Hyperstatic rigid frames are one of the most commonly used structural type in building industry. Bending moment is often the major dominant factor that governs the design of sections of structural members. Simultaneously, the sections of member also affect bending moment distribution by determining bending stiffness and the balance of forces. The current design practices of frame members are often material-poorly-efficient because they usually respond to a localized peak of loading notwithstanding constant section dimensions for economical or constructive reasons. Besides, the aesthetic value of varying sections is often unexploited. To settle the terms and parameters of such structural problems requires the coordination of form (global geometry + varying section dimensions which dictates bending stiffness) and bending moment, and higher level of involvement of architects in sections dimensioning. Current numerical methods provide not enough insights into the relation between moment of inertia and resulting bending moment. The resulting approaches are not so intuitive and interactive; this results in a guess-and-check process with poor understanding of the reciprocal influences of involved parameters. Moreover, they often deter architect with their demand of a structural experience hard to acquire. As geometry can describe forms, forces AND magnitudes more intuitionally, the graphical methods, in particular Graphic Statics, can express structural relations more intuitively and provide insights into structural problems. Hence it can facilitate smart design and it is more comprehensible to architects. This paper presents an alternative geometric-based design approach that is more intuitive, interactive, and chronology-free: The method is intuitive because all the relations are expressed explicitly on diagrams. Interactive because form and bending moment are simultaneously and dynamically steered by designers. Chronology-free because the deductive process undertaken by the designer can be switched whenever desired. This integrated method can facilitate designers to balance space and structural needs and render structural forms both innovative and structurally efficient.
Han, S., & Zastavni, D. (2022). A geometric-based method for the perceptive design of hyperstatic rigid frames. SEMINAIRE INAUGURAL DE L’EDT 62, Brussels. https://hdl.handle.net/2078.5/100311