Torsional Analysis Methods for Perforated Cores
Publication: Journal of Structural Engineering
Volume 112, Issue 6
Abstract
Several continuum methods for torsional analysis of slender perforated cores are described. First, the open section torsion‐bending theory, which neglects shear deformations, is described. It is then modified to consider shear deformations that become important with increasing lintel stiffness. To avoid the warping incompatibility, of the open section theory when applied to rigid lintel cores, a simple closed box torsion‐bending theory follows. Then an adaptation of the Umansky‐Benscoter theory is presented. Finally, the alternating closed box‐open section model is described. These methods are compared with experimental data, finite element analysis, and the wide column frame analogy. It is concluded that the Umansky‐Benscoter theory offers the most realistic modeling for relatively rigid lintel cores for which Bredt's formula becomes a simple alternative with increasing lintel stiffness. The open section theory, due to its simplicity, is adequate for more flexible systems.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Argyris, J. H., and Dunne, P. C., “The General Theory of Cylindrical and Conical Tubes under Torsion and Bending Loads,” Journal of the Royal Aeronautical Society, Vol. 51, 1947, pp. 199–269, 757–784, 884–930,
Vol. 53, 1951, pp. 461–483, 558–620.
2.
Benscoter, S. V., “Secondary Stresses in Thin‐Walled Beams with Closed Cross‐Sections,” NACA‐JN 2529, Washington, D.C., 1951.
3.
Benscoter, S. V., “A Theory of Torsion Bending of Multicell Beams,” Journal of Applied Mechanics, Vol. 21, No. 1, Mar., 1954, pp. 25–34.
4.
Dabrowski, R., “The Torsion of Thin Wall Bridges and Hydraulic Structures with Closed Cross Section,” Rozprawy Inzvnierskie, Vol. 10, 1958, pp. 281–345 (in Polish).
5.
Dabrowski, R., discussion of“Beitrag zur Theorie der Kastentrager Beliebiger Querschnitts Form,” Der Stahlbau, Vol. 31, No. 4, 1962, p. 128.
6.
Danay, A., “A General Element for Analysis of Asymmetric Multistory Buildings with Varying Cross Section,” Building and Environment, Vol. 11, 1976, pp. 57–67.
7.
Gluck, J., and Krauss, M., “Stress Analysis of Group of Interconnected Thin‐Walled Cantilevers,” Journal of the Structural Division, ASCE, Vol. 99, ST10, 1973, pp. 2143–2165.
8.
Goodno, B. J., and Gere, J. M., “Analysis of Shear Core Using Super Elements,” Journal of the Structural Division, ASCE, Vol. 102, ST1, 1976, pp. 267–283.
9.
Heidebrecht, A. C., and Stafford Smith, B., “Approximate Analysis of Open Section Shear Walls Subject to Torsional Loading,” Journal of the Structural Division, ASCE, Vol. 99, ST12, 1973, pp. 2355–2373.
10.
Heilig, R., “Beitrag zur Theorie der Kastentrager Beliebiger Querschnitts Form,” Der Stahlbau, Vol. 30, No. 11, 1961, pp. 333–349.
11.
Jenkins, W. M., and Harrison, T., “Analysis of Tall Buildings with Shear Walls under Bending and Torsion,” Symposium on Tall Buildings, Univ. of Southampton, Apr., 1966, pp. 413–449.
12.
Kanchi, M. B., and Dar, G. Q., “Torsion of Rectangular Shear Cores of Tall Buildings,” Bulletin of the Indian Society of Earthquake Technology, Vol. 10, No. 3, 1973, pp. 100–112.
13.
Karman, T. von, and Chien, W. E., “Torsion with Variable Twist,” Journal of the Aeronautical Sciences, Vol. 13, No. 10, 1946, pp. 503–510.
14.
Khan, M. A. H., and Stafford Smith, B., “Restraining Action of Bracing in Thin Walled Open Section Beams,” Proceedings of the Institution of Civil Engineers, Vol. 59, Part 2, 1975, pp. 67–78.
15.
Kolbrunner, C. F., and Basler, K., Torsion in Structures, Springer, Berlin, 1966.
16.
Liauw, T. C., and Leung, U. W., “Torsion Analysis of Core Wall Structures by Transfer Matrix Method,” The Structural Engineer, Vol. 53, No. 4, 1975, pp. 187–194.
17.
Liauw, T. C., and Luk, W. K., “Torsion of Core Walls of Nonuniform Section,” Journal of the Structural Division, ASCE, Vol. 106, ST9, 1980, pp. 1921–1931.
18.
MacLeod, I. A., and Hosny, H. M., “Frame Analysis of Shear Wall Cores,” Journal of the Structural Division, ASCE, Vol. 103, ST10, 1977, pp. 2037–2047.
19.
Mallick, D. V., and Dungar, R., “Dynamic Characteristics of Core Wall Structures Subjected to Torsion and Bending,” The Structural Engineer, Vol. 55, No. 6, 1977, pp. 251–261.
20.
Michael, D., “The Effect of Local Wall Deformations on the Elastic Interaction of Cross Walls Coupled by Beams,” Symposium on Tall Buildings, Univ. of Southampton, Apr., 1966, pp. 253–272.
21.
Oden, J. T., Mechanics of Elastic Structures, McGraw‐Hill, New York, 1967.
22.
Park, R., and Paulay, T., Reinforced Concrete Structures, Wiley, New York, 1975.
23.
Prasad, S. N., and Chiu, P. K., “Elasticity Solution of Deep Beam under Settlement of Supports,” Journal of Applied Mechanics, ASME, Vol. 46, Dec., 1976, pp. 613–618.
24.
Rosman, R., “Torsion of Perforated Concrete Shafts,” Journal of the Structural Division, ASCE, Vol. 95, No. ST5, 1969, pp. 991–1010.
25.
Rutenberg, A., “Analysis of Tube Structures Using Plane Frame Programs,” Proceedings of National/Regional Conference on Tall Buildings, Asian Institute of Technology, Bangkok, Jan., 1974, pp. 397–413.
26.
Rutenberg, A., The Computer in the Service of the Structural Engineer: Applications of Plane Frame Programs to the Analysis of Tall Buildings, Building Research Station, Technion, Israel Institute of Technology, Haifa, 1978 (in Hebrew).
27.
Rutenberg, A., and Eisenberger, M., “Torsion of Tube Structures: Planar Formulation,” Computers and Structures, Vol. 17, 1983, pp. 257–260.
28.
Rutenberg, A., and Tso, W. K., “Torsional Analysis of Perforated Core Structures,” Journal of the Structural Division, ASCE, Vol. 101, No. ST3, 1975, pp. 539–550.
29.
Rutenberg, A., and Tso, W. K., “Torsion of Perforated Core Structures,” Proceedings of the 5th Canadian Congress of Applied Mechanics, Fredericton, May, 1975, pp. 15–16.
30.
Shtarkman, M., “Torsion of Perforated Cores in Tall Buildings: A Survey of Analytical Methods,” final paper, presented to the Faculty of Civil Engineering, Technion‐Israel Institute of Technology, Haifa, 1981, in Hebrew, in partial fulfillment of the requirements for the degree of Master of Science.
31.
Stafford Smith, B., and Abate, A., “Analysis of Non‐Planar Shear Wall Assemblies by Analogous Frame,” Proceedings, Institution of Civil Engineers, Vol. 71, Part 2, 1981, pp. 395–406.
32.
Stafford Smith, B., and Girgis, A., “The Torsion Analysis of Tall Building Cores Partially Closed by Beams,” Proceedings, Symposium on Behavior of Building Systems and Building Components Vanderbilt Univ., Mar., 1979, Nashville, Tenn.
33.
Stafford Smith, B., and Taranath, B. S., “Analysis of Tall Core‐Supported Structures Subjected to Torsion,” Proceedings of the Institution of Civil Engineers, Vol. 53, Part 2, Sept., 1972, pp. 173–188.
34.
Tso, W. K., and Biswas, J. K., “Analysis of Core Wall Structures Subjected to Applied Torque,” Building Science, Vol. 8, 1973, pp. 251–257.
35.
Umansky, A. A., “Torsion and Bending in Thin‐Walled Flight Structures,” Oborongiz, Moscow, 1939 (in Russian).
36.
Vlasov, V. Z., Thin Walled Elastic Beams, translated for the Russian‐Israeli Program for Scientific Translation, Jerusalem, Israel, 1961.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 112 • Issue 6 • June 1986
Pages: 1207 - 1227
Copyright
Copyright © 1986 ASCE.
History
Published online: Jun 1, 1986
Published in print: Jun 1986
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.