Development of a Computer Aided Beam Deflection Analysis (CABDA) Program for Simply Supported Loaded Beams

Abstract:

Beam-like members such as shafts, levers, frame components, beam structures, etc. are regularly designed and constructed in the field of mechanical and civil engineering. It is pertinent to know the structural integrity of the design before construction or fabrication. Beam deflection and stress calculations can be cumbersome and results from commercial simulation packages are not devoid of truncation and/or round-off errors because they are based on numerical schemes. To reduce or eliminate these issues, a computational tool, CABDA, has been designed and developed on matlab. The algorithm is based on analytic equations of beam deflection and bending stress theories; a design flow chart and graphic user interface were done to implement the algorithm. Experiments and simulations have been carried out for steel and brass rectangular beams which were compared with results obtained from CABDA for the same beam model. Average deflection errors recorded for steel beam are-0.4 and-0.015; for brass beam are-0.69 and-0.1 for experiment and simulation respectively. Average bending stress error recorded is-0.19 for simulation. It is observable that simulation results compare closely but CABDA gives exact results and therefore is very appropriate for simple beam problems.

• Periodical: International Journal of Engineering Research in Africa (Volume 30)
• Pages: 23-38
• DOI: https://doi.org/10.4028/www.scientific.net/JERA.30.23
• Online since: May 2017
• Authors: Osezua Obehi Ibhadode*, Ishaya Musa Dagwa, Jude Odianosen Asibor, Eghosa Omo-Oghogho
• Keywords: Analysis, Beam, Computer Aided, Deflection, Program, Simply Supported, Varying Distributed Load

References

[1] S. P. Timoshenko, Strength of Materials - Part 2, Advanced Theory and Problems, 2nd ed., London: D. Van Nostrand Company, Inc., 1940, pp.1-5.

[2] W. D. Whitney and B. E. Smith, A Century Dictionary and Cyclopedia, vol. 1, New York: Century Co., 1948, p.487.

[3] J. Case, L. Chilver and C. T. Ross, Strength of Materials and Structures, London: Arnold Publishers, 1999, pp.295-338.

[4] Gere, J. M. Goodno and J. Barry, Mechanics of Materials, 2013, pp.1083-1087.

[5] V. S. Hillsman and M. M. Tomovic, Beam Deflections via Computer Algebra Systems, in Proceedings of the Frontiers in Education Conference, Atlanta, (1995).

DOI: 10.1109/fie.1995.483196

[6] S. S. Yong, Development of educational software for beam loading analysis using pen-based user interfaces, Journal of Computational Design and Engineering, vol. 1, no. 1, pp.67-77, (2014).

DOI: 10.7315/jcde.2014.007

[7] W. Tzong-Mou, Computer-aided Deflection and Slope Analyses of Beams, Journal of Applied Sciences, pp.333-339, (2006).

[8] K. M. Dempsey, J. J. Kane and J. P. Kurtz, Beamtool: Interactive beam analysis for today's student and tomorrow's engineer, Computer Applications in Engineering Education, vol. 13, no. 4, pp.293-305, (2005).

DOI: 10.1002/cae.20054

[9] S. F. Barretto , R. Piazzalunga and V. G. Ribeiro, A web-based 2d structural analysis educational software, Computer Applications in Engineering Education, vol. 11, no. 2, pp.83-92, (2003).

DOI: 10.1002/cae.10040

[10] H. Kishan, Joshi and M. P. Chetankumar, Development of analytical method to determine the deflection of tapered cantilever beam with inclined loading condition using software simulation, in Proceedings of International Conference on ICT for Sustainable Development (ICT4SD), (2015).

DOI: 10.1007/978-981-10-0135-2_27

[11] K. C. Gramoll, GT Beam - Interactive Beam Program for Engineering Education, Computer Applications in Engineering Education, vol. 1, no. 6, pp.469-476, (1993).

DOI: 10.1002/cae.6180010603

[12] W. Devenport, R. Kappania, K. Rojiani and K. Singh, EngAPPLETS, Virginia Tech., [Online]. Available: http: /www. engapplets. vt. edu. [Accessed 18 April 2016].

[13] G. H. Ryder, Strength of Materials, London: Macmillian, 1969, pp.86-177.

[14] S. Timoshenko, Strength of Materials; Part 1, Elementary Theory and Problems, New York: D. Van Nostrand Company, Inc., 1940, pp.134-137.

[15] School of Engineering, University of Connecticut, Development of ANSYS Training Modules for Application to Advanced Thermal and Structural Design, 2016. [Online]. Available: www. engr. uconn. edu/~cassenti/AnsysTutorial. [Accessed 26 06 2016].

[16] T. E. Toolbox, Area Moment of Inertia, July 2016. [Online]. Available: http: /www. engineeringtoolbox. com/area-moment-inertia-d_1328. html. [Accessed 20 July 2016].