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Home > Publications > International Concrete Abstracts Portal
The International Concrete Abstracts Portal is an ACI led collaboration with leading technical organizations from within the international concrete industry and offers the most comprehensive collection of published concrete abstracts.
Showing 1-5 of 9 Abstracts search results
Document:
SP110-02
Date:
November 1, 1988
Author(s):
A;lex C. Scordelis
Publication:
Symposium Papers
Volume:
110
Abstract:
A review of the state of the art for the membrane analysis of hyperbolic parabolic (HP) shells is presented. Membrane solutions using simple statics are given for HP shells having square, rectangular, or parallelogram shapes in plan and subjected only to uniform vertical loading over the horizontal projection of the shell. Statics of shell-edge beam systems are discussed for saddle shells, inverted umbrellas, gable shells, and shells on two supports. Membrane stresses for general loadings on parallelogram-shaped HP shells obtained using a differential equation approach are described. Stress transformation formulas are given that can be used to find principal membrane stresses in the shell and boundary stresses to be transmitted to the edge members. Membrane stresses in HP shells having an arbitrary quadrilateral shape are discussed and procedures for determining them are discussed.
DOI:
10.14359/2798
SP110
Editor: Jack Christiansen
SP110 Offering both utility and beauty, the hyperbolic paraboloid (HP) shell came to the attention of American designers in the early 1950's. Since that time, many hyperbolic paraboloid structures have been built both in the United States and around the world. This state-of-the-art report on hyperbolic paraboloids is the culmination of over ten years of research and fact gathering. Effort has been devoted to developing analysis and design data and techniques for hyperbolic paraboloid concrete shells, especially for umbrella, gable and saddle shells. "Hyperbolic Paraboloid Shells" offers the latest information on topics such as: bending theory, saddle shells, hyperbolic paraboloid performance and cost, groined vaults, membrane analysis and construction.
10.14359/14143
SP110-04
Alex C. Scordelis and Mark A. Ketchum
A review of the state of the art for the analysis and design of HP saddle shells is presented. Design considerations and basic load carrying mechanisms are discussed. Results of a detailed parameter study are presented for loadings on a saddle shell with tips free. These were carried out with a linear finite element analysis computer program that includes membrane and bending action in the shell and edge beams. Results are given and compared for shell membrane stresses and bending moments, edge beam stress resultants, and vertical displacements for the following parameters: 1) loading-shell DL + LL, edge beam DL, and shell and edge beam loads; 2) deep shell and shallow shell; and 3) uniform edge beam cross-section and tapered edge beam cross section. Additional brief discussions are given on the following effects: 1) rise-span ratio; 2) type of vertical supporting system; 3) edge beam eccentricity; 4) horizontal thrust supporting system; 5) prestressing; and 6) inelastic behavior and ultimate strength.
10.14359/2816
SP110-07
Jack Christiansen
The performance of hyperbolic paraboloid concrete shell structures with respect to function, strength, serviceability, and economy is discussed. Cost estimates are presented for three example roof structures.
10.14359/3612
SP110-03
W. C. Schnobrich
The equations for a bending theory of shallow shells are specialized to the case of the hyperbolic paraboloid shell. The nature of the analytic solutions to these equations that have been achieved for this class of shells is described. Such analytical solutions involve boundary conditions that depart significantly from those present in real shell applications. Types of numerical approximate solutions present as alternatives are noted and the details of one of these, the finite element method, are described. The importance of the dead weight of perimeter or support beams is noted, demanding a bending solution with real support conditions. Some representative solutions are included as examples.
10.14359/2808
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