Calculate the maximum allowable shear force Vmax for the girder. The welded steel girder is having the cross section shown in the figure. It is fabricated of two 500 mm x 50 mm flange plates and a 500 mm x 50 mm web plate. The plates are joined by four fillet welds that run continuously at the length of the girder. Each weld has an allowable load in shear of 2000 kN/m.
Ix = (1/12)*50*5003+2*((1/12)*500*503+(500*50)*(250+50/2)2) = 4.31E+09 mm4
Pmax = 2*2000 KN/m
Q = Qflange=AF*dF = 500*50*(250+50/2) = 6.88E+06 mm3
Pmax = Vmax*Q/Ix = >Vmax = Pmax*Ix/Q = > Vmax = 2.51E+06