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How does ideCAD design single plate connection according to 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

√

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.

Lev ≥ Le-min     

AISC 360-16 J3.4

 

 

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

 

 

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.

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-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 \times R_%7Bn,edge%7D + n_s \times 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.

...

Required

Available

Check

Result

68,159 kN

284,75 kN

0.239

√

Plate Shear Yield

...

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.

...

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 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.

...

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

Mathinline
body--uriencoded--\normalsize 0.6 F_%7By%7D A_%7Bg%7D = 0.6 \times 235.359 \times 2338 2388 \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.

...

Required

Available

Check

≤0.70

0.17

√

Plate Flexural Yield

Single plate material flexural yielding check.

...

Required

Available

Check

Result

68,159 kN

223.92 kN

0.304

√

Weld Strength at Support

w

12.73 mm

Weld leg size

FE

480 N/mm2

Weld material tensile strength

l

239 mm

 Weld length

e

60 mm

 Eccentricity

Rn

Mathinline
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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