TECHNICAL PAPERS
May 15, 2002

Creep and Shrinkage Effect on Reinforced Concrete Slab-and-Beam Structures

Publication: Journal of Engineering Mechanics
Volume 128, Issue 6

Abstract

In this paper a solution to the bending problem of reinforced concrete slab-and-beam structures including creep and shrinkage effect is presented. The adopted model takes into account the resulting in-plane forces and deformations of the plate as well as the axial forces and deformations of the beam, due to combined response of the system. The analysis consists of isolating the beams from the plate by sections parallel to the lower outer surface of the plate. The forces at the interface, which produce lateral deflection and in-plane deformation to the plate and lateral deflection and axial deformation to the beam, are established using continuity conditions at the interface. The influence of creep and shrinkage effect relative to the time of the casting and the time of the loading of the plate and the beams is taken into account. The solution of the arising plate and beam problems, which are nonlinearly coupled, is achieved using the analog equation method. The adopted model, compared with those ignoring the in-plane forces and deformations, describes better the actual response of the plate–beams system and permits the evaluation of the shear forces at the interfaces, the knowledge of which is very important in the design of prefabricated ribbed plates. The resulting deflections are considerably smaller than those obtained by other models.

Get full access to this article

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

References

Cedrus-3 user’s references manual, version 1.56. (1995). Cubas A. G., Zürich, Switzerland.
Cheung, Y. K.(1968). “Finite strip method in analysis of elastic plates with two opposite sides simply supported ends.” Proc. Inst. of Civ. Eng. Struct. Build., 40, 1–7.
Cheung, M. S., Akhras, G., and Li, W.(1994). “Combined boundary element/finite strip analysis of bridges.” J. Struct. Eng., 120(13), 716–727.
Cornelius, W.(1952). “Die Berechnung der Ebener Flächentragwerke mit Hilfe der theorie der orthogonal anisotropen platten.” Stahlbau., 2, 21–26.
Eurocode 2 Editorial Group. (1991). “Design of concrete structures, part 1: General rules and rules for buildings.” Eurocode No. 2, Brussels.
Guyon, Y.(1946). “Calcul des ponts larges a poutres multiples solidarisées por les entretoises.” Ann. Ponts Chaussees, 116(5), 553–612.
Hu, C., and Hartley, G. A.(1994). “Elastic analysis of thin plates with beam supports.” Eng. Anal. Boundary Elem., 13, 229–238.
Huber, M. T.(1923). “Die theorie des Kreuzweise Bewehrten Eisenbetonplatten.” Bauingenieur, 4, 354–392.
Katsikadelis, J. T. (1994). “The analog equation method-a powerful BEM-based solution technique for solving linear and nonlinear engineering problems.” Boundary element method XVI, Computational Mechanics Publications, Springer Verlag, Berlin, 167–182.
Katsikadelis, J. T., and Kandilas, C. B. (1994). “Solving the elastostatic problem by the analog equation method.” Adv. Computational Mech., Civil-Comp. Ltd., Edinburgh, 178–269.
Katsikadelis, J. T., and Nerantzaki, M. S.(1994). “Nonlinear analysis of plates by the analog equation method.” Comput. Mech., 14, 154–164.
King, I. P., and Zienkienwicz, O. C.(1968). “Slab bridges with arbitrary shape and support conditions: A general method of analysis based on finite element method.” Proc. Inst. Civ. Eng., Struct. Build., 40, 9–36.
Kukreti, A. R., and Cheraghi, E.(1993). “Analysis procedure for stiffened plate systems using an energy approach.” Comput. Struct., 46(4), 649–657.
Kukreti, A. R., and Rajapaksa, Y.(1990). “Analysis procedure for ribbed and grid plate systems used for bridge decks.” J. Struct. Eng., 116(2), 372–391.
Massonet, C. (1950). “Method of calculations for bridges with several longitudinal beams taking into account their torsional resistance.” Int. Assn. Bridges Struct. Eng., 147–182.
Nerantzaki, M. S. (1994). “Solving plate bending problems by the analog equation method.” Boundary Element Method XVI, Computational Mechanics Publications, Springer Verlag, Berlin, 283–291.
Nerantzaki, M. S., and Katsikadelis, J. T.(1996). “Buckling of plates with variable thickness–an analog equation solution.” Eng. Anal. Boundary Elem., 18, 149–154.
Ng, S. F., Cheung, M. S., and Xu, T.(1990). “A combined boundary element and finite element solution of slab and slab-on-girder bridges.” Comput. Struct., 37, 1069–1075.
de Paiva, J. B.(1996). “Boundary element formulation of building slabs.” Eng. Anal. Boundary Elem., 17, 105–110.
Pama, R. P., and Cusens, A. R.(1967). “Edge beam stiffening of multibeam bridges.” J. Struct. Div., ASCE, 93(ST2), 141–161.
Powell, G. H., and Ogden, D. W.(1969). “Analysis of orthotropic steel plate bridge decks.” J. Struct. Div., ASCE, 95(ST5), 909–921.
Sapountzakis, E. J., and Katsikadelis, J. T.(2000). “Analysis of plates reinforced with beams.” Comput. Mech., 26, 66–74.
Tanaka, M., and Bercin, A. N. (1997). “A boundary element method applied to the elastic bending problem of stiffened plates.” Boundary element method XIX, Computational Mechanics Publications, Springer Verlag, Berlin, 203–212.
Trost, H., and Wolff, J.(1970). “Zur wirklichkeitsnahen ermittlung der beanspruchungen in abschnittsweise hergestellten spannbetontragwerken.” Bauingenieur., 45, 155–169.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 128Issue 6June 2002
Pages: 625 - 634

History

Received: May 18, 2001
Accepted: Oct 8, 2001
Published online: May 15, 2002
Published in print: Jun 2002

Permissions

Request permissions for this article.

Authors

Affiliations

E. J. Sapountzakis, M.ASCE
Lecturer, Dept. of Civil Engineering, National Technical Univ. of Athens, GR-15773 Athens, Greece.
J. T. Katsikadelis
Professor, Institute of Structural Analysis, National Technical Univ., Zografou Campus, GR-157 73 Athens, Greece.

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