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Muc | 861.352 kNm | AISC 358-16 (6.8-13) |
Fyp | 275000 kN/m2 | |
s | Mathinline |
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body | --uriencoded--$$ \normalsize s = \dfrac%7B1%7D%7B2%7D \sqrt%7B b_f g%7D = \dfrac%7B1%7D%7B2%7D \sqrt%7B 300 \times 140%7D = 102.469 $$ |
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c | Mathinline |
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body | --uriencoded--$$ \normalsize c = p_%7Bfo%7D + t_%7Bfo%7D + p_%7Bfi%7D = 50 + 16 + 50 = 116 $$ |
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Yc | Mathinline |
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body | --uriencoded--$$ \normalsize Y_c = \dfrac%7Bb_f%7D%7B2%7D \left [ h_1 \left ( \dfrac%7B1%7D%7Bs%7D \right ) + h_4 \left ( \dfrac%7B1%7D%7Bs%7D \right ) \right ] $$ |
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body | --uriencoded--$$ \normalsize + \dfrac%7B2%7D%7Bg%7D \left [ h_1 \left ( p_b + s + \dfrac%7Bc%7D%7B4%7D \right ) + h_2 \left ( \dfrac%7Bp_b%7D%7B2%7D + \dfrac%7Bc%7D%7B4%7D \right ) + h_3 \left ( \dfrac%7Bp_b%7D%7B2%7D + \dfrac%7Bc%7D%7B2%7D \right ) +h_4(s) \right ] + \dfrac%7Bg%7D%7B2%7D $$ |
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Yc | Image Removed | | tcf | Image Removed Mathinline |
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body | --uriencoded--$$ \normalsize Y_c = \dfrac%7B300%7D%7B2%7D \left [ 582/5 \left ( \dfrac%7B1%7D%7B102.469%7D \right ) + 287.5 \left ( \dfrac%7B1%7D%7B102.469%7D \right ) \right ] $$ |
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body | --uriencoded--$$ \normalsize + \dfrac%7B2%7D%7B140%7D \left [ 582.5 \left ( 90 + 102.469 + \dfrac%7B116%7D%7B4%7D \right ) + 492.5 \left ( \dfrac%7B90%7D%7B2%7D + \dfrac%7B116%7D%7B4%7D \right ) $$ |
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body | --uriencoded--$$ \normalsize + 377.5 \left ( \dfrac%7B90%7D%7B2%7D + \dfrac%7B116%7D%7B2%7D \right ) +287.5(102.469) \right] + \dfrac%7B140%7D%7B2%7D = 7094.956 $$ |
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tcf | Mathinline |
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body | --uriencoded--$$ \normalsize t_%7Bcf%7D \geq \sqrt%7B \dfrac %7B 1.11 M_%7Buc%7D%7D %7B\varphi F_%7Byc%7DY_c%7D %7D = \sqrt%7B \dfrac %7B 1.11 \times 861.352%7D %7B 1 \times 275 \times 10%5e%7B-3%7D \times 7094.956%7D %7D = 22.137 $$ |
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Required | Available | Ratio | Control |
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22.137 mm | 31 mm | 0.714 | √ |
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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 |
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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 |
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Fy | 275000 kN/m2 | |
Ag | 28634.759 mm2 | |
dc | 650 mm | |
tw | 16 mm16 mm | |
Rn | Mathinline |
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body | --uriencoded--$$ \normalsize R_n = 0.6F_%7By%7Dd_ct_w = 0.6 \times 275 \times 10%5e%7B-3%7D \times 650 \times 16 = 1716 \; \; \mathrm%7BkN%7D $$ |
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RΦRn Image Removed | | | ΦRn | Image Removed | body | --uriencoded--$$ \normalsize \varphi R_n = 1 \times 1716 = 1716 \; \; \mathrm%7BkN%7D $$ |
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Required | Available | Ratio | Control |
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1754.043 kN | 1716 kN | 1.022 | ꭓ |
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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 |
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body | --uriencoded--$$ \normalsize t_%7Bmin%7D = 16 \geq 2016/180 = 11.2 \; \; \mathrm%7Bmm%7D $$ |
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| TBDY 2018 9.3.4.2b |
tmin = t w | 16 mm | |
tw | 16 mm | |
u | 2016 mm | |
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