Bending Stress Caused Due to Bending Moment Calculator

✖Bending moment in welded joint 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 Welded Joint [M_b]			+10% -10%
✖Distance of Point in Weld to Neutral Axis is defined as the distance of any point in the Weld to the neutral axis.ⓘ Distance of Point in Weld to Neutral Axis [y]			+10% -10%
✖Moment of Inertia of Weld about Neutral Axis is defined as the quantitative measure of the rotational inertia of the body about the neutral axis.ⓘ Moment of Inertia of Weld about Neutral Axis [I]			+10% -10%

✖Bending stress in welded joint is the normal stress that is induced at a point in a welded joint subjected to loads that cause it to bend.ⓘ Bending Stress Caused Due to Bending Moment [σ_b]

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Bending Stress Caused Due to Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Stress in Welded Joint = Bending Moment in Welded Joint*Distance of Point in Weld to Neutral Axis/Moment of Inertia of Weld about Neutral Axis
σ_b = M_b*y/I
This formula uses 4 Variables

Variables Used

Bending Stress in Welded Joint - (Measured in Pascal) - Bending stress in welded joint is the normal stress that is induced at a point in a welded joint subjected to loads that cause it to bend.
Bending Moment in Welded Joint - (Measured in Newton Meter) - Bending moment in welded joint 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 Point in Weld to Neutral Axis - (Measured in Meter) - Distance of Point in Weld to Neutral Axis is defined as the distance of any point in the Weld to the neutral axis.
Moment of Inertia of Weld about Neutral Axis - (Measured in Meter⁴) - Moment of Inertia of Weld about Neutral Axis is defined as the quantitative measure of the rotational inertia of the body about the neutral axis.

STEP 1: Convert Input(s) to Base Unit

Bending Moment in Welded Joint: 985000 Newton Millimeter --> 985 Newton Meter (Check conversion here)
Distance of Point in Weld to Neutral Axis: 200 Millimeter --> 0.2 Meter (Check conversion here)
Moment of Inertia of Weld about Neutral Axis: 1500000 Millimeter⁴ --> 1.5E-06 Meter⁴ (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_b = M_b*y/I --> 985*0.2/1.5E-06

Evaluating ... ...

σ_b = 131333333.333333

STEP 3: Convert Result to Output's Unit

131333333.333333 Pascal -->131.333333333333 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

131.333333333333 ≈ 131.3333 Newton per Square Millimeter <-- Bending Stress in Welded Joint

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< Welded Joints Subjected to Bending Moment Calculators

Moment of Inertia of all Welds given Bending Moment

LaTeX Go Moment of Inertia of Weld about Neutral Axis = Bending Moment in Welded Joint*Distance of Point in Weld to Neutral Axis/Bending Stress in Welded Joint

Bending Stress Caused Due to Bending Moment

LaTeX Go Bending Stress in Welded Joint = Bending Moment in Welded Joint*Distance of Point in Weld to Neutral Axis/Moment of Inertia of Weld about Neutral Axis

Bending Moment given Bending Stress

LaTeX Go Bending Moment in Welded Joint = Moment of Inertia of Weld about Neutral Axis*Bending Stress in Welded Joint/Distance of Point in Weld to Neutral Axis

Primary Shear Stress-induced due to Eccentric Load

LaTeX Go Primary Shear Stress in Weld = Eccentric Load on Weld/Throat Area of Welds

Bending Stress Caused Due to Bending Moment Formula

LaTeX Go

Bending Stress in Welded Joint = Bending Moment in Welded Joint*Distance of Point in Weld to Neutral Axis/Moment of Inertia of Weld about Neutral Axis
σ_b = M_b*y/I

Define Bending Moment?

In solid mechanics, a 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 most common or simplest structural element subjected to bending moments is the beam.

How to Calculate Bending Stress Caused Due to Bending Moment?

Bending Stress Caused Due to Bending Moment calculator uses Bending Stress in Welded Joint = Bending Moment in Welded Joint*Distance of Point in Weld to Neutral Axis/Moment of Inertia of Weld about Neutral Axis to calculate the Bending Stress in Welded Joint, The Bending Stress Caused 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 in Welded Joint is denoted by σ_b symbol.

How to calculate Bending Stress Caused Due to Bending Moment using this online calculator? To use this online calculator for Bending Stress Caused Due to Bending Moment, enter Bending Moment in Welded Joint (M_b), Distance of Point in Weld to Neutral Axis (y) & Moment of Inertia of Weld about Neutral Axis (I) and hit the calculate button. Here is how the Bending Stress Caused Due to Bending Moment calculation can be explained with given input values -> 0.000131 = 985*0.2/1.5E-06.

FAQ

What is Bending Stress Caused Due to Bending Moment?

The Bending Stress Caused 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 in Welded Joint = Bending Moment in Welded Joint*Distance of Point in Weld to Neutral Axis/Moment of Inertia of Weld about Neutral Axis. Bending moment in welded joint 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 Point in Weld to Neutral Axis is defined as the distance of any point in the Weld to the neutral axis & Moment of Inertia of Weld about Neutral Axis is defined as the quantitative measure of the rotational inertia of the body about the neutral axis.

How to calculate Bending Stress Caused Due to Bending Moment?

The Bending Stress Caused 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 in Welded Joint = Bending Moment in Welded Joint*Distance of Point in Weld to Neutral Axis/Moment of Inertia of Weld about Neutral Axis. To calculate Bending Stress Caused Due to Bending Moment, you need Bending Moment in Welded Joint (M_b), Distance of Point in Weld to Neutral Axis (y) & Moment of Inertia of Weld about Neutral Axis (I). With our tool, you need to enter the respective value for Bending Moment in Welded Joint, Distance of Point in Weld to Neutral Axis & Moment of Inertia of Weld about Neutral Axis 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 Bending Stress in Welded Joint?

In this formula, Bending Stress in Welded Joint uses Bending Moment in Welded Joint, Distance of Point in Weld to Neutral Axis & Moment of Inertia of Weld about Neutral Axis. We can use 1 other way(s) to calculate the same, which is/are as follows -

Bending Stress in Welded Joint = sqrt(2*(Resultant Shear Stress in Weld^2)-(Primary Shear Stress in Weld^2))

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