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The shape factor for a casting in the form of an annular cylinder of outside diameter 30 cm, inside diameter 20 cm and height 30 cm (correction factor, k = 1 ) will be:

  • a)
    21.77

  • b)
    6.28

  • c)
    9.42

  • d)
    12.28

Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The shape factor for a casting in the form of an annular cylinder of o...


L = height = 30cm




  ( D0- D1 )/2   divided by 2 as it is diameter


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The shape factor for a casting in the form of an annular cylinder of o...
Calculation of Shape Factor for Annular Cylinder Casting

Given parameters:
- Outside Diameter (D) = 30 cm
- Inside Diameter (d) = 20 cm
- Height (h) = 30 cm
- Correction Factor (k) = 1

Formula for Shape Factor (Fs) of Annular Cylinder Casting:
Fs = (D^2 - d^2) / (4hD)

Substituting the given values in the formula,
Fs = (30^2 - 20^2) / (4 x 30 x 30)
Fs = 44100 / 36000
Fs = 1.225

Since the correction factor k = 1, the final shape factor of the annular cylinder casting will be equal to 1.225.

Therefore, the correct option is A) 21.77 (which is the calculated shape factor multiplied by the correction factor k).
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