Engineering Transactions, 45, 1, pp. 71–89, 1997

Arching Action Revisited

M. Janas
Polish Academy of Sciences

J. Sokół-Supel
Polish Academy of Sciences
Poland

J. Supel
Polish Academy of Sciences
Poland

Reinforced concrete and elastic-tensionless strips transversally loaded and restrained against longitudinal displacements at supports are considered. The support restraints induce important axial forces and that results in a highly nonlinear and unstable character of the structure response. A commercial FEM code is used and the results are compared with those obtained from an approximate approach based upon the post-yield methodology, proposed years ago by the authors. The latter approach neglects elastic flexural deformations but accounts for axial compliance of the system and furnishes simple analytical expressions for the load vs. displacement relations. It appears from the FEM analysis that the flexural compliance has a negligible impact on the peak-load behaviour. The approximate approach gives satisfactory results, when compliance moduli for the structure and for restraining walls are appropriately chosen. Benchmark cases considered allowed for a proposition concerning determination of these moduli.
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References

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

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

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

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

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

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

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

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

A. JACOBSON, Membrane-flexural failure modes of restrained slabs, J. Struct. Div. ASCE, 93, 85-112, 1967.

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

E.H. ROBERTS, Load-carrying capacity of slab-strips restrained against longitudinal expansion, Concrete, 3, 369-378, 1969.

S.S.J. MOY and B. MAYFIELD, Load-deflection characteristics of rectangular reinforced concrete slabs, Mag. Concrete Res., 24, 209-218, 1972.

M. JANAS, Arching action in elastic-plastic plates, J. Struct. Mech., 1, 277-293, 1973.

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

H.B. BONDOK, M. JANAS and A. SIEMASZKO, A numerical program for post-yield and inadaptation analysis of space skeletal structures, Proc. Polish. Conf. Computational, Mechanics, 129-137, W. GILEWSKI [Ed.], Publ. Politech. Świętokrzyska, Kielce 1993.

M.W. BRAESTRUP, Dome effect in RC slabs: rigid-plastic analysis, J. Struct. Div. ASCE, 106, 1237-1253, 1980.

M.K. DUSZEK and A. SAWCZUK, Stable and unstable states of rigid-plastic frames at the yield-point load, J. Struct. Mech., 4, 33-47, 1976.

A. SIEMASZKO and J.A. KOENIG, Analysis of stability of incremental collapse of skeletal structures, J. Struct. Mech., 13, 301-321, 1985.

M.W. BRAESTRUP and C.T. MORLEY, Dome effect in reinforced concrete slabs: elastic-plastic analysis, J. Struct. Div. Proc. ASCE, 106, 1255, 1980.

J.S. KUANG and C.T. MORLEY, A plasticity model for punching shear of laterally restrained slabs with compressive membrane action, Int. J. Mech. Sci, 35, 371-385, 1993.

M. JANAS, Snap-through in RC beams under transversal loads [in Polish], IFTR Reports, Nr. 32, 1975.




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