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International Concrete Abstracts Portal

Showing 1-5 of 9 Abstracts search results

Document: 

SP110-05

Date: 

November 1, 1988

Author(s):

W. C. Schnobrich

Publication:

Symposium Papers

Volume:

110

Abstract:

Umbrella and gable configurations are two of the most popular hyperbolic parabolic geometries. Early design of those shells was accomplished through the use of membrane theory. This determinant theory predicted overall behavior of these shells as a double cantilever beam for the inverted umbrella and as a simple beam for the gable shell. As long as the dimensions of these shells were small enough, this theory was adequate. However, with increased spans and with flatter applications, the theory proves to be inadequate. Bending solutions achieved by a finite element analysis prove to be necessary. Results from such analysis demonstrate the influence of several design parameters. The major role played by the dead weight of the edge and ridge beams is demonstrated.

DOI:

10.14359/3170


Document: 

SP110-07

Date: 

November 1, 1988

Author(s):

Jack Christiansen

Publication:

Symposium Papers

Volume:

110

Abstract:

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.

DOI:

10.14359/3612


Document: 

SP110

Date: 

November 1, 1988

Author(s):

Editor: Jack Christiansen

Publication:

Symposium Papers

Volume:

110

Abstract:

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.

DOI:

10.14359/14143


Document: 

SP110-06

Date: 

November 1, 1988

Author(s):

Alex C. Scordelis

Publication:

Symposium Papers

Volume:

110

Abstract:

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.

DOI:

10.14359/2823


Document: 

SP110-04

Date: 

November 1, 1988

Author(s):

Alex C. Scordelis and Mark A. Ketchum

Publication:

Symposium Papers

Volume:

110

Abstract:

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.

DOI:

10.14359/2816


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