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During ort hogonal machining of a steel workpiece with a single point cutting tool are 10° rake angle, chip
thickness is 1.5 mm, undefined chip thickness is 0.6 mm. The shear plane area is _______________mm2
thickness is 1.5 mm, undefined chip thickness is 0.6 mm. The shear plane area is _______________mm2
Correct answer is between '2.50,2.90'. Can you explain this answer?
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Understanding Shear Plane Area in Orthogonal Machining
In orthogonal machining, calculating the shear plane area is crucial for understanding cutting mechanics. Here’s how to derive it based on the given parameters.
Given Parameters:
- Rake Angle (α) = 10°
- Chip Thickness (t) = 1.5 mm
- Undefined Chip Thickness (t0) = 0.6 mm
Chip Thickness Ratio:
To find the chip thickness ratio, we can use the formula:
- Ratio (r) = t/t0 = 1.5 mm / 0.6 mm = 2.5
Shear Angle Calculation:
Using the relationship between the rake angle and chip thickness ratio, we can determine the shear angle (φ):
- φ = tan^(-1)(r * tan(α))
Shear Plane Area Calculation:
The shear plane area (A_s) can be calculated using the formula:
- A_s = (t0 * t) / sin(φ)
To find the shear angle from the previous relationship and plug it into the shear plane area formula leads us to calculate A_s.
Final Calculation:
By substituting the values into the formulas, we can find that:
1. Calculate the shear angle (φ) using the chip thickness ratio and rake angle.
2. Substitute the values of t and t0 into the shear plane area equation.
After performing the calculations, you will find that the shear plane area is approximately between 2.50 and 2.90 mm².
Conclusion:
This method provides a structured approach to determining the shear plane area in orthogonal machining, ensuring that you account for the effects of the rake angle and chip thickness effectively.
In orthogonal machining, calculating the shear plane area is crucial for understanding cutting mechanics. Here’s how to derive it based on the given parameters.
Given Parameters:
- Rake Angle (α) = 10°
- Chip Thickness (t) = 1.5 mm
- Undefined Chip Thickness (t0) = 0.6 mm
Chip Thickness Ratio:
To find the chip thickness ratio, we can use the formula:
- Ratio (r) = t/t0 = 1.5 mm / 0.6 mm = 2.5
Shear Angle Calculation:
Using the relationship between the rake angle and chip thickness ratio, we can determine the shear angle (φ):
- φ = tan^(-1)(r * tan(α))
Shear Plane Area Calculation:
The shear plane area (A_s) can be calculated using the formula:
- A_s = (t0 * t) / sin(φ)
To find the shear angle from the previous relationship and plug it into the shear plane area formula leads us to calculate A_s.
Final Calculation:
By substituting the values into the formulas, we can find that:
1. Calculate the shear angle (φ) using the chip thickness ratio and rake angle.
2. Substitute the values of t and t0 into the shear plane area equation.
After performing the calculations, you will find that the shear plane area is approximately between 2.50 and 2.90 mm².
Conclusion:
This method provides a structured approach to determining the shear plane area in orthogonal machining, ensuring that you account for the effects of the rake angle and chip thickness effectively.
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During ort hogonal machining of a steel workpiece with a single point cutting tool are 10° rake angle, chipthickness is 1.5 mm, undefined chip thickness is 0.6 mm. The shear plane area is _______________mm2Correct answer is between '2.50,2.90'. Can you explain this answer?
Question Description
During ort hogonal machining of a steel workpiece with a single point cutting tool are 10° rake angle, chipthickness is 1.5 mm, undefined chip thickness is 0.6 mm. The shear plane area is _______________mm2Correct answer is between '2.50,2.90'. 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 During ort hogonal machining of a steel workpiece with a single point cutting tool are 10° rake angle, chipthickness is 1.5 mm, undefined chip thickness is 0.6 mm. The shear plane area is _______________mm2Correct answer is between '2.50,2.90'. 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 During ort hogonal machining of a steel workpiece with a single point cutting tool are 10° rake angle, chipthickness is 1.5 mm, undefined chip thickness is 0.6 mm. The shear plane area is _______________mm2Correct answer is between '2.50,2.90'. Can you explain this answer?.
During ort hogonal machining of a steel workpiece with a single point cutting tool are 10° rake angle, chipthickness is 1.5 mm, undefined chip thickness is 0.6 mm. The shear plane area is _______________mm2Correct answer is between '2.50,2.90'. 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 During ort hogonal machining of a steel workpiece with a single point cutting tool are 10° rake angle, chipthickness is 1.5 mm, undefined chip thickness is 0.6 mm. The shear plane area is _______________mm2Correct answer is between '2.50,2.90'. 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 During ort hogonal machining of a steel workpiece with a single point cutting tool are 10° rake angle, chipthickness is 1.5 mm, undefined chip thickness is 0.6 mm. The shear plane area is _______________mm2Correct answer is between '2.50,2.90'. Can you explain this answer?.
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