Software for Stresses and Mohr’s Circle Computation, Transformation and Sensitivity Analysis

Okonkwo Ugochukwu C.; Onokwai Anthony O.; Onokpite Ejiroghene

doi:https://doi.org/10.14445/22315381/IJETT-V28P224

Research Article | Open Access | Download PDF

Volume 28 | Number 1 | Year 2015 | Article Id. IJETT-V28P224 | DOI : https://doi.org/10.14445/22315381/IJETT-V28P224

Software for Stresses and Mohr’s Circle Computation, Transformation and Sensitivity Analysis

Okonkwo Ugochukwu C., Onokwai Anthony O., Onokpite Ejiroghene

Citation :

Okonkwo Ugochukwu C., Onokwai Anthony O., Onokpite Ejiroghene, "Software for Stresses and Mohr’s Circle Computation, Transformation and Sensitivity Analysis," International Journal of Engineering Trends and Technology (IJETT), vol. 28, no. 1, pp. 123-129, 2015. Crossref, https://doi.org/10.14445/22315381/IJETT-V28P224

Abstract

Software has been developed for stress and Mohr’s circle computation, transformation and sensitivity analysis. It is developed to help students visualize the state of stress at a point and to understand the nature and effects of stress transformation which is one of the leading importance phenomena in the field of engineering. The software shows the effect of stresses on materials inclined at different angles and subjected to axial compressive loading. The software is developed in java programming language, because it is simple, objectoriented and user friendly. The developed software calculates normal stress, tangential stress, resultant stress as well as obliquity of resultant stress with changing orientation while Mohr circle is used to support the graphics. It also shows the behaviour of stresses on materials as the angle of inclination varies.

Keywords

Stress, Software, Stress transformation, Mohr’s Circle, Principal stress, Tangential stress, Resultant Stress, Obliquity of resultant Stress.

References

1) Brady, B.H. and Brown E. T (1993). Rock Mechanics for Underground Mining (Third ed.). Kluwer Academic Publisher. pp. 17–29. en.wikipedia-org/wiki/stress-(mechanics). Retrieved 7th June, 2013.
2) Davis, R. O.; Selvadurai. A. P. S. (1996): Elasticity and geomechanics. Cambridge University Press. England. Pp. 16– 26. en.wikipedia-org/wiki/stress-(mechanics).
3) Dieter, G. E. (1989). Mechanical Metallurgy. 3rd ed. McGraw- Hill. New York. en.wikipedia-org/wiki/stress-(mechanics).
4) James, M. and Amer, M. (2000): A Tool for Teaching Stress Transformation by Mohr’s Circle.Miami University, Oxford, and OH.Pp.1-23.
5) Mohd, R. and Homayoun, S. (2014): Evolution of Fabric under the rotation of the Principal Stress axes in the Simple Shear test. Journal of Mechanics of Material.Pp.73- 81.www.elsevier.com/locate/mechmat. Retrieved 12th May, 2014.
6) Niccolai, J. (2001):Design Goals of the Java Programming Language. Pg.109-117. www.Java.Sun.com, Retrieved 10th November, 2013.
7) Okonkwo U. C. (2009) Simulation, a Tool for Engineering Research through Sensitivity Analysis of a Stochastic Queueing Model Simulator, Journal of Science and Technology Research, 8(3): 34 – 40.
8) Okonkwo U. C., Sinebe, J. E. and Enyi, L. C. (2014). Sensitivity Analysis of Process Parameters on the Optimal Mix and Profit Margin in Custard Production. Journal of Emerging Trends in Computing and Information Sciences. 5(7) 556-567
9) Parry, R.H. (2004): Mohr’s Circle, Stress Paths and Geotechnics. 2th Edition, Taylor and Francis. Pp.1-30.
10) Rajput, R.K. (2000): Strength of Material. 4th Edition, S. Chand and Company Ltd. Ram Nagar, New Delhi.Pp. 91-125.
11) Rossow, M. (1996): An Interactive Program for Teaching Stress Transformation with Mohr’s Circle; Computer in Education Journal, Vol. 6, No. 4, pp. 42-46. www.elsevier.com/locate/cej. Retrieved 19th August, 2012.
12) Rossow, M. (1996): The Mohr’s Circle Suite of Program. Computer in Education Journal, Vol. 7, No. 3, Pp. 37-42. www.elsevier.com/locate/cej. Retrieved 19th August, 2012.
13) Russell J, John T. and DeWolf J. T (1992). Mechanics of Materials. McGraw-Hill Professional. Pp. 21-27. New York. www.wikipedia.com.
14) Smith, S. (1986): Microcomputer-Aided Teaching of Mohr’s Circle. International Journal of Applied Engineering Education. Vol. 2, pp. 91-101.
15) Stephen J. R (1996): An Animated Computer Graphics Program for Engineering Mechanics Education. ASEE Annual Conference Proceedings, United States. Pp.935- 953.www.wikipedia.com, Retrieved 3rd November, 2012. 16) Timoshenko, S. and Gere, J. (1972): Mechanics of Material. Pp.53. Van Nostrand.
17) Timothy, A. et al. (2002): Interactive learning Tools: Animating mechanics of materials. Proceedings of the 2002 America Society for Engineering Education Annual Conference and Exposition. Vol. 3, Pp.54-87. http://www.umr.edu/-bestmech/preview.html. Retrieved 4th June, 2013.
18) Tridib, K. and Manish, A (2013): 3-D Mohr Circle Construction Using Vein Orientation Data. Journal of Structural Geology. Vol.56, Pp 45-56. http://dx.doi.org/10.1016/j.jsg.2013.08.005, Retrieved 10th January, 2014.
19) Xu, S. et al. (2010): 3D Mohr diagram to explain reactivation of pre-existing planes due to changes in applied Stresses. Rock Stress and Earthquakes. www.ipublishing.co.in. Vol. 5, Pp 36-51. Retrieved 8th March, 2013.
20) Wai-Fah C and Baladi, G.Y. (1985). Soil Plasticity, Theory and Implementation. Elsevier Science and Technology Book. Vol. 38. Pp 231- 234.http://books.google.com/books/about/soil_plasticity. Retrieved 4th June, 2013.