# How to calculate the lateral bending capacity of a laced strut?

The vertical bending capacity of a twin UB laced strut can be calculated by $M_c = p_y \cdot 2Z_x$. Where $Z_x$ is the section modulus of a single UB section about its major axis.

For lateral bending capacity, can we calculate this by using $I_c = 2I_y + 2As^2/4$, where $s$ is the separation distance between centroid of the two UBs, and $Z_c = I_c/e$, where $e$ is the distance from centre of laced strut to extreme fibre?

Would the built-up member have a lower bending capacity due to the two beams being laced together at fixed intervals instead of being joined continuously together via welding?

In summary, can we design laced strut for significant lateral bending instead of mainly axial compression?

Yes, so long as $s$ is the distance between the centroid of one section and the centroid of the combined section, and $e$ is the distance from the centroid of the combined section to the extreme lateral fiber.