Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 21, Problem 52QTP
Using trigonometric relationships, derive an expression for the ratio of shear energy to frictional energy in orthogonal cutting, in terms of angles α, β, and φ only.
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21.52 Using trigonometric relationships, derive an expression for the ratio of shear energy to frictional energy in orthogonal cutting, in terms of angles α , β , and Φ only.
Write down the steps required to proof the mathematical relation for SHEAR PLANE ANGLE in Orthogonal Cutting Model. i-e. Prove the following relation:
21.61 In Example 21.3, if the cutting speed V is doubled, will the answer be different? Explain.
Chapter 21 Solutions
Manufacturing Engineering & Technology
Ch. 21 - Explain why continuous chips are not necessarily...Ch. 21 - Name the factors that contribute to the formation...Ch. 21 - What is the cutting ratio? Is it always less than...Ch. 21 - Explain the difference between positive and...Ch. 21 - Explain how a dull tool can lead to negative rake...Ch. 21 - Comment on the role and importance relief angle.Ch. 21 - Explain the difference between discontinuous chips...Ch. 21 - Why should we be interested in the magnitude of...Ch. 21 - What are the differences between orthogonal and...Ch. 21 - What is a BUE? Why does it form?
Ch. 21 - Is there any advantage to having a built-up edge...Ch. 21 - What is the function of chip breakers? How do they...Ch. 21 - Identify the forces involved in a cutting...Ch. 21 - Explain the characteristics of different types of...Ch. 21 - List the factors that contribute to poor surface...Ch. 21 - Explain what is meant by the term machinability...Ch. 21 - What is shaving in machining? When would it be...Ch. 21 - List reasons that machining operations may be...Ch. 21 - Are the locations of maximum temperature and...Ch. 21 - Is material ductility important for machinability?...Ch. 21 - Explain why studying the types of chips produced...Ch. 21 - Prob. 22QLPCh. 21 - Tool life can be almost infinite at low cutting...Ch. 21 - Explain the consequences of allowing temperatures...Ch. 21 - The cutting force increases with the depth of cut...Ch. 21 - Why is it not always advisable to increase the...Ch. 21 - What are the consequences if a cutting tool chips?Ch. 21 - What are the effects of performing a cutting...Ch. 21 - Prob. 29QLPCh. 21 - Prob. 30QLPCh. 21 - Prob. 31QLPCh. 21 - Prob. 32QLPCh. 21 - Comment on your observations regarding Figs. 21.1...Ch. 21 - Prob. 34QLPCh. 21 - Comment on your observations regarding the...Ch. 21 - Why does the temperature in cutting depend on the...Ch. 21 - You will note that the values of a and b in Eq....Ch. 21 - Prob. 38QLPCh. 21 - Prob. 39QLPCh. 21 - Explain whether it is desirable to have a high or...Ch. 21 - The Taylor tool-life equation is directly...Ch. 21 - Prob. 42QLPCh. 21 - Why are tool temperatures low at low cutting...Ch. 21 - Can high-speed machining be performed without the...Ch. 21 - Prob. 45QLPCh. 21 - Prob. 46QLPCh. 21 - State whether or not the following statements are...Ch. 21 - Let n = 0.5 and C = 400 in the Taylor equation for...Ch. 21 - Assume that, in orthogonal cutting, the rake angle...Ch. 21 - Prob. 50QTPCh. 21 - Prob. 51QTPCh. 21 - Using trigonometric relationships, derive an...Ch. 21 - An orthogonal cutting operation is being carried...Ch. 21 - Prob. 54QTPCh. 21 - Prob. 55QTPCh. 21 - Prob. 56QTPCh. 21 - Show that, for the same shear angle, there are two...Ch. 21 - With appropriate diagrams, show how the use of a...Ch. 21 - In a cutting operation using a 5 rake angle, the...Ch. 21 - For a turning operation using a ceramic cutting...Ch. 21 - In Example 21.3, if the cutting speed V is...Ch. 21 - Using Eq. (21.30), select an appropriate feed for...Ch. 21 - With a carbide tool, the temperature in a cutting...Ch. 21 - The following flank wear data were collected in a...Ch. 21 - The following data are available from orthogonal...Ch. 21 - Prob. 66QTPCh. 21 - Design an experimental setup whereby orthogonal...Ch. 21 - Describe your thoughts on whether chips produced...Ch. 21 - Recall that cutting tools can be designed so that...Ch. 21 - Recall that the chip-formation mechanism also can...Ch. 21 - Prob. 73SDPCh. 21 - Describe your thoughts regarding the recycling of...Ch. 21 - List products that can be directly produced from...Ch. 21 - Obtain a wood planer and some wood specimens. Show...Ch. 21 - It has been noted that the chips from certain...Ch. 21 - As we have seen, chips carry away the majority of...
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- 2 1.46 Explain why the power requirements in cutting depend on the cutting force but not the thrust force.arrow_forwardAn orthogonal cutting operation is being carried out under the following conditions: t0=0.38 mm, tc=0.65 mm, width of the cut= 2.5 mm, V=3.5 m/s, rake angle=6°, Fc= 515 N, and Ft=210 N. Calculate the percentage of the total energy that is dissipated in the shear plane.arrow_forward21.8 Why should we be interested in the magnitude of the thrust force in cutting?arrow_forward
- Manufacturing Processes What is the effect of shear plane angle in metal cutting? Illustrate with diagramarrow_forwardDiscuss the effects of cutting speed, feed rate, and depth of cut on the tool wear rate during a turning operation. How does each parameter influence the surface finish of the workpiece? Provide a detailed explanation based on the principles of metal cutting mechanics.arrow_forwardWhat are the functions served by cutting fluid? Give broad classification of cutting fluid and explain each in detail .arrow_forward
- A tool with zero rake angle used in orthogonal cutting when its clearance angle a is changed from 10 to 7 deg, Calculate the approximate % change in the life of the tool.arrow_forwardFind the time required for one full cut on a work piece of 350mm long and 20 mm in diameter. The cutting speed is 30 meters per minute and the feed is 0.5mm per revolution. Average. SHOW YOUR SOLUTION WITH DRAWINGSarrow_forwardAssume that in orthogonal cutting the rake angle is 15o and the coefficient of friction is 0.15. Using Eq. 8.20, determine the percentage increase in chip thickness when the coefficient of friction is doubled.arrow_forward
- Draw the forces and angles involved in the cutting process and calculate shear angle (0), friction coefficient and tangential force if ,cutting force = 80 kN, resultant of forces =100kN, friction force=75kN, rake angle =20° undeformed chip thickness = 0.65mm and deformed chip thickness = 0.72mmarrow_forwardAssuming that the coefficient of friction is 0.25, calculate the maximum depth of cut forturning a hard aluminium alloy on a 15-kW lathe (with a mechanical efficieny of 80%) at awidth of cut of 6 mm, rake angle of 0˚, and a cutting speed of 90 m/min, shear strength of 150 MPa.arrow_forwardExplain the mechanics of metal cutting with neat sketch. Why machining of ductile and brittle material leads to form continuous and discontinuous chip respectively?arrow_forward
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