A cylindrical pipe of diameter 1.5 m and thickness 1.5 cm is subjected to internal fluid pressure of 1.2 N/mm2. Determine the longitudinal stress developed in the pipe.

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SSC JE Mechanical 4 Dec 2023 Official Paper - II
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  1. 45 N/mm2
  2. 60 N/mm2
  3. 15 N/mm2
  4. 30 N/mm2

Answer (Detailed Solution Below)

Option 4 : 30 N/mm2
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Detailed Solution

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Concept:

Hoop stress for a cylindrical vessel 

Axial stress for a cylindrical vessel 

Where P = Internal pressure, D = Internal Diameter, t = thickness

Calculation:

Given, P = 1.2 MPa, D = 1.5 mm = 1500 mm, t = 1.5 cm 15 mm

Hoop stress 

longitudinal stress 

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