Calculations per AISC 360-22 Table {{oTable}}
Note: Table K5.1 assumes both branches to be equal with same branch angle in Gapped K-Connections.
Branch i = Overlapping Branch
Branch angle θ{{TRUE_i}}is the acute angle between the branch and the chord
Branch angle θj is the acute angle between the branch and the chord
HSS Chord Width: B = {{oB:Text}} in
HSS Chord Height: H = {{oH}} in
HSS Chord Design Thickness: t = {{ot}} in
HSS Chord Outside Diameter: D = {{oB}} in
HSS Chord Design Thickness: t = {{ot}} in
Branch Plate Width: Bb{{TRUE_i}} = {{oBb}} in
Branch Plate Thickness: tb{{TRUE_i}} = {{otbi}} in
Branch Plate to Chord Width Ratio: β{{TRUE_i}} = {{oBetai}} in
HSS Branch Width: Bb{{TRUE_i}} = {{oBb}} in
HSS Branch Height: Hb{{TRUE_i}} = {{oHbi}} in
HSS Branch Design Thickness: tb{{TRUE_i}} = {{otbi}} in
Branch to Chord Width Ratio: β{{TRUE_i}} = {{oBetai}} in
HSS Branch Outside Diameter: Db = {{oBb}} in
HSS Branch Design Thickness: tb = {{otbi}} in
Branch to Chord Width Ratio: β = {{oBetai}}
HSS Branch Width: Bb{{TRUE_i}} = {{oBb}} in
HSS Branch Height: Hb{{TRUE_i}} = {{oHbi}} in
HSS Branch Design Thickness: tb{{TRUE_i}} = {{otbi}} in
Branch to Chord Width Ratio: β{{TRUE_i}} = {{oBetai}} in
HSS Branch Width: Bb{{TRUE_i}} = {{oBb}} in
Overlapping Branch Projected Length: lp = {{oLap}} in
Overlap Length Along Chord lov = {{iLov}} in
OV = lov /lp OV = {{oOV}}% {{oOV_valid}}
Overlapped HSS Branch Width: Bbj = {{oBbj}} in
Overlapped HSS Branch Height: Hbj = {{oHbj}} in
Overlapped HSS Branch Design Thickness: tbj = {{otbj}} in
Overlapped Branch to Chord Width Ratio: βj = {{oBetaj}}
HSS Chord Width: B = {{oB:Text}} in
HSS Chord Height: H = {{oH}} in
HSS Chord Design Thickness: t = {{ot}} in
HSS Chord Outside Diameter: D = {{oB}} in
HSS Chord Design Thickness: t = {{ot}} in
Branch Plate Width: Bb{{TRUE_i}} = {{oBb}} in
Branch Plate Thickness: tb{{TRUE_i}} = {{otbi}} in
Branch Plate to Chord Width Ratio: β{{TRUE_i}} = {{oBetai}} in
HSS Branch Width: Bb{{TRUE_i}} = {{oBb}} in
HSS Branch Height: Hb{{TRUE_i}} = {{oHbi}} in
HSS Branch Design Thickness: tb{{TRUE_i}} = {{otbi}} in
Branch to Chord Width Ratio: β{{TRUE_i}} = {{oBetai}} in
HSS Branch Outside Diameter: Db = {{oBb}} in
HSS Branch Design Thickness: tb = {{otbi}} in
Branch to Chord Width Ratio: β = {{oBetai}}
HSS Branch Width: Bb{{TRUE_i}} = {{oBb}} in
HSS Branch Height: Hb{{TRUE_i}} = {{oHbi}} in
HSS Branch Design Thickness: tb{{TRUE_i}} = {{otbi}} in
Branch to Chord Width Ratio: β{{TRUE_i}} = {{oBetai}} in
HSS Branch Width: Bb{{TRUE_i}} = {{oBb}} in
Overlapping Branch Projected Length: lp = {{oLap}} in
Overlap Length Along Chord lov = {{iLov}} in
OV = lov /lp OV = {{oOV}}% {{oOV_valid}}
Overlapped HSS Branch Width: Bbj = {{oBbj}} in
Overlapped HSS Branch Height: Hbj = {{oHbj}} in
Overlapped HSS Branch Design Thickness: tbj = {{otbj}} in
Overlapped Branch to Chord Width Ratio: βj = {{oBetaj}}
B = {{oB:Text}}
H = {{oH}} in
t = {{ot}} in
D = {{oB}} in
t = {{ot}} in
Bbi = {{oBb}} in
Hbi = {{oHbi}} in
tbi = {{otbi}} in
βi = {{oBetai}} in
Dbi = {{oBb}} in
tbi = {{otbi}} in
βi = {{oBetai}}
lp = {{oLap}} in
Lov = {{iLov}} inOV = {{oOV}}%
Bbj = {{oBbj}} in
Hbj = {{oHbj}} in
tbj = {{otbj}} in
βj = {{oBetaj}}
Eq. {{oEQ_1}}
Be = {{oBei}} in Branch Effective Width at Chord
Eq. {{oEQ_1}}
Be = {{oBei}} in Branch Effective Width at Chord
Eq. {{oEQ_1}}
lw = {{oLw}} in Total Weld Length Around Branch
Eq. {{oEQ_1}}
le_50 = {{oLe_50}} in Effective Weld Length at θ = 50°
Eq. {{oEQ_1}}
Beoi = {{oBeoi}} in Branchi Effective Width at Chord
Eq. {{oEQ_1}}
le<50 = {{oLei}} in Effective Weld Length at θ < 50°
Eq. {{oEQ_2}}
le>60 = {{oLei}} in Effective Weld Length at θ > 60°
Eq. {{oEQ_2}}
le = {{oLei}} in Effective Weld Length
Eq. {{oEQ_2}}
le = {{oLei}} in Effective Weld Length
Eq. {{oEQ_2}}
le = {{oLei}} in Effective Weld Length
Eq. {{oEQ_2}}
le_60 = {{oLe_60}} in Effective Weld Length at θ = 60°
Interpolate: le = {{oLei}} in
Eq. {{oEQ_2}}
Beov = {{oBeov}} in Branchi Effective Width at Branchj
ADDITIONAL WELD INFORMATION FOR MOMENT CONNECTIONS
Eq. {{oEQ_3}}
Sip = {{oSip:Decimal;0.000}} in3 ({{oSip_in:Decimal;0.000}} in3/in) Effective Weld Elastic Section Modulus In-plane
Eq. {{oEQ_3}}
lei = {{oLei}} in Branchi Effective Weld Length
Eq. {{oEQ_4}}
Sop = {{oSop:Decimal;0.000}} in3 ({{oSop_in:Decimal;0.000}} in3/in) Effective Weld Elastic Section Modulus Out-of-plane
Note: Sip, Sop (in3/in) can be used to determine required weld throat for a given moment load
Eq. {{oEQ_4}}
Bej = {{oBej}} in Branchj Effective Width at Chord
Eq. {{oEQ_5}}
lej = {{oLej}} in Branchj Effective Weld Length