Question

A bracket plate is welded to flange of an I section on all four side using fillet weld as shown in the figure below. The shear stress in weld due to direct connectric load of 300 kN is 50 Mpa and stress in weld due to inplane moment of 120 kN-m is 141.42 Mpa, the maximum stress in weld for which the fillet weld to be designed (in Mpa) is_________

Answer 1

$\cos \theta =\frac{100}{100\sqrt{2}}=\frac{1}{\sqrt{2}}$
$q_1=50MPa$
$q_2=141.42MPa$

Maximum stress in weld for which the fillet weld to be designed
$=\sqrt{q_1^2+q_2^2+2q_1{q}_2\cos \theta }$
$=\sqrt{(50{)}^2+(141.42{)}^2+2\times 50\times 141.42\times \frac{1}{\sqrt{2}}}$
$=180.27N/m{m}^2$