Machining

Illustration of feed marks generation in turning with a sharp tool having 90 degree principal cutting edge angle

Question: In plain turning of a brass rod at a feed of 0.4 mm/rev, what will be the theoretical maximum surface roughness, if (i) the tool is relatively sharp with principal and auxiliary cutting edge angles of 90° and 20°, and (ii) the tool has a considerable nose radius of r = 1.0 mm. [Machining and Machine Tools by A. B. Chattopadhyay] This question is related to the calculation of

Taylor’s Tool Life curve when tool life increases 300% for the reduction of cutting speed by 50%

Question: Using the Taylor equation VTn = C, calculate the percentage increase in tool life when the cutting speed is reduced by 50% (n = 0∙5 and C = 400). [IAS 2002] This is a simple problem based on the Taylor equation of tool life. The Taylor’s Tool Life equation provides an exponential relationship between the cutting velocity and tool life, as given below. The V indicates cutting velocity (m/min),

Lay marks generation in turning owing to continuous feed of the tool having 90 degree principal cutting edge angle

Question: During plain turning a brass rod by a turning tool whose principal cutting edge angle is 90° and auxiliary cutting edge angle 20°, the maximum surface roughness has been found to be 0.20 mm. At how much feed rate of the tool, the turning was carried out? [Machining and Machine Tools by A. B. Chattopadhyay] The lay marks that are generated owing to the continuous feed of the cutting

Theoretical surface roughness formulas for turning with sharp tool and tool with nose radius

Question: While turning a brass rod by a sharp cutting tool in a given condition, how much (in percentage) change will occur in surface roughness if only the depth of cut is changed from 2.0 mm to 2.5 mm. [Machining and Machine Tools by A. B. Chattopadhyay] Conventional machining processes inherently generate lay marks owing to the continuous feed of the tool. This feed marks primarily determine the theoretical surface

Calculate change in the tool life if cutting speed is reduced by 50%

Question: In a single point turning operation with cemented carbide tool and steel work piece, it is found that the Taylor’s exponent is 0.25. If the cutting speed is reduced by 50% then what will be the change in the tool life? [GATE 2016] This problem related to the tool life in single point turning operation can be solved using the Taylor’s Tool Life equation. The well-known Taylor’s Tool Life

Taylor’s Tool Life curve when tool life increases 16 times if the cutting speed is halved

Question: In a single-point turning operation of steel with a cemented carbide tool, Taylor’s tool life exponent is 0.25. If the cutting speed is halved, how many times the tool life will increase? [ISRO 2013, IAS 1995] This problem can be solved using well-known Taylor’s Tool Life equation which provides the exponential relationship between cutting velocity and tool life. The generalized form of Taylor’s Tool Life equation is shown below.

Taylor's tool life curve when doubling the cutting speed reduces the tool life to 0.125 of the original value

Question: In a machining operation, doubling the cutting speed reduces the tool life to 1/8th of the original value. What is the value of the exponent n in Taylor’s tool life equation? [GATE 2004] This is one simple problem that can be solved using Taylor’s Tool Life equation. In general, the tool life indicates the duration of time within which a cutting tool can provide satisfactory performance in machining. The

Variation of Taylor’s tool life equation in a speed vs tool life curve

Question: A 50 mm diameter steel rod was turned at 284 rpm and tool failure occurred in 10 minutes. The speed was changed to 232 rpm and the tool failed in 60 minutes. Assuming straight line relationship between cutting speed and tool life, calculate the value of Taylorian Exponent (n). [ISRO 2011] Tool life indicates the duration of time within which a cutting tool provides satisfactory performance in machining. Taylor’s

Schematic for Taylor’s tool life equation for n = 0.26 and C = 182

Question: In an orthogonal machining operation, the tool life obtained is 10 min at a cutting speed of 100 m/min, while at 75 m/min cutting speed, the tool life is 30 min. What is the value of index (n) in the Taylor’s tool life equation? [GATE 2009] In this problem, two cutting velocities and corresponding tool life values are given. The task is to calculate the index (or Taylor’s exponent,

Velocity vs Tool Life curve using Taylor’s Tool Life equation for n of 0.5 and C of 400

Question: In a machining test, a cutting speed of 100 m/min indicated the tool life as 16 min, and a cutting speed of 200 m/min indicated the tool life as 4 min. What are the values of n and C? [ESE 2016] This is a straightforward problem on tool life that can be solved simply by using Taylor’s Tool Life equation. Here, two cutting velocities and the corresponding tool life