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In an orthogonal cutting process, rake angle of the tool is 220 and friction angle is 260. Using Merchant’s shear angle relationship, the value of shear angle will be
- a)410
- b)420
- c)430
- d)440
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In an orthogonal cutting process, rake angle of the tool is 220 and fr...
As per Merchant’s analysis:
Most Upvoted Answer
In an orthogonal cutting process, rake angle of the tool is 220 and fr...
Circle diagram, we can analyze the cutting forces and determine the cutting conditions.
The Merchant circle diagram is a graphical method used to analyze the cutting forces in orthogonal cutting. It involves drawing a circle, called the Merchant circle, with the cutting force components represented as vectors on the circle.
In this case, the rake angle of the tool is 220 and the friction angle is 260. The rake angle is the angle between the cutting edge and the line perpendicular to the cutting direction, while the friction angle is the angle between the chip flow direction and the line perpendicular to the cutting direction.
To construct the Merchant circle diagram, we start by drawing a circle with a radius equal to the cutting force. The cutting force is perpendicular to the rake angle, so we draw a line from the center of the circle to the rake angle of 220.
Next, we draw a line from the rake angle of 220 to the friction angle of 260. This line represents the chip flow direction.
At the point where the line intersects the circle, we draw a line perpendicular to the chip flow direction. This line represents the resultant cutting force.
Finally, we draw a line from the center of the circle to the resultant cutting force. This line represents the normal cutting force.
By analyzing the Merchant circle diagram, we can determine the cutting conditions. The normal cutting force is the force acting perpendicular to the cutting direction, while the tangential cutting force is the force acting parallel to the cutting direction.
The normal cutting force can be calculated as the product of the cutting force and the cosine of the friction angle:
Normal cutting force = Cutting force * cos(friction angle)
The tangential cutting force can be calculated as the product of the cutting force and the sine of the friction angle:
Tangential cutting force = Cutting force * sin(friction angle)
Using the Merchant circle diagram, we can visually determine the cutting forces and analyze the cutting conditions in an orthogonal cutting process.
The Merchant circle diagram is a graphical method used to analyze the cutting forces in orthogonal cutting. It involves drawing a circle, called the Merchant circle, with the cutting force components represented as vectors on the circle.
In this case, the rake angle of the tool is 220 and the friction angle is 260. The rake angle is the angle between the cutting edge and the line perpendicular to the cutting direction, while the friction angle is the angle between the chip flow direction and the line perpendicular to the cutting direction.
To construct the Merchant circle diagram, we start by drawing a circle with a radius equal to the cutting force. The cutting force is perpendicular to the rake angle, so we draw a line from the center of the circle to the rake angle of 220.
Next, we draw a line from the rake angle of 220 to the friction angle of 260. This line represents the chip flow direction.
At the point where the line intersects the circle, we draw a line perpendicular to the chip flow direction. This line represents the resultant cutting force.
Finally, we draw a line from the center of the circle to the resultant cutting force. This line represents the normal cutting force.
By analyzing the Merchant circle diagram, we can determine the cutting conditions. The normal cutting force is the force acting perpendicular to the cutting direction, while the tangential cutting force is the force acting parallel to the cutting direction.
The normal cutting force can be calculated as the product of the cutting force and the cosine of the friction angle:
Normal cutting force = Cutting force * cos(friction angle)
The tangential cutting force can be calculated as the product of the cutting force and the sine of the friction angle:
Tangential cutting force = Cutting force * sin(friction angle)
Using the Merchant circle diagram, we can visually determine the cutting forces and analyze the cutting conditions in an orthogonal cutting process.
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In an orthogonal cutting process, rake angle of the tool is 220 and friction angle is 260. Using Merchant’s shear angle relationship, the value of shear angle will bea)410b)420c)430d)440Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In an orthogonal cutting process, rake angle of the tool is 220 and friction angle is 260. Using Merchant’s shear angle relationship, the value of shear angle will bea)410b)420c)430d)440Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an orthogonal cutting process, rake angle of the tool is 220 and friction angle is 260. Using Merchant’s shear angle relationship, the value of shear angle will bea)410b)420c)430d)440Correct answer is option 'C'. Can you explain this answer?.
In an orthogonal cutting process, rake angle of the tool is 220 and friction angle is 260. Using Merchant’s shear angle relationship, the value of shear angle will bea)410b)420c)430d)440Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In an orthogonal cutting process, rake angle of the tool is 220 and friction angle is 260. Using Merchant’s shear angle relationship, the value of shear angle will bea)410b)420c)430d)440Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an orthogonal cutting process, rake angle of the tool is 220 and friction angle is 260. Using Merchant’s shear angle relationship, the value of shear angle will bea)410b)420c)430d)440Correct answer is option 'C'. Can you explain this answer?.
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