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

Tip
Single plate connection limit states checks and geometry checks are done automatically according to AISC 360-16?

Symbols

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Connection Geometry

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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

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s

...

79.5 mm

...

d

...

20 mm

...

s =79.5 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

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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 AISC 360-16 Table J3.4

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√

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

...

Tip
Single plate connection limit states checks 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
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_nt: Characteristic tensile strength
F'_nt: Reduced characteristic tensile stress obtained by considering the shear force effect
F_nv: Characteristic shear stress strength
f_rv: The greatest shear stress in the characteristic web area of the bolt
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-holecenters
L: Connector distance
L_e: The distance from the center of the bolt hole to the edge of the assembled element
t: Plate thickness
R_nt: Characteristic tensile strength
R_nv: Characteristic shear strength
U_bs: A coefficient considering the spread of tensile stresses

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Connection Geometry

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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	79.5 mm
d	20 mm	s =79.5 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 vertical horizontal direction is checked per AISC 360-16.

L

_ev
_eh ≥ L_e-min
AISC 360-16 J3.4

L
_ev
_eh
40 mm
L_eh ≥ 2d = 2 * 20 = 40 mm conformity check for application
√
L_e-min
26 mm
Minimum distance check according to AISC 360-16 Table J3.4
√

...

Vertical Edge Distance

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

...

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

Table J2
J3.4

w
12.73 mm

√
w_min
5 mm
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 AISC 360-16 Table
J2
J3.4
√

Erection Stability

...

L

...

239 mm

...

h_b

...

248.6 mm

...

L=239 > 248.6/2=124.3 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 it is calculated to form a force pair with the required force.

...

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	12.73 mm		√
w_min	5 mm	AISC 360-16 Table J2.4	√

Erection Stability

L_{≥ h_b/2}
L	239 mm
h_b	248.6 mm	L=239 > 248.6/2=124.3 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 it is calculated to form a force pair with the required force.

A_b

Mathinline

body	--uriencoded--\normalsize A_b = \dfrac%7B\pi d%5e2%7D%7B4%7D = \dfrac%7B\pi %7B20%7D%5e2%7D%7B4%7D =314.159 \; \; \mathrm%7Bmm%5e2%7D

F_n=F_nv

Mathinline

body	--uriencoded--\normalsize F_n = F_%7Bnv%7D=0.450F_%7Bub%7D=0.450\times 800 = 360 \; \; \mathrm%7BMPa%7D

R_n

Mathinline

body	--uriencoded--\normalsize R_n = F_%7Bn%7D \times A_b =360 \times 314.159 \times 10%5e%7B-3%7D = 113.097 \; \; \mathrm%7BkN%7D

R_n / Ω

Mathinline

body	--uriencoded--\normalsize R_n/ \Omega = 113.097 /2 = 56.549 \; \; \mathrm%7BkN%7D

Required	Available	Check	Result
34,318 kN	56,549 kN	0.607	√

Bolt Bearing on Beam

Bearing strength limit states of the 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

L_c,edge

Mathinline

body	--uriencoded--\normalsize L_%7Bc,edge%7D = L_e - 0.5d_h

Mathinline

body	--uriencoded--\normalsize L_%7Bc,edge%7D = \Big[ \Big( \dfrac%7B378.6-239%7D%7B2%7D \Big)+40-0.5 \times 22 \Big] = 98.8 \; \; \mathrm%7Bmm%7D

R_n

Mathinline

body	--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2L_c \times t \times F_u \\2.4d \times t \times F_u \end%7Bmatrix%7D\right] \end%7Baligned%7D

AISC 360-16 J3-6a

R_n-edge

Mathinline

body	--uriencoded--\begin%7Baligned%7D\normalsize R_%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 ( 98.9) ( 7.1 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 20) ( 7.1 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 123.658 \; \mathrm%7BkN%7D

L_c,spacing

Mathinline

body	--uriencoded--\normalsize L_%7Bc,spacing%7D = s - d_h = 79.5-22=57.5 \; \mathrm%7Bmm%7D

R_n-spacing

Mathinline

body	--uriencoded--\begin%7Baligned%7D\normalsize R_%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 ( 57.5) ( 7.1 )(362.846 \times 10%5e%7B-

\normalsize A_b = \dfrac%7B\pi d%5e2%7D%7B4%7D = \dfrac%7B\pi %7B20%7D%5e2%7D%7B4%7D =314.159 \; \; \mathrm%7Bmm%5e2%7D
F_n=F_nv

3%7D) \\ 2.4 ( 20) ( 7.1 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 123.658 \; \mathrm%7BkN%7D

R_n
Mathinline
body --uriencoded--\normalsize
F
R_
n = F_%7Bnv%7D=0.450F_%7Bub%7D=0.450\times 800 = 360 \; \; \mathrm%7BMPa%7DR_n
%7Bn%7D = n_e \times R_%7Bn,edge%7D + n_s \times R_%7Bn,spacing%7D
Mathinline
body --uriencoded--\normalsize R_
n = F_
%7Bn%7D
\times A_b
=
360
1 \times
314
123.
159
658 + 2 \times
10%5e%7B-3%7D = 113.097 \;
123.658 = 370.974 \; \mathrm%7BkN%7D

R_n / Ω
Mathinline
body --uriencoded--\normalsize R_n/ \Omega =
113
370.
097
974 /2 =
56
185.
549
487 \; \; \mathrm%7BkN%7D

Required	Available	Check	Result

34
68,
318
159 kN
56
185,
549
487 kN
0.
607
367
√

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

L_c,edge

Mathinline

body	--uriencoded--\normalsize L_%7Bc,edge%7D = L_e - 0.5d_h

Mathinline

body	--uriencoded--\normalsize L_%7Bc,edge%7D =

\Big[ \Big( \dfrac%7B378.6-239%7D%7B2%7D \Big)+
40 -0.5 \times 22
\Big] = 98.8
= 29 \; \; \mathrm%7Bmm%7D

R_n
Mathinline
body --uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2L_c \times t \times F_u \\2.4d \times t \times F_u \end%7Bmatrix%7D\right] \end%7Baligned%7D
AISC 360-16 J3-6a
R_n-edge
Mathinline
body --uriencoded--\begin%7Baligned%7D\normalsize R_%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 (
98.9
29) (
7.1
12 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 20) (
7.1
12 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D =
123
151.
658
525 \; \mathrm%7BkN%7D

L_c,spacing
Mathinline
body --uriencoded--\normalsize L_%7Bc,spacing%7D = s - d_h = 79.5-22=57.5 \; \mathrm%7Bmm%7D

R_n-spacing
Mathinline
body --uriencoded--\begin%7Baligned%7D\normalsize R_%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 ( 57.5) (
7.1
12 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 20) (
7.1
12 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D =
123
208.
658
99 \; \mathrm%7BkN%7D

R_n
Mathinline
body --uriencoded--\normalsize R_%7Bn%7D = n_e \times R_%7Bn,edge%7D + n_s \times R_%7Bn,spacing%7D
Mathinline
body --uriencoded--\normalsize R_%7Bn%7D = 1 \times
123
151.
658
525 + 2 \times
123
208.
658
99 =
370
569.
974
505 \; \mathrm%7BkN%7D

R_n/Ω
Mathinline
body --uriencoded--\normalsize R_n/ \Omega =
370
569.
974
505 /2 =
185
284.
487 \; \; \mathrm%7BkN%7D

Required
Available
Check
Result
68,159 kN
185,487 kN
0.367
√

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.

--uriencoded--\normalsize L_%7Bc,edge%7D = L_e - 0.5d_h

Mathinline
d_h	20+2=22 mm
L_c,edge
body

75 \; \; \mathrm%7BkN%7D

Required	Available	Check	Result
68,159 kN	284,75 kN	0.239	√

Plate Shear Yield

In the case of the block shear limit state, the gross area yielding of the tensile plane is checked according to AISC 360-16.

A_g

Mathinline

body	--uriencoded--\normalsize A_%7Bg%7D = L_

%7Bc,edge%7D = 40 -0.5
pt_p = 239 \times
22
12 =
29
2868 \; \; \
mathrm%7Bmm%7D
mathrm%7Bmm%5e2%7D

F_y
235.359 N/mm²

R_n
Mathinline
body --uriencoded--\normalsize R_n = 0.6F_%7By%7D A_g
Mathinline
body --uriencoded--
\begin%7Baligned%7D
\normalsize R_n =
\mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2L_c \times t \times F_u \\2.4d \times t \times F_u \end%7Bmatrix%7D\right] \end%7Baligned%7D
0.6 \times 235.359 \times2868 \times 10%5e%7B-3%7D = 405 \; \; \mathrm%7BkN%7D
AISC 360-16
J3
J4-
6a
3
R_n
-edge
/Ω
Mathinline
body --uriencoded
--\begin%7Baligned%7D\normalsize R_%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 ( 29) ( 12 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 20) (12 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 151.525
--\normalsize R_n/ \Omega = 405 /1.5 =270 \; \; \mathrm%7BkN%7D

L_c,spacing
Mathinline
body --uriencoded--\normalsize L_%7Bc,spacing%7D = s - d_h = 79.5-22=57.5 \; \mathrm%7Bmm%7D

R_n-spacing

Required	Available	Check	Result
68,159 kN	270 kN	0.252	√

Beam Shear Rupture

In the case of the block shear limit state, the net area rupture of the tensile plane of the connection part is checked according to AISC 360-16.

A_nv

Mathinline

body	--uriencoded--

\begin%7Baligned%7D
\normalsize
R
A_
%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 ( 57.5) ( 12 )(362.846 \times 10%5e%7B-3%7D) \\ 2.4 ( 20) (12 )(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right]\end%7Baligned%7D = 208.99 \; \mathrm%7BkN%7D
%7Bnv%7D = t_p(d_b-n_bd_e) = 7.1 \times (300-3 \times 24) = 1618.8 \; \; \mathrm%7Bmm%5e2%7D

F_u
362.846 N/mm²

R_n
Mathinline
body --uriencoded--\normalsize R_
%7Bn%7D
n =
n_e \times R_%7Bn,edge%7D + n_s \times R_%7Bn,spacing%7D
0.6F_%7Bu%7D A_%7Bnv%7D
Mathinline
body --uriencoded--\normalsize R_
%7Bn%7D
n =
1
0.6 \times
151
362.
525 + 2
846 \times
208.99 = 569.505
1618.8 \times 10%5e%7B-3%7D = 352.425 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3
R_n / Ω
Mathinline
body --uriencoded--\normalsize R_n/ \Omega =
569
352.
505
425 /2 =
284
176.
75
213 \; \; \mathrm%7BkN%7D

Required	Available	Check	Result
68,159 kN

284,75
176.213 kN
0.
239
387
√

Plate Shear

...

Rupture

In the case of the block shear limit state, the gross net area yielding rupture of the tensile plane of the connection part is checked according to AISC 360-16.

...

A_g

...

F_y

...

360-16.

A_nv

Mathinline

body	--uriencoded--\normalsize A_%7Bnv%7D = t_p(d_b-n_bd_e) = 12 \times (239-3 \times 24) = 2004 \; \; \mathrm%7Bmm%5e2%7D

F_u

362.846 N/mm²

R_n

Image Removed
AISC 360-16 J4-3
R_n/Ω
Image Removed

Required
Available
Check
Result
68,159 kN
270 kN
0.252
√

Beam Shear Rupture

A_nv

Image Removed

F_u
362.846 N/mm²

R_n
Image Removed
AISC 360-16 J4-4
R_n / Ω
Image Removed
Mathinline
body --uriencoded--\normalsize R_n = 0.6F_%7Bu%7D A_%7Bnv%7D
Mathinline
body --uriencoded--\normalsize R_n = 0.6 \times 362.846 \times 2004 \times 10%5e%7B-3%7D = 436.286 \; \; \mathrm%7BkN%7D
AISC 360-16 J4-3
R_n / Ω
Mathinline
body --uriencoded--\normalsize R_n/ \Omega = 436.286 /2 =218.143\; \; \mathrm%7BkN%7D

Required	Available	Check	Result
68,159 kN

176
218.
213
143 kN
0.
387
312
√

Plate

...

A_nv

...

F_u

...

362.846 N/mm²

...

R_n

...

AISC 360-16 J4-4

...

R_n / Ω

...

Required

...

Available

...

Check

...

Result

...

68,159 kN

...

218.143 kN

...

0.312

...

√

Plate Block Shear Rupture

...

A_g

...

A_nv

...

A_nt

...

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

Mathinline

body	--uriencoded--\normalsize A_%7Bg%7D = (2 \times 79.5 +40) \times 12 = 2388 \; \; \mathrm%7Bmm%5e2%7D

A_nv

Mathinline

body	--uriencoded--\normalsize A_%7Bnv%7D = ((2 \times 79.5+40)-2.5 \times 24) \times 12 = 1668 \; \; \mathrm%7Bmm%5e2%7D

A_nt

Mathinline

body	--uriencoded--\normalsize A_%7Bnt%7D = 12 \times(40-0.5 \times 24) = 336 \; \; \mathrm%7Bmm%5e2%7D

F_y

235.359 N/mm²

F_u

362.846 N/mm²

U_bs

1.0

R_n

AISC 360-16 J4-43

R_n / Ω

Required	Available	Check	Result
68,159 kN	229.569 kN	0.297	√

...

Versions Compared

Old Version 29

New Version 30

Key

Connection Geometry

Geometry Checks

Bolt Spacing

Horizontal Edge Distance

Connection Geometry

Geometry Checks

Bolt Spacing

Horizontal Edge Distance

Vertical Edge Distance

Erection Stability

Strength Checks

Bolt Shear at Beam

Weld Size

Erection Stability

Strength Checks

Bolt Shear at Beam

Bolt Bearing on Beam

Bolt Bearing on

Plate

Bolt Bearing on Plate

Plate Shear Yield

Beam Shear Rupture

Plate Shear

Rupture

Beam Shear Rupture

Plate

Plate Block Shear Rupture

Block Shear Rupture

_eh	40 mm	L_eh ≥ 2d = 2 * 20 = 40 mm conformity check for application	√
L_e-min	26 mm	Minimum distance check according to AISC 360-16 Table 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 AISC 360-16 Table