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

✖Bending Stress at Inner Fibre is the amount of bending moment at the inner fiber of a curved structural element.ⓘ Bending Stress at Inner Fibre [σ_bi]			+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%
✖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 Inner Fibre is the radius of the inner fiber of a curved structural element.ⓘ Radius of Inner Fibre [R_i]			+10% -10%
✖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 of Inner Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum.ⓘ Distance of inner fiber from neutral axis of curved beam given bending stress at fibre [h_i]

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Formula

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

Formula

`"h"_{"i"} = (("σ"_{"b"}"i")*("A")*"e"*("R"_{"i"}))/("M"_{"b"})`

Example

`"8.702741mm"=("78.5N/mm²"*("240mm²")*"6.5mm"*("70mm"))/("985000N*mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
h_i = (σ_bi*(A)*e*(R_i))/(M_b)
This formula uses 6 Variables

Variables Used

Distance of Inner Fibre from Neutral Axis - (Measured in Meter) - Distance of Inner Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum.
Bending Stress at Inner Fibre - (Measured in Pascal) - Bending Stress at Inner Fibre is the amount of bending moment at the inner fiber of a curved structural element.
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.
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.
Radius of Inner Fibre - (Measured in Meter) - Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.
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.

STEP 1: Convert Input(s) to Base Unit

Bending Stress at Inner Fibre: 78.5 Newton per Square Millimeter --> 78500000 Pascal (Check conversion here)
Cross sectional area of curved beam: 240 Square Millimeter --> 0.00024 Square Meter (Check conversion here)
Eccentricity Between Centroidal and Neutral Axis: 6.5 Millimeter --> 0.0065 Meter (Check conversion here)
Radius of Inner Fibre: 70 Millimeter --> 0.07 Meter (Check conversion here)
Bending moment in curved beam: 985000 Newton Millimeter --> 985 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_i = (σ_bi*(A)*e*(R_i))/(M_b) --> (78500000*(0.00024)*0.0065*(0.07))/(985)

Evaluating ... ...

h_i = 0.00870274111675127

STEP 3: Convert Result to Output's Unit

0.00870274111675127 Meter -->8.70274111675127 Millimeter (Check conversion here)

FINAL ANSWER

8.70274111675127 ≈ 8.702741 Millimeter <-- Distance of Inner Fibre from Neutral Axis

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design Against Static Load » Design of Curved Beams » Distance of inner fiber from neutral axis of curved beam given bending stress at fibre

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Created by Saurabh Patil

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

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National Institute Of Technology (NIT), Hamirpur

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

What is fracture point?

The Fracture Point can be defined as the breaking limit of material beyond which if further stress is applied it will rupture and break apart. It is basically a material strength gauging parameter.

How to Calculate Distance of inner fiber from neutral axis of curved beam given bending stress at fibre?

Distance of inner fiber from neutral axis of curved beam given bending stress at fibre calculator uses 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) to calculate the Distance of Inner Fibre from Neutral Axis, Distance of inner fiber from neutral axis of curved beam given bending stress at fibre is the distance between the innermost fiber and the neutral axis of the curved beam. Distance of Inner Fibre from Neutral Axis is denoted by h_i symbol.

How to calculate Distance of inner fiber from neutral axis of curved beam given bending stress at fibre using this online calculator? To use this online calculator for Distance of inner fiber from neutral axis of curved beam given bending stress at fibre, enter Bending Stress at Inner Fibre (σ_bi), Cross sectional area of curved beam (A), Eccentricity Between Centroidal and Neutral Axis (e), Radius of Inner Fibre (R_i) & Bending moment in curved beam (M_b) and hit the calculate button. Here is how the Distance of inner fiber from neutral axis of curved beam given bending stress at fibre calculation can be explained with given input values -> 8702.741 = (78500000*(0.00024)*0.0065*(0.07))/(985).

FAQ

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

Distance of inner fiber from neutral axis of curved beam given bending stress at fibre is the distance between the innermost fiber and the neutral axis of the curved beam and is represented as h_i = (σ_bi*(A)*e*(R_i))/(M_b) or 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). Bending Stress at Inner Fibre is the amount of bending moment at the inner fiber of a curved structural element, 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, Eccentricity Between Centroidal and Neutral Axis is the distance between the centroidal and the neutral axis of a curved structural element, Radius of Inner Fibre is the radius of the inner fiber of a curved structural element & 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.

How to calculate Distance of inner fiber from neutral axis of curved beam given bending stress at fibre?

Distance of inner fiber from neutral axis of curved beam given bending stress at fibre is the distance between the innermost fiber and the neutral axis of the curved beam is calculated using 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). To calculate Distance of inner fiber from neutral axis of curved beam given bending stress at fibre, you need Bending Stress at Inner Fibre (σ_bi), Cross sectional area of curved beam (A), Eccentricity Between Centroidal and Neutral Axis (e), Radius of Inner Fibre (R_i) & Bending moment in curved beam (M_b). With our tool, you need to enter the respective value for 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 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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