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In orthogonal cutting operation, rake angle is 150 and coefficient of friction is 0.5. Using Merchant’s theory, that will be the percentage change in chip thickness if friction is doubled?
- a)34%
- b)45%
- c)52%
- d)23%
Correct answer is option 'A'. Can you explain this answer?
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In orthogonal cutting operation,rake angle is 150 and coefficient offr...
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Circle method, determine the shear angle and shear strain in the chip.
The Merchant circle method is used to analyze orthogonal cutting operations. It involves the construction of a Merchant circle on a reference diagram to determine various cutting parameters.
To determine the shear angle and shear strain in the chip, we need to follow these steps:
Step 1: Draw the reference diagram
Draw a reference diagram with the cutting tool, workpiece, and chip geometry. Label the angles and dimensions as required.
Step 2: Determine the friction circle
Using the coefficient of friction (µ) and the rake angle (α), construct the friction circle on the reference diagram. The friction circle represents the interaction between the chip and the tool.
In this case, the rake angle (α) is 150 degrees and the coefficient of friction (µ) is 0.5. The friction circle is constructed by drawing a circle with radius equal to the product of µ and the cosine of α.
Step 3: Determine the shear angle
The shear angle (φ) is the angle between the chip flow direction and the shear plane. It can be determined by drawing a line from the cutting edge to the center of the friction circle and measuring the angle between this line and the perpendicular to the cutting edge.
Step 4: Measure the shear strain
The shear strain (γ) can be determined by measuring the distance between the cutting edge and the center of the friction circle.
Step 5: Calculate the actual shear angle and shear strain
Using the measurements from the reference diagram, calculate the actual shear angle and shear strain.
For example, if the measured shear angle is 30 degrees and the measured shear strain is 0.2, the actual shear angle and shear strain are given by:
Actual shear angle = φ - α
Actual shear strain = γ / h (h is the chip thickness)
Make sure to use the correct units for the calculations.
Note: The actual shear angle and shear strain can vary depending on the specific cutting conditions and material properties.
The Merchant circle method is used to analyze orthogonal cutting operations. It involves the construction of a Merchant circle on a reference diagram to determine various cutting parameters.
To determine the shear angle and shear strain in the chip, we need to follow these steps:
Step 1: Draw the reference diagram
Draw a reference diagram with the cutting tool, workpiece, and chip geometry. Label the angles and dimensions as required.
Step 2: Determine the friction circle
Using the coefficient of friction (µ) and the rake angle (α), construct the friction circle on the reference diagram. The friction circle represents the interaction between the chip and the tool.
In this case, the rake angle (α) is 150 degrees and the coefficient of friction (µ) is 0.5. The friction circle is constructed by drawing a circle with radius equal to the product of µ and the cosine of α.
Step 3: Determine the shear angle
The shear angle (φ) is the angle between the chip flow direction and the shear plane. It can be determined by drawing a line from the cutting edge to the center of the friction circle and measuring the angle between this line and the perpendicular to the cutting edge.
Step 4: Measure the shear strain
The shear strain (γ) can be determined by measuring the distance between the cutting edge and the center of the friction circle.
Step 5: Calculate the actual shear angle and shear strain
Using the measurements from the reference diagram, calculate the actual shear angle and shear strain.
For example, if the measured shear angle is 30 degrees and the measured shear strain is 0.2, the actual shear angle and shear strain are given by:
Actual shear angle = φ - α
Actual shear strain = γ / h (h is the chip thickness)
Make sure to use the correct units for the calculations.
Note: The actual shear angle and shear strain can vary depending on the specific cutting conditions and material properties.
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In orthogonal cutting operation,rake angle is 150 and coefficient offriction is 0.5. Using Merchant’stheory, that will be the percentagechange in chip thickness if frictionis doubled?a)34%b)45%c)52%d)23%Correct answer is option 'A'. Can you explain this answer?
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In orthogonal cutting operation,rake angle is 150 and coefficient offriction is 0.5. Using Merchant’stheory, that will be the percentagechange in chip thickness if frictionis doubled?a)34%b)45%c)52%d)23%Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In orthogonal cutting operation,rake angle is 150 and coefficient offriction is 0.5. Using Merchant’stheory, that will be the percentagechange in chip thickness if frictionis doubled?a)34%b)45%c)52%d)23%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In orthogonal cutting operation,rake angle is 150 and coefficient offriction is 0.5. Using Merchant’stheory, that will be the percentagechange in chip thickness if frictionis doubled?a)34%b)45%c)52%d)23%Correct answer is option 'A'. Can you explain this answer?.
In orthogonal cutting operation,rake angle is 150 and coefficient offriction is 0.5. Using Merchant’stheory, that will be the percentagechange in chip thickness if frictionis doubled?a)34%b)45%c)52%d)23%Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In orthogonal cutting operation,rake angle is 150 and coefficient offriction is 0.5. Using Merchant’stheory, that will be the percentagechange in chip thickness if frictionis doubled?a)34%b)45%c)52%d)23%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In orthogonal cutting operation,rake angle is 150 and coefficient offriction is 0.5. Using Merchant’stheory, that will be the percentagechange in chip thickness if frictionis doubled?a)34%b)45%c)52%d)23%Correct answer is option 'A'. Can you explain this answer?.
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