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Fyp

275000 kN/m2

AISC 358-16

6.7.6 (3)

tbw

9 mm

 

Fe

490000 kN/m2

 

w

Image Removed

Mathinline
body--uriencoded--$$ \normalsize w \geq \dfrac %7B \varphi_t F_%7Byb%7D t_%7Bbw%7D%7D %7B2 \times \varphi \times 0.6 \times F_e \times 1.5 \times0.707%7D%7D $$

Mathinline
body--uriencoded--$$ \normalsize = \dfrac %7B 0.9 \times 275 \times 10%5e%7B-3%7D \times 9%7D %7B2 \times 0.75 \times 0.6 \times 490 \times 10%5e%7B-3%7D \times 1.5 \times 0.707%7D%7D = 4.763 $$

 

Required

Available

Ratio

Control

4.763 mm

8.487 mm

0.561

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

796.489 kNm

AISC 358-16 (6.8-13)

Fyp

275000 kN/m2

 

s

Mathinline
body--uriencoded--$$ \normalsize s = \dfrac%7B1%7D%7B2%7D \sqrt%7B b_f g%7D = \dfrac%7B1%7D%7B2%7D \sqrt%7B 300 \times 150%7D = 106.066 $$

 

c

Mathinline
body--uriencoded--$$ \normalsize c = p_%7Bfo%7D + t_%7Bfo%7D + p_%7Bfi%7D = 60 + 16 + 60 = 136 $$

 

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--$$ \tiny Y_c = \dfrac%7B300%7D%7B2%7D \left [ 367.5 \left ( \dfrac%7B1%7D%7B106.066%7D \right ) + 502.5 \left ( \dfrac%7B1%7D%7B106.066%7D \right ) \right ] + \dfrac%7B2%7D%7B150%7D \left [ 367.5 \left ( 106.066 + \dfrac%7B3 \times 136 %7D%7B4%7D \right ) + 502.5 \left ( 106.066 + \dfrac%7B136%7D%7B4%7D \right ) + \dfrac%7B136%5e2%7D%7B2%7D \right ] + \dfrac%7B150%7D%7B2%7D $$

Mathinline
body$$ \normalsize Y_c = 5344.209 $$

 

tcf

Mathinline
body--uriencoded--$$ \normalsize t_%7Bcf%7D \geq \sqrt%7B \dfrac %7B 1.11 M_%7Buc%7D%7D %7B\varphi F_%7Byc%7DY_c%7D %7D = \sqrt%7B \dfrac %7B 1.11 \times 796.489%7D %7B 1 \times 275 \times 10%5e%7B-3%7D \times 5344.209%7D %7D = 24.527 $$

 

Required

Available

Ratio

Control

4

24.

763

527 mm

8.487

31 mm

0.

561

791

Column

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Panel Zone Shear

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Required

...

Available

...

Ratio

...

Control

...

24.527 mm

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31 mm

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0.791

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Column Panel Zone Shear

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Pr

...

366.473 kN

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AISC 360-16 J10-9

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Py

...

 

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Fy

...

275000 kN/m2

...

 

...

A g

...

28634.759 mm2

...

 

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d c

...

650 mm

...

 

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tw

...

16 mm

...

 

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Rn

...

 

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ΦRn

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Yielding of the column panel zonefor four bolts unstiffened end plate connection is checked according to AISC 358360-16 §6.8

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Muc

...

796.489 kNm

...

AISC 358-16 (6.8-13)

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Fyp

...

275000 kN/m2

...

 

...

s

...

 

...

c

...

 

...

Yc

...

 

...

Yc

...

 

...

tcf

...

 

J.10

Pr

366.473 kN

AISC 360-16 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

 

A g

28634.759 mm2

 

d c

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

1621.957 kN

1716 kN

0.945

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

tmin = t w

16 mm

 

tw

16 mm

 

u

2016 mm

 

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