FEM and Analytical Solutions for Buckling of Nonlinear Masonry Members
Publication: Journal of Structural Engineering
Volume 123, Issue 1
Abstract
The numerical analysis of slender cracked and uncracked masonry members—including nonlinear stress-strain relationship, self-weight, and vertical and lateral concentrated and distributed loads—is carried out. Analytical solutions of the stability problem are also provided for large cracked members (large eccentricity in each cross section) by neglecting the self-weight. A finite-element method (FEM) approach, using the Galerkin weighted residuals approach, is developed to study the stability problem for any stress-strain relationship and any load condition of the masonry member. The reliability and the convergence of the proposed nonlinear FEM is evaluated by the comparison of the solutions with available analytical ones and with those obtained by means of another numerical technique. It is shown that the self-weight has a stabilizing effect for large eccentricities of the vertical load, but an unstabilizing effect for small eccentricities. The unstabilizing effect is more marked for nonlinear stress-strain relationships. Dimensionless graphs allowing the resolution of similar practical problems are reported.
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References
1.
Ahmad, S., Mital, V. P., and Abbas, H.(1987). “Discussion of `Mechanics of masonry in compression,' by W. S. McNary and D. P. Abrams.”J. Struct. Engrg., ASCE, 113(1), 190–194.
2.
Angervo, K. (1954). “Ueber die knickung und tragfahigkeit eines excentrisch gedrueckten pfeilers.”Staatliche Tecnische Forschungsanstalt, Publ. 26, Helsinki, Finland.
3.
Frish-Fay, R.(1975). “Stability of masonry piers.”Int. J. Solids Struct., 11(2), 187–198.
4.
Frish-Fay, R.(1980). “Buckling of masonry pier under its own weight.”Int. J. Solids Struct., 16(5), 445–450.
5.
Ganduscio, S., and Zingone, G.(1993). “Analisi sismica delle murature snelle con legge costitutiva non lineare in presenza di distorsioni.”Ingegneria Sismica, Bologna, Italy, 10(1), 93–101.
6.
Hellers, B. G. (1967). “Eccentrically compressed columns without tensile strength subjected to uniformly distributed lateral loads.”Rep. 35/67, Nat. Swedish Inst. for Bldg. Res., Stockholm, Sweden.
7.
La Mendola, L., and Papia, M.(1993). “Stability of masonry piers under their own weight and eccentric load.”J. Struct. Engrg., ASCE, 119(6), 1678–1693.
8.
La Mendola, L., Papia, M., and Zingone, G.(1995). “Stability of masonry walls subjected to seismic transverse forces.”J. Struct. Engrg., ASCE, 121(11), 1581–1587.
9.
McNary, W. S., and Abrams, D. P.(1985). “Mechanics of masonry in compression.”J. Struct. Engrg., ASCE, 111(4), 857–870.
10.
Naraine, K., and Sinha, S. (1989). “Behavior of brick masonry under cyclic compressive loading.”J. Constr. Engrg. and Mgmt., ASCE, 115(2): 1432–1445.
11.
Payne, D. C., Brooks, D. S., and Sved, G.(1990). “The analysis and design of slender brick walls.”Masonry Int., British Masonry Soc., Penkhull, U.K., 4(2), 55–65.
12.
Romano, F., Ganduscio, S., and Zingone, G.(1992). “Stability of masonry with nonlinear stress-strain relationship.”Masonry Int., Penkhull, U.K., 6(2), 69–74.
13.
Romano, F., Ganduscio, S., and Zingone, G.(1993). “Cracked nonlinear masonry stability under vertical and lateral loads.”J. Struct. Engrg., ASCE, 119(1), 69–87.
14.
Sahlin, S.(1961). “Transversely loaded compression members made of materials having no tensile strength.”Publ. IABSE, 21, 243–253.
15.
Sahlin, S. (1971). Structural masonry. Prentice-Hall, Inc., Englewood Cliffs, N.J.
16.
Sinha, B. P., and De Vekey, R. C.(1990). “A study of the compressive strength in three ortogonal directions of brickwork prisms built with perforated bricks.”Masonry Int., Penkhull, U.K., 3(3), 105–110.
17.
Taylor, N.(1991). “Moment-thrust limit state properties of masonry.”Masonry Int., Penkhull, U.K., 5(2), 55–58.
18.
Tesfaye, E., and Broome, T. H.(1977). “Effect of weight on stability of masonry walls.”J. Struct. Div., ASCE, 103(50), 961–970.
19.
Yokel, F. Y.(1971). “Stability and load capacity of members with no tensile strength.”J. Struct. Div., ASCE, 97(7), 1913–1926.
20.
Zingone, G., Failla, A., Puleri, G., and Romano, F. (1990). “Cyclic behavior of calcarenite block masonry panels.”Proc., 1st Int. Conf. on Seismology and Earthquake Engrg., Int. Inst. of Earthquake Engrg. and Seismology, Tehran, Iran, 311–319.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Jan 1, 1997
Published in print: Jan 1997
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