10.1 A two-start square thread with a 5 mm pitch must be cut on a lathe - NSC Mechanical Technology Fitting and Machining - Question 10 - 2018 - Paper 1
Question 10
10.1 A two-start square thread with a 5 mm pitch must be cut on a lathe. The crest diameter of the thread is 82 mm and the clearance angle 3°.
Calculate the followi... show full transcript
Worked Solution & Example Answer:10.1 A two-start square thread with a 5 mm pitch must be cut on a lathe - NSC Mechanical Technology Fitting and Machining - Question 10 - 2018 - Paper 1
Step 1
10.1.1 The lead of the thread
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Answer
To calculate the lead of the thread, we use the formula:
Lead = pitch × number of starts
Given:
Pitch = 5 mm
Number of starts = 2
Calculating:
Lead = 5 mm × 2 = 10 mm
Step 2
10.1.2 The helix angle of the thread
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Answer
The helix angle (φ) can be calculated using:
an(φ)=pitch×circumferencelead
Where circumference for an outside diameter (D) can be calculated as:
Circumference=πD=π(82−2.5)=79.67mm
Thus, substituting values:
an(φ)=79.6710φ=2.29°(2°17′24")
Step 3
10.1.3 The leading tool angle
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Answer
The leading tool angle can be found using:
Leading tool angle=90°−(helix angle+clearance angle)
Given:
Helix angle = 2.29°
Clearance angle = 3°
Calculating:
Leading tool angle=90°−(2.29°+3°)=84.71°(84°42′36")
Step 4
10.1.4 The following tool angle
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Answer
The following tool angle can be calculated using:
Following tool angle=90°−(helix angle−clearance angle)
Given:
Helix angle = 2.29°
Clearance angle = 3°
Calculating:
Following tool angle=90°−(2.29°−3°)=89.29°(89°17′24")
Step 5
10.2.1 M
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Answer
The 'M' indicates it is a metric screw thread.
Step 6
10.2.2 24
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Answer
The number '24' refers to the nominal diameter of the screw thread measured in millimeters.
Step 7
10.2.3 2,5
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'2,5' represents the pitch of the thread, given in millimeters.
Step 8
10.3 A – Helix angle
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Label A represents the helix angle.
Step 9
10.3 B – Clearance angle
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Label B indicates the clearance angle.
Step 10
10.3 C – Leading tool angle
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Label C corresponds to the leading tool angle.
Step 11
10.3 D – Following tool angle
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