A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
This chapter develops the membrane and deformation theories for barrel vaults, for various loadings such as uniform vertical and horizontal loads, distributed evenly or assuming a sin wave variation. Boundary effects theory is developed to correct membrane errors that occur along the free edge. Boundary theory is also derived for the case of edge beams; compatibility equations are formulated to determine the reactions between the edge beam and shell walls, which are used to distribute the reaction stresses in the walls of the vault. The mathematical derivation is fully developed for this shell. However, the ASCE Manuals of Engineering Practice, No. 31, on the Design of Cylindrical Concrete Shell Roofs is given as an alternative analysis procedure, which is based on the developed theory. The ASCE method is given to ease the complex nature of the analysis.
This chapter develops the membrane and deformation theories for barrel vaults, for various loadings such as uniform vertical and horizontal loads, distributed evenly or assuming a sin wave variation. Boundary effects theory is developed to correct membrane errors that occur along the free edge. Boundary theory is also derived for the case of edge beams; compatibility equations are formulated to determine the reactions between the edge beam and shell walls, which are used to distribute the reaction stresses in the walls of the vault. The mathematical derivation is fully developed for this shell. However, the ASCE Manuals of Engineering Practice, No. 31, on the Design of Cylindrical Concrete Shell Roofs is given as an alternative analysis procedure, which is based on the developed theory. The ASCE method is given to ease the complex nature of the analysis.
The Circular Barrel Vault
Gohnert, Mitchell (author)
Shell Structures ; Chapter: 6 ; 215-291
2022-02-03
77 pages
Article/Chapter (Book)
Electronic Resource
English
Barrel vault , Edge beams , Membrane stresses , Boundary effects , Differential element , Gravity load , Barrel shell , Deformations , Boundary conditions , Translations , Rotations , Strains , Fourier series , Shallow shell theory , Moments , Shears , Plate theory , Equilibrium equations , Curvature , Twisting curvature , Biharmonic deep-beam equations , Partial differential equations , Potential function , Biharmonic operator , Complementary solution , Particular solution , Homogenous equation , Non-homogenous equation , Symmetrical loading , Coefficients , Simultaneous equations , Compatibility equations , Free edges Engineering , Mechanical Statics and Structures , Engineering Mathematics , Mechanical Engineering , Mathematical and Computational Engineering , Solid Mechanics , Building Construction and Design
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