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INPUT   DATA

♥ EXAMPLE Of Input/Output

Title

Length of weld, L		cm
Throat of weld, H		cm
Distance of load to centroid of weld group, Lo		cm
Distance from weld to centroid, do		cm
External force, P		N

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OUTPUT   VARIABLES   &   GRAPHS

STRESSES	Horizontal Weld	Vertical Weld	Units
♦ Shear stress in weld, τshear			106N/m2
♦ Moment of inertia, Igroup			10-6m4
♦ Stress due to bending, σbending			106N/m2
♦ Average stress, σavg			106N/m2
♦ Maximum shear stress, τmax			106N/m2
♦ Principal stress, σ1			106N/m2

Welded Connection Under Bending Loading.

In a fillet weld, the two parts to be joined together are placed one on top of the other and the right-angle corners created are filled with weld. Consider two scenarios of a fillet welded connection (2 fillet welds) supporting a cantilevered bar carrying a load at its free end. In the first scenario, the welds are horizontal, and in the second the welds are vertical. The stresses acting in the weld are described by the equations below:

where
     L = length of weld
     H = throat depth of weld
     P = applied force
     L_o = perpendicular distance from centroid of weld group to applied force
     d_o = distance from centroid of weld group to centerline of weld
     I_group = moment of inertia of the 2 welded areas about centriod of weld group
     τ_shear = shear stress in weld due to shear force
     σ_bending = normal stress in weld due to bending moment
     σ_avg = average stress in weld
     τ_max = maximum shear stress
     σ₁ = principal stress

Tips

    ◊ Use link EXAMPLE Of Input/Output  to demo data entry expectations and results; you may edit & use it as starting point

BIBLIOGRAPHY

• Brown TH; Marks' Calculations for Machine Design; McGraw Hill, New York, 2005, Chapter 8.
• Hicks TG; Mechanical Engineering Formulas, Pocket Guide; McGraw Hill, New York, 2003.
• Young WC & Budynas RG; Roark's Formulas for Stress and Strain; 7th Edition, McGraw Hill, New York, 2002.