Steel Buildings in Europe

Title Appendix B Worked Example: Design of a truss node with gusset 6 of 44 5 - 85 Where: A g is the cross-section area I g is the second moment of cross-section v is the position of the end fibre With: 15 580 g g w    t L A = 8700 mm 2 12 3 g w g t L I  = 243,89.10 6 mm 4 v = 290 mm Then: g,max  = -23,02 N/mm 2 2.2.3. Shear stress The shear mean stress is: g g,Ed g A V   Then: g  = 77,53 N/mm 2 One usually checks the combination of axial and shear stresses in the gusset plate section using the Von Mises criterion. 2.3. Design resistance of the fillet weld The design resistance of a fillet weld should be determined using either the directional method or the simplified method. EN 1993-1-8 4.5.3.1(1) The directional method is based on the comparison between the design tensile strength and the applied stress in the most severely loaded part of the weld throat. The applied stress, being determined from a Von Mises formulation, accounts for the influence on the weld strength of the inclination of the resultant force per unit length to the weld axis and plane. The simplified method is based on the design shear strength of the weld to which is compared directly to an applied weld throat shear stress obtained by dividing the resultant force per unit of length b the weld throat size. The simplified method is always safe compared to the directional method. Here, the directional method is applied. EN 1993-1-8 4.5.3.2 2.3.1. Directional method Note: a uniform distribution of stress is assumed in the throat section of the weld. EN 1993-1-8 4.5.3.2(4) With:   the normal stress to the throat plane   the shear stress (in the plane of throat) perpendicular to the axis of the weld   the shear stress (in the plane of throat) parallel to the axis of the weld