Statically Indeterminate Arch Analysis

From a structural point of view, arches can bear very significant compression forces and considerably reduce the bending effect. This chapter presents the fundamental concepts of statically indeterminate arch analysis. Statically indeterminate arches are classified according to their connection with the external environment. The chapter describes the three categories of arches based on geometry: semicircular arches, parabolic arches, and tied arches. In general, the arches studied are statically indeterminate and the method of forces is widely used. The chapter provides the advantages of arch constructions. It helps readers to analyze semicircular arches and parabolic arches under concentrated and distributed loads. To show the variation of internal and external actions under a moving load, the influence lines of internal and external actions are established. Finally, the chapter discusses various problems regarding the concepts discussed, which are useful for the readers to understand these concepts.