Fillet Weld Strength Calculation Example for Welded Connection Subjected to Bending

Fillet Weld Strength Calculation Example for Welded Connection Subjecte... http://blog.mechguru.com/free-caculator/weld-strength-calculation-exampl...

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« Fillet Weld Size Calculation Equations for Welding Joint Subjected to Bending Moment Welding Joint Design Calculation Example for Fillet weld in Torsion in 10 Steps » Print this Post

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The basic methodology and the required equations for fillet weld size calculation is discussed in the previous article . It will be great if you go through the article before attempting to understand the welding joint design calculation example here.

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11/9/2013 12:07 PM

Fillet Weld Strength Calculation Example for Welded Connection Subjecte... http://blog.mechguru.com/free-caculator/weld-strength-calculation-exampl...

here to find out the required welding size:

Weld Strength Calculation Example in Bending

F= applied load = 20000 N D = Diameter of tube = 200 mm X = Distance = 100mm

1. Unit throat length area (Au) of the welded joint is calculated from the eq.1 as below: Au=3.14*D=3.14*200=628 sq.mm

2. Design strength (Pw) is calculated from the eq.2 as: Pw=0.5*fu=0.5*430 = 215 N/sq. Mm

Where, fu is the ultimate tensile stress of the parent material. Assuming the parent material as S275 which has ultimate stress value (fu) 430 N/sq.mm.

3. Unit area moment of inertia (Iu) for the circular welded area around the tube can be calculated as Iu=3.14*(D/2)*(D/2)*(D/2)=3.14*200*200*200/8=3140000 mm4

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Fillet Weld Strength Calculation Example for Welded Connection Subjecte... http://blog.mechguru.com/free-caculator/weld-strength-calculation-exampl...

Where, 3.14 is the value of PI.

4. Direct shear stress (τs) for the fillet welded connection is calculated from the eq.3 as: τs=F/Au=20000/628=31.87 N/sq.mm

5. Shear stress due to bending ( τb) is calculated from the eq.4 as:

τb=M*Y/Iu=F*X*0.5*D/Iu= 20000*100*0.5*200/3140000 = 63.69 N/sq.mm

Where, M is the bending moment for the applied force Y is the distance between the X-X axis and the extreme fibre of the welded cross section, it is radius for the circular cross section.

6. Resultant stress (τ) can be found out after weld stress analysis calculation by using the eq.5 as:

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Fillet Weld Strength Calculation Example for Welded Connection Subjecte... http://blog.mechguru.com/free-caculator/weld-strength-calculation-exampl...

7. Weld throat size (t) to be calculated using the eq.6 like:

t= τ / Pw=71.17 / 215= 0.331 mm

8. Weld leg length (L) need to be find out using the eq.7 as:

L=1.414*t = 1.414*0.331 = 0.468 mm

So, from the fillet weld size calculation example we found that the required minimum weld leg length to withstand the weld force is to be 0.468 mm, we will take the 3mm as the weld size for this example problem.

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Fillet Weld Size Calculation Equations for Welding Joint Subjected to Bending Moment

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About the author

Suvo 4 of 6

11/9/2013 12:07 PM

Fillet Weld Strength Calculation Example for Welded Connection Subjecte... http://blog.mechguru.com/free-caculator/weld-strength-calculation-exampl...

Suvo is a production engineer by profession and writer/blogger by passion. Apart from maintaining this blog, he also get some freelance work like: Mechanical design, CAD, CAE, Assignment report writing, Website design. Read More>>

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cindy

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you are a genius 1

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td

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Should the first equation to be r 2 instead of D? •

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Georgie

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The units do not work out.... t= tau/Pw = (N/ Sq mm) / (N/Sq mm) = unitless and not length. There are other issues as well, but I would revisit your analysis if I were you. Nice try though. •

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Avatar MechGuru Mod • Thanks for your comment. Please see the previous article: http://blog.mechguru.com/machi... You will find that the "tau" and "Pw" is calulated based on unit throat sie in mm and hence by dividing "tau / Pw" you will get the throat size in mm. It will be great if you tell what are the other issues, i can try to correct it. •

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Screw or Bolt Thread Engagement Length Calculation •

— how to calculate tensile Avatar stress area

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Tractive Force Calculation for a Vehicle •

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11/9/2013 12:07 PM

Fillet Weld Strength Calculation Example for Welded Connection Subjecte... http://blog.mechguru.com/free-caculator/weld-strength-calculation-exampl...

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