Brace-Corner Connection Design per AISC 360-16

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

Symbols

A_b: Non-threaded bolt web characteristic cross-sectional area
A_g: Gross area
A_n: Net cross-section area
A_e: Effective net cross-sectional area
A_vg: Gross area under shear stress
A_nv: Net area under shear stress
A_nt: Net area under tensile stress
d: Characteristic diameter of the stem of the bolt (the diameter of the non-threaded stem of the bolt)
d_h: Bolt hole diameter
F_y: Structural steel characteristic yield strength
F_u: Structural steel characteristic tensile strength
s: Distance between bolt-hole centers
L_c: The clear distance between bolt holes
L_e: The distance from the center of the bolt hole to the edge of the assembled element
L_eh: The horizontal distance from the center of the bolt hole to the edge of the assembled element
L_ev: 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)
R_n: Characteristic strength
U_bs: A coefficient considering the spread of tensile stresses

Connection Geometry

Brace to Gusset Plate Connection

GEOMETRY CHECKS

Bolts Spacing

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

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.

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.

Weld Size

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

STRENGTH CHECKS

Bolt Shear at Brace

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

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

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

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

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

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

Gusset-to-Support Connection

GEOMETRY CHECKS

Weld Size

The minimum size of fillet welds is checked according to AISC 360-16 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

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

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