Formulas: Filled Composite Members

Equation 14-1

The nominal shear strength, $V_{n}$, shall include the contributions of the structural steel section and concrete infill as follows:

where

• $A_{v}=$ shear area of the steel portion of a composite member. The shear area for a round section is equal to $2 A_{s} / \pi$, and for a rectangular section is equal to the sum of the area of webs in the direction of in-plane shear, in. ${ }^{2}\left(\mathrm{~mm}^{2}\right)$

$A_{c}=\operatorname{area}$ of concrete infill, in. ${ }^{2}\left(\mathrm{~mm}^{2}\right)$

• $K_{c}=1$ for members with shear span-to-depth, $\left(M_{u} / V_{u}\right) / d$, greater than or equal to 0.7 , where $M_{u}$ and $V_{u}$ are equal to the maximum required flexural and shear strengths, respectively, along the member length, and $d$ is equal to the member depth in the direction of bending
• = 10 for members with rectangular compact composite cross sections and $\left(M_{u} / V_{u}\right) / d$ less than 0.5
• = 9 for members with round compact composite cross sections and $\left(M_{u} / V_{u}\right) / d$ less than 0.5
• = 1 for members having other than compact composite cross sections, for all values of $\left(M_{u} / V_{u}\right) / d$

Formula 2

Low shear span-to-depth ratios may occur in connection design (panel zones) or other special situations, for which higher values of $K_{c}(>1.0)$ are more appropriate.

Found in

• SHEAR