SURFACE ROUGHNESS EVALUATION IN TURNING BASED ON ABBOTT FIRESTONE CURVE

Size: px
Start display at page:

Download "SURFACE ROUGHNESS EVALUATION IN TURNING BASED ON ABBOTT FIRESTONE CURVE"

Transcription

1 SURFACE ROUGHNESS EVAUATION IN TURNING BASED ON ABBOTT FIRESTONE CURVE Adriana Carmen Cîrstoiu Materials, Equipments, Installations and Robots Department, VAAHIA University of Târgovişte, România, Abstract The paper presents experimental determination of the influence of the cutting tool nose radius on surfaces roughness in case of external turning. A roughness evaluation by its correlation with Abbott- Firestone curve and statistical distribution of the amplitudes of roughness profiles has been undertaken in the frames of this paperwork. Key words Surface Roughness, roughness profile, nose radius, Abbott - Firestone curve 1. Introduction The measurement of surface state evaluates the defects of surface inevitably generated during the manufacture of parts. A good knowledge of these defects can take the necessary steps to keep within limits acceptable to the work piece assumes the function for which it was designed in the best economic conditions [1]. The factors that play a major influence on the quality of machined surfaces are: the machining parameters, the geometry of cutting tool, the properties of the material worked, the nature and mode of lubrication, the phenomenon of work hardening and the machining method []. In this paper are presented the data on the experimental influence of tool geometry on surface quality machined by turning. It was shown by theoretical and experimental research to the favorable effect of increasing nose radius r ε on quality machined surfaces by turning, expressed by the parameters Ra and Rt. Parameters are numerical values assigned to a surface, the most common being Ra, which averages the peak and valley displacement from a mean line but provides no information about the height of the peaks and valleys or the ability of the material to bear a load (bearing ratio). A study of bearing area ratio, T p and the Abbot-Firestone curve (bearing area curve) allows the display of statistical distribution of depths of points on the profile [3]. Bearing area ratio (Tp) is the length of the bearing surface expressed as a percentage of the assessment length at a depth, or "slice level," below the highest peak [4]. It is useful because it simulates wear at various cutting depths of the surface. Ra is an important parameter of roughness, but two different surfaces may have similar Ra, but could function differently. It is therefore necessary to analyze other parameters such as Rq, Rsk or Rku [5]... Design of the experiment We measure the parameters of surface roughness machined by turning, thanks to a modified nose radius tool. Experimental investigations were conducted on cylindrical surfaces mm in length and 41 mm in diameter, separated by gorges, as illustrated by Figure 1. Fig. 1. The configuration and dimension of the machined work piece The material in cylindrical bar XC18 is a non-alloy steel low carbon (.16% -.%) C. The steel also contains: Si (, %), Mn (.4 to.7 %), P.35% S.35%. Experimental investigations were performed on a CNC machine, an NC lathe Challenger 3. The experiments consisted of processing the four areas, with mm length and initial diameter of 41 mm, with the same cutting parameters, but with different geometry of the cutting plates. Geometry of cutting plates are different because of different nose radius, r ε. The Romanian Review Precision Mechanics, Optics & Mechatronics, 1 (), No

2 The cutting parameters used in processing were: - Cutting speed, v c = m / min (corresponding to a speed of 1 rpm) - feed f =. mm / rev - depth of cut a p = 1.7 mm. In experiments were used the following carbide cutting plates, manufactured by Sandvik Coromant and chosen by CoroGuide and CoroKey PC programs: CNMG 144 MF ; r ε =,4 mm CNMG 148 MF ; r ε =,8 mm CNMG 141 MF ; r ε =1, mm CNMG 1416 MF ; r ε =1,6 mm -Port-plates - PCN R K1. Measuring parameters of roughness and bearing area ratio was done using a Taylor Hobson (Surtronic 3+) surface profilometer [6]. 3. Results analysis 3.1 Influence of nose radius on surface roughness Correlation between the tool geometry, feed rate f and the surface roughness is demonstrated by relationships (1) şi () [7]. f Rt teor 8 Rt teor [mm], (1) r r f r [mm] () 4 The roughness parameter Rt can be calculated with both relationships, but in this paper has used the relationship (1) and the values obtained were noted Rt theor. For situations where the tool has a radius, one can estimate the value of the parameter Ra as [8]:.31 f Ra teor [mm], (3) r where: f is the feed rate in mm / rev; r ε is the nose radius in mm; Rt is the maximum peak-to-valley height of the roughness profile; Ra represents the arithmetical mean deviation, the average roughness or deviation of all points from a plane fit to the test part surface, evaluated in accordance with ISO 487: 1. In Table 1 are the theoretical values of roughness parameter Rt, calculated with the relationship (1), very close to those calculated by equation (), the theoretical values of roughness parameter Ra, obtained using the theoretical model Boothroyd, relationship (3) and experimental values of Rt and Ra. Comparing the theoretical and experimental values of roughness parameters Ra and Rt, can see that reports values of roughness parameters are very close; the report Rt teor / Ra teor is about 4, and the report Rt exp / Ra exp is about 5, according to Table 1. It notes the existence of very small differences between experimental and theoretical values of roughness parameters Ra, so that we can say that the predicted values of the surface parameter Ra were confirmed by experimental values of Ra (table 1). Small differences between experimental and theoretical values of roughness parameter Rt is explained by the possibility of differences in cutting conditions in relation to the theoretical relationships. Table 1. Theoretical and experimental values of roughness parameters Rt and Ra for the processed surfaces with different nose radius Nose radius r ε =,4 mm r ε =,8 mm r ε =1, mm r ε =1,6 mm (Profile 7) (Profile 8) (Profile 9) (Profile 1) Roughness Parameters/ Report values R t exp [μm] 1, 7,56 6,63 4,76 R a exp [μm],16 1,51 1,16,918 R t exp / R a exp 4,7 4,344 5,715 5,185 R t theor [μm] 1,5 6,5 4,166 3,15 R a theor [μm] 3,1 1,65 1,7,8 Rt teor / Ra teor 3,894 3,894 3,893 3,96 Regarding the values of parameters Rt and Ra, we observe that the roughness values decreases, so the surface quality increases when the nose radius increases, as shown in Figure. 164 The Romanian Review Precision Mechanics, Optics & Mechatronics, 1 (), No. 38

3 Roughness parameters [um] Ra exp Rt exp Ra theor Rt theor Nose radius [mm] Fig.. Theoretical and experimental values of roughness parameters Rt and Ra for surfaces machined with different radiuses of tool s tip Figures 3, 4, 5 and 6 shows the profiles of surface roughness and the values of roughness parameters for the machined surfaces with the following values for the nose radius, r ε :,4 mm;,8 mm; 1, mm and 1,6 mm. The values of roughness parameters for machined surfaces with values r ε mentioned above are presented in Table 1. It is noted that the experimentally determined values of roughness parameters decrease when increasing cutting tool nose radius, confirming theoretical research from [9] and experimental research from [1]. Fig. 3. Roughness profile and the parameters of roughness achieved by nose radius r ε =,4 mm Fig. 4. Roughness profile and the parameters of roughness achieved by nose radius r ε =,8 mm The Romanian Review Precision Mechanics, Optics & Mechatronics, 1 (), No

4 Fig. 5. Roughness profile and the parameters of roughness achieved by nose radius r ε = 1, mm Fig. 6. Roughness profile and the parameters of roughness achieved by nose radius r ε = 1,6 mm 3. Abbot-Firestone curve and the statistical distribution of amplitudes The Abbott-Firestone bearing curve represents a surface that requires very little depth to obtain a supporting surface. The Abbott-Firestone bearing curves for machined surfaces with nose radius shown in Table are presented in Figures 7, 8, 9 and 1. Fig. 7. Curve Abbot - Firestone and the statistical distribution of amplitudes for the profile machined with the nose radius r ε =.4 mm 166 The Romanian Review Precision Mechanics, Optics & Mechatronics, 1 (), No. 38

5 Fig. 8. Curve Abbot - Firestone and the statistical distribution of amplitudes for the profile machined with the nose radius r ε =.8 mm The bearing ratio curve is generated by plotting a curve at various depths. The slope of this curve can be useful in determining how fast a surface will wear and the dimensional size change likely after wear-in. Table. Bearing area ratio for the processed surfaces with different nose radius Profile Parameters Profile 7 (r ε =,4 mm) Profile 8 (r ε =,8 mm) Profile 9 (r ε =1, mm) Profile 1 (r ε =1,6mm) Cutting depths of the 7,78 5,94 5,6 3,96 surface [μm] Bearing area ratio [%] Rt exp [μm] 1, 6,56 6,63 4,76 Ra exp [μm],16 1,51 1,16,918 Fig. 9. Curve Abbot - Firestone and the statistical distribution of amplitudes for the profile machined with the nose radius r ε = 1. mm The Romanian Review Precision Mechanics, Optics & Mechatronics, 1 (), No

6 Fig. 1. Curve Abbot - Firestone and the statistical distribution of amplitudes for the profile machined with the nose radius r ε = 1.6 mm Ra is an important parameter of roughness, but two different surfaces may have similar Ra, but could function differently. It is therefore necessary to analyze other parameters such as Rq, Rsk or Rku, defined by relations 4, 5 and 6. The values of these parameters corresponding machined surfaces with different tool noses are indicated by the roughness Surtronic 3 + and listed in Table 3. Table 3. Values of roughness parameters Rq, Rsk and Rku for the machined surfaces with different nose radius Profile Profile7(r ε =,4 mm) Profile8(r ε =,8 mm) Profile9(r ε =1, mm) Profile1(r ε =1,6mm) Rq [μm],5 1,73 1,37 1,9 Rsk (S k ),468,96,34,613 Rku (E k ) 1,99 1,85,1,39 The distribution of amplitudes of roughness profiles can approach a Gaussian distribution. The parameters we are interested: Root mean square roughness, Rq (μm), the average of the measured height deviation taken within the evaluation length or area and measured from the mean linear surface: R q 1 z ( x) dx (4) Skewness (indicator characterizing the symmetry of the profile), Rsk: Rsk z ( x) dx (5) 3 R q Kurtosis (indicator characterizing the spread of the distribution), Rku: Rku 1 1 z ( x) dx R 4 4 q (6) Skewness is a measure of symmetry of the profile about the mean line. Kurtosis is a measure of the randomness of heights and of the sharpness of a surface. Skew and kurtosis are central moments of the third and fourth order. They are able to measure the material ratio on a profile. In particular, the skew shows the degree of symmetry of the profile, while the kurtosis shows the amount of profile points near (narrow profile) or far (flat profile) from the mean. Amplitude distributions profiles presented in Figs 7, 8, 9 and 1 are close to normal distribution. Rsk has positive values, leading to an asymmetrical profile, shifted to the right, indicating a sharp profile of a less wear resistant surface. A normal distribution of profile values results in zero skewness. Rku has values less than 3. A profile with flattened peaks and valleys has smaller Rku values. Amplitude distribution curve is a normal profile for Rku equal to 3, when there are a maximum number of points in the profile around the average line. 4. Conclusions The curves shown in Figure 1 reveal the dependence of roughness parameters Ra and Rt as a function of nose radius r ε. So, if the nose radius increases, the values of roughness parameters decrease, indicating an improvement in surface quality, as indicated by experimental results in Table 1. This can be explained by the changing conditions of plastic deformation in chip formation. 168 The Romanian Review Precision Mechanics, Optics & Mechatronics, 1 (), No. 38

7 By studying the bearing area ratio and the Abbott-Firestone curve, we notice that as the roughness decreases, the lift (bearing area ratio) increases. If the nose radius increases, to get the same rate of lift, we need a cutting depth of the surface becoming less, as indicated by Table. Therefore, improving the quality of the surfaces, turning them with cutting tools with larger nose radii, lead to increased bearing surface, as shown by Figures 7, 8, 9 and 1. Regarding the statistical distribution of depths, presented in Figures 7, 8, 9 and 1, we can conclude the following: Rsk has positive values, leading to an asymmetrical profile, shifted to the right, indicating a sharp profile of a less wear resistant surface. Bearing surface should have negative skew. Rku has values between and 3, the amplitude distribution curve profile having no significant deviations from normal distribution. 5. References [1] B. Murzec, F. Muz, Integral model of selection of optimal cutting conditions from different databases of tool makers. Journal of Materials Processing Technology, vol. 133, 1-,3, pg [] S. M. Darwish, The impact of tool material and cutting parameters on surface roughness of a nickel- base superalloy. Materials and manufacturing Processes Vol. 1, No. 6, 1997, pg [3] E. J. Abbot, F.A. Firestone Specifying surface quality Engineering Mc. Graw Hill Company, New York, 1968 [4] E.C. Teague, F.E. Scire, S.M. Baker & S.W. Jensen, 3-Dimensional stylus profilometry, Wear vol. 83, 198 [5] E.S. Gadelmavla, M.M. Koura, T.M.A. Maksoud, I.M. Elewa & H.H. Soliman, Roughness parameters,, Journal of Materials Processing Technology, Vol. 13, [6] Gh.Gheorghe, Tehnica măsurării inteligente, Ed. CEFIN, Bucureşti 4 [7] E. Diacenko, M.O. Iacobson Calitatea suprafeţelor la prelucrarea metalelor prin aşchiere (translation from Russian), Ed. Tehnică, Bucureşti, 1954 [8] G. Boothroyd, Fundamentals of Metal Machining and Machine Tools, Dekker, New York, 1989 [9] Şt. Enache, a qualité des surfaces métaliques, Ed. Tehnică, Bucureşti, 1994 [1] Capello E., Residual stresses in turning; Part I: Influence of processes parameters, Journal of Materials Processing Technology, 4 The Romanian Review Precision Mechanics, Optics & Mechatronics, 1 (), No

CUTTING MECHANICS AND SURFACE FINISH FOR TURNING WITH DIFFERENTLY SHAPED CBN TOOLS

CUTTING MECHANICS AND SURFACE FINISH FOR TURNING WITH DIFFERENTLY SHAPED CBN TOOLS A R C H I V E O F M E C H A N I C A L E N G I N E E R I N G VOL. LXIV 2017 Number 3 DOI: 10.1515/meceng-2017-0021 Key words: hardened steel, surface roughness, cutting force, specific energy, corner radius

More information

INFLUENCE OF TOOL NOSE RADIUS ON THE CUTTING PERFORMANCE AND SURFACE FINISH DURING HARD TURNING WITH CBN CUTTING TOOLS 1.

INFLUENCE OF TOOL NOSE RADIUS ON THE CUTTING PERFORMANCE AND SURFACE FINISH DURING HARD TURNING WITH CBN CUTTING TOOLS 1. Journal of Machine Engineering, Vol. 17, No. 2, 2017 Received: 23 January 2017/ Accepted: 16 April 2017 / Published online: 12 June 2017 Wit GRZESIK 1* Krzysztof ZAK 1 Roman CHUDY 1 hardened steel, surface

More information

King Saud University College of Engineering Industrial Engineering Dept.

King Saud University College of Engineering Industrial Engineering Dept. IE-352 Section 1, CRN: 13536 Section 2, CRN: 30521 First Semester 1432-33 H (Fall-2011) 4(4,1,1) MANUFACTURING PROCESSES - 2 Machining Exercises Name: Student Number: 42 Answer ALL of the following questions

More information

MetroPro TM Surface Texture Parameters

MetroPro TM Surface Texture Parameters MetroPro TM Surface Texture Parameters Understanding Surface Texture Parameters Every part s surface is made up of texture and roughness which varies due to manufacturing techniques and the part structure

More information

Surface Roughness Prediction Technique For CNC End-Milling

Surface Roughness Prediction Technique For CNC End-Milling Volume 15, Number 1 - November 1998 to January 1999 Surface Roughness Prediction Technique For CNC End-Milling By Dr. Mike S. Lou, Dr. Joseph C. Chen & Dr. Caleb M. Li KEYWORD SEARCH Materials & Processes

More information

Evaluation of Surface Finish Affect on Aerodynamic Coefficients Of Wind Tunnel Testing Models

Evaluation of Surface Finish Affect on Aerodynamic Coefficients Of Wind Tunnel Testing Models Evaluation of Finish Affect on Aerodynamic Coefficients Of Wind Tunnel Testing s R. ADELNIA 1, S. AGHANAJAFI 2, S. DANESHMAND 3 Department of Mechanical Engineering Islamic Azad University Majlesi Branch

More information

Influence of roughness parameters on coefficient of friction under lubricated conditions

Influence of roughness parameters on coefficient of friction under lubricated conditions Sādhanā Vol. 33, Part 3, June 2008, pp. 181 190. Printed in India Influence of roughness parameters on coefficient of friction under lubricated conditions PRADEEP L MENEZES 1, KISHORE 1 and SATISH V KAILAS

More information

Optimization of Radial Force in Turning Process Using Taguchi s Approach

Optimization of Radial Force in Turning Process Using Taguchi s Approach 5 th International & 6 th All India Manufacturing Technology, Design and Research Conference (AIMTDR 04) December th 4 th, 04, IIT Optimization of Radial Force in Turning Process Using Taguchi s Approach

More information

CHAPTER 3 EXPERIMENTAL STUDY OF INTERFACE BEHAVIOR BETWEEN COMPOSITE PILES AND TWO SANDS

CHAPTER 3 EXPERIMENTAL STUDY OF INTERFACE BEHAVIOR BETWEEN COMPOSITE PILES AND TWO SANDS CHAPTER 3 EXPERIMENTAL STUDY OF INTERFACE BEHAVIOR BETWEEN COMPOSITE PILES AND TWO SANDS 3.1 INTRODUCTION The properties of materials used in composite piles can differ significantly from those of conventional

More information

ON THE EFFECT OF SPECTRAL CHARACTERISTICS OF ROUGHNESS ON CONTACT PRESSURE DISTIRBUTION

ON THE EFFECT OF SPECTRAL CHARACTERISTICS OF ROUGHNESS ON CONTACT PRESSURE DISTIRBUTION 7 Paper present at International Conference on Diagnosis and Prediction in Mechanical Engineering Systems (DIPRE 09) 22-23 October 2009, Galati, Romania ON THE EFFECT OF SPECTRAL CHARACTERISTICS OF ROUGHNESS

More information

FRICTION AND THERMAL IMAGING OF TREATED BEARING MATERIALS

FRICTION AND THERMAL IMAGING OF TREATED BEARING MATERIALS LETTER REPORT FRICTION AND THERMAL IMAGING OF TREATED BEARING MATERIALS Prepared by: Peter J. Blau (ORNL Contact, PI), Kevin M. Cooley and Ralph B. Dinwiddie Materials Science and Technology Division Oak

More information

Neural network process modelling for turning of steel parts using conventional and wiper Inserts

Neural network process modelling for turning of steel parts using conventional and wiper Inserts Neural network process modelling for turning of steel parts using conventional and wiper Inserts Tugrul Özel* Department of Industrial and Systems Engineering, Rutgers University, Piscataway, NJ 08854-808,

More information

PUBLISHING HOUSE PROCEEDINGS OF THE ROMANIAN ACADEMY, Series A, OF THE ROMANIAN ACADEMY Volume 5, Number 2/2004, pp

PUBLISHING HOUSE PROCEEDINGS OF THE ROMANIAN ACADEMY, Series A, OF THE ROMANIAN ACADEMY Volume 5, Number 2/2004, pp PUBLISHING HOUSE PROCEEDINGS OF THE ROMANIAN ACADEMY, Series A, OF THE ROMANIAN ACADEMY Volume 5, Number 2/2004, pp.000-000 ON THE ROUGHNESS FRACTAL CHARACTER, THE TRIBOLOGICAL PARAMETERS AND THE ERROR

More information

OPTIMIZATION OF MACHINING PARAMETERS USING DESIRABILITY FUNCTION ANALYSIS AND ANOVA FOR THERMO-MECHANICAL FORM DRILLING

OPTIMIZATION OF MACHINING PARAMETERS USING DESIRABILITY FUNCTION ANALYSIS AND ANOVA FOR THERMO-MECHANICAL FORM DRILLING International Journal of Industrial Engineering & Technology (IJIET) ISSN(P): 2277-4769; ISSN(E): 2278-9456 Vol. 4, Issue 1, Feb 2014, 19-26 TJPRC Pvt. Ltd. OPTIMIZATION OF MACHINING PARAMETERS USING DESIRABILITY

More information

MTE 119 STATICS FINAL HELP SESSION REVIEW PROBLEMS PAGE 1 9 NAME & ID DATE. Example Problem P.1

MTE 119 STATICS FINAL HELP SESSION REVIEW PROBLEMS PAGE 1 9 NAME & ID DATE. Example Problem P.1 MTE STATICS Example Problem P. Beer & Johnston, 004 by Mc Graw-Hill Companies, Inc. The structure shown consists of a beam of rectangular cross section (4in width, 8in height. (a Draw the shear and bending

More information

Advanced Friction Modeling in Sheet Metal Forming

Advanced Friction Modeling in Sheet Metal Forming Advanced Friction Modeling in Sheet Metal Forming J.Hol 1,a, M.V. Cid Alfaro 2, T. Meinders 3, J. Huétink 3 1 Materials innovation institute (M2i), P.O. box 58, 26 GA Delft, The Netherlands 2 Tata Steel

More information

Analysis of contact deformation between a coated flat plate and a sphere and its practical application

Analysis of contact deformation between a coated flat plate and a sphere and its practical application Computer Methods and Experimental Measurements for Surface Effects and Contact Mechanics VII 307 Analysis of contact deformation between a coated flat plate and a sphere and its practical application T.

More information

MATHEMATICAL MODEL FOR DRILLING CUTTING FORCES OF 40CrMnMoS8-6 STEEL

MATHEMATICAL MODEL FOR DRILLING CUTTING FORCES OF 40CrMnMoS8-6 STEEL Bulletin of the Transilvania University of Braşov Series I: Engineering Sciences Vol. 5 (54) No. 1-2012 MATHEMATICAL MODEL FOR DRILLING CUTTING FORCES OF 40CrMnMoS8-6 STEEL I. BĂDAN 1 Gh. OANCEA 1 M. VASILONI

More information

Characterization of nanoscale roughness in single point diamond turned optical surfaces using power spectral density analysis

Characterization of nanoscale roughness in single point diamond turned optical surfaces using power spectral density analysis Indian Journal of Engineering & Materials Sciences Vol. 11, February 2004, pp. 25-30 Characterization of nanoscale roughness in single point diamond turned optical surfaces using power spectral density

More information

T.V. Vorburger, J.F. Song, T.B. Renegar, and A. Zheng January 23, 2008

T.V. Vorburger, J.F. Song, T.B. Renegar, and A. Zheng January 23, 2008 NIST SURFACE ROUGHNESS AND STEP HEIGHT CALIBRATIONS: Measurement Conditions and Sources of Uncertainty T.V. Vorburger, J.F. Song, T.B. Renegar, and A. Zheng January 23, 2008 The property of surface roughness

More information

MECHANICS OF MATERIALS Sample Problem 4.2

MECHANICS OF MATERIALS Sample Problem 4.2 Sample Problem 4. SOLUTON: Based on the cross section geometry, calculate the location of the section centroid and moment of inertia. ya ( + Y Ad ) A A cast-iron machine part is acted upon by a kn-m couple.

More information

Wear Characterisation of Connecting Rod Bore Bearing Shell Using I-kaz and Taylor Tool Life Curve Methods

Wear Characterisation of Connecting Rod Bore Bearing Shell Using I-kaz and Taylor Tool Life Curve Methods Proceedings of the st WSEAS International Conference on MATERIALS SCIECE (MATERIALS'8) Wear Characterisation of Connecting Rod Bore Bearing Shell Using I-kaz and Taylor Tool Life Curve Methods M. J. GHAZALI,

More information

Mechanics of Materials II. Chapter III. A review of the fundamental formulation of stress, strain, and deflection

Mechanics of Materials II. Chapter III. A review of the fundamental formulation of stress, strain, and deflection Mechanics of Materials II Chapter III A review of the fundamental formulation of stress, strain, and deflection Outline Introduction Assumtions and limitations Axial loading Torsion of circular shafts

More information

INFLUENCE OF THE LUBRICATION ON FRICTION IN MICROBALL BEARINGS

INFLUENCE OF THE LUBRICATION ON FRICTION IN MICROBALL BEARINGS INFLUENCE OF THE LUBRICATION ON FRICTION IN MICROBALL BEARINGS Mihaela Rodica Bălan, Liviu Balan,Vasile Ciprian Stamate, Alina-Corina Dumitraşcu, Dumitru Olaru Gheorghe Asachi Technical University of Iasi,

More information

Arch. Metall. Mater. 62 (2017), 1, 85-90

Arch. Metall. Mater. 62 (2017), 1, 85-90 Arch. Metall. Mater. 62 (2017), 1, 85-90 DOI: 10.1515/amm-2017-0011 Z. PATER* # FEM ANALYSIS OF LOADS AND TORQUE IN A SKEW ROLLING PROCESS FOR PRODUCING AXISYMMETRIC PARTS Skew rolling is a metal forming

More information

Chapter 11 Design of Low Friction Surfaces

Chapter 11 Design of Low Friction Surfaces Chapter 11 Design of Low Friction Surfaces 1 Design of Low Friction Surfaces (no lubricant allowed) Consider the task of creating low friction surfaces for sliding applications. FR 1 = Support the normal

More information

Sliding Bearings. Fig.(1) (a) Full-journal bearing and (b) partial-journal bearing

Sliding Bearings. Fig.(1) (a) Full-journal bearing and (b) partial-journal bearing Sliding Bearings The goal of a bearing is to provide relative positioning and rotational freedom while transmitting a load between two parts, commonly a shaft and its housing. The object of lubrication

More information

The basic dynamic load rating C is a statistical number and it is based on 90% of the bearings surviving 50 km of travel carrying the full load.

The basic dynamic load rating C is a statistical number and it is based on 90% of the bearings surviving 50 km of travel carrying the full load. Technical data Load Rating & Life Under normal conditions, the linear rail system can be damaged by metal fatigue as the result of repeated stress. The repeated stress causes flaking of the raceways and

More information

Tool edge radius effect on cutting temperature in micro-end-milling process

Tool edge radius effect on cutting temperature in micro-end-milling process Int J Adv Manuf Technol (2011) 52:905 912 DOI 10.1007/s00170-010-2795-z ORIGINAL ARTICLE Tool edge radius effect on cutting temperature in micro-end-milling process Kai Yang & Ying-chun Liang & Kang-ning

More information

EFFECT OF FEED RATE ON THE GENERATION OF SURFACE ROUGHNESS IN TURNING

EFFECT OF FEED RATE ON THE GENERATION OF SURFACE ROUGHNESS IN TURNING EFFECT OF FEED RATE ON THE GENERATION OF SURFACE ROUGHNESS IN TURNING M.RAMALINGA REDDY 1 Professor,Department of Mechanical Engineering CMR College of Engineering & Technology Hyderabad, Andhra Pradesh,

More information

EFFECT OF STRAIN HARDENING ON ELASTIC-PLASTIC CONTACT BEHAVIOUR OF A SPHERE AGAINST A RIGID FLAT A FINITE ELEMENT STUDY

EFFECT OF STRAIN HARDENING ON ELASTIC-PLASTIC CONTACT BEHAVIOUR OF A SPHERE AGAINST A RIGID FLAT A FINITE ELEMENT STUDY Proceedings of the International Conference on Mechanical Engineering 2009 (ICME2009) 26-28 December 2009, Dhaka, Bangladesh ICME09- EFFECT OF STRAIN HARDENING ON ELASTIC-PLASTIC CONTACT BEHAVIOUR OF A

More information

ROLLING FRICTION TORQUE IN MICROSYSTEMS

ROLLING FRICTION TORQUE IN MICROSYSTEMS Proceedings of VAREHD 15, Suceava, May 6-8, 010 170 ROLLING FRICTION TORQUE IN MICROSYSTEMS D. N. Olaru, C. Stamate, A. Dumitrascu, Gh. Prisacaru Department of Machine Elements and Mechatronics,Technical

More information

M A N U F A C T U R I N G P R O C E S S E S ME A S S I G N M E N T

M A N U F A C T U R I N G P R O C E S S E S ME A S S I G N M E N T H.- J. Steinmetz, Jan. 004 M A N U F A C T U R I N G P R O C E S S E S ME 38.3 A S S I G N M E N T 0 0 4 A machine shop has 15 workers and one shop foreman. The shop has to manufacture a quantity of 800

More information

Review of Thermal Joint Resistance Models for Non-Conforming Rough Surfaces in a Vacuum

Review of Thermal Joint Resistance Models for Non-Conforming Rough Surfaces in a Vacuum Review of Thermal Joint Resistance Models for Non-Conforming Rough Surfaces in a Vacuum M. Bahrami J. R. Culham M. M. Yovanovich G. E. Schneider Department of Mechanical Engineering Microelectronics Heat

More information

G1RT-CT D. EXAMPLES F. GUTIÉRREZ-SOLANA S. CICERO J.A. ALVAREZ R. LACALLE W P 6: TRAINING & EDUCATION

G1RT-CT D. EXAMPLES F. GUTIÉRREZ-SOLANA S. CICERO J.A. ALVAREZ R. LACALLE W P 6: TRAINING & EDUCATION D. EXAMPLES 426 WORKED EXAMPLE I Flat Plate Under Constant Load Introduction and objectives Data Analysis Bibliography/References 427 INTRODUCTION AND OBJECTIVES During a visual inspection of a C-Mn flat

More information

Linear Elasticity ( ) Objectives. Equipment. Introduction. ε is then

Linear Elasticity ( ) Objectives. Equipment. Introduction. ε is then Linear Elasticity Objectives In this lab you will measure the Young s Modulus of a steel wire. In the process, you will gain an understanding of the concepts of stress and strain. Equipment Young s Modulus

More information

D : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown.

D : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown. D : SOLID MECHANICS Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown. Q.2 Consider the forces of magnitude F acting on the sides of the regular hexagon having

More information

Modeling and Estimation of Grinding Forces for Mono Layer cbn Grinding Wheel

Modeling and Estimation of Grinding Forces for Mono Layer cbn Grinding Wheel Research Article International Journal of Current Engineering and Technology E-ISSN 2277 46, P-ISSN 2347-5161 14 INPRESSCO, All Rights Reserved Available at http://inpressco.com/category/ijcet Modeling

More information

Increasing of the Stern Tube Bushes Precision by On-Line Adaptive Control of the Cutting Process

Increasing of the Stern Tube Bushes Precision by On-Line Adaptive Control of the Cutting Process Increasing of the Stern Tube Bushes Precision by On-Line Adaptive Control of the Cutting Process LUCIAN VASILIU, ALEXANDRU EPUREANU, GABRIEL FRUMUŞANU, VASILE MARINESCU Manufacturing Science and Engineering

More information

Appendix B1. Reports of SMU

Appendix B1. Reports of SMU Appendix B1 Reports of SMU Euromet Project 600 Comparison of Surface Roughness Standards /13 EUROMET SUPPLEMENTARY COMPARISON SURFACE TEXTURE Project No. 600 Final Report Elaborated by: M. Szmicskova Bratislava,

More information

Application of Taguchi method in optimization of control parameters of grinding process for cycle time reduction Snehil A. Umredkar 1, Yash Parikh 2

Application of Taguchi method in optimization of control parameters of grinding process for cycle time reduction Snehil A. Umredkar 1, Yash Parikh 2 Application of Taguchi method in optimization of control parameters of grinding process for cycle time reduction Snehil A. Umredkar, Yash Parikh 2 (Department of Mechanical Engineering, Symbiosis Institute

More information

Lecture 8. Stress Strain in Multi-dimension

Lecture 8. Stress Strain in Multi-dimension Lecture 8. Stress Strain in Multi-dimension Module. General Field Equations General Field Equations [] Equilibrium Equations in Elastic bodies xx x y z yx zx f x 0, etc [2] Kinematics xx u x x,etc. [3]

More information

CHAPTER 9 FAILURE PROBLEM SOLUTIONS

CHAPTER 9 FAILURE PROBLEM SOLUTIONS Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or instructional purposes only to students enrolled in courses for which the textbook has

More information

T4.1. CYLINDER BORE HONING

T4.1. CYLINDER BORE HONING T4.1. CYLINDER BORE HONING - 4th Reporting Period (36 to 48 month) - PROHIPP-48th MONTH TERM- GENERAL MEETING 26 th May 2008 VIC Page : 1 Objectives of Reporting Period Objectives of Reporting Period:

More information

A Study on the Effective Long Type Coil Shape by Multidisciplinary Method in Induction Heating

A Study on the Effective Long Type Coil Shape by Multidisciplinary Method in Induction Heating Modern Mechanical Engineering, 214, 4, 57-66 Published Online May 214 in SciRes. http://www.scirp.org/journal/mme http://dx.doi.org/1.4236/mme.214.427 A Study on the Effective Long Type Coil Shape by Multidisciplinary

More information

NUMERICAL AND EXPERIMENTAL METHOD TO ALIGN 2500 TF PRESS COLUMNS

NUMERICAL AND EXPERIMENTAL METHOD TO ALIGN 2500 TF PRESS COLUMNS Journal of Engineering Studies and Research Volume 18 (2012) No. 3 29 NUMERICAL AND EXPERIMENTAL METHOD TO ALIGN 2500 TF PRESS COLUMNS DOBROT OANA-MIRELA 1*, ŢOCU FLORENTINA 1, MOCANU COSTEL IULIAN 1 1

More information

Bending Load & Calibration Module

Bending Load & Calibration Module Bending Load & Calibration Module Objectives After completing this module, students shall be able to: 1) Conduct laboratory work to validate beam bending stress equations. 2) Develop an understanding of

More information

Experimental Investigation of Fully Plastic Contact of a Sphere Against a Hard Flat

Experimental Investigation of Fully Plastic Contact of a Sphere Against a Hard Flat J. Jamari e-mail: j.jamari@ctw.utwente.nl D. J. Schipper University of Twente, Surface Technology and Tribology, Faculty of Engineering Technology, Drienerloolaan 5, Postbus 17, 7500 AE, Enschede, The

More information

Effect offriction onthe Cutting Forces in High Speed Orthogonal Turning of Al 6061-T6

Effect offriction onthe Cutting Forces in High Speed Orthogonal Turning of Al 6061-T6 IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 2278-1684,p-ISSN: 2320-334X, Volume 11, Issue 2 Ver. VII (Mar- Apr. 2014), PP 78-83 Effect offriction onthe Cutting Forces in High Speed

More information

Ch. 10: Fundamental of contact between solids

Ch. 10: Fundamental of contact between solids Ch. 10: Fundamental of contact between solids Actual surface is not smooth. At atomic scale, there are always defects at surface, such as vacancies, ledges, kinks, terraces. In micro or macro scale, roughness

More information

Mechanical Response of a Composite Steel, Concrete- Filled Pile

Mechanical Response of a Composite Steel, Concrete- Filled Pile Mechanical Response of a Composite Steel, Concrete- Filled Pile Joseph Labuz, Principal Investigator Department of Civil, Environmental, and Geo- Engineering University of Minnesota June 2018 Research

More information

POE Practice Test - Materials

POE Practice Test - Materials Class: Date: POE Practice Test - Materials Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A student weighs 150 lbs and is standing on a beam which spans

More information

OPTIMIZATION ON SURFACE ROUGHNESS OF BORING PROCESS BY VARYING DAMPER POSITION

OPTIMIZATION ON SURFACE ROUGHNESS OF BORING PROCESS BY VARYING DAMPER POSITION OPTIMIZATION ON SURFACE ROUGHNESS OF BORING PROCESS BY VARYING DAMPER POSITION Wasis Nugroho, Nor Bahiyah Baba and Adi Saptari Faculty of Manufacturing Engineering Technology, TATI University College,

More information

[8] Bending and Shear Loading of Beams

[8] Bending and Shear Loading of Beams [8] Bending and Shear Loading of Beams Page 1 of 28 [8] Bending and Shear Loading of Beams [8.1] Bending of Beams (will not be covered in class) [8.2] Bending Strain and Stress [8.3] Shear in Straight

More information

Numerical and Experimental Study of the Roughness Effects on Mechanical Properties of AISI316L by Nanoindentation

Numerical and Experimental Study of the Roughness Effects on Mechanical Properties of AISI316L by Nanoindentation Modeling and Numerical Simulation of Material Science, 2014, 4, 153-162 Published Online October 2014 in SciRes. http://www.scirp.org/journal/mnsms http://dx.doi.org/10.4236/mnsms.2014.44017 Numerical

More information

THEORETICAL AND EXPERIMENTAL STUDY ON THE GAS FLOWING THROUGH THE NOZZLES OF OXY-FUEL CUTTING EQUIPMENT

THEORETICAL AND EXPERIMENTAL STUDY ON THE GAS FLOWING THROUGH THE NOZZLES OF OXY-FUEL CUTTING EQUIPMENT THEORETICAL AND EXPERIMENTAL STUDY ON THE GAS FLOWING THROUGH THE NOZZLES OF OXY-FUEL CUTTING EQUIPMENT Mircea VLADESCU 1a, Nicoleta PANA 1b, Simona MIHAI 1c 1 Valahia University of Targoviste, Romania;

More information

A FINITE ELEMENT STUDY OF ELASTIC-PLASTIC HEMISPHERICAL CONTACT BEHAVIOR AGAINST A RIGID FLAT UNDER VARYING MODULUS OF ELASTICITY AND SPHERE RADIUS

A FINITE ELEMENT STUDY OF ELASTIC-PLASTIC HEMISPHERICAL CONTACT BEHAVIOR AGAINST A RIGID FLAT UNDER VARYING MODULUS OF ELASTICITY AND SPHERE RADIUS Proceedings of the International Conference on Mechanical Engineering 2009 (ICME2009) 26-28 December 2009, Dhaka, Bangladesh ICME09- A FINITE ELEMENT STUDY OF ELASTIC-PLASTIC HEMISPHERICAL CONTACT BEHAVIOR

More information

CONTACT MODEL FOR A ROUGH SURFACE

CONTACT MODEL FOR A ROUGH SURFACE 23 Paper presented at Bucharest, Romania CONTACT MODEL FOR A ROUGH SURFACE Sorin CĂNĂNĂU Polytechnic University of Bucharest, Dep. of Machine Elements & Tribology, ROMANIA s_cananau@yahoo.com ABSTRACT

More information

STICK SLIP EVALUATION

STICK SLIP EVALUATION 3225 Mainway, Burlington, Ontario, L7M 1A6 Canada Tel: +1.905.335.1440 Fax: +1.905.335.4033 www.thordonbearings.com STICK SLIP EVALUATION Self-lubricated Bearing Material Assessment DATE: 18November2015

More information

Modeling and optimization of surface roughness and tool vibration in CNC turning of Aluminum alloy using hybrid RSM-WPCA methodology

Modeling and optimization of surface roughness and tool vibration in CNC turning of Aluminum alloy using hybrid RSM-WPCA methodology International Journal of Industrial Engineering Computations 8 (2017) 385 398 Contents lists available at GrowingScience International Journal of Industrial Engineering Computations homepage: www.growingscience.com/ijiec

More information

Sound Radiation Of Cast Iron

Sound Radiation Of Cast Iron Purdue University Purdue e-pubs International Compressor Engineering Conference School of Mechanical Engineering 2002 Sound Radiation Of Cast Iron N. I. Dreiman Tecumseh Products Company Follow this and

More information

Design and Fabrication of Indexing Set Up for Drill Jig

Design and Fabrication of Indexing Set Up for Drill Jig Design and Fabrication of Indexing Set Up for Drill Jig Sangamesh 1, V. V. Kulkarni 2, 1pg scholar & dept. of mechanical engg, dept. of machine design K.L.S. Gogte institute of technology belagavi 2Prof.

More information

NUMERICAL AND EXPERIMENTAL STUDY OF FAILURE IN STEEL BEAMS UNDER IMPACT CONDITIONS

NUMERICAL AND EXPERIMENTAL STUDY OF FAILURE IN STEEL BEAMS UNDER IMPACT CONDITIONS Blucher Mechanical Engineering Proceedings May 2014, vol. 1, num. 1 www.proceedings.blucher.com.br/evento/10wccm NUMERICAL AND EXPERIMENTAL STUDY OF FAILURE IN STEEL BEAMS UNDER IMPACT CONDITIONS E. D.

More information

Control of Manufacturing Process

Control of Manufacturing Process Control of Manufacturing Process Subject 2.830 Spring 2004 Lecture #2 Process Modeling for Control February 5, 2004 Key Topics Process Taxonomy for Control Classifying the Universe of Processes Control

More information

A novel technique of friction and material property measurement by tip test in cold forging

A novel technique of friction and material property measurement by tip test in cold forging A novel technique of friction and material property measurement by tip test in cold forging Y T Im*, S H Kang, and J S Cheon Department of Mechanical Engineering, Korea Advanced Institute of Science and

More information

Emittance and Quantum Efficiency Measurements from a 1.6 cell S- Band Photocathode RF Gun with Mg Cathode *

Emittance and Quantum Efficiency Measurements from a 1.6 cell S- Band Photocathode RF Gun with Mg Cathode * LCLS-TN-4-3 SLAC PUB 763 September, 4 Emittance and Quantum Efficiency Measurements from a.6 cell S- Band Photocathode RF Gun with Mg Cathode * J.F. Schmerge, J.M. Castro, J.E. Clendenin, D.H. Dowell,

More information

EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 2 Stress & Strain - Axial Loading

EMA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 2 Stress & Strain - Axial Loading MA 3702 Mechanics & Materials Science (Mechanics of Materials) Chapter 2 Stress & Strain - Axial Loading MA 3702 Mechanics & Materials Science Zhe Cheng (2018) 2 Stress & Strain - Axial Loading Statics

More information

Project PAJ2 Dynamic Performance of Adhesively Bonded Joints. Report No. 3 August Proposed Draft for the Revision of ISO

Project PAJ2 Dynamic Performance of Adhesively Bonded Joints. Report No. 3 August Proposed Draft for the Revision of ISO NPL Report CMMT(A)81 Project PAJ2 Dynamic Performance of Adhesively Bonded Joints Report No. 3 August 1997 Proposed Draft for the Revision of ISO 11003-2 Adhesives - Determination of Shear Behaviour of

More information

There are three main types of structure - mass, framed and shells.

There are three main types of structure - mass, framed and shells. STRUCTURES There are three main types of structure - mass, framed and shells. Mass structures perform due to their own weight. An example would be a dam. Frame structures resist loads due to the arrangement

More information

Analysis of Non-Linear Machine Tool Dynamic Behaviour

Analysis of Non-Linear Machine Tool Dynamic Behaviour Proceedings of the 5 th Manufacturing Engineering Society International Conference Zaragoza June 13 Analysis of Non-Linear Machine Tool Dynamic Behaviour A. S. Delgado (1), E. Ozturk (), N. Sims (3) (1)

More information

CHAPTER THREE SYMMETRIC BENDING OF CIRCLE PLATES

CHAPTER THREE SYMMETRIC BENDING OF CIRCLE PLATES CHAPTER THREE SYMMETRIC BENDING OF CIRCLE PLATES * Governing equations in beam and plate bending ** Solution by superposition 1.1 From Beam Bending to Plate Bending 1.2 Governing Equations For Symmetric

More information

Lubrication and Journal Bearings

Lubrication and Journal Bearings UNIVERSITY OF HAIL College of Engineering Department of Mechanical Engineering Chapter 12 Lubrication and Journal Bearings Text Book : Mechanical Engineering Design, 9th Edition Dr. Badreddine AYADI 2016

More information

Lecture 8 Viscoelasticity and Deformation

Lecture 8 Viscoelasticity and Deformation Read: pg 130 168 (rest of Chpt. 4) 1 Poisson s Ratio, µ (pg. 115) Ratio of the strain in the direction perpendicular to the applied force to the strain in the direction of the applied force. For uniaxial

More information

Eurocode 3: Design of steel structures. Part 1-6: Strength and Stability of Shell Structures National Annex

Eurocode 3: Design of steel structures. Part 1-6: Strength and Stability of Shell Structures National Annex ICS 91.010.30, 91.080.10 SR EN 1993-1-6/NA STANDARD ROMÂN 2011 Eurocode 3: Design of steel structures. Part 1-6: Strength and Stability of Shell Structures National Annex Eurocod 3: Proiectarea structurilor

More information

N = N A Pb A Pb. = ln N Q v kt. = kt ln v N

N = N A Pb A Pb. = ln N Q v kt. = kt ln v N 5. Calculate the energy for vacancy formation in silver, given that the equilibrium number of vacancies at 800 C (1073 K) is 3.6 10 3 m 3. The atomic weight and density (at 800 C) for silver are, respectively,

More information

Influence of residual stresses in the structural behavior of. tubular columns and arches. Nuno Rocha Cima Gomes

Influence of residual stresses in the structural behavior of. tubular columns and arches. Nuno Rocha Cima Gomes October 2014 Influence of residual stresses in the structural behavior of Abstract tubular columns and arches Nuno Rocha Cima Gomes Instituto Superior Técnico, Universidade de Lisboa, Portugal Contact:

More information

Analysis of asymmetric radial deformation in pipe with local wall thinning under internal pressure using strain energy method

Analysis of asymmetric radial deformation in pipe with local wall thinning under internal pressure using strain energy method Analysis of asymmetric radial deformation in pipe with local wall thinning under internal pressure using strain energy method V.M.F. Nascimento Departameto de ngenharia Mecânica TM, UFF, Rio de Janeiro

More information

Stress-Strain Behavior

Stress-Strain Behavior Stress-Strain Behavior 6.3 A specimen of aluminum having a rectangular cross section 10 mm 1.7 mm (0.4 in. 0.5 in.) is pulled in tension with 35,500 N (8000 lb f ) force, producing only elastic deformation.

More information

M A C H I N E L I S T - P R O D U C T I O N P R O C E S S E S

M A C H I N E L I S T - P R O D U C T I O N P R O C E S S E S S P E C T R U M O F S E R V I C E S G R A P H I C S All commonly available programmes C O N S T R U C T I O N CAD, 3D construction, static loading, structural analysis interfaces to industrial construction

More information

STANDARD SAMPLE. Reduced section " Diameter. Diameter. 2" Gauge length. Radius

STANDARD SAMPLE. Reduced section  Diameter. Diameter. 2 Gauge length. Radius MATERIAL PROPERTIES TENSILE MEASUREMENT F l l 0 A 0 F STANDARD SAMPLE Reduced section 2 " 1 4 0.505" Diameter 3 4 " Diameter 2" Gauge length 3 8 " Radius TYPICAL APPARATUS Load cell Extensometer Specimen

More information

Precision Machine Design

Precision Machine Design Precision Machine Design Topic 3 Examples of errors Purpose: This lecture provides detailed examples of different types of errors, and shows how estimates can be made of their magnitude. Outline: Geometric

More information

High Tech High Top Hat Technicians. An Introduction to Solid Mechanics. Is that supposed to bend there?

High Tech High Top Hat Technicians. An Introduction to Solid Mechanics. Is that supposed to bend there? High Tech High Top Hat Technicians An Introduction to Solid Mechanics Or Is that supposed to bend there? Why don't we fall through the floor? The power of any Spring is in the same proportion with the

More information

Evaluation of Shear Energy in Turning Process Using DOE Approach

Evaluation of Shear Energy in Turning Process Using DOE Approach IJRMET Vo l. 6, Is s u e 1, No v 2015-Ap r i l 2016 ISSN : 2249-5762 (Online ISSN : 2249-5770 (Print Evaluation of Shear Energy in Turning Process Using DOE Approach 1 A.Kannan, 2 N.Prasanna Venkateshvaralu

More information

INDENTATION RESISTANCE OF AN ALUMINIUM FOAM

INDENTATION RESISTANCE OF AN ALUMINIUM FOAM Scripta mater. 43 (2000) 983 989 www.elsevier.com/locate/scriptamat INDENTATION RESISTANCE OF AN ALUMINIUM FOAM O.B. Olurin, N.A. Fleck and M.F. Ashby Cambridge University Engineering Department, Cambridge,

More information

Optimization Of Process Parameters In Drilling Using Taguchi Method

Optimization Of Process Parameters In Drilling Using Taguchi Method Optimization Of Process Parameters In Drilling Using Taguchi Method 1 P.Surendra, 2 B.Krishna Murthy, 3 M.V.Kiran Kumar 1 Associate Professor, 2 Assistant Professor, 3 Assistant Professor Department of

More information

NORMAL STRESS. The simplest form of stress is normal stress/direct stress, which is the stress perpendicular to the surface on which it acts.

NORMAL STRESS. The simplest form of stress is normal stress/direct stress, which is the stress perpendicular to the surface on which it acts. NORMAL STRESS The simplest form of stress is normal stress/direct stress, which is the stress perpendicular to the surface on which it acts. σ = force/area = P/A where σ = the normal stress P = the centric

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS Third E CHAPTER 2 Stress MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr. John T. DeWolf Lecture Notes: J. Walt Oler Texas Tech University and Strain Axial Loading Contents Stress & Strain:

More information

Friction and Wear Bench Tests of Different Engine Liner Surface Finishes

Friction and Wear Bench Tests of Different Engine Liner Surface Finishes Friction and Wear Bench Tests of Different Engine Liner Surface Finishes 34 th Leeds-Lyon Symposium on Tribology 2007 Eduardo Tomanik MAHLE Brazil Tech Center Tomanik E. Friction and wear bench tests of

More information

6.4 A cylindrical specimen of a titanium alloy having an elastic modulus of 107 GPa ( psi) and

6.4 A cylindrical specimen of a titanium alloy having an elastic modulus of 107 GPa ( psi) and 6.4 A cylindrical specimen of a titanium alloy having an elastic modulus of 107 GPa (15.5 10 6 psi) and an original diameter of 3.8 mm (0.15 in.) will experience only elastic deformation when a tensile

More information

Table of Contents. Preface...xvii. Part 1. Level

Table of Contents. Preface...xvii. Part 1. Level Preface...xvii Part 1. Level 1... 1 Chapter 1. The Basics of Linear Elastic Behavior... 3 1.1. Cohesion forces... 4 1.2. The notion of stress... 6 1.2.1. Definition... 6 1.2.2. Graphical representation...

More information

TOUGHNESS OF PLASTICALLY-DEFORMING ASYMMETRIC JOINTS. Ford Research Laboratory, Ford Motor Company, Dearborn, MI 48121, U.S.A. 1.

TOUGHNESS OF PLASTICALLY-DEFORMING ASYMMETRIC JOINTS. Ford Research Laboratory, Ford Motor Company, Dearborn, MI 48121, U.S.A. 1. TOUGHNESS OF PLASTICALLY-DEFORMING ASYMMETRIC JOINTS M. D. Thouless, M. S. Kafkalidis, S. M. Ward and Y. Bankowski Department of Mechanical Engineering and Applied Mechanics, University of Michigan, Ann

More information

Stability of orthogonal turning processes

Stability of orthogonal turning processes Stability of orthogonal turning processes M.A.M. Haring DC 21.16 Traineeship report Coach: A. Aygun, M.A.Sc. candidate (The University of British Columbia) Supervisors: Prof. H. Nijmeijer Prof. Y. Altintas

More information

Contents. Chapter 1 Introduction Chapter 2 Unacceptable Cam Curves Chapter 3 Double-Dwell Cam Curves... 27

Contents. Chapter 1 Introduction Chapter 2 Unacceptable Cam Curves Chapter 3 Double-Dwell Cam Curves... 27 Contents Chapter 1 Introduction... 1 1.0 Cam-Follower Systems... 1 1.1 Fundamentals... 1 1.2 Terminology... 4 Type of Follower Motion... 4 Type of Joint Closure... 4 Type of Follower... 5 Type of Cam...

More information

Prediction Models by Response Surface Methodology for Turning Operation

Prediction Models by Response Surface Methodology for Turning Operation American Journal of Modeling and Optimization, 2015, Vol. 3, No. 1, 1-6 Available online at http://pubs.sciepub.com/ajmo/3/1/1 Science and Education Publishing DOI:10.12691/ajmo-3-1-1 Prediction Models

More information

MECHANICS OF MATERIALS

MECHANICS OF MATERIALS STATICS AND MECHANICS OF MATERIALS Ferdinand P. Beer E. Russell Johnston, Jr, John T. DeWolf David E Mazurek \Cawect Mc / iur/» Craw SugomcT Hilt Introduction 1 1.1 What is Mechanics? 2 1.2 Fundamental

More information

Analytical and experimental evaluation of the stress-strain curves of sheet metals by hydraulic bulge tests

Analytical and experimental evaluation of the stress-strain curves of sheet metals by hydraulic bulge tests Analytical and experimental evaluation of the stress-strain curves of sheet metals by hydraulic bulge tests Lucian LĂZĂRESCU 1, a, Dan-Sorin COMŞA 1,b and Dorel BANABIC 1,c 1 Technical University of Cluj-Napoca,

More information

This annex is valid from: to Replaces annex dated: Location(s) where activities are performed under accreditation

This annex is valid from: to Replaces annex dated: Location(s) where activities are performed under accreditation Wiltonstraat 25 3905 KW Veenendaal The Netherlands Location(s) where activities are performed under accreditation Head Office Location Abbreviation/ location Main Location Wiltonstraat 25 3905 KW Veenendaal

More information

Design of Beams (Unit - 8)

Design of Beams (Unit - 8) Design of Beams (Unit - 8) Contents Introduction Beam types Lateral stability of beams Factors affecting lateral stability Behaviour of simple and built - up beams in bending (Without vertical stiffeners)

More information

Bearing Technologies: An Overview

Bearing Technologies: An Overview Bearing Technologies: An Overview Dr. H. Hirani Assistant Professor, Mechanical Engineering INDIAN INSTITUTE OF TECHNOLOGY BOMBAY I.I.T. Bombay 1 I.I.T. Bombay Computer Hard disk with read/write head Tribo-Pair

More information

Fatigue Problems Solution

Fatigue Problems Solution Fatigue Problems Solution Problem 1. (a) Given the values of σ m (7 MPa) and σ a (1 MPa) we are asked t o compute σ max and σ min. From Equation 1 Or, σ m σ max + σ min 7 MPa σ max + σ min 14 MPa Furthermore,

More information