^(y/R_N)) --> (0.096)/(e^(0.021/0.08322787))

Evaluating ... ...

R_i = 0.0745916720472387

STEP 3: Convert Result to Output's Unit

0.0745916720472387 Meter -->74.5916720472387 Millimeter (Check conversion here)

FINAL ANSWER

74.5916720472387 ≈ 74.59167 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 rectangular curved beam given radius of neutral axis and outer fiber Formula

LaTeX Go

Radius of Inner Fibre = (Radius of Outer Fibre)/(e^(Distance from Neutral Axis of Curved Beam/Radius of Neutral Axis))
R_i = (R_o)/(e^(y/R_N))

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 fiber of rectangular curved beam given radius of neutral axis and outer fiber?

Radius of inner fiber of rectangular curved beam given radius of neutral axis and outer fiber calculator uses Radius of Inner Fibre = (Radius of Outer Fibre)/(e^(Distance from Neutral Axis of Curved Beam/Radius of Neutral Axis)) to calculate the Radius of Inner Fibre, Radius of inner fiber of rectangular 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 rectangular 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 rectangular curved beam given radius of neutral axis and outer fiber, enter Radius of Outer Fibre (R_o), Distance from Neutral Axis of Curved Beam (y) & Radius of Neutral Axis (R_N) and hit the calculate button. Here is how the Radius of inner fiber of rectangular curved beam given radius of neutral axis and outer fiber calculation can be explained with given input values -> 69929.69 = (0.096)/(e^(0.021/0.08322787)).

FAQ

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

Radius of inner fiber of rectangular 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 = (R_o)/(e^(y/R_N)) or Radius of Inner Fibre = (Radius of Outer Fibre)/(e^(Distance from Neutral Axis of Curved Beam/Radius of Neutral Axis)). Radius of Outer Fibre is the radius of the outer fiber of a curved structural element, 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 & Radius of Neutral Axis is the radius of the axis of the curved beam passing through the points which have zero stress on them.

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

Radius of inner fiber of rectangular 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 = (Radius of Outer Fibre)/(e^(Distance from Neutral Axis of Curved Beam/Radius of Neutral Axis)). To calculate Radius of inner fiber of rectangular curved beam given radius of neutral axis and outer fiber, you need Radius of Outer Fibre (R_o), Distance from Neutral Axis of Curved Beam (y) & Radius of Neutral Axis (R_N). With our tool, you need to enter the respective value for Radius of Outer Fibre, Distance from Neutral Axis of Curved Beam & Radius of Neutral Axis 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 Outer Fibre, Distance from Neutral Axis of Curved Beam & Radius of Neutral Axis. 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 Centroidal Axis-Diameter of Circular Curved Beam/2

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