Formulas: Combined Tension and Shear in Bearing-Type Connections

Equation C-J3-4a

\left(\frac{f_{t}}{\phi F_{n t}}\right)^{2}+\left(\frac{f_{v}}{\phi F_{n v}}\right)^{2}=1

\left(\frac{\Omega_{f_{t}}}{F_{n t}}\right)^{2}+\left(\frac{\Omega_{f_{v}}}{F_{n v}}\right)^{2}=1

where

$F_{n t}=$ nominal tensile stress, ksi (MPa)

\left(\frac{\Omega_{f_{t}}}{F_{n t}}\right)+\left(\frac{\Omega_{f_{v}}}{F_{n v}}\right)=1.3

F_{n v}^{\prime}=1.3 F_{n v}-\frac{F_{n y}}{\phi F_{n t}} f_{t} \leq F_{n v}

F_{n v}^{\prime}=1.3 F_{n v}-\frac{\Omega F_{n v}}{F_{n t}} f_{t} \leq F_{n v}

F_{n v}^{\prime}=F_{n v} \sqrt{1-\left(\frac{f_{t}}{\phi F_{n t}}\right)^{2}}

F_{n v}=F_{n v} \sqrt{1-\left(\frac{\Omega_{f t}}{F_{n t}}\right)^{2}}