Area of cross section of curved beam given bending stress at outer 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 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 [h_o]			+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 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%
✖Radius of Outer Fibre is the radius of the outer fiber of a curved structural element.ⓘ Radius of Outer Fibre [R_o]			+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 outer fiber [A]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
A = (M_b*h_o)/(e*σ_bo*R_o)
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 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.
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 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.
Radius of Outer Fibre - (Measured in Meter) - Radius of Outer Fibre is the radius of the outer 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 Outer Fibre from Neutral Axis: 12 Millimeter --> 0.012 Meter (Check conversion here)
Eccentricity Between Centroidal and Neutral Axis: 2 Millimeter --> 0.002 Meter (Check conversion here)
Bending Stress at Outer Fibre: 85 Newton per Square Millimeter --> 85000000 Pascal (Check conversion here)
Radius of Outer Fibre: 90 Millimeter --> 0.09 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (M_b*h_o)/(e*σ_bo*R_o) --> (985*0.012)/(0.002*85000000*0.09)

Evaluating ... ...

A = 0.000772549019607843

STEP 3: Convert Result to Output's Unit

0.000772549019607843 Square Meter -->772.549019607843 Square Millimeter (Check conversion here)

FINAL ANSWER

772.549019607843 ≈ 772.549 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 outer fiber Formula

Transgranular and Intergtanular fracture

Brittle fractures display either transgranular or intergranular fractures. This depends upon whether the grain boundaries are stronger or weaker than the grains:
Transgranular fracture - The fracture travels through the grain of the material. Cracks choose the path of least resistance.
Intergranular fracture - The crack travels along the grain boundaries, and not through the actual grains. This usually occurs when the phase in the grain boundary is weak and brittle.

How to Calculate Area of cross section of curved beam given bending stress at outer fiber?

Area of cross section of curved beam given bending stress at outer fiber calculator uses 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) to calculate the Cross Sectional Area of Curved Beam, The Area of cross section of curved beam given bending stress at outer 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 outer fiber using this online calculator? To use this online calculator for Area of cross section of curved beam given bending stress at outer fiber, enter Bending Moment in Curved Beam (M_b), Distance of Outer Fibre from Neutral Axis (h_o), Eccentricity Between Centroidal and Neutral Axis (e), Bending Stress at Outer Fibre (σ_bo) & Radius of Outer Fibre (R_o) and hit the calculate button. Here is how the Area of cross section of curved beam given bending stress at outer fiber calculation can be explained with given input values -> 7.7E+8 = (985*0.012)/(0.002*85000000*0.09).

FAQ

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

The Area of cross section of curved beam given bending stress at outer fiber is the cross-sectional area of the transverse section of a curved beam and is represented as A = (M_b*h_o)/(e*σ_bo*R_o) or 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 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 Outer 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 Outer Fibre is the amount of bending moment at the outer fiber of a curved structural element & Radius of Outer Fibre is the radius of the outer fiber of a curved structural element.

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

The Area of cross section of curved beam given bending stress at outer 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 Outer Fibre from Neutral Axis)/(Eccentricity Between Centroidal and Neutral Axis*Bending Stress at Outer Fibre*Radius of Outer Fibre). To calculate Area of cross section of curved beam given bending stress at outer fiber, you need Bending Moment in Curved Beam (M_b), Distance of Outer Fibre from Neutral Axis (h_o), Eccentricity Between Centroidal and Neutral Axis (e), Bending Stress at Outer Fibre (σ_bo) & Radius of Outer Fibre (R_o). With our tool, you need to enter the respective value for 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 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 Outer Fibre from Neutral Axis, Eccentricity Between Centroidal and Neutral Axis, Bending Stress at Outer Fibre & Radius of Outer 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 Inner Fibre from Neutral Axis)/(Eccentricity Between Centroidal and Neutral Axis*Bending Stress at Inner Fibre*Radius of Inner Fibre)

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