Distance of Point in Weld from Neutral Axis given Bending Stress in Weld 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%
✖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 from Neutral Axis given Bending Stress in Weld [y]

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Formula

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Distance of Point in Weld from Neutral Axis given Bending Stress in Weld

Formula

`"y" = "I"*"σ"_{"b"}/"M"_{"b"}`

Example

`"197.9695mm"="1.5E6mm⁴"*"130N/mm²"/"985000N*mm"`

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Distance of Point in Weld from Neutral Axis given Bending Stress in Weld Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance of Point in Weld to Neutral Axis = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Bending moment in welded joint
y = I*σ_b/M_b
This formula uses 4 Variables

Variables Used

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.
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.

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)
Bending moment in welded joint: 985000 Newton Millimeter --> 985 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = I*σ_b/M_b --> 1.5E-06*130000000/985

Evaluating ... ...

y = 0.197969543147208

STEP 3: Convert Result to Output's Unit

0.197969543147208 Meter -->197.969543147208 Millimeter (Check conversion here)

FINAL ANSWER

197.969543147208 ≈ 197.9695 Millimeter <-- Distance of Point in Weld to Neutral Axis

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 8 Welded Joints Subjected to Bending Moment Calculators

Distance of Point in Weld from Neutral Axis given Bending Stress in Weld

Go Distance of Point in Weld to Neutral Axis = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Bending moment in welded joint

Moment of Inertia of all Welds given Bending Moment

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

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

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

Bending Stress given Resultant Shear Stress in Weld

Go Bending stress in welded joint = sqrt(2*(Resultant shear stress in weld^2)-(Primary shear stress in weld^2))

Primary Shear Stress given Resultant Shear Stress

Go Primary shear stress in weld = sqrt((Resultant shear stress in weld^2)-(Bending stress in welded joint^2)/4)

Resultant Shear Stress in Weld

Go Resultant shear stress in weld = sqrt((Bending stress in welded joint^2)/4+(Primary shear stress in weld^2))

Primary Shear Stress-induced due to Eccentric Load

Go Primary shear stress in weld = Eccentric load on weld/Throat Area of Welds

Distance of Point in Weld from Neutral Axis given Bending Stress in Weld Formula

Distance of Point in Weld to Neutral Axis = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Bending moment in welded joint
y = I*σ_b/M_b

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 Distance of Point in Weld from Neutral Axis given Bending Stress in Weld?

Distance of Point in Weld from Neutral Axis given Bending Stress in Weld calculator uses Distance of Point in Weld to Neutral Axis = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Bending moment in welded joint to calculate the Distance of Point in Weld to Neutral Axis, The Distance of Point in Weld from Neutral Axis given Bending Stress in Weld formula is defined as the vertical distance from the weld to the neutral axis. Distance of Point in Weld to Neutral Axis is denoted by y symbol.

How to calculate Distance of Point in Weld from Neutral Axis given Bending Stress in Weld using this online calculator? To use this online calculator for Distance of Point in Weld from Neutral Axis given Bending Stress in Weld, enter Moment of Inertia of Weld about Neutral Axis (I), Bending stress in welded joint (σ_b) & Bending moment in welded joint (M_b) and hit the calculate button. Here is how the Distance of Point in Weld from Neutral Axis given Bending Stress in Weld calculation can be explained with given input values -> 197969.5 = 1.5E-06*130000000/985.

FAQ

What is Distance of Point in Weld from Neutral Axis given Bending Stress in Weld?

The Distance of Point in Weld from Neutral Axis given Bending Stress in Weld formula is defined as the vertical distance from the weld to the neutral axis and is represented as y = I*σ_b/M_b or Distance of Point in Weld to Neutral Axis = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Bending moment in welded joint. 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 & 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.

How to calculate Distance of Point in Weld from Neutral Axis given Bending Stress in Weld?

The Distance of Point in Weld from Neutral Axis given Bending Stress in Weld formula is defined as the vertical distance from the weld to the neutral axis is calculated using Distance of Point in Weld to Neutral Axis = Moment of Inertia of Weld about Neutral Axis*Bending stress in welded joint/Bending moment in welded joint. To calculate Distance of Point in Weld from Neutral Axis given Bending Stress in Weld, you need Moment of Inertia of Weld about Neutral Axis (I), Bending stress in welded joint (σ_b) & Bending moment in welded joint (M_b). With our tool, you need to enter the respective value for Moment of Inertia of Weld about Neutral Axis, Bending stress in welded joint & Bending moment 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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