Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius Calculator

✖Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.ⓘ Radius of Inner Fibre [R_i]			+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%

✖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 of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius [y]

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Formula

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Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius

Formula

`"y" = ("R"_{"i"})*ln("R"_{"o"}/"R"_{"i"})`

Example

`"17.59201mm"=("70mm")*ln("90mm"/"70mm")`

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Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance from Neutral Axis of Curved Beam = (Radius of Inner Fibre)*ln(Radius of Outer Fibre/Radius of Inner Fibre)
y = (R_i)*ln(R_o/R_i)
This formula uses 1 Functions, 3 Variables

Functions Used

ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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 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.

STEP 1: Convert Input(s) to Base Unit

Radius of Inner Fibre: 70 Millimeter --> 0.07 Meter (Check conversion here)
Radius of Outer Fibre: 90 Millimeter --> 0.09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = (R_i)*ln(R_o/R_i) --> (0.07)*ln(0.09/0.07)

Evaluating ... ...

y = 0.0175920099796634

STEP 3: Convert Result to Output's Unit

0.0175920099796634 Meter -->17.5920099796634 Millimeter (Check conversion here)

FINAL ANSWER

17.5920099796634 ≈ 17.59201 Millimeter <-- Distance from Neutral Axis of Curved Beam

(Calculation completed in 00.004 seconds)

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Created by Saurabh Patil

Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore

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< 20 Design of Curved Beams Calculators

Bending stress in fibre of curved beam given radius of centroidal axis

Go Bending Stress = ((Bending moment in curved beam*Distance from Neutral Axis of Curved Beam)/(Cross sectional area of curved beam*(Radius of Centroidal Axis-Radius of Neutral Axis)*(Radius of Neutral Axis-Distance from Neutral Axis of Curved Beam)))

Bending moment at fibre of curved beam given bending stress and radius of centroidal axis

Go Bending moment in curved beam = (Bending Stress*(Cross sectional area of curved beam*(Radius of Centroidal Axis-Radius of Neutral Axis)*(Radius of Neutral Axis-Distance from Neutral Axis of Curved Beam)))/Distance from Neutral Axis of Curved Beam

Bending stress in fibre of curved beam given eccentricity

Go Bending Stress = ((Bending moment in curved beam*Distance from Neutral Axis of Curved Beam)/(Cross sectional area of curved beam*(Eccentricity Between Centroidal and Neutral Axis)*(Radius of Neutral Axis-Distance from Neutral Axis of Curved Beam)))

Bending stress in fiber of curved beam

Go Bending Stress = (Bending moment in curved beam*Distance from Neutral Axis of Curved Beam)/(Cross sectional area of curved beam*(Eccentricity Between Centroidal and Neutral Axis)*(Radius of Neutral Axis-Distance from Neutral Axis of Curved Beam))

Bending moment at fibre of curved beam given bending stress and eccentricity

Go Bending moment in curved beam = (Bending Stress*(Cross sectional area of curved beam*(Radius of Centroidal Axis-Radius of Neutral Axis)*(Eccentricity Between Centroidal and Neutral Axis)))/Distance from Neutral Axis of Curved Beam

Eccentricity between centroidal and neutral axis of curved beam given bending stress at inner fibre

Go Eccentricity Between Centroidal and Neutral Axis = (Bending moment in curved beam*Distance of Inner Fibre from Neutral Axis)/((Cross sectional area of curved beam)*Bending Stress at Inner Fibre*(Radius of Inner Fibre))

Eccentricity between centroidal and neutral axis of curved beam given bending stress at outer fibre

Go Eccentricity Between Centroidal and Neutral Axis = (Bending moment in curved beam*Distance of Outer Fibre from Neutral Axis)/((Cross sectional area of curved beam)*Bending Stress at Outer Fibre*(Radius of Outer Fibre))

Distance of inner fiber from neutral axis of curved beam given bending stress at fibre

Go Distance of Inner Fibre from Neutral Axis = (Bending Stress at Inner Fibre*(Cross sectional area of curved beam)*Eccentricity Between Centroidal and Neutral Axis*(Radius of Inner Fibre))/(Bending moment in curved beam)

Distance of outer fibre from neutral axis of curved beam given bending stress at fibre

Go Distance of Outer Fibre from Neutral Axis = (Bending Stress at Outer Fibre*(Cross sectional area of curved beam)*Eccentricity Between Centroidal and Neutral Axis*(Radius of Outer Fibre))/(Bending moment in curved beam)

Area of cross section of curved beam given bending stress at inner fiber

Go Cross sectional area of curved beam = (Bending moment in curved beam*Distance of Inner Fibre from Neutral Axis)/((Eccentricity Between Centroidal and Neutral Axis)*Bending Stress at Inner Fibre*(Radius of Inner Fibre))

Area of cross section of curved beam given bending stress at outer fiber

Go Cross sectional area of curved beam = (Bending moment in curved beam*Distance of Outer Fibre from Neutral Axis)/((Eccentricity Between Centroidal and Neutral Axis)*Bending Stress at Outer Fibre*(Radius of Outer Fibre))

Bending stress at inner fibre of curved beam given bending moment

Go Bending Stress at 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*(Radius of Inner Fibre))

Bending moment in curved beam given bending stress at inner fibre

Go Bending moment in curved beam = (Bending Stress at Inner Fibre*(Cross sectional area of curved beam)*Eccentricity Between Centroidal and Neutral Axis*(Radius of Inner Fibre))/(Distance of Inner Fibre from Neutral Axis)

Bending stress at outer fibre of curved beam given bending moment

Go Bending Stress at 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*(Radius of Outer Fibre))

Bending moment in curved beam given bending stress at outer fibre

Go Bending moment in curved beam = (Bending Stress at Outer Fibre*(Cross sectional area of curved beam)*Eccentricity Between Centroidal and Neutral Axis*(Radius of Outer Fibre))/(Distance of Outer Fibre from Neutral Axis)

Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius

Go Distance from Neutral Axis of Curved Beam = (Radius of Inner Fibre)*ln(Radius of Outer Fibre/Radius of Inner Fibre)

Eccentricity between centroidal and neutral axis of curved beam given radius of both axis

Go Eccentricity Between Centroidal and Neutral Axis = Radius of Centroidal Axis-Radius of Neutral Axis

Eccentricity between central and neutral axis of curved beam

Go Eccentricity Between Centroidal and Neutral Axis = Radius of Centroidal Axis-Radius of Neutral Axis

Distance of fibre from neutral axis of rectangular curved beam given radius of centroidal axis

Go Distance from Neutral Axis of Curved Beam = 2*(Radius of Centroidal Axis-Radius of Inner Fibre)

Diameter of circular curved beam given radius of centroidal axis

Go Diameter of circular curved beam = 2*(Radius of Centroidal Axis-Radius of Inner Fibre)

Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius Formula

Distance from Neutral Axis of Curved Beam = (Radius of Inner Fibre)*ln(Radius of Outer Fibre/Radius of Inner Fibre)
y = (R_i)*ln(R_o/R_i)

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 Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius?

Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius calculator uses Distance from Neutral Axis of Curved Beam = (Radius of Inner Fibre)*ln(Radius of Outer Fibre/Radius of Inner Fibre) to calculate the Distance from Neutral Axis of Curved Beam, Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius is the distance between the fiber of the curved beam and the neutral axis at which the resultant stress is zero. Distance from Neutral Axis of Curved Beam is denoted by y symbol.

How to calculate Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius using this online calculator? To use this online calculator for Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius, enter Radius of Inner Fibre (R_i) & Radius of Outer Fibre (R_o) and hit the calculate button. Here is how the Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius calculation can be explained with given input values -> 17592.01 = (0.07)*ln(0.09/0.07).

FAQ

What is Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius?

Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius is the distance between the fiber of the curved beam and the neutral axis at which the resultant stress is zero and is represented as y = (R_i)*ln(R_o/R_i) or Distance from Neutral Axis of Curved Beam = (Radius of Inner Fibre)*ln(Radius of Outer Fibre/Radius of Inner Fibre). Radius of Inner Fibre is the radius of the inner fiber of a curved structural element & Radius of Outer Fibre is the radius of the outer fiber of a curved structural element.

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

Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius is the distance between the fiber of the curved beam and the neutral axis at which the resultant stress is zero is calculated using Distance from Neutral Axis of Curved Beam = (Radius of Inner Fibre)*ln(Radius of Outer Fibre/Radius of Inner Fibre). To calculate Distance of fibre from neutral axis of rectangular curved beam given inner and outer fiber radius, you need Radius of Inner Fibre (R_i) & Radius of Outer Fibre (R_o). With our tool, you need to enter the respective value for Radius of Inner Fibre & 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 Distance from Neutral Axis of Curved Beam?

In this formula, Distance from Neutral Axis of Curved Beam uses Radius of Inner Fibre & Radius of Outer Fibre. We can use 1 other way(s) to calculate the same, which is/are as follows -

Distance from Neutral Axis of Curved Beam = 2*(Radius of Centroidal Axis-Radius of Inner Fibre)

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