AISCAISC 360-22
Formulas

Formulas: Web Panel-Zone Shear

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Equation C-J10-3a

ΣFu=Mu1dm1+Mu2dm2Vu\Sigma F_{u}=\frac{M_{u 1}}{d_{m 1}}+\frac{M_{u 2}}{d_{m 2}}-V_{u}

Equation C-J10-3b

ΣFa=Ma1dm1+Ma2dm2Va\Sigma F_{a}=\frac{M_{a 1}}{d_{m 1}}+\frac{M_{a 2}}{d_{m 2}}-V_{a}

where

Ma1=Ma1L+Ma1GM_{a 1}=M_{a 1} L+M_{a 1} G

  • = sum of the moments due to the nominal lateral loads, Ma1LM_{a 1 L}, and the mo ments due to nominal gravity loads, Ma1GM_{a 1 G}, on the windward side of the connection, kip-in. (N-mm)

Ma2=Ma2LMa2GM_{a 2}=M_{a 2 L}-M_{a 2 G}

  • = difference between the moments due to the nominal lateral loads, Ma2LM_{a 2 L}, and the moments due to nominal gravity loads, Ma2GM_{a 2 G}, on the leeward side of the connection, kip-in. (N-mm)

Formula 3

Ma1=Ma1L+Ma1GM_{a 1}=M_{a 1} L+M_{a 1} G

Formula 4

Ma2=Ma2LMa2GM_{a 2}=M_{a 2 L}-M_{a 2 G}

Formula 5

If, for LRFD, ΣFuϕRn\Sigma F_{u} \leq \phi R_{n}, or for ASD, ΣFaRn/Ω\Sigma F_{a} \leq R_{n} / \Omega, no reinforcement is necessary; in other words, treq twt_{\text {req }} \leq t_{w}, where twt_{w} is the column web thickness.

ΣFuϕRn\Sigma F_{u} \leq \phi R_{n}

Formula 6

ΣFaRn/Ω\Sigma F_{a} \leq R_{n} / \Omega

Formula 7

treq twt_{\text {req }} \leq t_{w}

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