Consider the forces acting on the chip during an orthogonal cutting as shown in Figure 3. The cutting operation is performed using a rake angle a, chip thickness before the cut to and width of cut b. The chip thickness ratio r is measured after the cut as shown in Table 2. The shear strength of the work material is t. Determine (a) the chip thickness after the cut tc, (b) shear angle p, (c) friction angle ß, Tool (d) coefficient of friction u, Chip F (e) shear strain y. -V Fs (f) the shear force F, (g) cutting force F, Fn R. (h) thrust force F;, Workpiece (i) normal force Fn, (i) friction force. Figure 3 a (degree) =15 t (inch) = 0.014 b (inch) = 0.18 r = 0.60 T (lb/in2 ) = 50,000

Consider the forces acting on the chip during an orthogonal cutting as shown in Figure 3. The cutting operation is performed using a rake angle a, chip thickness before the cut to and width of cut b. The chip thickness ratio r is measured after the cut as shown in Table 2. The shear strength of the work material is t. Determine (a) the chip thickness after the cut tc, (b) shear angle p, (c) friction angle ß, Tool (d) coefficient of friction u, Chip F (e) shear strain y. -V Fs (f) the shear force F, (g) cutting force F, Fn R. (h) thrust force F;, Workpiece (i) normal force Fn, (i) friction force. Figure 3 a (degree) =15 t (inch) = 0.014 b (inch) = 0.18 r = 0.60 T (lb/in2 ) = 50,000

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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An 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.
Q3:- 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. Suppose the rake angle were changed to a= 0°. Assuming that the friction angle remains the same, determine (a) the shear plane angle, (b) the chip thickness, and (c) the shear strain for the operation.
Manufacturing Process In a turning operation on stainless steel with hardness = 200 HB, the cutting speed = 200m/min, feed = 0.25 mm/rev, and depth of cut =7.5 mm. Determine how much power will the lathe machine draw in performing this operation if its mechanical efficiency = 90 %. Use specific energy value is: U = 2.8 J/mm
a) Define specific energy for plane strain machining (cutting). b) In plane-strain orthogonal machining, the two main sources of energy dissipation are deformation along the shear plane (~70%) and friction at the tool-chip contact along the rake face (~30%). Consider plane-strain machining of a rigid perfectly-plastic work material whose uniaxial yield stress is 700 MPa, and is independent of strain rate and temperature. A tool of zero-degree rake angle is employed. Measurements showed the (deformed) chip thickness to be twice that of the undeformed chip thickness. Based on the aforementioned distribution of energy, estimate the specific energy for this process.
in shaft turning Steel raw material, diameter 40 mm., length 200 mm. to obtain a lathe workpiece diameter 35 mm., length 150 mm, as shown in the figure, with a cutting speed of 25 m/min and a rough-cutting feed rate (f) 0.2 mm/rev. The feed rate for finishing (f) 0.1 mm per revolution determines a depth for rough turning of not more than 1 mm and a depth for finishing of not more than 0.5 mm. Find 1) the speed of rotation used per minute. 2) Details of turning Such as how many rounds of rough turning, how many rounds of fine turning? 3) From the available data Find the approximate turning time in minutes.
Low carbon steel having a tensile strength of 450 MPa and a shear strength of 270 MPa is cut in a turning operation with a cutting speed of 2500 mm/s. The feed is 0.15 mm/rev, and the depth of cut is 0.25 cm. The rake angle of the tool is 12° in the direction of chip flow. The resulting chip ratio is 0.55. Using the orthogonal model as an approximation of turning, determine (a) the shear plane angle, (b) shear force, (c) cutting force and feed force.
Write down the steps required to proof the mathematical relation for SHEAR PLANE ANGLE in Orthogonal Cutting Model. i-e. Prove the following relation:
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2 1.60 For a turning operation using a ceramic cutting tool, if the speed is increased by 50% , by what factor must the feed rate be modified to obtain a constant tool life? Use n = 0.5 and y = 0.6.
A student is using a lathe with 80-hp and 80% efficiency to fabricate a copper alloy with Sy = 1200ksi If the width of cut is 0.30 inand the student set a rake angle of 0and a cutting speed of 200fl / min while she assumed a coefficient of friction to be 0.5. What is the maximum depth of cut the student can achieve?
Draw the forces and angles involved in the cutting process and calculate shear angle (Ø), friction coefficient and tangential force ,cutting force = 80 kN, resultant of forces =100KN. friction force=75KN, rake angle =20' undeformed chip thickness = 0.65mm and deformed chip thickness = 0.72mm vjall