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The shear strength of connecting elements in shear is the minimum value obtained according to the limit states of shear yielding and shear rupture. Shear rupture is checked according to AISC 360-16.
Fu | 360000 kN/m2 | |
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body | --uriencoded--$$ \normalsize A_%7Bn%7D = 30 ( 420 - 4 \times ( 24 + 2 + 3 ) ) =9120 $$ |
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| AISC 360-16 J4-4 |
dm | 394.154 mm | |
Mreq | 119.655 kNm | |
Nreq | -27.504 kN | |
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body | --uriencoded--$$ \normalsize R_%7Breq%7D = \dfrac%7B M_%7Breq%7D %7D%7Bd_m%7D + \dfrac%7B N_%7Breq%7D %7D%7B2%7D = \dfrac%7B 119.655 %7D%7B394.154%7D + \dfrac%7B -27.504 %7D%7B2%7D = 289.822 $$ |
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body | $$ \normalsize R_n = 0.6 F_u A_n = 0.6 \times 360 \times 9120 = 1969.92 $$ |
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body | $$ \normalsize \varphi R_n = 0.75 \times 1969.92 = 1477.44 $$ |
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Required | Available | Ratio | Control |
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289.822 kN | 1477.44 kN | 0.196 | √ |
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The calculation is made using the Elastic method, one of the methods selected in the steel analysis settings tab. For the details of this check, AISC Manual 14th 7-8 is used as a reference. In this check, the operation is performed on half of the symmetry axis and is calculated to form a force pair with the required force.
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body | --uriencoded--$$ \normalsize A_b = \dfrac%7B \pi d%5e2%7D %7B4%7D = \dfrac%7B \pi 24%5e2%7D %7B4%7D = 452.389 $$ |
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body | --uriencoded--$$ \normalsize F_n = 0.450 F_%7Bub%7D = 0.450 \times 1000 =450 $$ |
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body | --uriencoded--$$ \normalsize R_n = F_n A_b = 4 \times 450 \times 452.389 \times 10%5e%7B-3%7D = 814.3 $$ |
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| AISC 360-16 J3-1 |
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body | --uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 814.3 = 610.725 \; \; \mathrm%7BkN%7D $$ |
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Required | Available | Ratio | Control |
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5.313 kN | 610,725 kN | 0.009 | √ |
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Bearing strength limit states of the connection plate that are “shear tear out” and “ovalization of bolt hole” for both end and inner bolts are checked according to AISC 360-16.
dh | 24+3=27 mm | |
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body | --uriencoded--$$ \normalsize L_%7Bc,edge%7D = L_e - 0.5d_h = 51.519 - 0.5 \times 27 = 38.019 $$ |
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body | --uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2L_c \times t \times F_u \\2.4d \times t \times F_u \end%7Bmatrix%7D\right] \end%7Baligned%7D |
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| AISC 360-16 J3-6a |
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body | --uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(38.019)(30)(360 \times 10%5e%7B-3%7D) \\2.4(24)(30)(360\times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =492.72 |
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body | --uriencoded--$$ \normalsize L_%7Bc,spacing%7D =157.767 - 27 = 130.767 $$ |
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body | --uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(130.767)(30)(360 \times 10%5e%7B-3%7D) \\2.4(24)(30)(360\times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =622.08 |
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body | --uriencoded--$$ \normalsize R_%7Bn%7D = n_eR_%7Bn,edge%7D + n_sR_%7Bn,spacing%7D $$ |
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body | --uriencoded--$$ \normalsize R_%7Bn%7D = 2 \times 492.72 + 2 \times 622.08 = 2229.6 $$ |
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body | $$ \normalsize \varphi R_n = 0.75 \times 2229.6 = 1672.2 $$ |
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Required | Available | Ratio | Control |
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5.313 kN | 1672.2kN | 0.003 | √ |
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Fyp | 235000 kN/m2 | AISC DG-4-2 nd 2.1.7 |
tbw | 9 mm | |
Fe | 480000 kN/m2 | |
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body | --uriencoded--$$ \normalsize w \geq \dfrac %7B \varphi 0.6 F_%7Byp%7D t_%7Bwb%7D%7D %7B2 \varphi_w 0.6 F_e 0.707%7D%7D =\dfrac %7B 1 \times 0.6 \times 235 \times 10%5e%7B-3%7D \times 9%7D %7B2 \times 0.75 \times 0.6 \times 480 \times 10%5e%7B-3%7D \times 0.707%7D%7D = 3.97 $$ |
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Required | Available | Ratio | Control |
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3.97 mm | 8.487 mm | 0.468 | √ |
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w | 8.487 mm | |
FE | 480 N/mm2 | |
le | 190.193 mm | |
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body | --uriencoded--$$ \normalsize R_n = 2 \times 0.6 \times 480 \times 10%5e%7B-3%7D \times 0.707 \times 8.487 \times 190.193 = 657.34 $$ |
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| AISC DG-4-2 nd 2.1.8 |
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body | $$ \normalsize \varphi R_n = 0.75 \times 657.34 = 493 $$ |
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Required | Available | Ratio | Control |
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5.313 kN | 492.981 kN | 0.011 | √ |
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