T-Plate Connection Design per AISC 360-16

How does ideCAD design T-plate connection according to AISC 360-16?

T-plate connection limit states and geometry checks are done automatically according to AISC 360-16.

The block shear limit state is checked automatically according to AISC 360-16.

Limit states of single plate flexural yield, plate flexural bucking, and weld strength are checked automatically.

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
A_w: Cross-section web area
C_v: Coefficient of reduction for shear buckling
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
F_yb: Bolt characteristic yield strength
F_ub: Bolt characteristic tensile strength
n_sp: Number of slip planes
s: Distance between bolt-hole centers
L: Connector distance
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
R_n: Characteristic strength
R_nt: Characteristic tensile strength
R_nv: Characteristic shear strength
U_bs: A coefficient considering the spread of tensile stresses

Connection Geometry

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	80.4 mm
d	20 mm	s =80.4 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	40 mm	L_eh ≥ 2d = 2 * 20 = 40 mm conformity check for application	√
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	L_eh ≥ 2d = 2 * 20 = 40 mm conformity check for 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

a ≥ a_min	AISC 360-16 Table J2.4
a	12.73 mm		√
a_min	5 mm	Table J2.4	√

Erection Stability

L≥ h_b / 2
L	160.4 mm
h_b	190.4 mm	L=160.4 > 190.4/2=95.2 mm	√

Strength Checks

Bolt Shear at Beam

The calculation is made using the Elastic method, one of the methods selected in the steel analysis settings tab. For the details of this check, AISC Manual 14th 7-8 is used as a reference.

In this check, the operation is performed on half of the symmetry axis and is calculated to form a force pair with the required force.

A_g
F_y	235.359 N/mm²
F_n
R_n		AISC Manual 14^th 7-8
R_n / Ω

Required	Available	Check	Result
3.67 kN	56,549 kN	0.065	√

Bolt Bearing on Beam

The bearing strength limit states of the 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
t	6.2 mm
L_c,spacing
R_n		AISC 360-16 J3.6a
R_n-spacing
R_n
R_n / Ω

Required	Available	Check	Result
24.138 kN	107.983 kN	0.224	√

Bolt Bearing on Plate

Bearing strength limit states of the connection plate that 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
t	12 mm
L_c,edge
R_n		AISC 360-16 J3.6a
R_n-edge
L_c,spacing
R_n-spacing
R_n
R_n / Ω

Required	Available	Check	Result
24.138 kN	180.26 kN	0.134	√

Beam Shear Rupture

The shear strength of connecting elements in shear is the minimum value obtained according to the limit states of shear yielding and shear rupture. Shear rupture is checked according to AISC 360-16.

A_nv
F_u	362.846 N/mm²
R_n		AISC 360-16 J4-4
R_n / Ω

Required	Available	Check	Result
24.138 kN	129.58 kN	0.186	√

Plate Shear Yield

The shear strength of connecting elements in shear is the minimum value obtained according to the limit states of shear yielding and shear rupture. Shear yielding is checked according to AISC 360-16.

A_g
F_y	235.359 N/mm²
R_n		AISC 360-16 J4-3
R_n / Ω

Required	Available	Check	Result
24.138 kN	181.208 kN	0.133	√

Plate Shear Rupture

The shear strength of connecting elements in shear is the minimum value obtained according to the limit states of shear yielding and shear rupture. Shear rupture is checked according to AISC 360-16.

A_nv
F_u	362.846 N/mm²
R_n		AISC 360-16 J4-4
R_n / Ω

Required	Available	Check	Result
24.138 kN	146,822 kN	0.164	√

Plate Block Shear Rupture

The block shear limit state is checked according to AISC 360-16. All block shear modes combined with tensile failure on one plane and shear failure on a perpendicular plane are checked according to AISC 360-16.

A_g
A_nv
A_nt
F_y	235.359 N/mm²
F_u	362.846 N/mm²
U_bs	1.0

R_n		AISC 360-16 J4-5
R_n / Ω

Required	Available	Check	Result
24.138 kN	162,972 kN	0.148	√

Plate Flexural Buckling

Single plate material slenderness check.

F_y	235.359 N/mm²
t	12 mm
a	113 mm
L	279 mm
λ

Required	Available	Check
≤0.70	0.29	√

Plate Flexural Yield

Single plate material flexural yielding check.

d_p	278.6 mm
F _y	235.359 N/mm²
t _p	12 mm
a	112.95 mm
R_n
R_n / Ω

Required	Available	Check	Result
24.138 kN	213.295 kN	0.113	√

Weld Strength at Support

F_e	480000 kN/m²
w	12.73 mm
F_u	362.846 N/mm²
t	12 mm
R_nw
R_nBM
Rn
R_n / Ω

Required	Available	Check	Result
0.015 kN/m	1306.245 kN/m	1.15 * 10 ^(-5)	√

T-Plate Connection Design Report

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T-Plate Connection Design Report

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