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

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

Tip
  • The block shear limit state is checked 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.

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smin ≥ 3d       

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AISC 360-16 J3.3

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...

 

...

s

...

79.5 mm

...

 

...

 

...

d

...

20 mm

...

s =79.5 mm > smin = 3*20=60 mm

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Horizontal Edge Distance

The distance from the center of the hole to the edge of the connected part in the horizontal direction How does ideCAD design single plate connection according to AISC 360-16?

...

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

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

...

Symbols

Ab: Non-threaded bolt web characteristic cross-sectional area
Ag: Gross area
An: Net cross-section area
Ae: Effective net cross-sectional area
Avg: Gross area under shear stress
Anv: Net area under shear stress
Ant: Net area under tensile stress
Aw: Cross-section web area
Cv: 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)
dh: Bolt hole diameter
Fnt: Characteristic tensile strength
F'nt: Reduced characteristic tensile stress obtained by considering the shear force effect
Fnv: Characteristic shear stress strength
frv: The greatest shear stress in the characteristic web area of ​​the bolt
Fy: Structural steel characteristic yield strength
Fu: Structural steel characteristic tensile strength
Fyb: Bolt characteristic yield strength
Fub: Bolt characteristic tensile strength
nsp: Number of slip planes
s: Distance between bolt-holecenters
L: Connector distance
Le: The distance from the center of the bolt hole to the edge of the assembled element
t: Plate thickness
Rnt: Characteristic tensile strength
Rnv: Characteristic shear strength
Ubs: 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.

Leh ≥ Le-min     

smin ≥ 3d       

AISC 360-16 J3.

4

3

 

 

Leh

40 mm

Leh ≥ 2d = 2 * 20 = 40 mm conformity check for application

Le-min

26 mm

Minimum distance check according to AISC 360-16 Table J3.4

...

s

79.5 mm

 

 

d

20 mm

s =79.5 mm > smin = 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 ≥ Le-min     

AISC 360-16 J3.4

 

 

L

ev

eh

40 mm

Leh ≥ 2d = 2 * 20 = 40 mm conformity check for application

Le-min

26 mm

Minimum distance check according to AISC 360-16 Table J3.4

Weld Size

...

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 Table J2.4

w ≥ wmin     

Lev ≥ Le-min     

AISC 360-16

Table J2

J3.4

 

 

w

12.73 mm

 

wmin

5 mm

Lev

40 mm

Leh ≥ 2d = 2 * 20 = 40 mm conformity check for application

Le-min

26 mm

Minimum distance check according to AISC 360-16 Table

J2

J3.4

Erection Stability

L≥ hb/2

Weld Size

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

w ≥ wmin     

AISC 360-16 Table J2.4

 

 

w

12.73 mm

 

wmin

5 mm

AISC 360-16 Table J2.4

Erection Stability

L≥ hb/2

 

 

L

239 mm

 

 

hb

248.6 mm

L=239 > 248.6/2=124.3 mm

Strength Checks

Bolt Shear at Beam

...

Required

Available

Check

Result

34,318 kN

56,549 kN

0.607

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.

...

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.

...

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.

...

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.

...

Required

Available

Check

Result

68,159 kN

176.213 kN

0.387

Plate 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.

...

Required

Available

Check

Result

68,159 kN

218.143 kN

0.312

Plate Block Shear Rupture

...

Ag

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

 

Anv

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

 

Ant

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

 

Fy

235.359 N/mm2

 

Fu

362.846 N/mm2

 

Ubs

1.0

 

 

Mathinline
body--uriencoded--\normalsize U_%7Bbs%7D F_u A_%7Bnt%7D = 1 \times 362.846 \times 336 \times 10%5e%7B-3%7D = 121.916 \; \; \mathrm%7BkN%7D

Mathinline
body--uriencoded--\normalsize 0.6 F_%7Bu%7D A_%7Bnv%7D = 0.6 \times 362.846 \times 1668 \times 10%5e%7B-3%7D = 363.136 \; \; \mathrm%7BkN%7D.136 \; \; \mathrm%7BkN%7D

Mathinline
body--uriencoded--\normalsize 0.6 F_%7By%7D A_%7Bg%7D = 0.6 \times 235.359 \times 2338 \times 10%5e%7B-3%7D = 337.222 \; \; \mathrm%7BkN%7D

 

Rn

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 0.6F_uA_%7Bnv%7D \\0.6F_yA_%7Bg%7D \end%7Bmatrix%7D\right] \end%7Baligned%7D + U_%7Bbs%7DF_uA_%7Bnt%7D

Mathinline
body--uriencoded--\normalsize R_%7Bn%7D =337.222+121.916=459.18 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Rn / Ω

Mathinline
body--uriencoded--\normalsize R_n/ \Omega = 459.18 /2 =229.569\; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

229.569 kN

0.297

Plate Flexural Buckling

Single plate material slenderness check.

Fy

235.359 N/mm2

 

t

12 mm

Material thickness 

a

60 mm

Distance from the support to the first bolt

L

239 mm

Length of material

λ

Mathinline
body--uriencoded--\normalsize

0.6 F_%7By%7D A_%7Bg%7D = 0.6 \times 235.359 \times 2338 \times 10%5e%7B-3%7D = 337.222 \; \; \mathrm%7BkN%7D

 

Rn

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 0.6F_uA_%7Bnv%7D \\0.6F_yA_%7Bg%7D \end%7Bmatrix%7D\right] \end%7Baligned%7D + U_%7Bbs%7DF_uA_%7Bnt%7D

Mathinline
body--uriencoded--\normalsize R_%7Bn%7D =337.222+121.916=459.18 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Rn / Ω

\lambda = \dfrac%7B0.381L \sqrt%7BF_y%7D%7D %7Bt \sqrt%7B47500+2800 \big( \frac%7BL%7D%7Ba%7D \big)%5e2%7D %7D = \dfrac%7B0.381 \times239 \sqrt%7B235.36%7D%7D %7B12 \sqrt%7B47500+2800 \big( \frac%7B239%7D%7B60%7D \big)%5e2%7D %7D = 0.17

 

Required

Available

Check

≤0.70

0.17

Plate Flexural Yield

Single plate material flexural yielding check.

dp

239 mm

 Length of material

Fy

235.359 N/mm2

 

tp

12 mm

 Material thickness 

a

60 mm

Distance from the support to the first bolt

Rn

Mathinline
body--uriencoded--\normalsize

R_n/ \Omega = 459.18 /2 =229.569\; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

229.569 kN

0.297

Plate Flexural Buckling

Single plate slenderness check.

Fy

235.359 N/mm2

 

t

12 mm

Material thickness 

a

60 mm

 Distance from the support to the first bolt

L

239 mm

Length of material

λ

R_n = \dfrac%7BF_yd_pt_p%7D %7Bt \sqrt%7B2.25+16\Big( \dfrac%7Ba%7D%7Bd_p%7D \Big)%5e2%7D %7D

Mathinline
body--uriencoded--\normalsize R_n= \dfrac%7B235.359 \times239 \times 12 \times 10%5e%7B-3%7D%7D %7B\sqrt%7B2.25+16 \Big( \dfrac%7B60%7D%7B239%7D \Big)%5e2%7D %7D = 373.946\; \; \mathrm%7BkN%7D

 

Rn / Ω

Mathinline
body--uriencoded--\normalsize R_n/ \

lambda

Omega =

\dfrac%7B0.381L \sqrt%7BF_y%7D%7D %7Bt \sqrt%7B47500+2800 \big( \frac%7BL%7D%7Ba%7D \big)%5e2%7D %7D = \dfrac%7B0.381 \times239 \sqrt%7B235.36%7D%7D %7B12 \sqrt%7B47500+2800 \big( \frac%7B239%7D%7B60%7D \big)%5e2%7D %7D = 0.17

373.946 /1.67 =223.92\; \; \mathrm%7BkN%7D

 

Required

Available

Check

≤0.70

Result

68,159 kN

223.92 kN

0.

17

304

Plate Flexural Yield

...

dp

...

239 mm

...

 

...

Fy

...

Weld Strength at Support

w

12.73 mm

Weld leg size

FE

480 N/mm2

 

tp

12 mm

 

a

Weld material tensile strength

l

239 mm

 Weld length

e

60 mm

 

 Eccentricity

Rn

Image Removed

w

12.73 mm

 

FE

480 N/mm2

 

l

239 mm

 

e

60 mm

 

Rn

Image Removed

 

Rn / Ω

Image Removed

Mathinline

 

Rn / Ω

Image Removed

 

Required

Available

Check

Result

68,159 kN

223.92 kN

0.304

Weld Strength at Support

body--uriencoded--\normalsize R_n = \dfrac%7B wlF_E %7D %7B\sqrt%7B2.25+12\Big( \dfrac%7Be%7D%7Bl%7D \Big)%5e2%7D %7D

Mathinline
body--uriencoded--\normalsize R_n = \dfrac%7B 12.73 \times239 \times 480 \times 10%5e%7B-3%7D %7D %7B\sqrt%7B2.25+12\Big( \dfrac%7B60%7D%7B239%7D \Big)%5e2%7D %7D =842.272 \; \; \mathrm%7BkN%7D

 

Rn / Ω

Mathinline
body--uriencoded--\normalsize R_n/ \Omega = 842.272 /2 =421.131 \; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

421.131 kN

0.162

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