Continuous laminar adhesive joints are especially well-suited to connect thin-walled precast concrete elements in a friction-locked and form-fitted manner. The aim of this project is the development and the optimization of easy to use glued joints for plate and disc components. These glued connections are supposed to withstand and transmit load conditions of forces and moments at cut cross sections. Design parameters under investigation are the geometry of the glued joints, their surface properties and the reinforcements of the concrete elements. We primarily use a high performance mineral mortar, also known as reactive-powder concrete adhesive. The optimization of the adhesive joint geometry and the reinforcement close to the joint is based on a mathematically rigorous shape and topology optimization method. In doing so, a level-set function is employed to model the geometry of the joint and the interface of concrete and reinforcement. Our level set approach was originally developed to compute weight optimized castings. The method makes use of the topological gradient as a measure to quantify the sensitivity of the objective function with respect to the size of local porous inclusions and cracks. Based on the experimental and numerical investigations made during the project, we strive to provide decision support for joint designs. Moreover, a simplified engineering design model is going to be developed which allows to characterize transmittable forces and moments at cut cross sections.