Welding Calculations: Return To Main Menu Basics
Welding Calculations: Return To Main Menu Basics
Welding Calculations: Return To Main Menu Basics
Welding Calculations
Welding Calculations
Design Rules for calculating the strength of butt and fillet welded joints subject to
Direct, Bending and Torsional loadings. Plus guidance on calculating centroids and
second moment of area.
Just touch the F and B labels with the mouse pointer, don't click them.
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Basics
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Welding Calculations
calculations.
Calculating Volume Using Solids Of Revolution
http://www.gowelding.com/calcs/calc.htm
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Calcs Page 1
Welding Calculations
http://www.gowelding.com/calcs/c1.html
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http://www.gowelding.com/calcs/c1.html
Calcs Page 1
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Calcs Page 1
http://www.gowelding.com/calcs/c1.html
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T Fillet Welds
http://www.gowelding.com/calcs/c2.html
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http://www.gowelding.com/calcs/c2.html
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Lap Joint
Weld subject to longitudinal shear only
http://www.gowelding.com/calcs/c3.html
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Design of Welded Lap Joints, a pdf information file from the Lincoln Arc Foundation
http://www.gowelding.com/calcs/c3.html
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Cantilever
Welds Subject to both bending and shear
http://www.gowelding.com/calcs/c4.html
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http://www.gowelding.com/calcs/c4.html
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http://www.gowelding.com/calcs/c5.html
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http://www.gowelding.com/calcs/c5.html
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http://www.gowelding.com/calcs/c5.html
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http://www.gowelding.com/calcs/c6.html
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http://www.gowelding.com/calcs/c6.html
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http://www.gowelding.com/calcs/c6.html
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http://www.gowelding.com/calcs/c7.html
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http://www.gowelding.com/calcs/c7.html
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http://www.gowelding.com/calcs/c9.html
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u := 260 MPa
Theory
( )
n , tI :=
tI + n
2
( )
I n , t I :=
tI n
2
perpendicular to edge
in respective plane
( )
II tII := tII
parallel to edge in
respective plane
n,
t I y t II determined on a throat width but in the vertical and horizontal faces of the fillet weld
co n , tI , tII :=
( )
n , tI
co n , tI , tII u
+ 1.8 I n , tI
( )
2
+ II t II
( )
tension of comparison
With this theory any fillet weld can be checked (but sometimes experimental reductions are applied).
Sole requirement of the theory is the weld metal be at least as strong as the base metal.
L := 20 cm
t 1 := 1 cm
a1 := 6 mm
b1 := 20 cm
t 2 := 1 cm
a2 := 6 mm
b2 := 20 cm
For generality, I won't assume the legs of the welds equal the thicknesses of the plates.
Also, for the acting pair I will count the horizontal forces centered on the respective
plates, this being conservative in giving bigger initial and then equilibrating moment.
Then...
a1 b1
a1 b1 + a2 b2
b1 a1
t I_top :=
stress on vertical plane from horizontal force (share of load since there are two
welds) meeting the horizontal force (assumption)
t1+t2
2
L
b1 a1
t II_top := 0 MPa
tangential stress in vertical plane from vertical force as derived from pair
a2 b2
a1 b1 + a2 b2
b2 a2
t I_bottom :=
stress on vertical plane from horizontal force (share of load since there are two
welds) meeting the horizontal force (assumption)
t1+t2
2
L
tangential stress in vertical plane from vertical force as derived from pair
b2 a2
t II_bottom := 0 MPa
= 0.46
= 0.46
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http://www.gowelding.com/calcs/c10.html
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http://www.gowelding.com/calcs/c10.html
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Bibliography
J.G.Hicks
Welded Joint Design Second Edition Abington Publishing 1997
Welded Joint Design Third Edition
Abington Publishing 1999
Welding In The World Volume 14 No 5/6 1976
(Design Rules For Welded Connexions In Steel Subject to static loading)
Warren C Young
ROARKS Formulas for stress & Strain 6th edition McGraw Hill
The Steel Construction Institute
Steel Designers Manual Fifth Edition Blackwell Scientific
G.H.Ryder
Strength Of Materials
Macmillan
http://www.gowelding.com/calcs/bib.html
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