Radius of neutral axis of curved beam given bending stress Calculator

✖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.ⓘ Bending moment in curved beam [M_b]			+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%
✖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.ⓘ Cross sectional area of curved beam [A]			+10% -10%
✖Bending stress or allowable bending stress is the amount of bending stress that can be generated in a material before its failure or fracture.ⓘ Bending Stress [σ_b]			+10% -10%
✖Eccentricity Between Centroidal and Neutral Axis is the distance between the centroidal and the neutral axis of a curved structural element.ⓘ Eccentricity Between Centroidal and Neutral Axis [e]			+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 of curved beam given bending stress [R_N]

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Formula

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Radius of neutral axis of curved beam given bending stress

Formula

`"R"_{"N"} = (("M"_{"b"}*"y")/("A"*("σ"_{"b"})*"e"))+("y")`

Example

`"271.1814mm"=(("985000N*mm"*"21mm")/("240mm²"*("53N/mm²")*"6.5mm"))+("21mm")`

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Radius of neutral axis of curved beam given bending stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_N = ((M_b*y)/(A*(σ_b)*e))+(y)
This formula uses 6 Variables

Variables Used

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.
Bending moment in curved beam - (Measured in Newton Meter) - 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.
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.
Cross sectional area of curved beam - (Measured in Square Meter) - 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.
Bending Stress - (Measured in Pascal) - Bending stress or allowable bending stress is the amount of bending stress that can be generated in a material before its failure or fracture.
Eccentricity Between Centroidal and Neutral Axis - (Measured in Meter) - Eccentricity Between Centroidal and Neutral Axis is the distance between the centroidal and the neutral axis of a curved structural element.

STEP 1: Convert Input(s) to Base Unit

Bending moment in curved beam: 985000 Newton Millimeter --> 985 Newton Meter (Check conversion here)
Distance from Neutral Axis of Curved Beam: 21 Millimeter --> 0.021 Meter (Check conversion here)
Cross sectional area of curved beam: 240 Square Millimeter --> 0.00024 Square Meter (Check conversion here)
Bending Stress: 53 Newton per Square Millimeter --> 53000000 Pascal (Check conversion here)
Eccentricity Between Centroidal and Neutral Axis: 6.5 Millimeter --> 0.0065 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_N = ((M_b*y)/(A*(σ_b)*e))+(y) --> ((985*0.021)/(0.00024*(53000000)*0.0065))+(0.021)

Evaluating ... ...

R_N = 0.271181422351234

STEP 3: Convert Result to Output's Unit

0.271181422351234 Meter -->271.181422351234 Millimeter (Check conversion here)

FINAL ANSWER

271.181422351234 ≈ 271.1814 Millimeter <-- Radius of Neutral Axis

(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 neutral axis of curved beam given bending stress Formula

What Does Fracture Toughness Mean?

In metallurgy, fracture toughness refers to a property that describes the ability of a material containing a crack to resist further fracture. Fracture toughness is a quantitative way of expressing a material's resistance to brittle fracture when a crack is present. If the material has high fracture toughness, it is more prone to ductile fracture. Brittle fracture is characteristic of materials with less fracture toughness.
Fracture toughness values may serve as a basis for:
Material comparison
Selection
Structural flaw tolerance assessment
Quality assurance

How to Calculate Radius of neutral axis of curved beam given bending stress?

Radius of neutral axis of curved beam given bending stress calculator uses 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) to calculate the Radius of Neutral Axis, Radius of neutral axis of curved beam given bending stress is the radius of the axis or radius of curvature of that axis of a curved beam that has zero tensile or compressive stresses. Radius of Neutral Axis is denoted by R_N symbol.

How to calculate Radius of neutral axis of curved beam given bending stress using this online calculator? To use this online calculator for Radius of neutral axis of curved beam given bending stress, enter Bending moment in curved beam (M_b), Distance from Neutral Axis of Curved Beam (y), Cross sectional area of curved beam (A), Bending Stress (σ_b) & Eccentricity Between Centroidal and Neutral Axis (e) and hit the calculate button. Here is how the Radius of neutral axis of curved beam given bending stress calculation can be explained with given input values -> 271181.4 = ((985*0.021)/(0.00024*(53000000)*0.0065))+(0.021).

FAQ

What is Radius of neutral axis of curved beam given bending stress?

Radius of neutral axis of curved beam given bending stress is the radius of the axis or radius of curvature of that axis of a curved beam that has zero tensile or compressive stresses and is represented as R_N = ((M_b*y)/(A*(σ_b)*e))+(y) or 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). 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, 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, 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, Bending stress or allowable bending stress is the amount of bending stress that can be generated in a material before its failure or fracture & Eccentricity Between Centroidal and Neutral Axis is the distance between the centroidal and the neutral axis of a curved structural element.

How to calculate Radius of neutral axis of curved beam given bending stress?

Radius of neutral axis of curved beam given bending stress is the radius of the axis or radius of curvature of that axis of a curved beam that has zero tensile or compressive stresses is calculated using 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). To calculate Radius of neutral axis of curved beam given bending stress, you need Bending moment in curved beam (M_b), Distance from Neutral Axis of Curved Beam (y), Cross sectional area of curved beam (A), Bending Stress (σ_b) & Eccentricity Between Centroidal and Neutral Axis (e). With our tool, you need to enter the respective value for 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 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 Neutral Axis?

In this formula, Radius of Neutral Axis uses 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. We can use 3 other way(s) to calculate the same, which is/are as follows -

Radius of Neutral Axis = Radius of Centroidal Axis-Eccentricity Between Centroidal and Neutral Axis
Radius of Neutral Axis = Distance from Neutral Axis of Curved Beam/ln(Radius of Outer Fibre/Radius of Inner Fibre)
Radius of Neutral Axis = (((sqrt(Radius of Outer Fibre))+(sqrt(Radius of Inner Fibre)))^2)/4

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