A plate bracket is designed to support a load of 8 kN and wi

A plate bracket is designed to support a load of 8 kN and will be welded along the top, bottom and left edges, as shown in the figure below. The 8 kN load is in the x-y plane and 60 degree below the x-axis. The weld material strength, S_u = 410 MPa and S_y = 240 MPa and a factor of safety of n = 2.2 is required.

Solution

Properties of weld treated as line;

Horizontal force; f_h = P X Sin 60⁰ = 4000 N

Vertical force; f_h = P X Cos 60⁰ = 6928.20 N

Resultant force, f_r = Root of (f_v)²+ (f_h)² = 7999.99 N

F_R = f_r/Aw = 44.44 N/mm²

W = F_R / 0.707xP = 7.85mm