Bending Stress 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%
✖The 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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Formula

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Bending Stress

Formula

`"σ"_{"b"} = "M"_{"b"}*"y"/"I"`

Example

`"64.67143Pa"="450N*m"*"503mm"/"3.5kg·m²"`

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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) - The 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 --> No Conversion Required

FINAL ANSWER

64.6714285714286 ≈ 64.67143 Pascal <-- 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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Verified by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 16 Stress Calculators

Stress due to Impact Loading

Go Stress due to Loading = Load*(1+sqrt(1+(2*Cross sectional area*Bending Stress*Height at which load falls)/(Load*Length of Weld)))/Cross sectional area

Brinell Hardness Number

Go Brinell Hardness Number = Load/((0.5*pi*Diameter of Ball Indentor)*(Diameter of Ball Indentor-(Diameter of Ball Indentor^2-Diameter of Indentation^2)^0.5))

Thermal Stress in Tapered Bar

Go Thermal Stress = (4*Load*Length of Weld)/(pi*Diameter of Bigger End*Diameter of Smaller End*Bending Stress)

Beam Shear Stress

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

Shearing Stress

Go Shearing Stress = (Shearing Force*First Moment of Area)/(Moment of Inertia*Thickness of Material)

Shear Stress in Double Parallel Fillet Weld

Go Shearing Stress = Load on Double Parallel Fillet Weld/(0.707*Length of Weld*Leg of Weld)

Thermal Stress

Go Thermal Stress = Coefficient of Thermal Expansion*Bending Stress*Change in Temperature

Bending Stress

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

Torsional Shear Stress

Go Shearing Stress = (Torque*Radius of Shaft)/Polar Moment of Inertia

Shear Stress of Circular Beam

Go Stress on Body = (4*Shearing Force)/(3*Cross sectional area)

Stress due to Gradual Loading

Go Stress due to Gradual Loading = Force/Cross sectional area

Maximum Shearing Stress

Go Stress on Body = (1.5*Shearing Force)/Cross sectional area

Shear Stress

Go Shearing Stress = Tangential Force/Cross sectional area

Bulk Stress

Go Bulk Stress = Normal Inward Force/Cross sectional area

Direct Stress

Go Direct Stress = Axial Thrust/Cross sectional area

Stress due to Sudden Loading

Go Stress on Body = 2*Force/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 -> 36.216 = 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, The 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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