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Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity Formula

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The Length of Weld is the linear distance of the welding segment joined by the welded joint. Check FAQs

L = \sqrt{12 \cdot \frac{J}{A}}

L - Length of Weld?J - Polar Moment of Inertia of Welds?A - Throat Area of Welds?

Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity Example

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Here is how the Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity equation looks like with Values.

Here is how the Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity equation looks like with Units.

Here is how the Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity equation looks like.

195.0081 = \sqrt{12 \cdot \frac{450000}{142}}

195.0081mm = \sqrt{12 \cdot \frac{450000mm⁴}{142mm²}}

195.0081 = \sqrt{12 \cdot \frac{450000}{142}}

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Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity Solution

Follow our step by step solution on how to calculate Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity?

FIRST Step Consider the formula

L = \sqrt{12 \cdot \frac{J}{A}}

Next Step Substitute values of Variables

∴

L = \sqrt{12 \cdot \frac{450000mm⁴}{142mm²}}

Next Step Convert Units

∴

L = \sqrt{12 \cdot \frac{4.5E-7m⁴}{0.0001m²}}

Next Step Prepare to Evaluate

∴

L = \sqrt{12 \cdot \frac{4.5E-7}{0.0001}}

Next Step Evaluate

∴

L = 0.195008125507848m

Next Step Convert to Output's Unit

∴

L = 195.008125507848mm

LAST Step Rounding Answer

∴

L = 195.0081mm

Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity Formula Elements

Variables

Functions

Length of Weld

The Length of Weld is the linear distance of the welding segment joined by the welded joint.

Symbol: L

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of Weld

Polar Moment of Inertia of Welds

Polar Moment of Inertia of Welds is defined as the Polar moment of inertia of all the Welds bout its Center of Gravity.

Symbol: J

Measurement: Second Moment of AreaUnit: mm⁴

Note: Value can be positive or negative.

Formulas to find Polar Moment of Inertia of Welds

Throat Area of Welds

The Throat Area of Welds is the area of the throat of a weld (the shortest distance from the root to the face of the weld).

Symbol: A

Measurement: AreaUnit: mm²

Note: Value should be greater than 0.

Formulas to find Throat Area of Welds

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Eccentric Load in Plane of Welds category

Go Primary Shear Stress in Weld

τ 1 = \frac{P}{A}

Go Throat Area of Weld given Primary Shear Stress

A = \frac{P}{τ 1}

Go Load acting on Weld given Primary Stress

P = τ 1 \cdot A

Go Torsional Shear Stress in Throat Area of Weld

σ s = M \cdot \frac{r}{J}

How to Evaluate Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity?

Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity evaluator uses Length of Weld = sqrt(12*Polar Moment of Inertia of Welds/Throat Area of Welds) to evaluate the Length of Weld, Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity is defined as the linear distance of each weld segment. Length of Weld is denoted by L symbol.

How to evaluate Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity using this online evaluator? To use this online evaluator for Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity, enter Polar Moment of Inertia of Welds (J) & Throat Area of Welds (A) and hit the calculate button.

FAQs on Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity

What is the formula to find Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity?

The formula of Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity is expressed as Length of Weld = sqrt(12*Polar Moment of Inertia of Welds/Throat Area of Welds). Here is an example- 195008.1 = sqrt(12*4.5E-07/0.000142).

How to calculate Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity?

With Polar Moment of Inertia of Welds (J) & Throat Area of Welds (A) we can find Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity using the formula - Length of Weld = sqrt(12*Polar Moment of Inertia of Welds/Throat Area of Welds). This formula also uses Square Root (sqrt) function(s).

Can the Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity be negative?

No, the Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity, measured in Length cannot be negative.

Which unit is used to measure Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity?

Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Length of Weld given Polar Moment of Inertia of Weld about its Center of Gravity can be measured.

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