Moment of Inertia of all Welds given 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%
✖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%

✖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 all Welds given Bending Moment [I]

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Moment of Inertia of all Welds given Bending Moment Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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 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.
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.

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)
Bending Stress in Welded Joint: 130 Newton per Square Millimeter --> 130000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = M_b*y/σ_b --> 985*0.2/130000000

Evaluating ... ...

I = 1.51538461538462E-06

STEP 3: Convert Result to Output's Unit

1.51538461538462E-06 Meter⁴ -->1515384.61538462 Millimeter⁴ (Check conversion here)

FINAL ANSWER

1515384.61538462 ≈ 1.5E+6 Millimeter⁴ <-- Moment of Inertia of Weld about Neutral Axis

(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

Moment of Inertia of all Welds given Bending Moment Formula

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
I = M_b*y/σ_b

Define Moment of Inertia?

Moment of inertia, in physics, quantitative measure of the rotational inertia of a body—i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of torque (turning force).

How to Calculate Moment of Inertia of all Welds given Bending Moment?

Moment of Inertia of all Welds given Bending Moment calculator uses 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 to calculate the Moment of Inertia of Weld about Neutral Axis, The Moment of Inertia of all Welds given Bending Moment formula is defined as a quantitative measure of the rotational inertia of a body. Moment of Inertia of Weld about Neutral Axis is denoted by I symbol.

How to calculate Moment of Inertia of all Welds given Bending Moment using this online calculator? To use this online calculator for Moment of Inertia of all Welds given Bending Moment, enter Bending Moment in Welded Joint (M_b), Distance of Point in Weld to Neutral Axis (y) & Bending Stress in Welded Joint (σ_b) and hit the calculate button. Here is how the Moment of Inertia of all Welds given Bending Moment calculation can be explained with given input values -> 1.5E+18 = 985*0.2/130000000.

FAQ

What is Moment of Inertia of all Welds given Bending Moment?

The Moment of Inertia of all Welds given Bending Moment formula is defined as a quantitative measure of the rotational inertia of a body and is represented as I = M_b*y/σ_b or 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 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 & 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.

How to calculate Moment of Inertia of all Welds given Bending Moment?

The Moment of Inertia of all Welds given Bending Moment formula is defined as a quantitative measure of the rotational inertia of a body is calculated using 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. To calculate Moment of Inertia of all Welds given Bending Moment, you need Bending Moment in Welded Joint (M_b), Distance of Point in Weld to Neutral Axis (y) & Bending Stress in Welded Joint (σ_b). With our tool, you need to enter the respective value for Bending Moment in Welded Joint, Distance of Point in Weld to Neutral Axis & Bending Stress in Welded Joint 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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