Title: Groined Vaults
Author(s): Alex C. Scordelis
Publication: Symposium Paper
Appears on pages(s): 115-138
Keywords: bending; computer programs; finite element method; reviews; hyperbolic parabolic shells; loads (forces); reinforced concrete; shells (structural forms); structural analysis; structural design; Structural Research
The state of the art for the analysis and design of hyperbolic parabolic (HP) shells is reviewed. The necessary expressions for determining the internal membrane stresses in the shell and the internal axial forces, shears, and bending moments in the groin arch due to surface dead and live loads on the shell are given. A special-purpose computer program GROINV, for the membrane analysis of HP groined vaults with a minimum of input data, is briefly described. The program is available from the author. Numerical results for several groined vaults with varying amounts of curved shell overhang are presented and their structural behavior with respect to concrete and reinforcing steel requirements is compared. Recent developments in the nonlinear finite element analysis of reinforced concrete shells that account for membrane and bending actions are reviewed, and results obtained for HP groined vaults loaded to ultimate failure using computer programs developed at Berkeley are briefly described with respect to their design implications.