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Bending Stress Calculator

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Stress Strain Stress and Strain

✖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 is defined as the distance from an axis in the cross section of a beam or shaft along which there are no longitudinal stresses or strains.ⓘ Distance from Neutral Axis [y]			+10% -10%
✖Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.ⓘ Moment of Inertia [I]			+10% -10%

✖The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.ⓘ Bending Stress [σ_b]

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Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Bending Stress - (Measured in Pascal) - The Bending Stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend.
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 - (Measured in Meter) - Distance from Neutral Axis is defined as the distance from an axis in the cross section of a beam or shaft along which there are no longitudinal stresses or strains.
Moment of Inertia - (Measured in Kilogram Square Meter) - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 450 Newton Meter --> 450 Newton Meter No Conversion Required
Distance from Neutral Axis: 503 Millimeter --> 0.503 Meter (Check conversion here)
Moment of Inertia: 3.5 Kilogram Square Meter --> 3.5 Kilogram Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = M_b*y/I --> 450*0.503/3.5

Evaluating ... ...

σ_b = 64.6714285714286

STEP 3: Convert Result to Output's Unit

64.6714285714286 Pascal -->6.46714285714286E-05 Megapascal (Check conversion here)

FINAL ANSWER

6.46714285714286E-05 ≈ 6.5E-5 Megapascal <-- Bending Stress

(Calculation completed in 00.020 seconds)

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Created by Pragati Jaju

College Of Engineering (COEP), Pune

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Osmania University (OU), Hyderabad

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< Stress Calculators

Beam Shear Stress

Go Beam Shear Stress = (Total Shear Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)

Bending Stress

Go Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia

Bulk Stress

Go Bulk Stress = Normal Inward Force/Cross Sectional Area

Direct Stress

Go Direct Stress = Axial Thrust/Cross Sectional Area

Bending Stress Formula

Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia
σ_b = M_b*y/I

What is Bending Stress?

Bending stress is the normal stress that is induced at a point in a body subjected to loads that cause it to bend. When a load is applied perpendicular to the length of a beam (with two supports on each end), bending moments are induced in the beam.

How to Calculate Bending Stress?

Bending Stress calculator uses Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia to calculate the Bending Stress, The Bending Stress Formula is defined as the normal stress that is induced at a point in a body subjected to loads that cause it to bend. Bending Stress is denoted by σ_b symbol.

How to calculate Bending Stress using this online calculator? To use this online calculator for Bending Stress, enter Bending Moment (M_b), Distance from Neutral Axis (y) & Moment of Inertia (I) and hit the calculate button. Here is how the Bending Stress calculation can be explained with given input values -> 64.67143 = 450*0.503/3.5.

FAQ

What is Bending Stress?

The Bending Stress Formula is defined as the normal stress that is induced at a point in a body subjected to loads that cause it to bend and is represented as σ_b = M_b*y/I or Bending Stress = Bending Moment*Distance from Neutral Axis/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 is defined as the distance from an axis in the cross section of a beam or shaft along which there are no longitudinal stresses or strains & Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.

How to calculate Bending Stress?

The Bending Stress Formula is defined as the normal stress that is induced at a point in a body subjected to loads that cause it to bend is calculated using Bending Stress = Bending Moment*Distance from Neutral Axis/Moment of Inertia. To calculate Bending Stress, you need Bending Moment (M_b), Distance from Neutral Axis (y) & Moment of Inertia (I). With our tool, you need to enter the respective value for Bending Moment, Distance from Neutral Axis & 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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