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

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Distance of Point in Weld to Neutral Axis is defined as the distance of any point in the Weld to the neutral axis. Check FAQs

y = I \cdot \frac{σ b}{M b}

y - Distance of Point in Weld to Neutral Axis?I - Moment of Inertia of Weld about Neutral Axis?σ_b - Bending Stress in Welded Joint?M_b - Bending Moment in Welded Joint?

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

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Here is how the Distance of Point in Weld from Neutral Axis given Bending Stress in Weld equation looks like with Values.

Here is how the Distance of Point in Weld from Neutral Axis given Bending Stress in Weld equation looks like with Units.

Here is how the Distance of Point in Weld from Neutral Axis given Bending Stress in Weld equation looks like.

197.9695 = 1.5E+6 \cdot \frac{130}{985000}

197.9695mm = 1.5E+6mm⁴ \cdot \frac{130N/mm²}{985000N*mm}

197.9695 = 1.5E+6 \cdot \frac{130}{985000}

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

Follow our step by step solution on how to calculate Distance of Point in Weld from Neutral Axis given Bending Stress in Weld?

FIRST Step Consider the formula

y = I \cdot \frac{σ b}{M b}

Next Step Substitute values of Variables

∴

y = 1.5E+6mm⁴ \cdot \frac{130N/mm²}{985000N*mm}

Next Step Convert Units

∴

y = 1.5E-6m⁴ \cdot \frac{1.3E+8Pa}{985N*m}

Next Step Prepare to Evaluate

∴

y = 1.5E-6 \cdot \frac{1.3E+8}{985}

Next Step Evaluate

∴

y = 0.197969543147208m

Next Step Convert to Output's Unit

∴

y = 197.969543147208mm

LAST Step Rounding Answer

∴

y = 197.9695mm

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

Variables

Distance of Point in Weld to Neutral Axis

Distance of Point in Weld to Neutral Axis is defined as the distance of any point in the Weld to the neutral axis.

Symbol: y

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Distance of Point in Weld to Neutral Axis

Moment of Inertia of Weld about 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.

Symbol: I

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Weld about Neutral Axis

Bending Stress in Welded Joint

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.

Symbol: σ_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Bending Stress in Welded Joint

Bending Moment 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.

Symbol: M_b

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Bending Moment in Welded Joint

Other formulas in Welded Joints Subjected to Bending Moment category

Go Primary Shear Stress-induced due to Eccentric Load

τ 1 = \frac{W}{A}

Go Bending Stress Caused Due to Bending Moment

σ b = M b \cdot \frac{y}{I}

Go Bending Moment given Bending Stress

M b = I \cdot \frac{σ b}{y}

Go Moment of Inertia of all Welds given Bending Moment

I = M b \cdot \frac{y}{σ b}

How to Evaluate 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 evaluator 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 evaluate 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 evaluate Distance of Point in Weld from Neutral Axis given Bending Stress in Weld using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Distance of Point in Weld from Neutral Axis given Bending Stress in Weld?

The formula of Distance of Point in Weld from Neutral Axis given Bending Stress in Weld is expressed as 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. Here is an example- 197969.5 = 1.5E-06*130000000/985.

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

With Moment of Inertia of Weld about Neutral Axis (I), Bending Stress in Welded Joint (σ_b) & Bending Moment in Welded Joint (M_b) we can find Distance of Point in Weld from Neutral Axis given Bending Stress in Weld using the 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.

Can the Distance of Point in Weld from Neutral Axis given Bending Stress in Weld be negative?

No, the Distance of Point in Weld from Neutral Axis given Bending Stress in Weld, measured in Length cannot be negative.

Which unit is used to measure 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 is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Distance of Point in Weld from Neutral Axis given Bending Stress in Weld can be measured.

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

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

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

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

Other formulas in Welded Joints Subjected to Bending Moment category

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

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

Variable Name