Stress Concentration Factors for Simple Tubular K Joints

Balanced axial load

K image
$$ \beta = \frac{d}{D} $$
$$ \alpha = \frac{2L}{D} $$
$$ \gamma = \frac{D}{2T} $$
$$ \tau = \frac{t}{T} $$
$$ \zeta = \frac{g}{D} $$
Location Equation Short chord correction
Chord $$\tau^{0.9}\gamma^{0.5}\left(0.67-\beta^2+1.16\beta\right)\sin\theta\left(\frac{\sin\theta_{max}}{\sin\theta_{min}}\right)^{0.30}\left(\frac{\beta_{max}}{\beta_{min}}\right)^{0.30}\left(1.64+0.29\beta^{-0.38}\arctan\left(8\zeta\right)\right)\tag{Eq. 20}$$ None
Brace $$1+\left(1.97-1.57\beta^{0.25}\right)\tau^{-0.14}\left(\sin\theta\right)^{0.7}\left(\mbox{Eq. 20}\right)+\left(\sin\left(\theta_{max}+\theta_{min}\right)\right)^{1.8}\left(0.131-0.084\arctan\left(14\zeta+4.2\beta\right)\right)C\beta^{1.5}\gamma^{0.5}\tau^{-1.22}$$ None