Model for Assessment of Cracked Reinforced Concrete Membrane Elements Subjected to Shear and Axial Loads

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Title: Model for Assessment of Cracked Reinforced Concrete Membrane Elements Subjected to Shear and Axial Loads

Author(s): Paolo M. Calvi, Evan C. Bentz, and Michael P. Collins

Publication: Structural Journal

Volume: 115

Issue: 2

Appears on pages(s): 501-509

Keywords: crack behavior; nonlinear response; reinforced concrete; reserve capacity; shear strength; structural assessment

DOI: 10.14359/51701093

Date: 3/1/2018

Abstract:
A conceptual model is presented for assessing the state of health of cracked reinforced concrete (RC) structures. The model consists of a crack based approach that links crack displacement measurements acquired on site to the structure’s strain state and stress state, and allows for the determination of the structure’s reserve capacity. The model is entirely formulated in terms of equilibrium, compatibility, and stress-strain relationships, and can be used to effectively assess the reserve capacity of RC membrane elements subjected to arbitrary in-plane loads.

Related References:

1. Vecchio, F. J., and Collins, M. P., “The Modified Compression Field Theory for Reinforced Concrete Elements Subjected to Shear,” ACI Journal Proceedings, V. 83, No. 2, Mar.-Apr. 1986, pp. 219-231.

2. Vecchio, F. J., “Disturbed Stress Field Model for Reinforced Concrete: Formulation,” Journal of Structural Engineering, ASCE, V. 126, No. 9, 2000, pp. 1070-1077. doi: 10.1061/(ASCE)0733-9445(2000)126:9(1070)

3. Bentz, E. C., Membrane-2012, http://www.ecf.utoronto.ca/~bentz/m2k.htm

4. Bentz, E. C., Response-2012, http://www.ecf.utoronto.ca/~bentz/r2k.htm

5. Vecchio, F. J., Formworks, VecTor2 & Augustus Bundle (Ver. 3.5)

6. Higgins, C.; Miller, T. H.; Rosowsky, D. V.; Yim, S. C.; Potisuk, T.; Daniels, T. K.; Nicholas, B. S.; Robelo, M. J.; Lee, A. Y.; and Forrest R. W., “Assessment Methodology for Diagonally Cracked Reinforced Concrete Deck Girders,” Final Report SPR 350/SR 500-091, Oregon Dept. of Transportation Research Unit and Federal Highway Administration, Oct. 2004, 357 pp.

7. Johnson, P. M.; Couture, A.; and Nicolet, R., “Report of the Commission of Inquiry into the Collapse of a Portion of the de la Concorde Overpass,” Quebec, Canada, 2007, 222 pp.

8. Dutton, M.; Take, W.; and Hoult, N., “Curvature Monitoring of Beams Using Digital Image Correlation,” Journal of Bridge Engineering, ASCE, V. 19, No. 3, 2014, p. 05013001 doi: 10.1061/(ASCE)BE.1943-5592.0000538

9. Calvi, P. M.; Bentz, E. C.; and Collins, M. P., “Reversed Cyclic Experiments on Shear Stress Transfer across Cracks in Reinforced Concrete Elements,” ACI Structural Journal, V. 113, No. 4, July-Aug. 2016, pp. 851-859. doi: 10.14359/51688926

10. Calvi, P. M.; Bentz, E. C.; and Collins, M. P., “Pure Mechanics Crack Model for Shear Stress Transfer in Cracked Reinforced Concrete,” ACI Structural Journal, V. 114, No. 2, Mar.-Apr. 2017, pp. 545-554. doi: 10.14359/51689460

11. Calvi, P. M., “A Theory for the Shear Behaviour of Cracks Providing the Basis for the Assessment of Cracked Reinforced Concrete Structures,” PhD dissertation, Department of Civil Engineering, University of Toronto, Toronto, ON, Canada, 2015, 367 pp.

12. Sherwood, E. G.; Bentz, E. C.; and Collins, M. P., “Effect of Aggregate Size on Beam-Shear Strength of Thick Slabs,” ACI Structural Journal, V. 104, No. 2, Mar.-Apr. 2007, pp. 180-190.

13. Maekawa, K.; Pimanmas, A.; and Okamura, H., Nonlinear Mechanics of Reinforced Concrete, Spon Press, London, UK, 2003.

14. Proestos, G. T.; Bae, G.-M.; Cho, J.-Y.; Bentz, E. C.; and Collins, M. P., “Influence of High-Strength Bars on Shear Response of Containment Walls,” ACI Structural Journal, V. 113, No. 5, Sept.-Oct. 2016, pp. 917-927. doi: 10.14359/51688750


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