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Hoops stress and longitudinal stress in a boiler shell under internal pressure are 100 MN/m2 and 50 MN/m2 respectively. Young’s modulus of elasticity and Poisson’s ratio of the shell material are 200 GN/m2 and 0.3 respectively. The hoop strain in boiler shell is
  • a)
    0.425 × 10-3
  • b)
    0.5 × 10-3
  • c)
    0.585 × 10-3
  • d)
    0.75 × 10-3
Correct answer is option 'A'. Can you explain this answer?
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's modulus of the material is 200 GPa.

To find the radial stress, we can use the formula:

Radial stress = (Hoops stress - Longitudinal stress) / 2

Radial stress = (100 MN/m2 - 50 MN/m2) / 2 = 25 MN/m2

Now, let's calculate the strain using Hooke's law:

Strain = Radial stress / Young's modulus

Strain = 25 MN/m2 / (200 GPa * 10^6 N/m2) = 0.000125

Therefore, the strain in the boiler shell under internal pressure is 0.000125.
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Hoops stress and longitudinal stress in a boiler shell under internal pressure are 100 MN/m2and 50 MN/m2respectively. Young’s modulus of elasticity and Poisson’s ratio of the shell material are 200 GN/m2and 0.3 respectively. The hoop strain in boiler shell isa)0.425 × 10-3b)0.5 × 10-3c)0.585 × 10-3d)0.75 × 10-3Correct answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2026 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Hoops stress and longitudinal stress in a boiler shell under internal pressure are 100 MN/m2and 50 MN/m2respectively. Young’s modulus of elasticity and Poisson’s ratio of the shell material are 200 GN/m2and 0.3 respectively. The hoop strain in boiler shell isa)0.425 × 10-3b)0.5 × 10-3c)0.585 × 10-3d)0.75 × 10-3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hoops stress and longitudinal stress in a boiler shell under internal pressure are 100 MN/m2and 50 MN/m2respectively. Young’s modulus of elasticity and Poisson’s ratio of the shell material are 200 GN/m2and 0.3 respectively. The hoop strain in boiler shell isa)0.425 × 10-3b)0.5 × 10-3c)0.585 × 10-3d)0.75 × 10-3Correct answer is option 'A'. Can you explain this answer?.
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