Which of the following is the formula for circumferential stress in a thin-walled cylinder? (Where d = diameter of shell and t = thickness of shell) 

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BDL MT Mechanical 16 April 2022 Official Paper
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  1. pd/3t
  2. pd/8t
  3. pd/6t
  4. pd/2t

Answer (Detailed Solution Below)

Option 4 : pd/2t
Free
ST 1: BDL MT Thermodynamics
20 Qs. 20 Marks 16 Mins

Detailed Solution

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Concept:

  • Circumferential stress is the stress acting along the circumferential direction, it is generally tensile in nature.
  • Longitudinal stress is the stress which acts along the length and it is also tensile in nature whereas radial stress which acts in the direction of the radius is compressive in nature.

Circumferential stress/Hoop stress, \(\sigma _h=\frac{PD}{2t}\)

Longitudinal stress, 

Where = pressure due to flowing fluid, = diameter, and = thickness of the shell

Ratio = 

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