Chiang Mai J. Sci. 2019; 46(4) : 787-798 http://epg.science.cmu.ac.th/ejournal/ Contributed Paper Stress Analysis of Circular Disk Using Shear Difference Method in Reflection Polariscope Yongyut Manjit [a,b,c], Apichart Limpichaipanit [a,d] and Athipong Ngamjarurojana* [a,d] [a] Department of Physics and Materials Science, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand. [b] Faculty of Science at Si Racha, Kasetsart University Si Racha Campus, Chon Buri 20230, Thailand. [c] PhD’s Degree Program in Applied Physics, Faculty of Science, Chiang Mai University, Chiang Mai, 50200, Thailand. [d] Research Center in Physics and Astronomy, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand. *Author for correspondence; e-mail: [email protected] Received: 12 December 2018 Revised: 13 February 2019 Accepted: 18 February 2019 ABSTRACT The induced stress relation of PMMA (Poly methyl methacrylate) was investigated by two-point loading of hydraulic press system at top and bottom of circular disk shape and we observed the angle of principal stress and number of fringe order of isoclinic and isochromatic fringe pattern using reflection polariscope. It was found that the number of fringe order depended on magnitude of force but the angle of principal stress did not depend on the magnitude of force. The fringe value of circular disk calculated by calibration method was 57,920 N/(order fringe) and these parameters were used to calculate stress distribution by shear difference method. The results show the stress distribution of circular disk and the relation of stress distribution with the magnitude of force consist of shear and normal stress. The stress of circular disk increased as the magnitude of force increased. The relation of the force (in the magnitude of 535.4-994.6 N) with shear stress, normal stress in horizontal and vertical direction of circular disk is linear. Keywords: stress analysis, reflection photoelasticity, shear difference method 1. I NTRODUCTION Many of the stress distribution problems are found in engineering design and it is usually dealt by the mathematical and analytical methods [1-3]. These methods are satisfied in many cases, but often new problems are found. It is not at all to solve by mathematical method. The experimental method is applied to study the full field stress distribution in materials which have complicated shape and the stress problem cannot be solved by mathematical and analytical methods. Nowadays stress analysis can be easily performed by various numerical methods, such as the widely used finite element (FE) method. Besides FE commercial software is available. Certainly, experimental verification is always necessary in practice to ensure the safe design of the structures. Besides, the material properties are determined by the experiments. Therefore,
Stress Analysis of Circular Disk Using Shear Difference Method in Reflection Polariscope
Jun 24, 2023
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