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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	Values	Units
♦ Shear stress in weld, τshear		106N/m2
♦ Polar moment of inertia, Jgroup		10-6m4
♦ Stress due to torque, τtorsion		106N/m2
♦ Angle, α		°
♦ Maximum shear stress, τmax		106N/m2

Welded Connection Under Torsion And Shear.

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 a fillet welded connection (2 fillet welds) carrying a load as shown, which results in a shear force and torque in the weld. 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
     r_o = radial distance to farthest point on weld (derived)
     α = angle enclosed by r_o and the vertical (derived)
     J_group = polar moment of inertia of the 2 welded areas about centriod of weld group
     τ_shear = shear stress in weld due to shear force
     τ_torsion = shear stress in weld due torsion
     τ_max = resultant maximum shear stress in weld

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.