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Q. No. 36 to 65 Carry Two Marks Each
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In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________
Correct answer is between '1.45,1.53'. Can you explain this answer?
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Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal mach...
α = 9o
t1 = 0.2mm
tc = 0.25mm to 0.4mm
if tc = 0.25mm, r = 0.8 and Ø = 42.08o
if tc = 0.4mm, r = 0.5 and Ø = 28.18o
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Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal mach...
Orthogonal Machining and Rake Angle
In orthogonal machining, the cutting tool is positioned at a right angle to the workpiece surface. The rake angle is an important parameter in machining, which refers to the angle between the rake face and the normal to the cutting edge. It determines the direction and magnitude of the cutting forces and the chip thickness during the machining process.
Uncut Chip Thickness and Chip Thickness Fluctuation
The uncut chip thickness (h0) is the thickness of the material before it is cut by the tool. In this case, the uncut chip thickness is given as 0.2 mm.
During machining, the chip thickness (h) can fluctuate due to various factors such as tool wear, vibrations, and variations in cutting conditions. In this case, the chip thickness fluctuates between 0.25 mm and 0.4 mm.
Shear Angle
The shear angle (φ) is the angle between the direction of the cutting force and the direction of the shear plane. It represents the angle at which the material is sheared during the machining process.
Ratio of Maximum Shear Angle to Minimum Shear Angle
To find the ratio of the maximum shear angle to the minimum shear angle, we need to determine the maximum and minimum shear angles during machining.
Maximum Shear Angle
The maximum shear angle (φ_max) can be calculated using the formula:
φ_max = arctan((h - h0) / (h0 * cos(α)))
Where:
- h is the chip thickness (0.4 mm, in this case)
- h0 is the uncut chip thickness (0.2 mm, in this case)
- α is the orthogonal rake angle (9°, in this case)
Substituting the given values into the formula:
φ_max = arctan((0.4 - 0.2) / (0.2 * cos(9°)))
Calculating φ_max using a scientific calculator, we get:
φ_max ≈ 24.755°
Minimum Shear Angle
The minimum shear angle (φ_min) can be calculated using the same formula, but substituting the minimum chip thickness (0.25 mm) instead of the maximum chip thickness (0.4 mm):
φ_min = arctan((0.25 - 0.2) / (0.2 * cos(9°)))
Calculating φ_min, we get:
φ_min ≈ 5.132°
Ratio of Maximum Shear Angle to Minimum Shear Angle
Finally, we can calculate the ratio of the maximum shear angle to the minimum shear angle:
Ratio = φ_max / φ_min
Substituting the calculated values, we get:
Ratio ≈ 24.755° / 5.132°
Calculating the ratio, we find:
Ratio ≈ 4.82
Therefore, the correct answer is between 1.45 and 1.53.
In orthogonal machining, the cutting tool is positioned at a right angle to the workpiece surface. The rake angle is an important parameter in machining, which refers to the angle between the rake face and the normal to the cutting edge. It determines the direction and magnitude of the cutting forces and the chip thickness during the machining process.
Uncut Chip Thickness and Chip Thickness Fluctuation
The uncut chip thickness (h0) is the thickness of the material before it is cut by the tool. In this case, the uncut chip thickness is given as 0.2 mm.
During machining, the chip thickness (h) can fluctuate due to various factors such as tool wear, vibrations, and variations in cutting conditions. In this case, the chip thickness fluctuates between 0.25 mm and 0.4 mm.
Shear Angle
The shear angle (φ) is the angle between the direction of the cutting force and the direction of the shear plane. It represents the angle at which the material is sheared during the machining process.
Ratio of Maximum Shear Angle to Minimum Shear Angle
To find the ratio of the maximum shear angle to the minimum shear angle, we need to determine the maximum and minimum shear angles during machining.
Maximum Shear Angle
The maximum shear angle (φ_max) can be calculated using the formula:
φ_max = arctan((h - h0) / (h0 * cos(α)))
Where:
- h is the chip thickness (0.4 mm, in this case)
- h0 is the uncut chip thickness (0.2 mm, in this case)
- α is the orthogonal rake angle (9°, in this case)
Substituting the given values into the formula:
φ_max = arctan((0.4 - 0.2) / (0.2 * cos(9°)))
Calculating φ_max using a scientific calculator, we get:
φ_max ≈ 24.755°
Minimum Shear Angle
The minimum shear angle (φ_min) can be calculated using the same formula, but substituting the minimum chip thickness (0.25 mm) instead of the maximum chip thickness (0.4 mm):
φ_min = arctan((0.25 - 0.2) / (0.2 * cos(9°)))
Calculating φ_min, we get:
φ_min ≈ 5.132°
Ratio of Maximum Shear Angle to Minimum Shear Angle
Finally, we can calculate the ratio of the maximum shear angle to the minimum shear angle:
Ratio = φ_max / φ_min
Substituting the calculated values, we get:
Ratio ≈ 24.755° / 5.132°
Calculating the ratio, we find:
Ratio ≈ 4.82
Therefore, the correct answer is between 1.45 and 1.53.
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Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________Correct answer is between '1.45,1.53'. Can you explain this answer?
Question Description
Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________Correct answer is between '1.45,1.53'. 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 Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________Correct answer is between '1.45,1.53'. 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 Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________Correct answer is between '1.45,1.53'. Can you explain this answer?.
Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________Correct answer is between '1.45,1.53'. 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 Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________Correct answer is between '1.45,1.53'. 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 Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________Correct answer is between '1.45,1.53'. Can you explain this answer?.
Solutions for Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________Correct answer is between '1.45,1.53'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________Correct answer is between '1.45,1.53'. Can you explain this answer?, a detailed solution for Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________Correct answer is between '1.45,1.53'. Can you explain this answer? has been provided alongside types of Directions:Q. No. 36 to 65 Carry Two Marks EachQ.In an orthogonal machining with a tool of 9° orthogonal rake angle, the uncut chip thickness is 0.2mm. The chip thickness fluctuates between 0.25 mm and 0.4 mm. The ratio of the maximum shear angle to the minimum shear angle during machining is ___________Correct answer is between '1.45,1.53'. Can you explain this answer? theory, EduRev gives you an
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