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The calculation is based on Ref. [3],Ref. [4] and Ref. [35].
The weld size ab (weld between haunch and beam) is given by:
A similar formula is used for the weld size ac (weld between haunch and endplate/column):
where:
with:
| tf | thickness of the beam flange |
| tw|thickness of the beam web | |
| b | width of the beam flange |
| hc | height of the haunch, not taking into account the weld size ac |
| β | angle between column and haunch flanges |
| lc | length of the haunch, not taking into account the weld size ab (calculated as tan(α)*hc) |
| bc | width of the haunch flange |
| Af | area of the beam flange (Af = b*tf) |
| h | height of the column |
| Me | the design elastic moment resistance of the connected beam (Me = Wel,y * fy) |
| Mc | the moment at haunch end position lc |
| fy | the yield tensile strength of the weaker part |
| fu | the ultimate tensile strength of the weaker part |
| βW | the correlation factor |
| γM0 | the partial safety factor |
| γM2 | the partial safety factor for welds |
For the design, it is assumed that Mc=Me.
The denominator (10*tf+2*tw) represents the design width (bd) of the haunch flange. It cannot be bigger than the width of the haunch flange bc.
The haunch weld size representation is set to "Length" by default in the connection setup. In this case the direct values ab and ac weld sizes are represented in the graphics and connection monodrawings. In case "Fillet" haunch weld size representation is selected in the connection setup, the represented size of both welds is recalculated using notation and formulas below.
Weld dimensions for weld ab:
Weld dimensions for weld ac:
with:
| ab | final haunch weld ab size calculated according to the "Length" approach |
| ac | final haunch weld ac size calculated according to the "Length" approach |
| α | angle between column and haunch flanges (input angle for haunch) |
| β | angle between beam and haunch flanges |
| γ | complementary haunch angles (γ=180-α-90; γ=180-β-90) as appropriate |
| tf | thickness of the haunch flange |
| S | area of the weld triangle |
| d | outer length of the hanch weld |
See also chapters: "Calculation of flange weld size", "Connection components".
The weld size awc is given by :
with:
| tf | thickness of the beam flange |
| b | width of the beam flange |
| Af | area of the beam flange (Af = b*tf) |
| hc | height of the haunch, not taking into account the weld size ac |
| twc | thickness of the haunch plate (web) |
| α | angle between haunch flange and direction perpendicular to the column |
| lc | length of the haunch, not taking into account the weld size ab (calculated as tan(α)*hc) |
| Me | the design elastic moment resistance of the connected beam (Me = Wel,y * fy/γM0) |
| Mc | the moment at haunch end position lc |
For the design, it is assumed that Mc=Me.
See also chapter: "Connection components"