Rigidity of fillet welds Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness^3)/(12+(1-Poisson's Ratio^2))
R = (E*pt^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 welds 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 - (Measured in Meter) - Plate Thickness is the distance through the bearing plate.
Poisson's Ratio - Poisson's Ratio is defined as the ratio of the lateral and 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: 802 Millimeter --> 0.802 Meter (Check conversion here)
Poisson's Ratio: 0.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
R = (E*pt^3)/(12+(1-𝛎^2)) --> (15*0.802^3)/(12+(1-0.3^2))
Evaluating ... ...
R = 0.599360505034857
STEP 3: Convert Result to Output's Unit
0.599360505034857 Newton Meter per Radian --> No Conversion Required
FINAL ANSWER
0.599360505034857 0.599361 Newton Meter per Radian <-- Rigidity of Fillet Weld
(Calculation completed in 00.004 seconds)

Credits

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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5 Angular Distortion Calculators

Angular Distortion at x of Fillet Welds
Go Distortion at x 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)
Rigidity of fillet welds
Go Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness^3)/(12+(1-Poisson's Ratio^2))
Angular change when there is maximum distortion of fillet welds
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
Go Length of Span of the Fillet Welds = Maximum Distortion/(0.25*Angular Change in Restrained Joints)
Maximum Angular Distortion of Fillet Welds
Go Maximum Distortion = 0.25*Angular Change in Restrained Joints*Length of Span of the Fillet Welds

Rigidity of fillet welds Formula

Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness^3)/(12+(1-Poisson's Ratio^2))
R = (E*pt^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^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 (pt) & 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 -> 0.599361 = (15*0.802^3)/(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*pt^3)/(12+(1-𝛎^2)) or Rigidity of Fillet Weld = (Young's Modulus*Plate Thickness^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 is the distance through the bearing plate & Poisson's Ratio is defined as the ratio of the lateral and 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^3)/(12+(1-Poisson's Ratio^2)). To calculate Rigidity of fillet welds, you need Young's Modulus (E), Plate Thickness (pt) & Poisson's Ratio (𝛎). With our tool, you need to enter the respective value for Young's Modulus, Plate Thickness & 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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