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Rigidity of Fillet Welds Formula

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Rigidity of Fillet Weld is the resistance offered by a given fillet weld to any angular distortion. Check FAQs

R = \frac{E \cdot {p tb}^{3}}{12 + (1 - 𝛎^{2})}

R - Rigidity of Fillet Weld?E - Young's Modulus?p_tb - Plate Thickness in Butt Joint?𝛎 - Poisson's Ratio?

Rigidity of Fillet Welds Example

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Here is how the Rigidity of Fillet Welds equation looks like with Values.

Here is how the Rigidity of Fillet Welds equation looks like with Units.

Here is how the Rigidity of Fillet Welds equation looks like.

0.6013 = \frac{15 \cdot {802.87}^{3}}{12 + (1 - {0.3}^{2})}

0.6013Nm/rad = \frac{15N/m \cdot {802.87mm}^{3}}{12 + (1 - {0.3}^{2})}

0.6013 = \frac{15 \cdot {802.87}^{3}}{12 + (1 - {0.3}^{2})}

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Rigidity of Fillet Welds Solution

Follow our step by step solution on how to calculate Rigidity of Fillet Welds?

FIRST Step Consider the formula

R = \frac{E \cdot {p tb}^{3}}{12 + (1 - 𝛎^{2})}

Next Step Substitute values of Variables

∴

R = \frac{15N/m \cdot {802.87mm}^{3}}{12 + (1 - {0.3}^{2})}

Next Step Convert Units

∴

R = \frac{15N/m \cdot {0.8029m}^{3}}{12 + (1 - {0.3}^{2})}

Next Step Prepare to Evaluate

∴

R = \frac{15 \cdot {0.8029}^{3}}{12 + (1 - {0.3}^{2})}

Next Step Evaluate

∴

R = 0.6013131590239Nm/rad

LAST Step Rounding Answer

∴

R = 0.6013Nm/rad

Rigidity of Fillet Welds Formula Elements

Variables

Rigidity of Fillet Weld

Rigidity of Fillet Weld is the resistance offered by a given fillet weld to any angular distortion.

Symbol: R

Measurement: Torsion ConstantUnit: Nm/rad

Note: Value should be greater than 0.

Formulas to find Rigidity of Fillet Weld

Young's Modulus

Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.

Symbol: E

Measurement: Stiffness ConstantUnit: N/m

Note: Value should be greater than 0.

Formulas to find Young's Modulus

Plate Thickness in Butt Joint

Plate Thickness in Butt Joint is the distance through the bearing plate that are welded face to face at the thinner end.

Symbol: p_tb

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Plate Thickness in Butt Joint

Poisson's Ratio

Poisson's Ratio is defined as the ratio of the lateral to axial strain. For many metals and alloys, values of Poisson’s ratio range between 0.1 and 0.5.

Symbol: 𝛎

Measurement: NAUnit: Unitless

Note: Value should be between -1 to 0.5.

Formulas to find Poisson's Ratio

Other formulas in Angular Distortion category

Go Angular Distortion at x of Fillet Welds

δ = L \cdot (0.25 \cdot φ - φ \cdot {(\frac{x}{L} - 0.5)}^{2})

Go Maximum Angular Distortion of Fillet Welds

δ max = 0.25 \cdot φ \cdot L

Go Length of Span for Maximum Angular Distortion of Fillet Welds

L = \frac{δ max}{0.25 \cdot φ}

Go Angular Change when there is Maximum Distortion of Fillet Welds

φ = \frac{δ max}{0.25 \cdot L}

How to Evaluate Rigidity of Fillet Welds?

Rigidity of Fillet Welds evaluator uses Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness in Butt Joint^3)/(12+(1-Poisson's Ratio^2)) to evaluate the Rigidity of Fillet Weld, Rigidity of Fillet Welds is the resistance offered by a given fillet weld to any angular distortion. Rigidity of Fillet Weld is denoted by R symbol.

How to evaluate Rigidity of Fillet Welds using this online evaluator? To use this online evaluator for Rigidity of Fillet Welds, enter Young's Modulus (E), Plate Thickness in Butt Joint (p_tb) & Poisson's Ratio (𝛎) and hit the calculate button.

FAQs on Rigidity of Fillet Welds

What is the formula to find Rigidity of Fillet Welds?

The formula of Rigidity of Fillet Welds is expressed as Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness in Butt Joint^3)/(12+(1-Poisson's Ratio^2)). Here is an example- 0.601313 = (15*0.80287^3)/(12+(1-0.3^2)).

How to calculate Rigidity of Fillet Welds?

With Young's Modulus (E), Plate Thickness in Butt Joint (p_tb) & Poisson's Ratio (𝛎) we can find Rigidity of Fillet Welds using the formula - Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness in Butt Joint^3)/(12+(1-Poisson's Ratio^2)).

Can the Rigidity of Fillet Welds be negative?

No, the Rigidity of Fillet Welds, measured in Torsion Constant cannot be negative.

Which unit is used to measure Rigidity of Fillet Welds?

Rigidity of Fillet Welds is usually measured using the Newton Meter per Radian[Nm/rad] for Torsion Constant. Newton Centimeter per Radian[Nm/rad] are the few other units in which Rigidity of Fillet Welds can be measured.

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Rigidity of Fillet Welds Formula

Rigidity of Fillet Welds Example

Rigidity of Fillet Welds Solution

Rigidity of Fillet Welds Formula Elements

Other formulas in Angular Distortion category

How to Evaluate Rigidity of Fillet Welds?

FAQs on Rigidity of Fillet Welds

Variable Name