Area of cross section of curved beam given bending stress at inner fiber 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 of Inner Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum.ⓘ Distance of Inner Fibre from Neutral Axis [h_i]			+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%
✖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%
✖Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.ⓘ Radius of Inner Fibre [R_i]			+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.ⓘ Area of cross section of curved beam given bending stress at inner fiber [A]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 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 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.
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.
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.
Radius of Inner Fibre - (Measured in Meter) - Radius of Inner Fibre is the radius of the inner fiber 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 of Inner Fibre from Neutral Axis: 10 Millimeter --> 0.01 Meter (Check conversion here)
Eccentricity Between Centroidal and Neutral Axis: 2 Millimeter --> 0.002 Meter (Check conversion here)
Bending Stress at Inner Fibre: 78.5 Newton per Square Millimeter --> 78500000 Pascal (Check conversion here)
Radius of Inner Fibre: 70 Millimeter --> 0.07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (M_b*h_i)/(e*σ_bi*R_i) --> (985*0.01)/(0.002*78500000*0.07)

Evaluating ... ...

A = 0.000896269335759781

STEP 3: Convert Result to Output's Unit

0.000896269335759781 Square Meter -->896.269335759781 Square Millimeter (Check conversion here)

FINAL ANSWER

896.269335759781 ≈ 896.2693 Square Millimeter <-- Cross Sectional Area of Curved Beam

(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

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

Area of cross section of curved beam given bending stress at inner fiber calculator uses 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) to calculate the Cross Sectional Area of Curved Beam, Area of cross section of curved beam given bending stress at inner fiber is the cross-sectional area of the transverse section of a curved beam. Cross Sectional Area of Curved Beam is denoted by A symbol.

How to calculate Area of cross section of curved beam given bending stress at inner fiber using this online calculator? To use this online calculator for Area of cross section of curved beam given bending stress at inner fiber, enter Bending Moment in Curved Beam (M_b), Distance of Inner Fibre from Neutral Axis (h_i), Eccentricity Between Centroidal and Neutral Axis (e), Bending Stress at Inner Fibre (σ_bi) & Radius of Inner Fibre (R_i) and hit the calculate button. Here is how the Area of cross section of curved beam given bending stress at inner fiber calculation can be explained with given input values -> 2.8E+8 = (985*0.01)/(0.002*78500000*0.07).

FAQ

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

Area of cross section of curved beam given bending stress at inner fiber is the cross-sectional area of the transverse section of a curved beam and is represented as A = (M_b*h_i)/(e*σ_bi*R_i) or 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). 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 of Inner Fibre from Neutral Axis is the point where the fibers of a material undergoing bending are stretched maximum, Eccentricity Between Centroidal and Neutral Axis is the distance between the centroidal and the neutral axis of a curved structural element, Bending Stress at Inner Fibre is the amount of bending moment at the inner fiber of a curved structural element & Radius of Inner Fibre is the radius of the inner fiber of a curved structural element.

How to calculate Area of cross section of curved beam given bending stress at inner fiber?

Area of cross section of curved beam given bending stress at inner fiber is the cross-sectional area of the transverse section of a curved beam is calculated using 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). To calculate Area of cross section of curved beam given bending stress at inner fiber, you need Bending Moment in Curved Beam (M_b), Distance of Inner Fibre from Neutral Axis (h_i), Eccentricity Between Centroidal and Neutral Axis (e), Bending Stress at Inner Fibre (σ_bi) & Radius of Inner Fibre (R_i). With our tool, you need to enter the respective value for 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 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 Cross Sectional Area of Curved Beam?

In this formula, Cross Sectional Area of Curved Beam uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)

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