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Muc | 861.35 kNm | AISC 358-16 (6.8-4) |
Ft | 750000 kN/m2 | |
h1 | | Mathinline |
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| body | --uriencoded--$$ \normalsize h_%7B1%7D = d - \dfrac%7Bt_%7Bfo%7D%7D %7B2%7D + p_%7Bfo%7D + p_b = 450 - \dfrac %7B15%7D %7B2%7D + 50 + 90 = 582.5 $$ |
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h2 | | Mathinline |
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| body | --uriencoded--$$ \normalsize h_%7B2%7D = d - \dfrac%7Bt_%7Bfo%7D%7D %7B2%7D + p_%7Bfo%7D = 450 - \dfrac %7B15%7D %7B2%7D + 50 = 492.5 $$ |
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h3 | | Mathinline |
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| body | --uriencoded--$$ \normalsize h_%7B3%7D = d - t_%7Bfo%7D - p_%7Bfi%7D - \dfrac%7B t_%7Bfo%7D%7D%7B2%7D = 450 - 15- 50 - \dfrac%7B 15%7D%7B2%7D = 377.5 $$ |
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h4 | | Mathinline |
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| body | --uriencoded--$$ \normalsize h_%7B4%7D = d - t_%7Bfo%7D - p_%7Bfi%7D - \dfrac%7B t_%7Bfo%7D%7D%7B2%7D - p_b = 450 - 15- 50 - \dfrac%7B 15%7D%7B2%7D - 90 $$ |
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| Mathinline |
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| body | --uriencoded--$$ \normalsize h_%7B4%7D = 287.5 $$ |
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db  Image Removed | | |
Required | Available | Ratio | Control |
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21.607 mm | 30 mm | 0.720 | √ |
End Plate Thickness
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| body | --uriencoded--$$ \normalsize d_b \geq \sqrt%7B \dfrac %7B 2 M_%7Buc%7D%7D %7B\varphi \pi F_%7Bt%7D(h_o + h_1 )%7D %7D $$ |
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| body | --uriencoded--$$ \small = \sqrt%7B \dfrac %7B 2 \times 861.35 %7D %7B 0.90 \times \pi \times 750000 \times (582.5 + 492.5 + 377.5 +287.5 )%7D %7D = 21.607 \; \; \mathrm%7Bmm%7D $$ |
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Required | Available | Ratio | Control |
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21.607 mm | 30 mm | 0.720 | √ |
End Plate Thickness
The required end plate thickness, tb, for eight bolts stiffened end plate connection is checked according to AISC 358-16 §6.8
Muc | 861.35 kNm | AISC 358-16 (6.8-5) |
Fyp | 275000 kN/m2 | |
s  Image Removed |  Image Removed | | Yp | | body | --uriencoded--$$ \normalsize s = \dfrac%7B1%7D%7B2%7D \sqrt%7B b_pg%7D = \dfrac%7B1%7D%7B2%7D \sqrt%7B 280 \times 140%7D = 98.995 $$ |
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Yp  Image Removed |  Image Removed | | tp | | body | --uriencoded--$$ \normalsize Y_p = \dfrac%7Bb_p%7D%7B2%7D \left [ h_1\dfrac%7B1%7D%7B2d_e%7D + h_2 \dfrac%7B1%7D%7Bp_%7Bfo%7D%7D + h_3 \dfrac%7B1%7D%7Bp_%7Bfi%7D%7D + h_4 \dfrac%7B1%7D%7Bs%7D \right ] + \dfrac%7B2%7D%7Bg%7D \left [ h_1 \left (d_e + \dfrac%7Bp_b%7D%7B4%7D \right ) $$ |
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| body | --uriencoded--$$ \normalsize + h_2 \left (p_%7Bfo%7D + \dfrac%7B3p_b%7D%7B4%7D \right ) + h_3 \left (p_%7Bfi%7D + \dfrac%7Bp_b%7D%7B4%7D \right ) + h_4 \left (s + \dfrac%7B3p_b%7D%7B4%7D \right ) + p_b%5e2 \right ] + g $$ |
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Yp | | Mathinline |
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| body | --uriencoded--$$ \normalsize Y_p = \dfrac%7B280%7D%7B2%7D \left [ 582.5\dfrac%7B1%7D%7B2 \times 70%7D + 492.5 \dfrac%7B1%7D%7B50%7D + 377.5 \dfrac%7B1%7D%7B50%7D + 287.5 \dfrac%7B1%7D%7B98.995%7D \right ] $$ |
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| body | --uriencoded--$$ \normalsize + \dfrac%7B2%7D%7B140%7D \left [ 582.5 \left (70 + \dfrac%7B90%7D%7B4%7D \right ) + 492.5 \left (50 + \dfrac%7B3 \times 90 %7D%7B4%7D \right ) +377.5 \left (50 + \dfrac%7B90%7D%7B4%7D \right ) $$ |
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| body | --uriencoded--$$ \normalsize + 287.5 \left (98.995 + \dfrac%7B3 \times 90%7D%7B4%7D \right ) + 90%5e2 \right ] + 140 =6352.03 $$ |
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tp | Image Added| Mathinline |
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| body | --uriencoded--$$ \normalsize t_p \geq \sqrt%7B \dfrac %7B 1.11 M_%7Buc%7D%7D %7B\varphi F_%7Byc%7DY_p%7D %7D = \sqrt%7B \dfrac %7B 1.11 \times 861.35%7D %7B 1 \times 275 \times 10%5e%7B-3%7D \times 6352.03%7D %7D = 23.395 $$ |
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Required | Available | Ratio | Control |
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23.395 mm | 30 mm | 0.780 | √ |
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