Checking joints 12-13, 12′-13′ (welded joints) with MDESIGN

In the steps below, 🖱 means a left mouse click and → leads to the next action. Labels in the screenshots are those of the MDESIGN interface.

1. Loading diagram and input data

Input data (Sec.7.2, Ex.7.2)

Forces: F_Xs = 750 N, F_Ys = 150 N, F_Zs = 350 N.

Moments: M_X13 = 37500 Nmm, M_Y13 = 292500 Nmm, M_Z13 = 457500 Nmm.

Geometric parameters: h₁₂ = 50 mm, t₁₂ = 5 mm, g₁₃ = 15 mm, a = 4 mm.

Material: S235, weldable general-purpose steel.

Operating constraints: temperature T = (−30…40) °C.

Forces and moments in the MDESIGN xyz coordinate system

Forces: F_x = F_Ys = 150 N, F_y = −F_Zs = −350 N, F_z = F_Xs = 750 N.

Moments: T_x = M_Y13 = 292500 Nmm, M_y = M_Z13 = 457500 Nmm, M_z = −M_X13 = −37500 Nmm.

2. Entering the data (Annex.MD.2)

2.1 Launching the application

Opening the MDESIGN Weld Standard module

🖱

→

🖱

→

🖱

Saving the application

🖱 (, ) → : [ select the folder where the application will be saved], [ enter the file name Welded joint 12-13], [: ], 🖱 [the title of the main window shows: ].

Opening the application (created and saved earlier)

[select the folder where the application is saved] → 🖱

Note. While working, save intermediate versions regularly for safety (the system may freeze), using 🖱 or F10.

2.2 Selecting the Input window and general settings

Selecting the language

[🖱 select from the list the option ].

Selecting the Input page

Notes.

– the option is selected to view the results obtained after solving;

– the option is selected to view the input data.

General options (selected from the attached lists)

Notes.

– the option means static strength analyses;

– the option indicates that the assessment follows the DIN EN ISO 5017/2012 standard;

– the option indicates that residual (internal) stresses are not taken into account.

2.3 Entering the geometric, technological, loading and material data

Entering the weld geometry (Geometry)

Choosing the type of weld ()

🖱 () → : 🖱 select 🖱 (the selected name appears automatically in the text box).

Note. The selection can also be made from the attached list.

Choosing the geometry of the beam section ()

🖱 () → : 🖱 select 🖱 → : 🖱 select from the list , 🖱 → : 🖱 select from the list , 🖱 (the section data are filled in automatically in the grey boxes, which cannot be edited).

Note. The selection can also be started from the attached list.

Choosing the weld type ()

[🖱 select from the list (fillet weld)].

Choosing the type of weld bead ()

[🖱 select from the list (fillet weld)].

Entering the wall thickness of the welded element ()

[enter the thickness in the box , e.g. 5].

Entering the weld thicknesses ()

[enter the thicknesses in the boxes , e.g. 4/4/4/4].

Note. After the selections and entries above, the result is:

Entering the loading data (Loading data)

Entering the axial force ()

[enter the axial force in the box , e.g. 150].

Entering the shear force ()

[enter the shear force along the y axis in the box , e.g. −350].

Entering the shear force ()

[enter the shear force along the z axis in the box , e.g. 750].

Entering the bending moment ()

[enter the bending moment about the y axis in the box , e.g. 457500].

Entering the bending moment ()

[enter the bending moment about the z axis in the box , e.g. −37500].

Entering the torsional moment ()

[enter the torsional moment (about the x axis) in the box , e.g. 292500].

Entering the maximum-load factors (/////)

[enter the factor values in the corresponding boxes].

Note. After the selections and entries above, the result is:

Entering the material data (Material Data)

Choosing the database ()

[select from the list 🖱 (the MDESIGN database)].

Choosing the material type ()

[select from the list 🖱 (steel)].

Choosing the material designation ()

🖱 → : [select the row with the material ()] 🖱 (the material data are filled in automatically in the grey boxes, which cannot be edited).

Entering the material factor ()

[enter the value in the corresponding box, e.g. 1.1].

Note. After the selections and entries above, the result is:

Meaning

R_m – ultimate strength; R_e – yield point.

3. Solving the model and saving the results

🖱

or 🖱 or F10

→

Correct any inconsistencies or errors in the input data (only if warning windows appear)

→

🖱

or 🖱 or F10

→ 🖱

→

Weld 12-13.pdf

→ 🖱

4. Results obtained (Annex.MD.7.3_12-13)

Selecting the Output page

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.

5. Checks

Strength check for normal stresses

σ_res ≤ σ_zul; 55.88 ≤ 106.364 MPa (satisfied).

Strength check for shear stresses

τ_res ≤ τ_zul; 25.097 ≤ 106.364 MPa (satisfied).