Bending Moment given Bending Stress Calculator

✖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 in Welded Joint [σ_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%

✖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 given Bending Stress [M_b]

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Bending Moment given Bending Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
M_b = I*σ_b/y
This formula uses 4 Variables

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia of Weld about Neutral Axis: 1500000 Millimeter⁴ --> 1.5E-06 Meter⁴ (Check conversion here)
Bending Stress in Welded Joint: 130 Newton per Square Millimeter --> 130000000 Pascal (Check conversion here)
Distance of Point in Weld to Neutral Axis: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_b = I*σ_b/y --> 1.5E-06*130000000/0.2

Evaluating ... ...

M_b = 975

STEP 3: Convert Result to Output's Unit

975 Newton Meter -->975000 Newton Millimeter (Check conversion here)

FINAL ANSWER

975000 Newton Millimeter <-- Bending Moment in Welded Joint

(Calculation completed in 00.020 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 Moment given Bending Stress Formula

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
M_b = I*σ_b/y

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 Moment given Bending Stress?

Bending Moment given Bending Stress calculator uses 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 to calculate the Bending Moment in Welded Joint, The Bending Moment given Bending Stress formula is defined as 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 is denoted by M_b symbol.

How to calculate Bending Moment given Bending Stress using this online calculator? To use this online calculator for Bending Moment given Bending Stress, enter Moment of Inertia of Weld about Neutral Axis (I), Bending Stress in Welded Joint (σ_b) & Distance of Point in Weld to Neutral Axis (y) and hit the calculate button. Here is how the Bending Moment given Bending Stress calculation can be explained with given input values -> 9.8E+8 = 1.5E-06*130000000/0.2.

FAQ

What is Bending Moment given Bending Stress?

The Bending Moment given Bending Stress formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as M_b = I*σ_b/y or 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. 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, 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 & Distance of Point in Weld to Neutral Axis is defined as the distance of any point in the Weld to the neutral axis.

How to calculate Bending Moment given Bending Stress?

The Bending Moment given Bending Stress formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using 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. To calculate Bending Moment given Bending Stress, you need Moment of Inertia of Weld about Neutral Axis (I), Bending Stress in Welded Joint (σ_b) & Distance of Point in Weld to Neutral Axis (y). With our tool, you need to enter the respective value for Moment of Inertia of Weld about Neutral Axis, Bending Stress in Welded Joint & Distance of Point in Weld to Neutral Axis 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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