The examined model consists of two substructures linked by a right angle rigid line joint. One element is a wall loaded externally along its upper edge by an uneven vertical load. The other element, defined as a plate, is not loaded. Stresses and displacements in the vicinity of the joint are analysed, considering the lateral distribution which leads to three-dimensional effects. The proposed solution combines classical approach with numerical means, using appropriate stress distribution polynomial functions along the joint. Space structure constructions supply cases of interest.