TECHNICAL PAPERS
Aug 1, 1989

Biaxial Tension Stiffening due to Generally Oriented Reinforcing Layers

Publication: Journal of Engineering Mechanics
Volume 115, Issue 8

Abstract

Panel‐type concrete structures are generally reinforced with more than one layer of steel in different directions. The response of the panels under general states of in‐plane stress is a function of cracking and the degree‐of‐tension stiffening between the cracks. In this paper, a tension‐stiffening model, which accounts for multiple generally oriented reinforcing layers and cracks, is developed. The model is based on an equivalent reinforcing ratio normal to the crack, which maintains strain compatibility with the actual layers. An equivalent stress‐strain relation is developed for the equivalent layer. This relation is used in turn to develop the tension‐stiffening contribution across the crack. The model is implemented in a smeared‐crack concrete constitutive relation of the rotating‐crack type. This model is used within computer program FEPARCS to simulate the response of various panel specimens for which test results are available.

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References

1.
Balakrishnan, S., and Murray, D. W. (1986). “Finite element prediction of reinforced concrete behavior.” Structural Engineering Report No. 138, Univ. of Alberta, Edmonton, Alberta, Canada.
2.
Bažant, Z. P., and Oh, B. H. (1983). “Spacing of cracks in reinforced concrete.” J. Struct. Engrg., ASCE, 109(9), 2066–2085.
3.
Bulletin D'Information No. 158‐E. (1985). Comite Euro‐International du Beton, Lausanne, Switzerland.
4.
Collins, M. P., Vecchio, F., and Melhorn, G. (1985). “An international competition to predict the response of reinforced concrete panels.” Can. J. Civ. Engrg., 12(3), 626–644.
5.
Darwin, D., and Pecknold, D. A. (1977). “Nonlinear biaxial stress‐strain law for concrete.” J. Engrg. Mech., ASCE, 103(2), 229–241.
6.
Elwi, A. E., and Hrudey, T. M. (1989). “A finite element model for curved embedded reinforcement.” J. Engrg. Mech., ASCE, 115(4), 740–754.
7.
Elwi, A. E., and Murray, D. W. (1987). FEPARCS 6.1 User's Manual—Nonlinear Analysis of Axisymmetric or Plane Reinforced and/or Prestressed Concrete Structures. Dept. Civ. Engrg., Univ. of Alberta, Edmonton, Alberta, Canada.
8.
Phillips, D. V., Scanlon, A., and Green, D. R. (1987). “Control tests and analysis of skewed reinforced concrete panels.” Proc. Int. Conf. on Computational Plasticity, Barcelona, Spain, 1347–1360.
9.
Scanlon, A., and Murray, D. W. (1972). “An analysis to determine the effects of cracking in reinforced concrete slabs.” Proc. Specialty Conf. on Finite Element Method in Civil Engrg., McGill University, Montreal, Quebec, Canada, 841–868.
10.
Vecchio, F., and Collins, M. P. (1982). “The response of reinforced concrete to in‐plane shear and normal stresses.” Publ. No. 82‐03, Dept. of Civ. Engrg., Univ. of Toronto, Toronto, Ontario, Canada.
11.
Vecchio, F., and Collins, M. P. (1986). “The modified compression field theory for reinforced concrete elements subjected to shear.” J. Am. Concr. Inst., 83(2), 219–231.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 115Issue 8August 1989
Pages: 1647 - 1662

History

Published online: Aug 1, 1989
Published in print: Aug 1989

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Authors

Affiliations

Richard A. Link
Grad. Stud., Univ. of Alberta, Edmonton, Alberta, Canada, T6G 2G7
Alaa E. Elwi, Member, ASCE
Prof., Univ. of Alberta, Edmonton, Alberta, Canada
Andrew Scanlon, Member, ASCE
Prof., Pennsylvania State Univ., University Park, PA 16802

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