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The bolt shear limit state of the connection is checked according to AISC 360-16.
Ab  Image Removed | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_b = \dfrac%7B \pi d%5e2%7D %7B4%7D = \dfrac%7B \pi 20%5e2%7D %7B4%7D = 314.159 $$ |
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Fn |  Image Removed | Rn |  Image Removed | | Mathinline |
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| body | --uriencoded--$$ \normalsize F_n = 0.450 F_%7Bub%7D = 0.450 \times 1000 =450 $$ |
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Rn | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_n = F_n A_b = 4 \times 450 \times 314.159 \times 10%5e%7B-3%7D = 565.486 $$ |
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| AISC 360-16 J3-1 |
ΦRn  Image Removed | | Mathinline |
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| body | $$ \normalsize \varphi R_n = 0.75 \times 565.486 = 424.115 $$ |
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Required | Available | Ratio | Control |
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413.063 kN | 424.115 kN | 0.974 | √ |
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