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How does ideCAD design four bolts stiffened end plate connection according to AISC 360358-16 & AISC 358360-16?

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Tip
  • Four bolts stiffened end plate connection is designed automatically according to the AISC 358-16 and AISC 360-16 by the ideCAD Structural.

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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
bbf = width of beam flange, in. (mm)
bp = width of end-plate, in. (mm)
d = depth of connecting beam, in. (mm)
g = horizontal distance between bolts, in. (mm)
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
pb = vertical distance between the inner and outer row of bolts in an eight-bolt stiffened connection, in. (mm)
pfi = vertical distance from the inside of a beam tension flange to the nearest inside bolt row, in. (mm)
pfo = vertical distance from the outside of a beam tension flange to the nearest outside bolt row, in. (mm)
tbf = thickness of beam flange, in. (mm)
tp = thickness of end-plate, in. (mm)
Rn: Characteristic strength
Rnt: Characteristic tensile strength
Rnv: Characteristic shear strength

...

Connection Geometry

...

GEOMETRY CHECKS

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 ≥ L e-min     

AISC 360-16 J3.4

 

 

Leh

72 mm

Leh ≥ 2d = 2 * 30 = 60 mm conformity check for application

Le-min

46 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.

Lev ≥ L e-min     

AISC 360-16 J3.4

 

 

Lev

72 mm

Lev ≥ 2d = 2 * 30 = 60 mm conformity check for application

Le-min

46 mm

Minimum distance check according to Table J3.4

Beam Web to End Plate Weld Size

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

w ≥ wmin     

 AISC 360-16

 

 

w

7.072 mm

 

wmin

5 mm

Table J2.4

Stiffener to Beam Flange Weld Size

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

w ≥ wmin     

 AISC 360-16

 

 

w

7.072 mm

 

wmin

5 mm

Table J2.4

Stiffener to End Plate Weld Size

The minimum size welds are checked according to AISC 360-16 Table J2.4

w ≥ wmin     

 AISC 360-16

 

 

w

7.072 mm

 

wmin

5 mm

Table J2.4

Continuity Plate to Column Flange Weld Size

The minimum size welds are checked according to AISC 360-16 Table J2.4

w ≥ wmin     

 AISC 360-16

 

 

w

11.315 mm

 

wmin

6 mm

Table J2.4

Continuity Plate to Column Web Weld Size

The minimum size welds are checked according to AISC 360-16 Table J2.4

w ≥ wmin     

 AISC 360-16

 

 

w

11.315 mm

 

wmin

6 mm

Table J2.4

Prequalification Limits (AISC 358-16 Table 6.1)

All end-plate moment connection configurations should satisfy these beam and column limitations. Beam and column limitations are given in AISC 358-16 Table 6.1.

Beam span / Beam cross-section height

9144 mm /450 mm=20.32

≥7.0

End plate thickness, tp

32 mm

13≤tp ≤38

End plate width, bp

290 mm

178≤ bp ≤ 273

Horizontal distance between bolts, g

150 mm

83≤g≤152

pfi

60 mm

44≤pfi ≤140

pfo

60 mm

44≤pfo ≤140

Beam depth, db

450 mm

349≤db≤610

Beam flange thickness, tbf

15 mm

10≤tbf ≤19

Beam flange width, bbf

190

152≤bbf ≤229

Column depth

650

≤ 920 mm

Bolt grade

10.9

8.8 - 10.9

Min yield stress of the end plate material

275 MPa

235 /275 / 355 MPa

Flange plate weld

CJP

CJP

STRENGTH CHECKS

...

Bolt diameter

The required bolt diameter, db, for four bolts stiffened end plate connection is checked according to AISC 358-16 §6.8

Muc

821.813 kNm

AISC 358-16 (6.8-3)

Ft

750000 kN/m2

 

ho

Image Removed

Mathinline
body--uriencoded--$$ \normalsize h_o = d - \frac %7Bt_%7Bfo%7D%7D%7B2%7D + p_%7Bfo%7D = 450 - \frac %7B15%7D%7B2%7D + 72 = 514.5\; \mathrm%7Bmm%7D $$

 

h1

Image Removed

Mathinline

 

db

Image Removed

 

Required

Available

Ratio

Control

29.825 mm

36 mm

0.829

End Plate Thickness

The required end plate thickness, tb, for four bolts stiffened end plate connection is checked according to AISC 358-16 §6.8

...

Muc

...

821.813kNm

...

AISC 358-16 (6.8-5)

...

Fyp

...

275000 kN/m2

...

 

...

s

...

 

...

Yp

...

 

...

Yp

...

 

...

tp

...

 

...

Required

...

Available

...

Ratio

...

Control

...

27.327 mm

...

30 mm

...

0.911

...

End Plate Stiffener Thickness

...

body--uriencoded--$$ \normalsize h_1 = d - 1.5 t_%7Bfo%7D - p_%7Bfi%7D = 450 - 1.5 \times 15 -72 = 355.5\; \mathrm%7Bmm%7D $$

 

db

Mathinline
body--uriencoded--$$ \normalsize d_b \geq \sqrt%7B \dfrac %7B 2 M_%7Buc%7D%7D %7B\varphi \pi F_t(h_o + h_1)%7D %7D $$

Mathinline
body--uriencoded--$$ \normalsize d_b \geq \sqrt%7B \dfrac %7B 2 \times 821.813 \times 10%5e6%7D %7B0.90 \times \pi \times 750 \times (514.5 + 355.5)%7D %7D =29.825 \; \; \mathrm%7Bmm%7D $$

 

Required

Available

Ratio

Control

29.825 mm

36 mm

0.829

End Plate Thickness

The required end plate thickness, tp, for four bolts stiffened end plate connection is checked according to AISC 358-16 §6.8

tbw

9 mm

Muc

821.813kNm

AISC 358-16 (6.8-

9

5)

F

yb

yp

275000 kN/m2

 

Fys

275000 kN/m2

 

ts

12 mm

 

 

Image Removed

 

 

Image Removed

 

Required

Available

Ratio

Control

9 mm

12 mm

0.750

End Plate Stiffener Local Buckling

...

hs

...

144 mm

...

AISC 358-16 (6.8-10)

...

ts

...

12 mm

...

 

...

E

...

200000000 kN/m2

...

 

...

Fys

...

275000 kN/m2

...

 

...

 

...

 

...

 

...

 

...

Required

...

Available

...

Ratio

...

Control

...

12

...

15.102

...

0.795

...

Stiffener to Beam Flange Weld Size

...

Fys

...

275000 kN/m2

...

AISC DG 4-2 nd

3.2.10

...

ts

...

12 mm

...

 

...

Fe

...

490000 kN/m2

...

 

...

w

...

 

...

Required

...

Available

...

Ratio

...

Control

...

6.35

...

7.072

...

0.898

...

Stiffener to End Plate Weld Size

...

s

Mathinline
body--uriencoded--$$ \normalsize s = \dfrac%7B1%7D%7B2%7D \sqrt%7B b_p g%7D = \dfrac%7B1%7D%7B2%7D \sqrt%7B 298 \times 154%7D = 107.112\; \mathrm%7Bmm%7D $$

 

Yp

Mathinline
body--uriencoded--$$ \small Y_p = \dfrac%7Bb_p%7D%7B2%7D \left [ h_1 \left ( \dfrac%7B1%7D%7Bp_%7Bfi%7D%7D + \dfrac%7B1%7D%7Bs%7D \right ) + h_0 \left ( \dfrac%7B1%7D%7Bp_%7Bfo%7D%7D + \dfrac%7B1%7D%7B2s%7D \right ) \right ] + \dfrac%7B2%7D%7Bg%7D \left [ h_1 \left ( p_%7Bfi%7D +s \right ) + h_o \left ( d_%7Be%7D + p_%7Bfo%7D \right ) \right ] $$

 

Yp

Mathinline
body--uriencoded--$$ \normalsize Y_p = \dfrac%7B298%7D%7B2%7D \left [ 355.5 \left ( \dfrac%7B1%7D%7B72%7D + \dfrac%7B1%7D%7B107.112%7D \right ) + 514.5 \left ( \dfrac%7B1%7D%7B72%7D + \dfrac%7B1%7D%7B2 \times 107.112 %7D \right ) \right ] $$
Mathinline
body--uriencoded--$$ \normalsize + \dfrac%7B2%7D%7B154%7D \left [ 355.5 \left ( 72 + 107.112 \right ) + 514.5 \left ( 72 + 72 \right ) \right ] =4441.914 \; \mathrm%7Bmm%7D $$

 

tp

Mathinline
body--uriencoded--$$ \normalsize t_p \geq \sqrt%7B \dfrac %7B 1.11 M_%7Buc%7D%7D %7B\varphi F_%7Byc%7DY_p%7D %7D = \sqrt%7B \dfrac %7B 1.11 \times 821.813\times 10%5e%7B6%7D%7D %7B 1 \times 275 \times 4441.914%7D %7D = 27.327 \; \mathrm%7Bmm%7D $$

 

Required

Available

Ratio

Control

27.327 mm

30 mm

0.911

End Plate Stiffener Thickness

The required stiffener thickness, tb, for four bolts stiffened end plate connection is checked .

...

Fys

...

275000 kN/m2

...

AISC DG 4-2 nd

3.2.10

...

ts

...

according to AISC 358-16 §6.8

tbw

9 mm

AISC 358-16 (6.8-9)

Fyb

275000 kN/m2

 

F

e

ys

490000

275000 kN/m2

 

w

ts

Image Removed

12 mm

 

Required

 

Available

Ab

Image Removed

AISC 358-16 6.8.11

Fn

Image Removed

Rn

Image Removed

ΦRn

Image Removed

Mathinline

Ratio

Control

6.35

7.072

0.898

Bolt Shear Check

The shear limit state of end plate bolts is checked according to AISC 360-16.

body--uriencoded--$$ \normalsize t_s \geq t_%7Bbw%7D \dfrac %7B F_%7Byb%7D%7D %7BF_%7Bys%7D%7D $$

 

 

Mathinline
body--uriencoded--$$ \normalsize 12 \; \mathrm%7Bmm%7D \geq 9 \times \dfrac %7B 275000%7D %7B275000%7D =9 \; \mathrm%7Bmm%7D $$

 

Required

Available

Ratio

Control

271.371 kN

1648.959 kN

9 mm

12 mm

0.

165

750

...

End Plate

...

Stiffener Local Buckling

Stiffener local buckling limit statefor four bolts stiffened end plate connection is checked according to AISC 360358-16 §6.8

d

Lc,edge

Image Removed

 

Rn

Image Removed

hs

36+3=39 mm

 

144 mm

AISC 358-16 (6.8-

12

Rn-edge

Image Removed

10)

ts

12 mm

 

Lc,spacing

Image Removed

E

200000000 kN/m2

 

Rn-spacing

Image Removed

Fys

275000 kN/m2

 

Rn

 

Image Removed

Mathinline

 

ΦRn

Image Removed

body--uriencoded--$$ \normalsize \dfrac %7B h_%7Bs%7D%7D %7Bt_%7Bs%7D%7D \leq 0.56 \sqrt %7B \dfrac %7BE%7D%7BF_%7Bys%7D%7D %7D $$

 

 

Required

db

36 mm

 

Rn

Image Removed

AISC 358-16 6.8-12

Rn-edge

Image Removed

 

Lc,spacing

Image Removed

 

Rn-spacing

Image Removed

 

Rn

Image Removed

 

ΦRn

Image Removed

Mathinline

Available

Ratio

Control

271.371 kN

3307.716 kN

0.082

Bolt Bearing on Column Flange

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.

body--uriencoded--$$ \normalsize \dfrac %7B 144%7D %7B12%7D = 12 \leq 0.56 \sqrt %7B \dfrac %7B20000000%7D%7B275000%7D %7D =15.102 $$

 

Required

Available

Ratio

Control

12

15.102

0.795

Stiffener to Beam Flange Weld Size

The required end weld sizefor four bolts stiffened end plate connection is checked.

Fys

275000 kN/m2

AISC DG 4-2 nd

3.2.10

ts

12 mm

 

Fe

490000 kN/m2

 

w

Mathinline
body--uriencoded--$$ \normalsize w \geq \dfrac %7B \varphi_v 0.6 F_%7Bys%7D t_%7Bs%7D%7D %7B2 \varphi 0.6 F_e 0.707%7D%7D $$

Mathinline
body--uriencoded--$$ \normalsize = \dfrac %7B 1 \times 0.6 \times 275 \times 10%5e%7B-3%7D \times 12%7D %7B2 \times 0.75 \times 0.6 \times 490 \times 10%5e%7B-3%7D \times 0.707%7D%7D = 6.35 \; \; \mathrm%7Bmm%7D $$

 

Required

Available

Ratio

Control

271.371 kN

3953.318 kN

0.069

Beam Web to End Plate Weld Size

...

Fyp

...

275000 kN/m2

...

AISC 358-16

(6.7.6) 3

...

tbw

...

9 mm

...

 

...

F e

...

490000 kN/m2

...

 

...

w

...

 

...

Required

...

Available

...

Ratio

...

Control

...

4.763 mm

...

7.072 mm

...

0.673

...

Column Flange Thickness

The required column flange thickness, tcf, for four bolts unstiffened end plate connection is checked according to AISC 358-16 §6.8

Muc

821.813 kNm

AISC 358-16 (6.8-13)

Fyp

275000 kN/m2

 

s

Image Removed

 

c

Image Removed

 

Yc

Image Removed

 

Yc

Image Removed

 

tcf

Image Removed

6.35

7.072

0.898

Stiffener to End Plate Weld Size

The required end weld sizefor four bolts stiffened end plate connection is checked.

Fys

275000 kN/m2

AISC DG 4-2 nd

3.2.10

ts

12 mm

 

Fe

490000 kN/m2

 

w

Mathinline
body--uriencoded--$$ \normalsize w \geq \dfrac %7B \varphi_t F_%7Bys%7D t_%7Bs%7D%7D %7B2 \times \varphi \times 0.6 F_e \times 1.5 \times 0.707%7D%7D $$

Mathinline
body--uriencoded--$$ \normalsize = \dfrac %7B 0.9 \times 275 \times 10%5e%7B-3%7D \times 12%7D %7B2 \times 0.75 \times 0.6 \times 490 \times 10%5e%7B-3%7D \times 1.5 \times 0.707%7D%7D = 6.35 \; \; \mathrm%7Bmm%7D $$

 

Required

Available

Ratio

Control

6.35

7.072

0.898

Bolt Shear Check

The shear limit state of end plate bolts is checked according to AISC 360-16.

Ab

Mathinline
body--uriencoded--$$ \normalsize A_%7Bb%7D = \dfrac %7B \pi d%5e2%7D%7B4%7D = \dfrac %7B \pi 36%5e2%7D%7B4%7D =1017.876 \; \mathrm%7Bmm%5e2%7D $$

AISC 358-16 6.8.11

Fn

Mathinline
body--uriencoded--$$ \normalsize F_n = 0.450F_%7Bub%7D = 0.450 \times 1000 = 450 \; \mathrm%7BN/mm%5e2%7D $$

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = F_%7Bn%7DA_b = 4 \times 450 \times 1017.876 \times 10%5e%7B-3%7D = 1832.177 \; \; \mathrm%7BkN%7D $$

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.9 \times 1832.177 = 1648.959 \; \; \mathrm%7BkN%7D $$

Required

Available

Ratio

Control

271.371 kN

1648.959 kN

0.165

Bolt Bearing on End 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

36+3=39 mm

 

Lc,edge

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,edge%7D = L_e - 0.5d_h = 72 - 0.5 \times 39 = 52.5 \; \mathrm%7Bmm%7D$$

 

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 358-16 6.8-12

Rn-edge

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(52.5)(30)(410 \times 10%5e%7B-3%7D) \\2.4(36)(30)(410 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =774.9 \; \; \mathrm%7BkN%7D

 

Lc,spacing

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,spacing%7D = 72 + 72 + 15 - 39 = 120 \; \mathrm%7Bmm%7D $$

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(120)(30)(410 \times 10%5e%7B-3%7D) \\2.4(36)(30)(410 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =1062.72\; \mathrm%7BkN%7D

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = n_e R_%7Bn-edge%7D + n_s R_%7Bn-spacing%7D $$
Mathinline
body--uriencoded--$$ \normalsize R_n = 2 \times 774.9 + 2 \times 1062.72 = 3675.24 \; \; \mathrm%7BkN%7D $$

 

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.9 \times 3675.24 = 3307.716 \; \; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

271.371 kN

3307.716 kN

0.082

Bolt Bearing on Column Flange

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.

db

36 mm

 

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 358-16 6.8-12

Rn-edge

Mathinline
body--uriencoded--$$ \normalsize R_n = [ 2.4 (36) (31) (410 \times 10%5e%7B-3%7D ) ] = 1098.144\; \mathrm%7BkN%7D $$

 

Lc,spacing

Mathinline
body--uriencoded--$$ \normalsize L_%7Bc,spacing%7D = 72+ 72 +15 - 39 = 120 \; \mathrm%7Bmm%7D$$

 

Rn-spacing

Mathinline
body--uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(120)(31)(410 \times 10%5e%7B-3%7D) \\2.4(36)(31)(410 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D = 1098.144\; \mathrm%7BkN%7D

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = n_e R_%7Bn-edge%7D + n_s R_%7Bn-spacing%7D $$

Mathinline
body--uriencoded--$$ \normalsize R_n = 2 \times 1098.144 + 2 \times 1098.144 = 4392.576 \; \; \mathrm%7BkN%7D $$

 

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 0.9 \times 4392.576 = 3953.318 \; \; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

271.371 kN

3953.318 kN

0.069

Beam Web to End Plate Weld Size

The required end weld sizefor four bolts stiffened end plate connection is checked according to AISC 358-16 §6.7

Fyp

275000 kN/m2

AISC 358-16

(6.7.6) 3

tbw

9 mm

 

F e

490000 kN/m2

 

w

Mathinline
body--uriencoded--$$ \normalsize w \geq \dfrac %7B \varphi_t F_%7Byb%7D t_%7Bbw%7D%7D %7B2 \times \varphi \times 0.6 F_e \times 1.5 \times 0.707%7D%7D $$

Mathinline
body--uriencoded--$$ \normalsize = \dfrac %7B 0.9 \times 275 \times 9%7D %7B2 \times 0.75 \times 0.6 \times 490 \times 1.5 \times 0.707%7D%7D = 4.763 \; \; \mathrm%7Bmm%7D $$

 

Required

Available

Ratio

Control

4.763 mm

7.072 mm

0.673

Column Flange Thickness

The required column flange thickness, tcf, for four bolts unstiffened end plate connection is checked according to AISC 358-16 §6.8

Muc

821.813 kNm

AISC 358-16 (6.8-13)

Fyp

275 N/mm2

 

s

Mathinline
body--uriencoded--$$ \normalsize s = \dfrac%7B1%7D%7B2%7D \sqrt%7B b_f g%7D = \dfrac%7B1%7D%7B2%7D \sqrt%7B 300 \times 154%7D = 107.471\; \mathrm%7Bmm%7D $$

 

c

Mathinline
body--uriencoded--$$ \normalsize c = p_%7Bfo%7D + t_%7Bfo%7D + p_%7Bfi%7D = 72 + 16 + 72 = 160\; \mathrm%7Bmm%7D $$

 

Yc

Mathinline
body--uriencoded--$$ \small Y_c = \dfrac%7Bb_f%7D%7B2%7D \left [ h_1 \left ( \dfrac%7B1%7D%7Bs%7D \right ) + h_0 \left ( \dfrac%7B1%7D%7Bs%7D \right ) \right ] + \dfrac%7B2%7D%7Bg%7D \left [ h_1 \left ( s + \dfrac%7B3c%7D%7B4%7D \right ) + h_0 \left ( s + \dfrac%7Bc%7D%7B4%7D \right ) + \dfrac%7Bc%5e2%7D%7B2%7D \right ] + \dfrac%7Bg%7D%7B2%7D $$

 

Yc

Mathinline
body--uriencoded--$$ \normalsize Y_c = \dfrac%7B300%7D%7B2%7D \left [ 355.5 \left ( \dfrac%7B1%7D%7B107.471%7D \right ) + 514.5 \left ( \dfrac%7B1%7D%7B107.471%7D \right ) \right ] $$
Mathinline
body--uriencoded--$$ \normalsize + \dfrac%7B2%7D%7B154%7D \left [ 355.5 \left ( 107.471 + \dfrac%7B3 \times 160 %7D%7B4%7D \right ) + 514.5 \left ( 107.471 + \dfrac%7B160%7D%7B4%7D \right ) $$
Mathinline
body--uriencoded--$$ \normalsize + \dfrac%7B160%5e2%7D%7B2%7D \right ] + \dfrac%7B154%7D%7B2%7D =5054.57 \; \mathrm%7Bmm%7D $$

 

tcf

Mathinline
body--uriencoded--$$ \normalsize t_%7Bcf%7D \geq \sqrt%7B \dfrac %7B 1.11 M_%7Buc%7D%7D %7B\varphi F_%7Byc%7DY_c%7D %7D = \sqrt%7B \dfrac %7B 1.11 \times 821.813 \times 10%5e%7B6%7D %7D %7B 1 \times 275 \times 5054.57%7D %7D = 25.618\; \mathrm%7Bmm%7D $$

Required

Available

Ratio

Control

25.618 mm

31 mm

0.826

Column Panel Zone Shear

Yielding of the column panel zonefor four bolts unstiffened end plate connection is checked according to AISC 360-16 §J.10

Pr

355.597 kN

AISC 360-16 J10-9

Py

Image Removed

y

Mathinline
body--uriencoded--\normalsize P_%7By%7D = F_y A_g = 275 \times 10%5e%7B-3%7D \times 28634.759 = 7874.559 \; \; \mathrm%7BkN%7D

 

Fy

275000 kN/m2

 

Ag

28634.759 mm2

 

dc

650 mm

 

tw

16 mm

 

Rn

Image Removed

 

ΦRn

Image Removed

759 mm2

 

dc

650 mm

 

tw

16 mm

 

Rn

Mathinline
body--uriencoded--$$ \normalsize R_n = 0.6F_%7By%7Dd_ct_w = 0.6 \times 275 \times 10%5e%7B-3%7D \times 650 \times 16 = 1716 \; \; \mathrm%7BkN%7D $$

 

ΦRn

Mathinline
body--uriencoded--$$ \normalsize \varphi R_n = 1 \times 1716 = 1716 \; \; \mathrm%7BkN%7D $$

 

Required

Available

Ratio

Control

1673.526 kN

1716 kN

0.975

Panel Zone Thickness

The required panel zone thickness for four bolts unstiffened end plate connection is checked according to AISC 358-16.

tmin≥u/180

Image Removed

Mathinline
body--uriencoded--$$ \normalsize t_%7Bmin%7D = 16 \geq 2016/180 = 11.2 \; \; \mathrm%7Bmm%7D $$

t min = tw

16 mm

 

tw

16 mm

 

u

2016 mm

 

...