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A triple-start square threaded bar needs to be manufactured - NSC Mechanical Technology Fitting and Machining - Question 10 - 2022 - Paper 1

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A triple-start square threaded bar needs to be manufactured. The lead of the square thread is 36 mm and the crest diameter is 70 mm. The clearance angle must be 3°. ... show full transcript

Worked Solution & Example Answer:A triple-start square threaded bar needs to be manufactured - NSC Mechanical Technology Fitting and Machining - Question 10 - 2022 - Paper 1

Step 1

10.1.1 Pitch

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Answer

The pitch of a square threaded bar can be calculated using the formula:

Pitch=LeadNumber  of  startsPitch = \frac{Lead}{Number \; of\; starts}

Given:

  • Lead = 36 mm
  • Number of starts = 3

Thus,

Pitch=36mm3=12mmPitch = \frac{36\, mm}{3} = 12\, mm

Step 2

10.1.2 Pitch diameter

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Answer

The pitch diameter (D_p) can be calculated using the formula:

Dp=ODP2D_p = OD - \frac{P}{2}

Where:

  • OD = 70 mm
  • P = Pitch = 12 mm

Therefore,

Dp=70mm12  mm2=64mmD_p = 70\, mm - \frac{12 \; mm}{2} = 64\, mm

Step 3

10.1.3 Helix angle of the thread

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Answer

The helix angle (θ) can be determined using the formula:

tan(θ)=Leadπ×PD\tan(θ) = \frac{Lead}{\pi \times PD}

Substituting the given values:

  • Lead = 36 mm
  • Pitch Diameter (PD) = 64 mm

Thus,

tan(θ)=36π×64θ=arctan(0.179049311)10.15° or 10°9\tan(θ) = \frac{36}{\pi \times 64} \\ θ = \arctan(0.179049311) \approx 10.15° \text{ or } 10°9'

Step 4

10.1.4 Leading angle

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Answer

The leading angle can be calculated using:

Leading  angle=90°(helix  angle+clearance  angle)Leading\; angle = 90° - (helix \; angle + clearance \; angle)

Given:

  • Helix angle ≈ 10.15°
  • Clearance angle = 3°

Therefore,

Leading  angle=90°(10°9+3°)=76°51 or 76.85°Leading\; angle = 90° - (10°9' + 3°) = 76°51' \text{ or } 76.85°

Step 5

10.1.5 Following angle

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Answer

The following angle can be calculated using:

Following  angle=90°+(helix  angleclearance  angle)Following\; angle = 90° + (helix \; angle - clearance \; angle)

Thus,

Following  angle=90°+(10°93°)=97°9 or 97.15°Following\; angle = 90° + (10°9' - 3°) = 97°9' \text{ or } 97.15°

Step 6

10.2.1 Identify the type of screw thread

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Answer

The screw thread is identified as a square thread.

Step 7

10.2.2 Label A–D

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Answer

A - Clearance angle B - Leading angle C - Following angle D - Helix angle

Step 8

10.3 State the included angle for a metric V-screw thread

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Answer

The included angle for a metric V-screw thread is 60°.

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