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Connection Geometry

...

Geometry Checks

Bolt Spacing

The distance between the centers of bolts is checked per AISC 360-16.

...

smin ≥ 3d       

...

AISC 360-16 J3.3

...

 

...

 

...

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 horizontal direction is checked per AISC 360-16.

...

Leh ≥ Le-min     

...

AISC 360-16 J3.4

...

 

...

 

...

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

...

...

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?

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

Symbols

...

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.

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

...

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
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
Lc: The clear distance between bolt holes
Le: The distance from the center of the bolt hole to the edge of the assembled element
Leh: The horizontal distance from the center of the bolt hole to the edge of the assembled element
Lev: The vertical distance from the center of the bolt hole to the edge of the assembled element
t: Plate thickness
Rn: Characteristic strength
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.

smin ≥ 3d       

AISC 360-16 J3.3

 

 

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

...

Vertical Edge Distance

The minimum size of fillet welds is checked according to 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

AISC 360-16 Table J2.4

Erection Stability

L≥ hb/2

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 J3.4

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

 

 

L

w

239

12.73 mm

 

 

hb

248.6 mm

L

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

  • 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.

...

Required

Available

Check

Result

34,318 kN

56,549 kN

0.607

Bolt Bearing on Beam

Bearing The bearing strength limit states of the plate that , which are “shear tear out” and “ovalization of bolt hole” for both end and inner bolts, are checked according to AISC 360-16.

dh

20+2=22 mm

 

Lc,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

 

Rn

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

Rn-

end%7Baligned%7D

AISC 360-16 J3-6a

Rn-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

 

Lc,spacing

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

 

Rn-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-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

 

Rn

Mathinline
body--uriencoded--\normalsize R_%7Bn%7D = n_e R_%7Bn,edge%7D + n_s R_%7Bn,spacing%7D
Mathinline
body--uriencoded--\normalsize R_%7Bn%7D = 1 \times 123.658 + 2 \times 123.658 = 370.974 \; \mathrm%7BkN%7D
 

 

Rn / Ω

Mathinline
body--uriencoded--\normalsize R_n/ \Omega = 370.974 /2 = 185.487 \; \; \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.

dh

20+2=22 mm

 

Lc,edge

Mathinline
body--uriencoded--

\begin%7Baligned%7D

\normalsize

R

L_

%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

 

Lc,spacing

%7Bc,edge%7D = L_e - 0.5d_h

Mathinline
body--uriencoded--\normalsize L_%7Bc,edge%7D = 40 -0.5 \times 22 = 29 \; \; \mathrm%7Bmm%7D

 

Rn

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize

L

R_

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

 

Rn-spacing

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

Rn-edge

Mathinline
body--uriencoded--\begin%7Baligned%7D\normalsize R_%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1.2 (

57.5

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

 

Rn

Lc,spacing

Mathinline
body--uriencoded--\normalsize

R

L_

%7Bn%7D = n_e \times R_%7Bn,edge%7D + n_s \times R_%7Bn,spacing%7D

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

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D\normalsize R_%7Bn%7D=\mathrm%7Bmin%7D\left[\begin%7Bmatrix%7D 1

\times 123.658 + 2 \times 123.658 = 370.974

.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

 

 

Rn

/ Ω

Mathinline
body--uriencoded--\normalsize R_%7Bn%7D = n

/ \Omega = 370.974 /2 = 185.487 \; \; \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.

dh

20+2=22 mm

 

Lc,edge

_e \times R_%7Bn,edge%7D + n_s \times R_%7Bn,spacing%7D

Mathinline
body--uriencoded--\normalsize R_%7Bn%7D = 1 \times 151.525 + 2 \times 208.99 = 569.505 \; \mathrm%7BkN%7D

 

Rn

Mathinline
body--uriencoded--\normalsize

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

Mathinline
body--uriencoded--\normalsize L_%7Bc,edge%7D = 40 -0.5 \times 22 = 29 \; \; \mathrm%7Bmm%7D

 

Rn

R_n/ \Omega = 569.505 /2 =284.75 \; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

284,75 kN

0.239

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.

Ag

Mathinline
body--uriencoded--

\begin%7Baligned%7D

\normalsize

R

A_

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

Rn-edge

%7Bg%7D = L_pt_p = 239 \times 12 = 2868 \; \; \mathrm%7Bmm%5e2%7D

 

Fy

235.359 N/mm2

 

Rn

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 \; \mathrm%7BkN%7D

 

Lc,spacing

n = 0.6F_%7By%7D A_g
Mathinline
body--uriencoded--\normalsize R_n = 0.6 \times 235.359 \times2868 \times 10%5e%7B-3%7D = 405 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Rn

Mathinline
body--uriencoded--\normalsize

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

 

Rn-spacing

R_n/ \Omega = 405 /1.5 =270 \; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

270 kN

0.252

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.

Anv

Mathinline
body--uriencoded--

\begin%7Baligned%7D\normalsize R_%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

\normalsize A_%7Bnv%7D = t_p(d_b-n_bd_e) = 7.1 \times (300-3 \times 24) = 1618.8 \; \; \mathrm%7Bmm%5e2%7D

 

Fu

362.846 N/mm2

 

Rn

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

Rn / 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

nv

Mathinline
body--uriencoded--\normalsize A_

%7Bg%7D = L_pt_p = 239 \times 12 = 2868

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

 

F

y

u

235

362.

359

846 N/mm2

 

Rn

Mathinline
body--uriencoded--\normalsize R_n = 0.6F_

%7By%7D

%7Bu%7D A_

g

%7Bnv%7D

Mathinline
body--uriencoded--\normalsize R_n = 0.6 \times

235

362.

359

846 \

times2868

times 2004 \times 10%5e%7B-3%7D =

405

436.286 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Rn / Ω

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

405 /1.5 =270

436.286 /2 =218.143\; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

270

218.143 kN

0.

252

312

...

Plate Block Shear Rupture

In the case of the The block shear limit state , the net area rupture of the tensile plane of the connection part is 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.-16.

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 =

t_p(d_b-n_bd_e) = 7.1 \times (300-3

((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) =

1618.8

336 \; \; \mathrm%7Bmm%5e2%7D

 

Fy

235.359 N/mm2

 

Fu

362.846 N/mm2

 

Ubs

1.0

 

Rn

 

Mathinline
body--uriencoded--\normalsize

R_n = 0.6F_%7Bu%7D A_%7Bnv%7D Mathinlinebody--uriencoded--\normalsize R_n = 0.6

U_%7Bbs%7D F_u A_%7Bnt%7D = 1 \times 362.846 \times

1618.8

336 \times 10%5e%7B-3%7D =

352

121.

425

Rn / Ω

916 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Mathinline
body--uriencoded--\normalsize

R_n/ \Omega = 352.425 /2 =176.213 \; \; \mathrm%7BkN%7D

 

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.

Anv

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

Mathinline
body--uriencoded--\normalsize 0.6 F_%7By%7D A_

%7Bnv%7D = t_p(d_b-n_bd_e) = 12 \times (239-3 \times 24) = 2004

%7Bg%7D = 0.6 \times 235.359 \times 2388 \times 10%5e%7B-3%7D = 337.222 \; \; \

mathrm%7Bmm%5e2%7D

 

Fu

362.846 N/mm2

mathrm%7BkN%7D

 

Rn

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 0.6F_

%7Bu%7D A_%7Bnv%7D

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_

n

%7Bn%7D =

0.6 \times 362.846 \times 2004 \times 10%5e%7B-3%7D = 436.286

337.222+121.916=459.18 \; \; \mathrm%7BkN%7D

AISC 360-16 J4-3

Rn / Ω

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

436

459.

286

18 /2 =

218

229.

143

569\; \; \mathrm%7BkN%7D

 

Required

Available

Check

Result

68,159 kN

218.143 kN

0.312

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.

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

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

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

 

\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.

Fy

235.359 N/mm2

 

t

12 mm

 

a

60 mm

 

L

239 mm

 

λ

Image Removed

dp

239 mm

 Length of material

Fy

235.359 N/mm2

 

Fu

362.846 N/mm2

 

Ubs

1.0

 

 

Image Removed

 

Rn

Image Removed

AISC 360-16 J4-3

Rn / Ω

Image Removed

 

Required

Available

Check

Result

68,159 kN

229.569 kN

0.297

Plate Flexural Buckling

tp

12 mm

 Material thickness 

a

60 mm

Distance from the support to the first bolt

Rn

Mathinline
body--uriencoded--\normalsize 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/ \Omega = 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

 

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68,159 kN

421.131 kN

0.162

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