Rigidity of Fillet Welds Calculator

✖Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.ⓘ Young's Modulus [E]			+10% -10%
✖Plate Thickness in Butt Joint is the distance through the bearing plate that are welded face to face at the thinner end.ⓘ Plate Thickness in Butt Joint [p_tb]			+10% -10%
✖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.ⓘ Poisson's Ratio [𝛎]			+10% -10%

✖Rigidity of Fillet Weld is the resistance offered by a given fillet weld to any angular distortion.ⓘ Rigidity of Fillet Welds [R]

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Rigidity of Fillet Welds Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness in Butt Joint^3)/(12+(1-Poisson's Ratio^2))
R = (E*p_tb^3)/(12+(1-𝛎^2))
This formula uses 4 Variables

Variables Used

Rigidity of Fillet Weld - (Measured in Newton Meter per Radian) - Rigidity of Fillet Weld is the resistance offered by a given fillet weld to any angular distortion.
Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain.
Plate Thickness in Butt Joint - (Measured in Meter) - Plate Thickness in Butt Joint is the distance through the bearing plate that are welded face to face at the thinner end.
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.

STEP 1: Convert Input(s) to Base Unit

Young's Modulus: 15 Newton per Meter --> 15 Newton per Meter No Conversion Required
Plate Thickness in Butt Joint: 802.87 Millimeter --> 0.80287 Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = (E*p_tb^3)/(12+(1-𝛎^2)) --> (15*0.80287^3)/(12+(1-0.3^2))

Evaluating ... ...

R = 0.6013131590239

STEP 3: Convert Result to Output's Unit

0.6013131590239 Newton Meter per Radian --> No Conversion Required

FINAL ANSWER

0.6013131590239 ≈ 0.601313 Newton Meter per Radian <-- Rigidity of Fillet Weld

(Calculation completed in 00.020 seconds)

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Created by Rajat Vishwakarma

University Institute of Technology RGPV (UIT - RGPV), Bhopal

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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< Angular Distortion Calculators

Angular Distortion at x of Fillet Welds

LaTeX Go Distortion at Some Distance = Length of Span of The Fillet Welds*(0.25*Angular Change in Restrained Joints-Angular Change in Restrained Joints*(Distance from the Center Line of the Frame/Length of Span of The Fillet Welds-0.5)^2)

Angular Change when there is Maximum Distortion of Fillet Welds

LaTeX Go Angular Change in Restrained Joints = Maximum Distortion/(0.25*Length of Span of The Fillet Welds)

Length of Span for Maximum Angular Distortion of Fillet Welds

LaTeX Go Length of Span of The Fillet Welds = Maximum Distortion/(0.25*Angular Change in Restrained Joints)

Maximum Angular Distortion of Fillet Welds

LaTeX Go Maximum Distortion = 0.25*Angular Change in Restrained Joints*Length of Span of The Fillet Welds

Rigidity of Fillet Welds Formula

LaTeX Go

Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness in Butt Joint^3)/(12+(1-Poisson's Ratio^2))
R = (E*p_tb^3)/(12+(1-𝛎^2))

What is called Distortion in welding terms ?

One of the major problems found with weldments is the distortion. Distortion is caused mainly because of the shrinkage that take place in weldments. The shrinkage taking place in a weldment depends upon the geometry and type of the weld. There are three types of distortions possible in weldments.
(a) Transverse shrinkage occurring perpendicular to the weld line.
(b) Longitudinal shrinkage occurring parallel to the weld line, which is very small of the order of about 0.1% of the weld length and hence can be neglected.
(c) Angular change as a rotation about the weld line.

How to Calculate Rigidity of Fillet Welds?

Rigidity of Fillet Welds calculator uses Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness in Butt Joint^3)/(12+(1-Poisson's Ratio^2)) to calculate 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 calculate Rigidity of Fillet Welds using this online calculator? To use this online calculator 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. Here is how the Rigidity of Fillet Welds calculation can be explained with given input values -> 0.601313 = (15*0.80287^3)/(12+(1-0.3^2)).

FAQ

What is Rigidity of Fillet Welds?

Rigidity of Fillet Welds is the resistance offered by a given fillet weld to any angular distortion and is represented as R = (E*p_tb^3)/(12+(1-𝛎^2)) or Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness in Butt Joint^3)/(12+(1-Poisson's Ratio^2)). Young's Modulus is a mechanical property of linear elastic solid substances. It describes the relationship between longitudinal stress and longitudinal strain, Plate Thickness in Butt Joint is the distance through the bearing plate that are welded face to face at the thinner end & 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.

How to calculate Rigidity of Fillet Welds?

Rigidity of Fillet Welds is the resistance offered by a given fillet weld to any angular distortion is calculated using Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness in Butt Joint^3)/(12+(1-Poisson's Ratio^2)). To calculate Rigidity of Fillet Welds, you need Young's Modulus (E), Plate Thickness in Butt Joint (p_tb) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Young's Modulus, Plate Thickness in Butt Joint & Poisson's Ratio 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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