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

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.

s_min ≥ 3d	AISC 360-16 J3.3
s	60 mm
d	20 mm	s =60 mm > s_min = 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.

L_eh ≥ L_e-min	AISC 360-16 J3.4
L_eh	39.85 mm		√
L_e-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.

L_ev ≥ L_e-min	AISC 360-16 J3.4
L_ev	40 mm	Conformity check for L _eh ≥ 2d = 2 * 20 = 40 mm application	√
L_{e- 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 ≥ w_min	AISC 360-16 J2.4
w	5.658 mm		√
w_min	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.

A_b
F_n
R_n		AISC 360-16 J3-1
ΦR_n

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.

d_h	20+2=22 mm
L_c,edge
R_n		AISC 360-16 J3-6a
R_n-edge
L_c,spacing
R_n-spacing
R_n
ΦR_n

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.

d_h	20+2=22 mm
L_c,edge
R_n		AISC 360-16 J3-6a
R_n-edge
L_c,spacing
R_n-spacing
R_n
ΦR_n

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
F_u-plate	469.999 N/mm²
F_u-brace	410 N/mm²
t_plate	16 mm
t_brace	10 mm
R_nw
R_n-plate
R_n-brace
R_nBM
Rn
ΦR_n

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
F_y	355 N/mm²
A_g	1892.82 mm²
F_e		AISC 360-16 E3-4


F_cr		AISC 360-16 E3-2
R_n		AISC 360-16 E3-1
ΦR_n

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
F_y	355 N/mm²
A_g	3195.199 mm²
R_n		AISC 360-16 J4-6
ΦR_n

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

F_y	355 N/mm²
Z_g
F_a
N	260,207 kN
M	10.775 kNm
t_g	10 mm
l_g	365.24 mm
F_b
F_n
R_n
ΦR_n

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.

F_y	355 N/mm²
V	292.079 kN
t_g	10 mm
l_g	365.24 mm
F_v
R_n
ΦR_n

Required	Available	Ratio	Control
79969.139 kN/m²	213000 kN/m²	0.375	√

Weld Strength

F_peak
F_avg
R_req		AISC 360-16 J2-4
t_g	10 mm
w	5.658 mm
F_e	490000 kN/m²
θ	55.473 °
R_n
ΦR_n

Required	Available	Ratio	Control
1451.376 kN/m	2423.547 kN/m	0.599	√

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Brace-Corner Connection Design Report

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