Abstract: The invention relates to a leg assembly for an offshore structure, such as a self-elevating jack-up rig. The leg assembly has a pair of parallel leg chords divided into a plurality of sections by transverse bracing members. A unit of angular bracing members is secured within each such section. The unit has four angular members defining a rhombus, with each angular bracing member attached to a transverse bracing member and an adjacent leg chord. The braces are connected at four points to each other. The leg assembly is free from obstructing, drag-increasing auxiliary braces.