AISCAISC 360-22
Formulas

Formulas: column bracing

PDF page 707 · AISC 360-22

Formula 1

For one intermediate brace, βi=2Pr/Lbr\beta_{i}=2 P_{r} / L_{b r}, and for many braces, βi=4Pr/Lbr\beta_{i}=4 P_{r} / L_{b r}.

βi=2Pr/Lbr\beta_{i}=2 P_{r} / L_{b r}

Formula 2

βi=4Pr/Lbr\beta_{i}=4 P_{r} / L_{b r}

Equation C-A-6-5

For point column bracing, the critical stiffness is a function of the number of intermediate braces (Winter, 1958, 1960). For one intermediate brace, βi=2Pr/Lbr\beta_{i}=2 P_{r} / L_{b r}, and for many braces, βi=4Pr/Lbr\beta_{i}=4 P_{r} / L_{b r}. The relationship between the critical stiffness and the number of braces, nn, can be approximated (Yura, 1995) as follows:

βi=(42n)PrLbr\beta_{i}=\left(4-\frac{2}{n}\right) \frac{P_{r}}{L_{b r}}

Formula 4

βbr=2×4Pr/Lbr\beta_{b r}=2 \times 4 P_{r} / L_{b r}

Formula 5

This practice constitutes a simple method of designing for partial bracing; that is, bracing that is sufficient to develop the member's required strength but is not sufficient to develop the member's strength based on Lc=LbrL_{c}=L_{b r}.

Lc=LbrL_{c}=L_{b r}

Found in

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