HW_1_IE215_Sol_f10
2 Pages

HW_1_IE215_Sol_f10

Course: IE IE 215, Fall 2010

School: Lehigh

Word Count: 798

Rating:

Document Preview

21.1 In an orthogonal cutting operation, the tool has a rake angle = 15. The chip thickness before the cut = 0.30 mm and the cut yields a deformed chip thickness = 0.65 mm. Calculate (a) the shear plane angle and (b) the shear strain for the operation. Solution: (a) r = to/tc = 0.30/0.65 = 0.4615 = tan-1(0.4615 cos 15/(1 - 0.4615 sin 15)) = tan-1(0.5062) = 26.85 (b) Shear strain = cot 26.85 + tan (26.85 - 15) =...

Unformatted Document Excerpt
Coursehero >> Pennsylvania >> Lehigh >> IE IE 215

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

In 21.1 an orthogonal cutting operation, the tool has a rake angle = 15. The chip thickness before the cut = 0.30 mm and the cut yields a deformed chip thickness = 0.65 mm. Calculate (a) the shear plane angle and (b) the shear strain for the operation. Solution: (a) r = to/tc = 0.30/0.65 = 0.4615 = tan-1(0.4615 cos 15/(1 - 0.4615 sin 15)) = tan-1(0.5062) = 26.85 (b) Shear strain = cot 26.85 + tan (26.85 - 15) = 1.975 + 0.210 = 2.185 21.4 In a turning operation, spindle speed is set to provide a cutting speed of 1.8 m/s. The feed and depth of cut of cut are 0.30 mm and 2.6 mm, respectively. The tool rake angle is 8. After the cut, the deformed chip thickness is measured to be 0.49 mm. Determine (a) shear plane angle, (b) shear strain, and (c) material removal rate. Use the orthogonal cutting model as an approximation of the turning process. Solution: (a) r = to/tc = 0.30/0.49 = 0.612 = tan-1(0.612 cos 8/(1 0.612 sin 8)) = tan-1(0.6628) = 33.6 (b) = cot 33.6 + tan (33.6 - 8) = 1.509 + 0.478 = 1.987 (c) RMR = (1.8 m/s x 103 mm/m)(0.3)(2.6) = 1404 mm3/s 21.10 The shear strength of a certain work material = 50,000 lb/in2. An orthogonal cutting operation is performed using a tool with a rake angle = 20 at the following cutting conditions: cutting speed = 100 ft/min, chip thickness before the cut = 0.015 in, and width of cut = 0.150 in. The resulting chip thickness ratio = 0.50. Determine (a) the shear plane angle, (b) shear force, (c) cutting force and thrust force, and (d) friction force. Solution: (a) = tan-1(0.5 cos 20/(1 - 0.5 sin 20)) = tan-1(0.5668) = 29.5 (b) As = (0.015)(0.15)/sin 29.5 = 0.00456 in2. Fs = AsS = 0.00456(50,000) = 228 lb (c) = 2(45) + - 2() = 90 + 20 - 2(29.5) = 50.9 Fc = 228 cos (50.9 - 20)/cos (29.5 + 50.9 -20) = 397 lb Ft = 228 sin (50.9 - 20)/cos (29.5 + 50.9 -20) = 238 lb (d) F = 397 sin 20 + 238 cos 20 = 359 lb The following problem should have been assigned instead of 21.18. 21.19 In a turning operation on stainless steel with hardness = 200 HB, the cutting speed = 200 m/min, feed = 0.25 mm/rev, and depth of cut = 7.5 mm. How much power will the lathe draw in performing this operation if its mechanical efficiency = 90%. Use Table 21.2 to obtain the appropriate specific energy value. Solution: From Table 21.2, U = 2.8 N-m/mm3 = 2.8 J/mm3 RMR = vfd = (200 m/min)(103 mm/m)(0.25 mm)(7.5 mm) = 375,000 mm3/min = 6250 mm3/s Pc = (6250 mm3/s)(2.8 J/mm3) = 17,500 J/s = 17,500 W = 17.5 kW Accounting for mechanical efficiency, Pg = 17.5/0.90 = 19.44 kW 21.30 A turning operation is performed on an engine lathe using a tool with zero rake angle in the direction of chip flow. The work material is an alloy steel with hardness = 325 Brinell hardness. The feed is 0.015 in/rev, depth of cut is 0.125 in and cutting speed is 300 ft/min. After the cut, the chip thickness is ratio measured to be 0.45. (a) Using the appropriate value of specific energy from Table 21.2, compute the horsepower at the drive motor, if the lathe has an efficiency = 85%. (b) Based on horsepower, compute your best estimate of the cutting force for this turning operation. Use the orthogonal cutting model as an approximation of the turning process. Solution: (a) From Table 21.2, U = Pu = 520,000 in-lb/in3 for alloy steel of the specified hardness. Since feed is greater than 0.010 in/rev in the table, a correction factor must be applied from Figure 21.14. For f = 0.015 in/rev = to, correction factor = 0.95. Thus, U = 520,000(0.95) = 494,000 in-lb/in3 = 41,167 ft-lb/in3. RMR = 300 x 12(.015)(0.125) = 6.75 in3/min Pc = U RMR = 41,167(6.75) = 277,875 ft-lb/min HPc = 277,875/33,000 = 8.42 hp HPg = 8.42/0.85 = 9.9 hp (b) HPc = vFc/33,000. Rearranging, Fc = 33,000 (HPc/v) = 33,000(8.42/300) = 926 lb. Check: Use unit horsepower from Table 21.2 rather than specific energy. HPu = 1.3 hp/(in3/min). Applying the correction factor correction factor = 0.95, HPu = 1.235 hp/(in3/min). RMR = 300 x 12(.015)(0.125) = 6.75 in3/min, same as before HPc = 1.235(6.75) = 8.34 hp HPg = 8.34/0.85 = 9.8 hp (b) Fc = 33,000 (8.3/300) = 913 lb. 21.33 Orthogonal cutting is performed on a metal whose mass specific heat = 1.0 J/g-C, density = 2.9 g/cm3, and thermal diffusivity = 0.8 cm2/s. The cutting speed is 4.5 m/s, uncut chip thickness is 0.25 mm, and width of cut is 2.2 mm. The cutting force is measured at 1170 N. Using Cook's equation, determine the cutting temperature if the ambient temperature = 22C. Solution: C = (2.9 g/cm3)(1.0 J/g-C) = 2.90 J/cm3-C = (2.90x10-3) J/mm3-C K = 0.8 cm2/s = 80 mm2/s U = Fcv/RMR = 1170 N x 4.5 m/s/(4500 mm/s x 0.25 mm x 2.2 mm) = 2.127 N-m/mm3 T = 0.4U/(C) x (vto/K)0.333 T = 22 + (0.4 x 2.127 N-m/mm3/(2.90x10-3) J/mm3-C) [4500 mm/s x 0.25 mm/80 mm2/s]0.333 T = 22 + (0.2934 x 103 C)(14.06).333 = 22 + 293.4(2.41) = 22 + 707 = 729C 21.36 It is desired to estimate the cutting temperature for a certain alloy steel whose hardness = 240 Brinell. Use the appropriate value of specific energy from Table 21.2 and compute the cutting temperature by means of the Cook equation for a turning operation in which the cutting speed is 500 ft/min, feed is 0.005 in/rev, and depth of cut is 0.070 in. The work material has a volumetric specific heat of 210 in lb/in3-F and a thermal diffusivity of 0.16 in2/sec. Assume ambient temperature = 88F. Solution: From Table 21.2, U for alloy steel (310 BHN) = 320,000 in-lb/in3. Since f = 0.005 in/rev, correction factor = 1.25. Therefore U = 320,000(1.25) = 400,000 in-lb/in3. v = 500 ft/min x 12 in/ft/60 sec/min = 100 in/sec. T = Ta + (0.4U/C)(vto/K)0.333 = 88 + (0.4 x 400,000/210)(100 x 0.005/0.16)0.333 = 88 + (762)(3.125)0.333 = 88 + 1113 = 1201F

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Lehigh - IE - IE 215
22.1A cylindrical workpart 200 mm in diameter and 700 mm long is to be turned in an engine lathe. Cutting speed = 2.30 m/s, feed = 0.32 mm/rev, and depth of cut = 1.80 mm. Determine (a) cutting time, and (b) metal removal rate. Solution: (a) N = v/(D) =
Lehigh - IE - IE 215
INTRODUCTION AND OVERVIEW OF MANUFACTURING1. 2. 3. 4. 5. 6. What is Manufacturing? Materials in Manufacturing Manufacturing Processes Production Systems Trends in Manufacturing Organization of the Book2010 John Wiley & Sons, Inc. M P Groover, Fundamenta
Lehigh - IE - IE 215
FUNDAMENTALS OF METAL CASTING1. Overview of Casting Technology 2. Heating and Pouring 3. Solidification and Cooling2010 John Wiley & Sons, Inc. M P Groover, Fundamentals of Modern Manufacturing 4/eSolidification ProcessesStarting work material is eith
Lehigh - IE - IE 215
SHAPING PROCESSES FOR PLASTICS1. Properties of Polymer Melts 2. Extrusion 3. Production of Sheet, Film, and Filaments 4. Coating Processes 5. Injection Molding 6. Other Molding Processes 7. Thermoforming 8. Casting 9. Polymer Foam Processing and Forming
Lehigh - IE - IE 215
Injection MoldingPolymer is heated to a highly plastic state and forced to flow under high pressure into a mold cavity where it solidifies and the molding is then removed from cavity Produces discrete components almost always to net shape Typical cycle t
Lehigh - IE - IE 215
POWDER METALLURGY1. 2. 3. 4. 5. 6. The Characterization of Engineering Powders Production of Metallic Powders Conventional Pressing and Sintering Alternative Pressing and Sintering Techniques Materials and Products for PM Design Considerations in Powder
Lehigh - IE - IE 215
FUNDAMENTALS OF METAL FORMING1. 2. 3. 4. 5. Overview of Metal Forming Material Behavior in Metal Forming Temperature in Metal Forming Strain Rate Sensitivity Friction and Lubrication in Metal Forming2010 John Wiley & Sons, Inc. M P Groover, Fundamentals
Lehigh - IE - IE 215
BULK DEFORMATION PROCESSES IN METALWORKING1. 2. 3. 4. 5. 6. Rolling Other Deformation Processes Related to Rolling Forging Other Deformation Processes Related to Forging Extrusion Wire and Bar Drawing2010 John Wiley & Sons, Inc. M P Groover, Fundamental
Lehigh - IE - IE 215
SHEET METALWORKING1. 2. 3. 4. 5. 6. 7. Cutting Operations Bending Operations Drawing Other Sheet Metal Forming Operations Dies and Presses for Sheet Metal Processes Sheet Metal Operations Not Performed on Presses Bending of Tube Stock2010 John Wiley & S
Lehigh - IE - IE 215
THEORY OF METAL MACHINING1. 2. 3. 4. 5. Overview of Machining Technology Theory of Chip Formation in Metal Machining Force Relationships and the Merchant Equation Power and Energy Relationships in Machining Cutting Temperature2010 John Wiley & Sons, Inc
Lehigh - IE - IE 215
MACHINING OPERATIONS AND MACHINE TOOLS1. Turning and Related Operations 2. Drilling and Related Operations 3. Milling 4. Machining Centers and Turning Centers 5. Other Machining Operations 6. Machining Operations for Special Geometries 7. High Speed Mach
Lehigh - IE - IE 215
CUTTING TOOL TECHNOLOGY1. 2. 3. 4. Tool Life Tool Materials Tool Geometry Cutting Fluids2010 John Wiley & Sons, Inc. M P Groover, Fundamentals of Modern Manufacturing 4/eCutting Tool TechnologyTwo principal aspects: 1. Tool material 2. Tool geometry2
Lehigh - IE - IE 215
ECONOMIC AND PRODUCT DESIGN CONSIDERATIONS IN MACHINING1. 2. 3. 4. Machinability Tolerances and Surface Finish Selection of Cutting Conditions Product Design Considerations in Machining2010 John Wiley & Sons, Inc. M P Groover, Fundamentals of Modern Man
Lehigh - IE - IE 215
10.1. A disk 40 cm in diameter and 5 cm thick is to be cast of pure aluminum in an open mold casting operation. The melting temperature of aluminum = 660C, and the pouring temperature will be 800C. Assume that the amount of aluminum heated will be 5% more
Lehigh - IE - IE 215
I E 215 HOMEWORK CHAPTER 1818.1. The strength coefficient = 550 MPa and strain-hardening exponent = 0.22 for a certain metal. During a forming operation, the final t rue strain that the metal experiences = 0.85. Determine the flow stress at this strain a
Lehigh - IE - IE 215
IE 215 HOMEWORK 7 Bulk Deformation Solutions 19.14. A cylindrical part is warm upset forged in an open die. The initial diameter is 45 mm and the initial height is 40 mm. The height after forging is 25 mm. The coefficient of friction at the diework interf
Lehigh - IE - IE 215
Injection Molding1. Compute the percentage volumetric contraction of a polyethylene molded part, based on thevalue of shrinkage given in Table 13.1. Solution: S = 0.025 for polyethylene from Table 13.1. Volumetric contraction = 1.0 - (1 - .025)3 = 1.0 -
Lehigh - IE - IE 215
FUNDAMENTALS OF WELDING1. 2. 3. 4. Overview of Welding Technology The Weld Joint Physics of Welding Features of a Fusion Welded Joint2010 John Wiley & Sons, Inc. M P Groover, Fundamentals of Modern Manufacturing 4/eJoining and Assembly DistinguishedJo
Lehigh - IE - IE 215
Bonus Homework Assignment 5 points Metal Forming 18.11 A tensile test is carried out to determine the strength constant C and strain -rate sensitivity exponent m for a certain metal at 1000F. At a strain rate = 10/sec, the stress is measured at 23,000 lb/
Lehigh - IE - IE 215
PROCESSING OF INTEGRATED CIRCUITS1. 2. 3. 4. 5. 6. 7. Overview of IC Processing Silicon Processing Lithography Layer Processes Use in IC Fabrication Integrating the Fabrication Steps IC Packaging Yields in IC Processing2010 John Wiley & Sons, Inc. M P G
Lehigh - IE - IE 215
ELECTRONICS ASSEMBLY AND PACKAGING1. 2. 3. 4. 5. Electronics Packaging Printed Circuit Boards Printed Circuit Board Assembly Surface Mount Technology Electrical Connector Technology2010 John Wiley & Sons, Inc. M P Groover, Fundamentals of Modern Manufac
Lehigh - IE - IE 226
Lehigh - IE - IE 226
A Time 1 0 2 1 3 2 4 3 5 4 6 5 7 8 9 10 11 Sensitivity MARR 12 10.0% 13 12.5% 14 15.0% 15 17.5% 16 20.0% 17 18 OilPrice 19 $10.00 20 $15.00 21 $20.00 22 $25.00 23 $30.00 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39CashFlowsA $(1,000,000.00) $2,000,000
Lehigh - IE - IE 226
A B C 1 Chapter16:FireBoatReplacement 2 Age O&M SV 3 0 $375,000 4 1 $30,250 $262,500 5 2 $40,880 $249,375 6 3 $51,586 $236,906 7 4 $62,376 $225,061 8 5 $73,261 $213,808 9 6 $84,252 $203,117 10 7 $95,363 $192,962 11 8 $106,606 $183,314 12 13 14 15 16 17 18
Lehigh - IE - IE 226
Lehigh - IE - IE 226
Chapter12DrillProblems
Lehigh - IE - IE 226
IE 222 Operations Research, Deterministic Models - Final ExamProblem No. 7 (25 points) NAME DateYou are the foreman in a 12 person jury which is highly divided in search of a verdict. There is of course the murder weapon (a knife), testimony from some q
Simon Fraser - BUS - 251
Ch.1 A.What is Accounting?1.Accounting is an information system in which: >underlying economic conditions of organizations >individuals, are recorded, summarized, reported, and understood2.Struture: >Simple: +balancing your personal cheque book >Complex
Simon Fraser - ECON - 260
University of the East, Manila - CAS - 90589
InternetAddictionandAcademicPerformanceofSelected1stYearAccountancy StudentsOfSanBedaCollege,A.Y.20092010 SanBedaCollegeInternetAddictionandAcademicPerformanceof Selected1stYearAccountancyStudentsOfSanBeda College,A.Y.20092010 AThesis Presentedto TheF
University of the East, Manila - CAS - 90589
Far from where Need permission of Most are first of Lack Difficulty Unaware Estimated no. Equipment & Respondents Agenda NoIncompleteTravelProblem time private LackLack of Lack of of Lack time of Physical Environment Location time working Characteristics
University of the East, Manila - CAS - 90589
University of the East, Manila - CAS - 90589
The prophet Jeremiah and King Josiah were born at the end of the longest, darkest reign in Judah's history. Human sacrifice and practice of the black arts were just two features of the wickedness that filled Jerusalem from one end to the other with innoce
University of the East, Manila - CAS - 90589
KALBOndukan:Maypagasapaba?INIHARAPNINAANG,ARVINS. CABELIZA,TESSALONICAV. VISTA,ERICAMAEC.FILIPINO21AACKAYBb.ARACELLIT.FERNANDO2MARSO15,2010 SANBEDACOLLEGE MENDIOLA,MANILA Pansamantlang Balangkas Paksa: Ang mga pangunahing bansa na dahilan ng illegal
University of the East, Manila - CAS - 90589
PINAGSANGGUNIAN LIBROBUONG SANGGUNIAN Power from the forest: Politics of Illegal Logging Author: Vitug, Marites DanguilanPAKSANG NAKITA Resulta ng Illegal LoggingPAHINA 1-9 13-37 39-63 85-102 125-135Forest Policy and Politics in the Philippines By: Bi
University of the East, Manila - CAS - 90589
I.INTRODUCTION Characterized by faithfulness and obedience in a time of weakness and confusion, Jeremiah spoke the final words of Jehovah in Jerusalem, where He had placed the remembrance of His name, before this city was destroyed. Soon afterward began
University of the East, Manila - CAS - 90589
iiDepartmentofEnglish,ForeignLanguagesandLiteratureCollegeofArtsandSciences Mendiola,ManilaSANBEDACOLLEGEPerformanceRatinginEngl02 ThesisTitle: InternetAddictionandAcademicPerformanceofSelected1st YearAccountancyStudentsofSanBedaCollege,A.Y.20092010 D
University of the East, Manila - CAS - 90589
Philippines hosts the first national FLR workshop in Asia26 May 2006 | Events - Event Nearly 60 percent of Philippines official forest land lacks any forest cover today, and only 15 percent of the remainder is covered by closed forests. To help address t
University of the East, Manila - CAS - 90589
Philippines maps out danger sitesKarl Wilson, Foreign CorrespondentLast Updated: February 14. 2010 11:24PM UAE / February 14. 2010 7:24PM GMTRescuers and relatives search for survivors and bodies in Guinsaugon in the central Philippines four years ago,
Simon Fraser - BUS - 251
Basic Financial Statements BasicObjectives1. 2. 3. 4. 5. 6.Understand the accounting equation Know the implications of double entry accounting Distinguish between debits and credits Understand what a balance sheet illustrates about a company Know how a
Simon Fraser - ECON - 260
Econ 260 Final Exam Practice Questions1.Use a graph to show the deadweight loss associated with a market equilibrium in a market with a negative production externality.2. A market has a negative consumption externality with the following marginalcosts
Simon Fraser - ECON - 260
Vocabulary List for Midterm 2Chapter 5 Abatement cost Ambient damage function Emission damage function Marginal abatement costs Marginal damage function Threshold Total abatement cost Total damages Chapter 6 Benefit-cost ratio Cost-effectiveness analysis
Central Pennsylvania - MATH - 230
CNED 302 Quiz 3 Study Guide1.What is an administrative directive? An administrative directive is a written notification for a student to have NO direct and/or indirect contact, either physical or verbal. Indirect contact would include contact through fr
Lehigh - IE - IE 226
9.16P =65, 000( P/A, 9%, 5) +200 (P/G, 9%, 5) +500 shares of stock = 254, 272 + 500 shares of stock F = 257, 272 (F/P, 9%, 5) + 500 shares (60/share) =421, 325 Generous Electric F = 62, 000 (F/A, 9%, 5) + 600 shares of stock = 371, 070 + 600 shares of st
N.C. State - BADM - 331
Business Case Tutorial Series how to write an effective business case Module 1 - What is the Business CaseThis tutorial series focuses on how to write a business case. This tutorial is taken from Prosci's Business Case Toolkit which includes a complete b
UC Davis - PHYS - 123
N.C. State - BADM - 331
A llyson Koteski is a good example of what todays successful managers are like and t he skills they must have in dealing with the problems and challenges of managing i n the twenty-first century. This book is about the important managerial work that A lly
Purdue - STAT - 250
Parental Diagnosis Chorionic villus sampling (CVS) Involves biopsy of tissue from villous area of chorion transcervically or transabdominally, between 10th and 12h weeks of pregnancy. Advantage: allows result to be available at an early stage of pregnancy
N.C. State - BADM - 331
Manager Someone who coordinates and oversees the work of other people in order to accomplish organizational goals First-line managers The lowest level of management who manage the work of nonmanagerial employees and typically are directly or indirectly in
UC Davis - PHYS - 123
Singapore Management - BA - 335
Building an Enjoyable Workplace-Case of The Road to HellWhats happened?The case The Road to Hell is a story of two individuals with different backgrounds and points of view having different interpretations of an interview. John Baker is a successful we
N.C. State - BADM - 331
Hondas attempts to find ways to make employees jobs safer and better arent unique. Many organizations are doing the same. Why? To help employees be efficient and effective, especially in todays global competitive environment. As youll see in this chapter,
N.C. State - BADM - 331
Chapter 2 Notes 1Chapter 2L ea rning Outcomes Follow this Learning Outline as you read and study this chapter. 2.1 H istorical Background Of Management. Explain why studying management history is important. Describe some early evidences of management pr
N.C. State - BADM - 331
Chapter 3 POM 1CHAPTER 3Organization Culture and Environment Learning Outcomes Follow this Learning Outline as you read and study this chapter. 3.1 The Manager: Omnipotent Or Symbolic? Contrast the actions of managers according to the omnipotent and sym
N.C. State - BADM - 331
Introduction to the Case-Study Method(Adapted from: Seperich, G.J, M.J. Woolverton, J. G. Beierlein and D. E. Hahn, eds., Cases in Agribusiness Management, Gorsuch Scarisbrick, Publishers, Scottsdale, AZ 1996) The Seven Steps of Problem Analysis Using an
N.C. State - PSY - 300
THEORIES OF PERSONALITY (PSYC-475-N1B-10-IN2) > ASSIGNMENTS > REVIEW ASSESSMENT: EXAM 1Review Assessment: Exam 1Questio n12 out of 2 points Josef Breuer found that Anna O.'s condition improved when she openly expressed her feelings. He referred to this
N.C. State - PSY - 300
G lossaryAlt ruistic sur render A n ego-defense mechanism postulated by Anna Freud by which a person in ternalizes t he values of another person and lives his or her life in accordance w ith those values. A nal-expulsive character Character type that res
N.C. State - PSY - 300
G lossaryAnima Female component of the male psyche. A nimus M ale component of the female psyche. A rchetype I nheri ted predisposition to respond emotionally to certain aspects of the world. All t he archetypes taken together make up the collective unco
N.C. State - PSY - 300
Glossary Chapter 4Accusation Form of neurotic aggression that involves blaming other people for ones shortcomings and seeking revenge against those people. Aggression As a safeguarding strategy, aggression can take three forms: depreciation, accusation,
N.C. State - PSY - 300
S IG M U N D F RE U D (1856-1939)I N FL UE NCES Charcot: French neurologistHYPNOTISM & HYSTERIA Bernheim: Psthypnotic amnesia and Posthypnotic suggestion Breuer: Catharsis, Transference; STUD IES ON HYSTERIA is considered the beginning of the PSYCHOANLYT
N.C. State - PSY - 300
Chapter 4. Alfred Adler[*]Corbis/Bettmann Chapter Outline Biographical Sketch Organ Inferiority and Compensation Feelings of Inferiority Vaihingers Philosophy of As If Fictional Goals and Lifestyles Social Interest Mistaken Lifestyles Creative Self Safeg