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

✖Bending Stress at Outer Fibre is the amount of bending moment at the outer fiber of a curved structural element.ⓘ Bending Stress at Outer Fibre [σ_bo]			+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 Outer Fibre is the radius of the outer fiber of a curved structural element.ⓘ Radius of Outer Fibre [R_o]			+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 Outer Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum.ⓘ Distance of outer fibre from neutral axis of curved beam given bending stress at fibre [h_o]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
h_o = (σ_bo*A*e*R_o)/(M_b)
This formula uses 6 Variables

Variables Used

Distance of Outer Fibre from Neutral Axis - (Measured in Meter) - Distance of Outer Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum.
Bending Stress at Outer Fibre - (Measured in Pascal) - Bending Stress at Outer Fibre is the amount of bending moment at the outer 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 Outer Fibre - (Measured in Meter) - Radius of Outer Fibre is the radius of the outer 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 Outer Fibre: 85 Newton per Square Millimeter --> 85000000 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: 2 Millimeter --> 0.002 Meter (Check conversion here)
Radius of Outer Fibre: 90 Millimeter --> 0.09 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_o = (σ_bo*A*e*R_o)/(M_b) --> (85000000*0.00024*0.002*0.09)/(985)

Evaluating ... ...

h_o = 0.00372791878172589

STEP 3: Convert Result to Output's Unit

0.00372791878172589 Meter -->3.72791878172589 Millimeter (Check conversion here)

FINAL ANSWER

3.72791878172589 ≈ 3.727919 Millimeter <-- Distance of Outer Fibre from Neutral Axis

(Calculation completed in 00.004 seconds)

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< Design of Curved Beams Calculators

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))

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

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

Eccentricity between central and neutral axis of curved beam

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

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

What Does Brittle Fracture Mean?

A brittle fracture is the fracture of a metallic object or other material without appreciable prior plastic deformation. It is a break in a brittle piece of metal that failed because stress exceeded cohesion. The brittle fracture of normally ductile steels occurs primarily in large, continuous, box-like structures such as:
Box beams
Pressure vessels
Tanks
Pipes
Ships
Bridges
Other restrained structure
Brittle fractures that occur in service are invariably initiated by defects that are initially present in the manufactured product or fabricated structure, or by defects that develop during service.

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

Distance of outer fibre from neutral axis of curved beam given bending stress at fibre calculator uses 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) to calculate the Distance of Outer Fibre from Neutral Axis, The Distance of outer fibre from neutral axis of curved beam given bending stress at fibre is the distance between the outermost fiber and the neutral axis of the curved beam. Distance of Outer Fibre from Neutral Axis is denoted by h_o symbol.

How to calculate Distance of outer fibre from neutral axis of curved beam given bending stress at fibre using this online calculator? To use this online calculator for Distance of outer fibre from neutral axis of curved beam given bending stress at fibre, enter Bending Stress at Outer Fibre (σ_bo), Cross Sectional Area of Curved Beam (A), Eccentricity Between Centroidal and Neutral Axis (e), Radius of Outer Fibre (R_o) & Bending Moment in Curved Beam (M_b) and hit the calculate button. Here is how the Distance of outer fibre from neutral axis of curved beam given bending stress at fibre calculation can be explained with given input values -> 3727.919 = (85000000*0.00024*0.002*0.09)/(985).

FAQ

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

The Distance of outer fibre from neutral axis of curved beam given bending stress at fibre is the distance between the outermost fiber and the neutral axis of the curved beam and is represented as h_o = (σ_bo*A*e*R_o)/(M_b) or 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). Bending Stress at Outer Fibre is the amount of bending moment at the outer 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 Outer Fibre is the radius of the outer 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 outer fibre from neutral axis of curved beam given bending stress at fibre?

The Distance of outer fibre from neutral axis of curved beam given bending stress at fibre is the distance between the outermost fiber and the neutral axis of the curved beam is calculated using 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). To calculate Distance of outer fibre from neutral axis of curved beam given bending stress at fibre, you need Bending Stress at Outer Fibre (σ_bo), Cross Sectional Area of Curved Beam (A), Eccentricity Between Centroidal and Neutral Axis (e), Radius of Outer Fibre (R_o) & Bending Moment in Curved Beam (M_b). With our tool, you need to enter the respective value for 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 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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