A spherical vessel with an inside diameter of 2 m is made of material having an allowable stress in tension of 500 kg/cm2. The thickness of a shell to withstand a pressure of 25 kg/cm2 should be:

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  1. 5 cm
  2. 10 cm
  3. 2.5 cm
  4. 1.25 cm

Answer (Detailed Solution Below)

Option 3 : 2.5 cm
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Detailed Solution

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Concept:

For thin spherical vessel:

For a thin spherical pressure vessel, both longitudinal and hoop stress is the same and given as

Calculation:

Given:

d = 2 m, σL = 500 kg/cm2, P = 25 kg/cm2, t = ?

t = 2.5 cm 

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