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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

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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)=leadpitch×circumference an(φ) = \frac{lead}{pitch \times circumference}

Where circumference for an outside diameter (D) can be calculated as:

Circumference=πD=π(822.5)=79.67mm\text{Circumference} = \pi D = \pi (82 - 2.5) \\= \\ 79.67 mm

Thus, substituting values:

an(φ)=1079.67φ=2.29°(2°1724") an(φ) = \frac{10}{79.67} \\φ = 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)\text{Leading tool angle} = 90° - (\text{helix angle} + \text{clearance angle})

Given:

  • Helix angle = 2.29°
  • Clearance angle = 3°

Calculating:

Leading tool angle=90°(2.29°+3°)=84.71°(84°4236")\text{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 angleclearance angle)\text{Following tool angle} = 90° - (\text{helix angle} - \text{clearance angle})

Given:

  • Helix angle = 2.29°
  • Clearance angle = 3°

Calculating:

Following tool angle=90°(2.29°3°)=89.29°(89°1724")\text{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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Answer

'2,5' represents the pitch of the thread, given in millimeters.

Step 8

10.3 A – Helix angle

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Answer

Label A represents the helix angle.

Step 9

10.3 B – Clearance angle

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Answer

Label B indicates the clearance angle.

Step 10

10.3 C – Leading tool angle

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Answer

Label C corresponds to the leading tool angle.

Step 11

10.3 D – Following tool angle

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Answer

Label D denotes the following tool angle.

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