FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Radius of inner fiber of curved beam given bending stress at fiber Formula

GoRadius of inner fibre of curved beam of rectangular section given radius of centroidal axis Formula

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

Fx Copy

LaTeX Copy

Radius of Inner Fibre is the radius of the inner fiber of a curved structural element. Check FAQs

R i = \frac{M b \cdot h i}{A \cdot e \cdot σ b i}

R_i - Radius of Inner Fibre?M_b - Bending Moment in Curved Beam?h_i - Distance of Inner Fibre from Neutral Axis?A - Cross Sectional Area of Curved Beam?e - Eccentricity Between Centroidal and Neutral Axis?σ_bi - Bending Stress at Inner Fibre?

Radius of inner fiber of curved beam given bending stress at fiber Example

With values

With units

Only example

Here is how the Radius of inner fiber of curved beam given bending stress at fiber equation looks like with Values.

Here is how the Radius of inner fiber of curved beam given bending stress at fiber equation looks like with Units.

Here is how the Radius of inner fiber of curved beam given bending stress at fiber equation looks like.

75.0245 = \frac{245000 \cdot 37.5}{240 \cdot 6.5 \cdot 78.5}

75.0245mm = \frac{245000N*mm \cdot 37.5mm}{240mm² \cdot 6.5mm \cdot 78.5N/mm²}

75.0245 = \frac{245000 \cdot 37.5}{240 \cdot 6.5 \cdot 78.5}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Mechanical » Category

Machine Design » fx Radius of inner fiber of curved beam given bending stress at fiber

Radius of inner fiber of curved beam given bending stress at fiber Solution

Follow our step by step solution on how to calculate Radius of inner fiber of curved beam given bending stress at fiber?

FIRST Step Consider the formula

R i = \frac{M b \cdot h i}{A \cdot e \cdot σ b i}

Next Step Substitute values of Variables

∴

R i = \frac{245000N*mm \cdot 37.5mm}{240mm² \cdot 6.5mm \cdot 78.5N/mm²}

Next Step Convert Units

∴

R i = \frac{245N*m \cdot 0.0375m}{0.0002m² \cdot 0.0065m \cdot 7.9E+7Pa}

Next Step Prepare to Evaluate

∴

R i = \frac{245 \cdot 0.0375}{0.0002 \cdot 0.0065 \cdot 7.9E+7}

Next Step Evaluate

∴

R i = 0.0750244977951984m

Next Step Convert to Output's Unit

∴

R i = 75.0244977951984mm

LAST Step Rounding Answer

∴

R i = 75.0245mm

Radius of inner fiber of curved beam given bending stress at fiber Formula Elements

Variables

Radius of Inner Fibre

Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.

Symbol: R_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Inner Fibre

Bending Moment in Curved Beam

Bending moment in curved beam is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment in Curved Beam

Distance of Inner Fibre from Neutral Axis

Distance of Inner Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum.

Symbol: h_i

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Inner Fibre from Neutral Axis

Cross Sectional Area of Curved Beam

Cross sectional area of curved beam is the area of a two-dimensional section that is obtained when a beam is sliced perpendicular to some specified axis at a point.

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Curved Beam

Eccentricity Between Centroidal and Neutral Axis

Eccentricity Between Centroidal and Neutral Axis is the distance between the centroidal and the neutral axis of a curved structural element.

Symbol: e

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Eccentricity Between Centroidal and Neutral Axis

Bending Stress at Inner Fibre

Bending Stress at Inner Fibre is the amount of bending moment at the inner fiber of a curved structural element.

Symbol: σ_bi

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress at Inner Fibre

Other Formulas to find Radius of Inner Fibre

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

R i = R - \frac{y}{2}

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

R i = \frac{R o}{e^{\frac{y}{R N}}}

Go Radius of inner fiber of curved beam of circular section given radius of centroidal axis

R i = R - \frac{d}{2}

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

R i = {(\sqrt{4 \cdot R N} - \sqrt{R o})}^{2}

Other formulas in Radius of Fiber and Axis category

Go Radius of centroidal axis of curved beam given eccentricity between axis

R = R N + e

Go Radius of neutral axis of curved beam given eccentricity between axis

R N = R - e

Go Radius of neutral axis of curved beam given bending stress

R N = (\frac{M b \cdot y}{A \cdot σ b \cdot e}) + y

Go Radius of centroidal axis of curved beam given bending stress

R = (\frac{M b \cdot y}{A \cdot σ b \cdot (R N - y)}) + R N

How to Evaluate Radius of inner fiber of curved beam given bending stress at fiber?

Radius of inner fiber of curved beam given bending stress at fiber evaluator uses 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) to evaluate the Radius of Inner Fibre, Radius of inner fiber of curved beam given bending stress at 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 evaluate Radius of inner fiber of curved beam given bending stress at fiber using this online evaluator? To use this online evaluator for Radius of inner fiber of curved beam given bending stress at fiber, enter Bending Moment in Curved Beam (M_b), Distance of Inner Fibre from Neutral Axis (h_i), Cross Sectional Area of Curved Beam (A), Eccentricity Between Centroidal and Neutral Axis (e) & Bending Stress at Inner Fibre (σ_bi) and hit the calculate button.

FAQs on Radius of inner fiber of curved beam given bending stress at fiber

What is the formula to find Radius of inner fiber of curved beam given bending stress at fiber?

The formula of Radius of inner fiber of curved beam given bending stress at fiber is expressed as 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). Here is an example- 75024.5 = (245*0.0375)/(0.00024*0.0065*78500000).

How to calculate Radius of inner fiber of curved beam given bending stress at fiber?

With Bending Moment in Curved Beam (M_b), Distance of Inner Fibre from Neutral Axis (h_i), Cross Sectional Area of Curved Beam (A), Eccentricity Between Centroidal and Neutral Axis (e) & Bending Stress at Inner Fibre (σ_bi) we can find Radius of inner fiber of curved beam given bending stress at fiber using the formula - 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).

What are the other ways to Calculate Radius of Inner Fibre?

Here are the different ways to Calculate Radius of 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))
Radius of Inner Fibre=Radius of Centroidal Axis-Diameter of Circular Curved Beam/2

Can the Radius of inner fiber of curved beam given bending stress at fiber be negative?

No, the Radius of inner fiber of curved beam given bending stress at fiber, measured in Length cannot be negative.

Which unit is used to measure Radius of inner fiber of curved beam given bending stress at fiber?

Radius of inner fiber of curved beam given bending stress at fiber is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Radius of inner fiber of curved beam given bending stress at fiber can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

Radius of inner fiber of curved beam given bending stress at fiber Formula

​GoRadius of inner fibre of curved beam of rectangular section given radius of centroidal axis Formula

​GoRadius of inner fiber of rectangular curved beam given radius of neutral axis and outer fiber Formula

Radius of inner fiber of curved beam given bending stress at fiber Example

Radius of inner fiber of curved beam given bending stress at fiber Solution

Radius of inner fiber of curved beam given bending stress at fiber Formula Elements

Other Formulas to find Radius of Inner Fibre

Other formulas in Radius of Fiber and Axis category

How to Evaluate Radius of inner fiber of curved beam given bending stress at fiber?

FAQs on Radius of inner fiber of curved beam given bending stress at fiber

Variable Name

GoRadius of inner fibre of curved beam of rectangular section given radius of centroidal axis Formula

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