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DESIGN and ANALYSIS of an INSTRUMENT for MEASURING RADIUS of the SEGMENT K.Ramesh1, N.Surya2, P.Karthik3, P.Ajeeth4, A.Kalaiyara

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DESIGN and ANALYSIS of an INSTRUMENT for MEASURING RADIUS of the SEGMENT K.Ramesh1, N.Surya2, P.Karthik3, P.Ajeeth4, A.Kalaiyara International Journal of Pure and Applied Mathematics Volume 118 No. 20 2018, 891-894 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu Special Issue ijpam.eu DESIGN AND ANALYSIS OF AN INSTRUMENT FOR MEASURING RADIUS OF THE SEGMENT K.Ramesh 1, N.Surya 2, P.Karthik 3, P.Ajeeth 4, A.Kalaiyarasan 5 1Assistant Professor, Karpagam College of Engineering, Coimbatore -641032, India 2,3,4,5 UG Scholar, Karpagam College of Engineering, Coimbatore -641032, India [email protected] , [email protected], [email protected], [email protected], [email protected] Abstract: The aim of our concept is used to measure 1.2 Dial Gauge the radius of the segment of the circle. This method is used to measure the radius easily. When constructing It is measuring device. Which is used to find out them, we frequently know the width and height of the flatness of the surface. The variety of the dial gauges arc and need to know the radius. This allows us to lay are, Plunger dial gauge, Lever dial gauge, Test dial out the arc using our new measuring instrument. A indicator. We are using plunger dial gauge as circle through any three points can also be found by measuring instrument. Measuring range of our construction with an dial gauge and straightedge. This instrument is 0 to 10mm. also yields the location of the centre point, and hence its radius. Key words: Measuring the radius of the segment 1. Introduction We come across a number of shapes in our day to day life. In this project we are going to measure the radius of the segment (or) arc. In this method we are using manual measuring instrument. Our project consist of two main part frame and dial gauge. In our daily life industries are using CMM for measuring such type of measurement. But we can measure easily by using our Figure 1 measuring instrument. And we can use our instrument for inspecting radius of the circle. Conventional 1.3 Frame measurement has done manually by mechanical dial indicator, which is normally consumed and developed Frame is the part which is placed at the top of the on the operator to a certain extent. Therefore, lots of instrument. Main frame, Stem, spindle, contact point researches have been done to fulfill the radius are the parts of the frame. Frame is done by the cast measurement automatically. Computer aided inspection iron metal. The body used to hold the stems in their with coordinate measuring machines (CMM) is place is called frame, thick C shaped frames are used. gradually increased and being employed to figure out whether products are meeting the established specification. 1.1 Component Selection The radius measuring gauge consists of the following components. 1.Dial gauge 2.Frame 3.Needle Figure 2 891 International Journal of Pure and Applied Mathematics Special Issue 1.4 Needle It is the component which is placed at the bottom of the frame. Which consist the contact point for instrument which contact the frame and surface of the measuring component. There are two needles in the frame. Figure 3 2. Working Principle Figure 4. Radius measuring instrument In this project we are going to measure the radius of the segment (or) arc. In this method we are using manual The minimum limit of the instrument is = 32.34mm measuring instrument. Our project consist of two main The maximum limit of the instrument is= 14921.28mm part frame and dialgauge. In our daily life industries are The standard width of the instrument is= 34.55mm using CMM for measuring such type of measurement. The dial gauge deflection range is= 5mm But we can measure easily by using our measuring instrument. And we can use our instrument for Table 1. Measurment Tabulation inspecting radius of the circle. There are two main parts in our project frame and dial gauge. Frame of the SAMPLE PRESENTED CMM device is constructed according to the component. The 1 39.3 39.3 dial gauge is placed at the top of the frame. The dialgauge and frame is kept at the surface plate and the 2 45.5 45.29 dial gauge is set to zero. And the instrument is kept at the component. The width and height of the arc is 3. Calculation measured by the instrument. RADIUS R=H\2+W 2/2H Sample 1 ,R = 4/2 + (34.552/ 8x4) R= 39.30 mm Sample 2 ,R=3.3/2+(34.55 2/8x3.3) R=45.5mm 4. Conclusion W = The distance between two contact points in the This project helped us to know the periodic steps in frame completing a project work. This project has also H = The deflection of the dial gauge reduced the cost involved in the concern. Project has In this measurement there is an main formula which is been designed to perform the entire requirement task used to measure the radius of an arc. The formula for which has also been provided. Therefore, it is suitable the radius is: for radius measurement of work piece with batch or R=H\2+W 2/2H mass production in modern industries. 892 International Journal of Pure and Applied Mathematics Special Issue Reference [1] R. Raghunandan and P. V. Rao, “Selection of an optimum sample size for flatness error estimation while using coordinate measuring machine,” Int. J. Mach. Tool Manuf., vol. 47, no. 3, pp. 477–482, Mar.2007. [2] B. Packro, “Inter ferometric flatness measurement of non-reflective sur- faces,” Int. Photon., no. 2, pp. 52–55,2008. [3] C. C. Cui, S. W. Fu, and F. G. Huang, “Research on the uncertainties from different from error evaluation methods by CMM sampling, ”Int. J. Adv. Manuf. Technol., vol. 43, nos. 1–2, pp. 136–145, Jul. 2009. [4] University of South Florida: Center for Instructional Technology "Construction of Bisecting a Given Arc." 2009. [5] Math Open Reference: "Radius of an Arc or Segment." John Page, 209. [6] M. Suzuki and M. Kanaya, “Applications of moiré topography mea- surement methods in industry,” Opt. Laser Eng., vol. 8, nos. 3–4, pp. 171–188,1998. [7] P. Grant, J. Lord, P. Whitehead, T. Fry, Appl. Mech. Mater. 3–4 (2005) 105. [8] C. Barile, C. Casavola, G. Pappalettera, C. Pappalettere, Integritet i vek konstrukcija – Struct. Integ. Life 17 (2011). [9] C. Casavola, L. Lamberti, C. Pappalettere, F. Tattoli J. Strain Anal. Eng. Des. 45 (2010) 535. [10] W. Gao, P. S. Huang, T. Yamada, and S. Kiyono, “A compactandsensitive two-dimensional angle probe for flatness measurement of large silicon wafers,” Precis. Eng., vol. 26, no. 4, pp. 396–404, Oct. 2002. 893 894.
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