Brace-Corner Connection Design per AISC 360-16

How does ideCAD design brace-corner connection according to AISC 360-16?

• Brace-corner connection design limit states and geometry checks are done automatically according to AISC 360-16.

• Brace-corner connection compressive buckling in the withmore section of the plate checks are done automatically according to AISC 360-16.

Symbols

Ab: Non-threaded bolt web characteristic cross-sectional area
Ag: Gross area
An: Net cross-section area
Ae: Effective net cross-sectional area
Avg: Gross area under shear stress
Anv: Net area under shear stress
Ant: Net area under tensile stress
d: Characteristic diameter of the stem of the bolt (the diameter of the non-threaded stem of the bolt)
dh: Bolt hole diameter
Fy: Structural steel characteristic yield strength
Fu: Structural steel characteristic tensile strength
s: Distance between bolt-hole centers
Lc: The clear distance between bolt holes
Le: The distance from the center of the bolt hole to the edge of the assembled element
Leh: The horizontal distance from the center of the bolt hole to the edge of the assembled element
Lev: The vertical distance from the center of the bolt hole to the edge of the assembled element
t: Plate thickness
w = Size of weld leg, in. (mm)
Rn: Characteristic strength
Ubs: A coefficient considering the spread of tensile stresses

Brace to Gusset Plate Connection

GEOMETRY CHECKS

Bolts Spacing

The distance between the centers of bolts is checked per AISC 360-16.

 smin ≥ 3d AISC 360-16 J3.3 s 60 mm d 20 mm s =60 mm > smin = 3*20=60 mm √

Horizontal Edge Distance

The distance from the center of the hole to the edge of the connected part in the horizontal direction is checked per AISC 360-16.

 Leh ≥ Le-min AISC 360-16 J3.4 Leh 39.85 mm √ Le-min 26 mm Minimum distance check according to Table J3.4 √

Vertical Edge Distance

The distance from the center of the hole to the edge of the connected part in the vertical direction is checked per AISC 360-16.

 Lev ≥ Le-min AISC 360-16 J3.4 Lev 40 mm Conformity check for L eh ≥ 2d = 2 * 20 = 40 mm application √ Le- min 26 mm Minimum distance check according to Table J3.4 √

Weld Size

The minimum size of fillet welds is checked according to AISC 360-16 Table J2.4

 w ≥ wmin AISC 360-16 J2.4 w 5.658 mm √ wmin 5 mm Table J2.4 √

STRENGTH CHECKS

Bolt Shear at Brace

The bolt shear limit state of the connection is checked according to AISC 360-16.

 Ab Fn Rn AISC 360-16 J3-1 ΦRn

Required

Available

Ratio

Control

413.063 kN

424.115 kN

0.974

Bolt Bearing on Plate

The bearing strength limit states of the connection plate, which are “shear tear out” and “ovalization of bolt hole” for both end and inner bolts, are checked according to AISC 360-16.

 dh 20+2=22 mm Lc,edge Rn AISC 360-16 J3-6a Rn-edge Lc,spacing Rn-spacing Rn ΦRn

Required

Available

Ratio

Control

413.063 kN

906.912 kN

0.455

Bolt Bearing on Gusset

The bearing strength limit states of the connection plate, which are “shear tear out” and “ovalization of bolt hole” for both end and inner bolts, are checked according to AISC 360-16.

 dh 20+2=22 mm Lc,edge Rn AISC 360-16 J3-6a Rn-edge Lc,spacing Rn-spacing Rn ΦRn

Required

Available

Ratio

Control

413.063 kN

566.82 kN

0.729

Weld Strength

The nominal and design strength of the weld is checked according to AISC 360-16

 Fe 490000 kN/m2 w 5.658 mm Fu-plate 469.999  N/mm2 Fu-brace 410 N/mm2 tplate 16 mm tbrace 10 mm Rnw Rn-plate Rn-brace RnBM Rn ΦRn

Required

Available

Ratio

Control

413.063 kN

493.92 kN

0.836

Whitmore Section Buckling

The buckling limit state in withmore section of the plate subjected to compression is checked according to AISC 360-16.

 K 0.65 L 159.85 mm r 2.887 mm KL / r 35.99 Fy 355 N/mm2 Ag 1892.82 mm2 Fe AISC 360-16 E3-4 Fcr AISC 360-16 E3-2 Rn AISC 360-16 E3-1 ΦRn

Required

Available

Ratio

Control

413.063 kN

548.567 kN

0.753

Plate Compression Yield

The yield limit state of the connection plate subjected to compression is checked according to AISC 360-16.

 K 0.65 L 60 mm r 4.619 mm KL / r 8.44 Fy 355 N/mm2 Ag 3195.199 mm2 Rn AISC 360-16 J4-6 ΦRn

Required

Available

Ratio

Control

413.063 kN

1020.866 kN

0.405

Gusset-to-Support Connection

GEOMETRY CHECKS

Weld Size

The minimum size of fillet welds is checked according to AISC 360-16 Table J2.4

 w ≥ wmin AISC 360-16 Table J2.4 w 4 mm √ wmin 3.5 mm Table J2.4 √

STRENGTH CHECKS

Gusset Axial Yield

The yield limit state of the connection gusset plate subjected to axial force is checked according to AISC 360-16.

 Fy 355 N/mm2 Zg Fa N 260,207 kN M 10.775 kNm tg 10 mm lg 365.24 mm Fb Fn Rn ΦRn

Required

Available

Ratio

Control

116237.092 kN/m2

319500 kN/m2

0.364

Gusset Shear Yield

The yield limit state of the connection plate subjected to compression is checked according to AISC 360-16.

 Fy 355 N/mm2 V 292.079 kN tg 10 mm lg 365.24 mm Fv Rn ΦRn

Required

Available

Ratio

Control

79969.139 kN/m2

213000 kN/m2

0.375

Weld Strength

 Fpeak Favg Rreq AISC 360-16 J2-4 tg 10 mm w 5.658 mm Fe 490000 kN/m2 θ 55.473 ° Rn ΦRn

Required

Available

Ratio

Control

1451.376 kN/m

2423.547 kN/m

0.599

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