TECHNICAL PAPERS
May 1, 1987

Optimization of Prestressed Concrete Flat Plates

Publication: Journal of Structural Engineering
Volume 113, Issue 5

Abstract

Mathematical programming techniques are used for the solution of a comprehensive optimal design problem formulation. The formulation, based on American codes of practice, includes constraints related to service, ultimate, and collapse limit states, as well as relevant technological constraints. Solutions to the nonlinear programming problem are obtained with an appropriate computer program, OPTIMAL. This is used for solving a wide range of typical flat plate designs with varying span‐to‐depth ratios, live loads, cable layouts, limit states, and allowable tension stresses. A related sensitivity study enables the comparison of optimal and standard solutions based on the following parameters: (1) Rate of equivalent prestressing and total external load; (2) average concrete stress in compression; (3) active design constraints; (4) material costs; (5) dead to total external load ratio; (6) reinforcement index; and (7) partial prestressing ratio. Some areas of possible improvement of current standard procedures are identified.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Abeles, P. W., “Design of Partially Prestressed Concrete Beams,” ACI Journal, Vol. 64, No. 10, Oct., 1967, pp. 669–677.
2.
ADOSS—Analysis and Design of Slab Systems, Program User's Manual, Canadian metric ed., Canadian Portland Cement Association, Ottawa, Ontario, Canada, 1981, 121 pp.
3.
Allen, F., and Darvall, P., “Lateral Load Equivalent Frame,” ACI journal, Vol. 74, No. 7, Jul., 1977, pp. 294–299.
4.
Best, M. J., “FCDPAK. A Fortran IV Subroutine to Solve Differentiable Mathematical Programmes, User's Guide,” Level 3.1, Research Report CORR 75‐24, Combinatorics and Optimization Department, University of Waterloo, Waterloo, Ontario, 1973, 85 pp.
5.
Best, M., “A Feasible Conjugate‐Direction Method to Solve Linearly Constrained Minimization Problems,” Journal of Optimization theory and Applications, Vol. 16, Nos. 1/2, 1975, pp. 25–38.
6.
Bruggeling, A. S. G., “Partially Prestressed Concrete: A Challenge for Concrete Designers,” International Symposium on Nonlinearity and Continuity in Prestressed Concrete, University of Waterloo, Waterloo, Ontario, Jul. 4–6, 1983, Preliminary Publication, Appendix, pp. 1–39.
7.
Burns, N. H., and Hemakom, R., “Test of Scale Model Post‐Tensioned Flat Plate,” Journal of the Structural Division, ASCE, Vol. 103, No. 6, Jun., 1977, pp. 1237–1255.
8.
Burns, N. H., Charney, F. A., and Vines, W. R., “Tests of One‐Way Post‐Tensioned Slabs with Unbonded Tendons,” PCI Journal, Vol. 23, No. 5, Sep.–Oct., 1978, pp. 66–83.
9.
Burns, N., “Nonlinear Behaviour and Analysis of Post‐Tensioned Concrete Slabs,” International Symposium on Nonlinearity and Continuity in Prestressed Concrete, University of Waterloo, Waterloo, Ontario, Jul. 4–6, 1983, Preliminary Publication, Vol. 2, pp. 205–228.
10.
Code for the Design of Concrete Structures for Buildings (CAN3‐A23.3‐M77), Canadian Standards Association, Rexdale, Ontario, Canada, 1977, 131 pp.
11.
Cohn, M. Z., and Bartlett, M., “Nonlinear Flexural Response of Partially Prestressed Concrete Sections,” SM Paper No. 168, Solid Mechanics Division, University of Waterloo, Waterloo, Ontario, Oct., 1981, 55 pp.
also Journal of the Structural Division, ASCE, Vol. 108, No. 12, Dec., 1982, pp. 2747–2764.
12.
Cohn, M. Z., and MacRae, A. J., “Prestressing Optimization and Design Practice,” International Symposium on Nonlinearity and Continuity in Prestressed Concrete, University of Waterloo, Waterloo, Ontario, Jul. 4–6, 1983, Preliminary Publication, Vol. 1, pp. 171–194;
also PCI Journal, Vol. 29, No. 4, Jul.–Aug., 1984, pp. 68–83.
13.
Dansk Ingeniorforening, Danish Engineering Code of Practice for the Structural Use of Concrete (DS‐411), 1973, translated into English in 1976, 63 pp.
14.
Johansen, K. W., Yield‐Line Formulae for Slabs, Cement and Concrete Association, London, England, 1972, 106 pp.
15.
Lin, T. Y., and Burns, N. H., Design of Prestressed Concrete Structures, 3rd ed., John Wiley and Sons, Inc., New York, N.Y., 1981, 646 pp.
16.
MacRae, A. J., “Optimal Design of Prestressed Concrete Flat Plates,” thesis presented to the University of Waterloo, at Waterloo, Ontario, Canada, in 1985, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
17.
Naaman, A. E., Prestressed Concrete Analysis and Design Fundamentals, McGraw‐Hill, New York, N.Y., 1982, 670 pp.
18.
“Tentative Recommendations for Prestressed Concrete Flat Plates,” ACI Journal, ACI‐ASCE Committee 423, Vol. 71, No. 2, Feb., 1974, pp. 61–71.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 113Issue 5May 1987
Pages: 943 - 957

History

Published online: May 1, 1987
Published in print: May 1987

Permissions

Request permissions for this article.

Authors

Affiliations

A. J. MacRae
Struct. Engr., Hatch Assoc. Ltd., Toronto, Ontario, Canada
M. Z. Cohn
Prof., Dept. of Civ. Engrg., Univ. of Waterloo, Waterloo, Ontario, Canada

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share