Bending stress in specimen due to bending moment Calculator

✖The Bending Moment 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 [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%
✖Area Moment of Inertia is a property of a two-dimensional plane shape that characterizes its deflection under loading.ⓘ Area Moment of Inertia [I]			+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 in specimen due to bending moment [σ_b]

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Formula

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Bending stress in specimen due to bending moment

Formula

`"σ"_{"b"} = ("M"_{"b"}*"y")/"I"`

Example

`"55.84091N/mm²"=("117000N*mm"*"21mm")/"44000mm⁴"`

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Bending stress in specimen due to bending moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Area Moment of Inertia
σ_b = (M_b*y)/I
This formula uses 4 Variables

Variables Used

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.
Bending Moment - (Measured in Newton Meter) - The Bending Moment 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.
Area Moment of Inertia - (Measured in Meter⁴) - Area Moment of Inertia is a property of a two-dimensional plane shape that characterizes its deflection under loading.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 117000 Newton Millimeter --> 117 Newton Meter (Check conversion here)
Distance from Neutral Axis of Curved Beam: 21 Millimeter --> 0.021 Meter (Check conversion here)
Area Moment of Inertia: 44000 Millimeter⁴ --> 4.4E-08 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = (M_b*y)/I --> (117*0.021)/4.4E-08

Evaluating ... ...

σ_b = 55840909.0909091

STEP 3: Convert Result to Output's Unit

55840909.0909091 Pascal -->55.8409090909091 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

55.8409090909091 ≈ 55.84091 Newton per Square Millimeter <-- Bending Stress

(Calculation completed in 00.004 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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Dayananda Sagar College of Engineering (DSCE), Bengaluru

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< 6 Stresses due to Bending Moment Calculators

Area Moment of Inertia of specimen given bending moment and bending stress

Go Area Moment of Inertia = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Bending Stress

Bending stress in specimen due to bending moment

Go Bending Stress = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Area Moment of Inertia

Bending moment in specimen given bending stress

Go Bending Moment = (Bending Stress*Area Moment of Inertia)/Distance from Neutral Axis of Curved Beam

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to breadth

Go Area Moment of Inertia = (Breadth of rectangular section*(Length of rectangular section^3))/12

Area Moment of inertia of rectangular cross-section along centroidal axis parallel to length

Go Area Moment of Inertia = ((Length of rectangular section^3)*Breadth of rectangular section)/12

Area Moment of Inertia of Circular Cross-Section about Diameter

Go Area Moment of Inertia = pi*(Diameter of circular section of shaft^4)/64

Bending stress in specimen due to bending moment Formula

Bending Stress = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Area Moment of Inertia
σ_b = (M_b*y)/I

What is bending stress?

The stress caused due to bending moment is called bending stress. One side of neutral axis experiences compression and another extension.

How to Calculate Bending stress in specimen due to bending moment?

Bending stress in specimen due to bending moment calculator uses Bending Stress = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Area Moment of Inertia to calculate the Bending Stress, Bending stress in specimen due to bending moment formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued. Bending Stress is denoted by σ_b symbol.

How to calculate Bending stress in specimen due to bending moment using this online calculator? To use this online calculator for Bending stress in specimen due to bending moment, enter Bending Moment (M_b), Distance from Neutral Axis of Curved Beam (y) & Area Moment of Inertia (I) and hit the calculate button. Here is how the Bending stress in specimen due to bending moment calculation can be explained with given input values -> 5.6E-5 = (117*0.021)/4.4E-08.

FAQ

What is Bending stress in specimen due to bending moment?

Bending stress in specimen due to bending moment formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued and is represented as σ_b = (M_b*y)/I or Bending Stress = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Area Moment of Inertia. The Bending Moment 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 & Area Moment of Inertia is a property of a two-dimensional plane shape that characterizes its deflection under loading.

How to calculate Bending stress in specimen due to bending moment?

Bending stress in specimen due to bending moment formula is defined as the normal stress that an object encounters when it is subjected to a large load at a particular point that causes the object to bend and become fatigued is calculated using Bending Stress = (Bending Moment*Distance from Neutral Axis of Curved Beam)/Area Moment of Inertia. To calculate Bending stress in specimen due to bending moment, you need Bending Moment (M_b), Distance from Neutral Axis of Curved Beam (y) & Area Moment of Inertia (I). With our tool, you need to enter the respective value for Bending Moment, Distance from Neutral Axis of Curved Beam & Area Moment of Inertia 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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