Load‐Deflection Curves For Elastic‐Softening Beams
Publication: Journal of Structural Engineering
Volume 110, Issue 10
Abstract
Softening, the decrease of bending moment capacity of a section at advanced curvature, may occur in a statically indeterminate reinforced concrete structure prior to the attainment of maximum load. Critical softening is that value of negative stiffness for a first formed hinge at which a structure cannot sustain increased load. The bending-moment versus softening parameter and load-deflection relationships for uniformly loaded fixed-end beams are derived, for sub-critical, critical and super-critical softening of first and second formed hinges. Corresponding load-deflection curves are presented, for particular values of hinge length and softening parameter.
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References
1.
Barnard, P. R., and Johnson, R. P., “Plastic Behaviour of Continuous Composite Beams,” Proceedings I.C.E. (London), Vol. 32, Oct., 1965, pp. 180–197.
2.
Corley, W. G., “Rotational Capacity of Reinforced Concrete Beams,” Journal of the Structural Division, ASCE, Vol. 92, No. ST5, Oct., 1966, pp. 121–126.
3.
Cranston, W. B., “Tests on Reinforced Concrete Frames; 1: Pinned Portal Frames,” Technical Report, TRA/392—Cement and Concrete Association, Aug 1965.
4.
Cranston, W. B., “A Computer Method for Inelastic Analysis of Plane Frames,” Technical Report, TRA/386—Cement and Concrete Association, Mar., 1965.
5.
Darvall, P. LeP., “Critical Softening of Hinges in Portal Frames,” Research Report 5/1982, Dept. of Civil Engineering, Monash, Univ., Australia.
6.
Darvall, P. LeP., “Critical Softening of Hinges in Indeterminate Beams and Portal Frames,” Civ. Engr. Trans. I.E. Aust., Vol. CE25, No. 3, 1983, pp. 199–1210.
7.
Darvall, P. LeP., “Critical Softening of Hinges in Portal Frames,” Journal of Structural Engineering, ASCE, Vol. 110, No. 1, Jan., 1984, pp. 157–162.
8.
Darvall, P. LeP., “Stiffness Matrix for Elastic‐Softening Beams,” paper submitted to ASCE, Dec., 1983.
9.
Nylander, H., and Sahlin, S., “Investigation of Continuous Concrete Beams at Far Advanced Compressive Strains in Concrete,” Betong, 1955, 40, (3), Translation No. 66, Cement and Concrete Association, London.
10.
Sawyer, H. A., “Design of Concrete Frames for Two Failure Stages,” Proceedings, International Symposium on the Flexural Mechanics of Reinforced Concrete, 1964. ACI SP‐12, Miami, Fla., 1965, pp. 405–431.
11.
Taylor, H. P. J., “The Behaviour of In‐situ Concrete Beam‐Column Joints,” Technical Report 42‐492,—Cement and Concrete Association, May, 1974.
12.
Wood, R. H., “Some Controverial and Curious Developments in the Plastic Theory of Structures,” Engineering Plasticihj, J. Heyman and F. A. Leckie, eds., Cambridge University Press, Cambridge, U.K., 1968, pp. 665–691.
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Published In
Journal of Structural Engineering
Volume 110 • Issue 10 • October 1984
Pages: 2536 - 2541
Copyright
Copyright © 1984 ASCE.
History
Published online: Oct 1, 1984
Published in print: Oct 1984
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