Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

Image Removed

Muc

861.352 kNm

AISC 358-16 (6.8-13)

Fyp

275000 kN/m2

 

s

Mathinline
body--uriencoded--$$ \normalsize s = \dfrac%7B1%7D%7B2%7D \sqrt%7B b_f g%7D = \dfrac%7B1%7D%7B2%7D \sqrt%7B 300 \times 140%7D = 102.469 $$

 

c

Mathinline
body--uriencoded--$$ \normalsize c = p_%7Bfo%7D + t_%7Bfo%7D + p_%7Bfi%7D = 50 + 16 + 50 = 116 $$

 

Yc

Mathinline
body--uriencoded--$$ \normalsize Y_c = \dfrac%7Bb_f%7D%7B2%7D \left [ h_1 \left ( \dfrac%7B1%7D%7Bs%7D \right ) + h_4 \left ( \dfrac%7B1%7D%7Bs%7D \right ) \right ] $$

Mathinline
body--uriencoded--$$ \normalsize + \dfrac%7B2%7D%7Bg%7D \left [ h_1 \left ( p_b + s + \dfrac%7Bc%7D%7B4%7D \right ) + h_2 \left ( \dfrac%7Bp_b%7D%7B2%7D + \dfrac%7Bc%7D%7B4%7D \right ) + h_3 \left ( \dfrac%7Bp_b%7D%7B2%7D + \dfrac%7Bc%7D%7B2%7D \right ) +h_4(s) \right ] + \dfrac%7Bg%7D%7B2%7D $$

 

Yc

Image Removed

 

tcf

Mathinline
body--uriencoded--$$ \normalsize Y_c = \dfrac%7B300%7D%7B2%7D \left [ 582/5 \left ( \dfrac%7B1%7D%7B102.469%7D \right ) + 287.5 \left ( \dfrac%7B1%7D%7B102.469%7D \right ) \right ] $$

Mathinline
body--uriencoded--$$ \normalsize + \dfrac%7B2%7D%7B140%7D \left [ 582.5 \left ( 90 + 102.469 + \dfrac%7B116%7D%7B4%7D \right ) + 492.5 \left ( \dfrac%7B90%7D%7B2%7D + \dfrac%7B116%7D%7B4%7D \right ) $$
Mathinline
body--uriencoded--$$ \normalsize + 377.5 \left ( \dfrac%7B90%7D%7B2%7D + \dfrac%7B116%7D%7B2%7D \right ) +287.5(102.469) \right] + \dfrac%7B140%7D%7B2%7D = 7094.956 $$

 

tcf

Mathinline
body--uriencoded--$$ \normalsize t_%7Bcf%7D \geq \sqrt%7B \dfrac %7B 1.11 M_%7Buc%7D%7D %7B\varphi F_%7Byc%7DY_c%7D %7D = \sqrt%7B \dfrac %7B 1.11 \times 861.352%7D %7B 1 \times 275 \times 10%5e%7B-3%7D \times 7094.956%7D %7D = 22.137 $$

Required

Available

Ratio

Control

22.137 mm

31 mm

0.714

...

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

Pr

625.405 kN

AISC 360-16 J10-9

Py

Image Removed

J10-9

Py

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 mm16 mm

 

Rn

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

 

RΦRn

Image Removed

Mathinline

 

ΦRn

Image Removed

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

 

Required

Available

Ratio

Control

1754.043 kN

1716 kN

1.022

...

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

tmin≥u/180

Image Removed

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

TBDY 2018 9.3.4.2b

tmin = t w

16 mm

 

tw

16 mm

 

u

2016 mm

 

...