Angular Distortion at x of Fillet Welds Calculator

✖Length of span of the fillet welds is the distance between two consecutive fillet welds.ⓘ Length of Span of the Fillet Welds [L]			+10% -10%
✖Angular change in restrained joints is the angles introduced by wavy distortions due to restrictions on fillet welds.ⓘ Angular Change in Restrained Joints [φ]			+10% -10%
✖Distance from the center line of the frame is just the Distance from the center line of the frame.ⓘ Distance from the Center Line of the Frame [x]			+10% -10%

✖Distortion at x distance is the distortion introduced by the restriction of fillet welds.ⓘ Angular Distortion at x of Fillet Welds [δ]

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Formula

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Angular Distortion at x of Fillet Welds

Formula

`"δ" = "L"*(0.25*"φ"-"φ"*(("x"/"L")-0.5)^2)`

Example

`"0.54mm"="5mm"*(0.25*"1.2rad"-"1.2rad"*(("0.5mm"/"5mm")-0.5)^2)`

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Angular Distortion at x of Fillet Welds Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
δ = L*(0.25*φ-φ*((x/L)-0.5)^2)
This formula uses 4 Variables

Variables Used

Distortion at x Distance - (Measured in Meter) - Distortion at x distance is the distortion introduced by the restriction of fillet welds.
Length of Span of the Fillet Welds - (Measured in Meter) - Length of span of the fillet welds is the distance between two consecutive fillet welds.
Angular Change in Restrained Joints - (Measured in Radian) - Angular change in restrained joints is the angles introduced by wavy distortions due to restrictions on fillet welds.
Distance from the Center Line of the Frame - (Measured in Meter) - Distance from the center line of the frame is just the Distance from the center line of the frame.

STEP 1: Convert Input(s) to Base Unit

Length of Span of the Fillet Welds: 5 Millimeter --> 0.005 Meter (Check conversion here)
Angular Change in Restrained Joints: 1.2 Radian --> 1.2 Radian No Conversion Required
Distance from the Center Line of the Frame: 0.5 Millimeter --> 0.0005 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δ = L*(0.25*φ-φ*((x/L)-0.5)^2) --> 0.005*(0.25*1.2-1.2*((0.0005/0.005)-0.5)^2)

Evaluating ... ...

δ = 0.00054

STEP 3: Convert Result to Output's Unit

0.00054 Meter -->0.54 Millimeter (Check conversion here)

FINAL ANSWER

0.54 Millimeter <-- Distortion at x Distance

(Calculation completed in 00.004 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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< 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

Angular Distortion at x of Fillet Welds Formula

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 Angular Distortion at x of Fillet Welds?

Angular Distortion at x of Fillet Welds calculator uses 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) to calculate the Distortion at x Distance, Angular Distortion at x of Fillet Welds formula is defined as the distortion in dimensions introduced as a result of restraining the fillet welded joints. Distortion at x Distance is denoted by δ symbol.

How to calculate Angular Distortion at x of Fillet Welds using this online calculator? To use this online calculator for Angular Distortion at x of Fillet Welds, enter Length of Span of the Fillet Welds (L), Angular Change in Restrained Joints (φ) & Distance from the Center Line of the Frame (x) and hit the calculate button. Here is how the Angular Distortion at x of Fillet Welds calculation can be explained with given input values -> 540 = 0.005*(0.25*1.2-1.2*((0.0005/0.005)-0.5)^2).

FAQ

What is Angular Distortion at x of Fillet Welds?

Angular Distortion at x of Fillet Welds formula is defined as the distortion in dimensions introduced as a result of restraining the fillet welded joints and is represented as δ = L*(0.25*φ-φ*((x/L)-0.5)^2) or 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). Length of span of the fillet welds is the distance between two consecutive fillet welds, Angular change in restrained joints is the angles introduced by wavy distortions due to restrictions on fillet welds & Distance from the center line of the frame is just the Distance from the center line of the frame.

How to calculate Angular Distortion at x of Fillet Welds?

Angular Distortion at x of Fillet Welds formula is defined as the distortion in dimensions introduced as a result of restraining the fillet welded joints is calculated using 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). To calculate Angular Distortion at x of Fillet Welds, you need Length of Span of the Fillet Welds (L), Angular Change in Restrained Joints (φ) & Distance from the Center Line of the Frame (x). With our tool, you need to enter the respective value for Length of Span of the Fillet Welds, Angular Change in Restrained Joints & Distance from the Center Line of the Frame 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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