Abstract
This paper follows a recent paper in EXPERIMENTAL MECHANICS also dealing with optimization. The objectives besides the attempt at optimizations of the design of in-plane loaded tall beams are (1) to discuss the properties of some of the designs obtained, and (2) to compare and evaluate experimental and numerical methods. The optimal hole shape introduced in the beam decreases its weight, has an approximately uniform tangenital stress along its boundary and does not increase the maximum tensile stress present originally in the solid beam. The numerical method used is based on finite-element analysis and nonlinear programming. The experimental method is based on photoelasticity. Emphasis is placed on the results obtained rather than on the description of the methodologies. Practical difficulties, assumptions, accuracy, and the applicability of the two methods are also discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Conway, H.D., Chow, L. andMorgan, G.W., “Analysis of Deep Beams,”ASME J. Appl. Mech.,18 (2),163–172 (1951).
Durelli, A.J., “Discussion of Deep Beams,”ASME J. Appl. Mech.,18 (4),421–422 (1951).
Cardenas, A.E., Hanson, J.M., Corley, W.G. andHognestad, E., “Design Provisions for Shear Walls,”Proc. J. Amer. Concrete Inst.,70 (3),221–230 (1973).
Durelli, A. and Ranganayakamma, B., “Optimization Process in Tall Beams,” Experimental Mechanics,259–265 (1988).
Azarm, S., Bhandarkar, S. and Durelli, A., “On the Experimental vs. Numerical Shape Optimization of a Hole in a Tall Beam,” Advances in Design Automation, ed. S.S. Rao, ASME Publ., No. DE,14,257–264 (1988).
Juvinall, R.C., “Enineering Construction of Stress, Strain and Strength,”McGraw-Hill, New York (1967).
Haftka, R.T. andGrandhi, R.V., “Structural Shape Optimization — a Survey,”Computer Methods in Appl. Mech. and Eng.,57,91–106 (1986).
Fleury, C., “Computer Aided Optimal Design of Elastic Structures,”Computer Aided Optimal Design: Structural and Mechanical Systems, ed. C.A. Mota Soares, Springer Verlag, Berlin, 831–900 (1987).
PDA Engineering, “PATRAN-G user's Guide,” I&II (1984).
Durelli, A.J. and Riley, W.F., Introduction to Photomechanics, Prentice-Hall (1965).
Durelli, A.J. andRajaiah, K., “Lighter and Stronger,” EXPERIMENTAL MECHANICS,20 (11),369–380 (1980).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Durelli, A.J., Azarm, S. & Bhandarkar, S. Optimized hole shapes in a tall beam. Experimental Mechanics 29, 424–431 (1989). https://doi.org/10.1007/BF02323862
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02323862