Engineering Transactions, 47, 2, pp. 117–134, 1999

Restrained Flexure of Brittle-Matrix Composite Structures

M. Janas
Polish Academy of Sciences
Poland

J. Sokół-Supel
Polish Academy of Sciences
Poland

Restrained flexure analysis concerns transversal bending of flat structures with in-plane displacements at supports prohibited or restricted. If the material characteristics are different in tension and in compression, these restraints generate important membrane forces (the arching action effect). It strengthens considerably the structure, but renders its response strongly nonlinear and unstable. In a recent introductory study the authors concluded that their old approximate analytical approach to restrained flexure of elastic-plastic beams and slabs gives qualitatively good results and may be useful to replace cumbersome numerical procedures. Here, a parametric study using an incremental FEM analysis is performed enabling the determination of input data needed for an elementary but reliable approximate approach. Different load and support configurations for beam systems are considered and the structure sensitivity to support compliance is studied. Numerical and approximate analytical results are compared with results of a series of collapse tests on elastically restrained RC beams.
Full Text: PDF

References

A.A. GVOZDEV, The. basis for the paragraph 33 of the reinforced concrete design code (in Russian), Stroitelnaya Promyshlennost, 17, 3, 51–58, 1939.

Instruction for the Design of Reinforced Concrete Hyperstatic Structures Undergoing Stress redistribution (in Russian), Gosstroyizdat, Moscow 1961.

M. JANAS, Kinematical compatibility problems in yield-line theory, Mag. Concrete Res., 19, 33–44, 1967.

R.H. WOOD, Plastic and elastic design of plates, Thames and Hudson, London 1961.

R.M. HAYTHORNTHWAITE, Beams with full end fixity, Engineering, 183, 110–112, 1957.

K.P. CHRISTIANSEN, The effect of membrane stresses on the ultimate strength of the interior panel of a reinforced concrete slab, The Structural Engineer, 41, 261–165, 1963.

R. PARK and W.R. GAMBLE, Reinforced concrete slabs, J. Wiley, New York 1980.

A. SAWCZUK and L. WINNICKI, Plastic behaviour of simply supported concrete plates at moderately large deflexions, Int.J. Solids Struct., 1, 97–111, 1965.

C.R. CALLADINE, Simple ideas in the large-deflection plastic theory of plates and slabs, Engineering Plasticity, 93–127, [Eds.] J. Heyman, F.A. Leckie, Cambridge Univ. Press, London 1968.

C.T. MORLEY, Yield-line theory for reinforced concrete slabs at moderately large deflections, Mag. Concrete Res, 19, 61, 211–222, 1967.

M. JANAS, Large plastic deformations of reinforced concrete slabs, Int. J. Solids Struct., 4, 61–74, 1968.

J.R. EYRE, Direct assessment of safe strength of RC slabs under membrane action, J. Struct. Engng., ASCE, 123, 1331–1338, 1997.

M. JANAS, Arching action in elastic-plastic plates, J. Structural Mechanics, 1, 277–293, 1973.

M. JANAS and J. SOKOL-SUPEL, Arching action revisited, Engineering Transactions, 43, 71–89, 1997.

Abaqus, Version 5.4, Hibbitt-Karlsson-Sorensen Inc. 1994.

A. RYDZEWSKI and W. SIBAK, Methods for RC plates design following the limit states methodology (in Polish), Contract Report for the Institute of Fundamental Technological Research, Politechnika Warszawska, Warsaw 1980.




Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland