Checking joint 8-9 (welded joint) with MDESIGN — example

1. Input data and results

Geometry data

Meaning

– y_S, z_S – position of the centre of gravity of the part (beam section); y_wS, z_wS – position of the centre of gravity of the welds;

– A_w – area; I_w – second moment of area about the y/z axis; weld; above; below; right; left;

– A_wges – total area of the welds; I_wges – total second moment of area about the y/z axis.

Loading data

Meaning

– Load specifications – the loads in the section; F_x – axial force; F_y/F_z – shear loads; M_y/M_z – bending moments; T_x – torsional moment;

– Factors for max. load – the maximum-load factors.

Stresses in the welds

Normal stresses due to the axial force F_x (row 1 for the nominal force, row 2 for the maximum force)

Stresses due to the shear force F_y (row 1 for the nominal force, row 2 for the maximum force)

Stresses due to the shear force F_z (row 1 for the nominal force, row 2 for the maximum force)

Normal stresses due to the bending moment M_y (row 1 for the nominal moment, row 2 for the maximum moment)

Normal stresses due to the bending moment M_z (row 1 for the nominal moment, row 2 for the maximum moment)

Shear stresses due to the torsional moment T_x (row 1 for the nominal moment, row 2 for the maximum moment)

Resultant stresses

Resultant normal stresses (row 1 for the nominal loads, row 2 for the maximum loads)

Resultant shear stresses (row 1 for the nominal loads, row 2 for the maximum loads)

Maximum stresses in the weld

Stresses for each type of load

Maximum and allowable stresses

Meaning

– Normal stresses caused by the axial force F_x; shear stresses caused by the shear force F_y; shear stresses caused by the shear force F_z; normal stresses caused by the bending moment M_y; normal stresses caused by the bending moment M_z; shear stresses caused by the torsional moment T_x;

– Resultant normal stresses (maximum); resultant shear stresses (maximum);

– σ_res – maximum resultant normal stress; τ_res – maximum resultant shear stress; σ_zul – allowable normal stress; τ_zul – allowable shear stress.

2. Checks

Strength check for normal stresses

σ_res ≤ σ_zul; 51.118 ≤ 106.364 (satisfied).

Strength check for shear stresses

τ_res ≤ τ_zul; 6.364 ≤ 106.364 (satisfied).