Brace-Center Connection Design per AISC 360-16

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

Brace-center connection design limit states and geometry 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

Bolt 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	69.85 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	45 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	Ready	Rate	Control
205.872 kN	212.058 kN	0.971	√

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	Ready	Rate	Control
205.872 kN	456.84 kN	0.451	√

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	Ready	Rate	Control
205.872 kN	304.56 kN	0.676	√

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	15 mm	AISC 360-16 J3-6a
t_brace	15 mm
l_w	150 mm
R_nw
R_n-plate
R_nBM
R_n
ΦR_n

Required	Ready	Rate	Control
205.872 kN	529.2 kN	0.389	√

Whitmore Section Compression Yield

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

K	0.65
L	0 mm
r	2.887 mm
KL / r	0
Fy	355 N/mm²
Ag	1292.82 mm²
Rn		AISC 360-16 J4-6
ΦR_n

Required	Ready	Rate	Control
205.872 kN	413.056 kN	0.498	√

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Brace-Center Connection Design Report

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