Stress Concentration Factors for Simple Tubular K Joints

Unbalanced in plane bending

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 $1.45 \beta \tau^{0.85}\gamma^{1-0.68 \beta}\left(\sin\left(\theta\right)\right)^{0.7}$
For overlaps exceeding 30% of contact length, multiply by 1.2
None
Brace Gap joint:
$1+0.65 \beta \tau^{0.4}\gamma^{1.09-0.77\beta}\left(\sin\left(\theta\right)\right)^{0.06\gamma-1.16}$
Overlap joint:
$\left(1+0.65 \beta \tau^{0.4}\gamma^{1.09-0.77\beta}\left(\sin\left(\theta\right)\right)^{0.06\gamma-1.16}\right)\left(0.9+0.4\beta\right)$
None

Note that the designation of braces A and B is not geometry dependent. It is nominated by the user.