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Hoop stress and longitudinal stress in a boiler shell under internal pressure are 100 MN/m2 and 50 MN/m2respectively. 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 x 10-3
  • b)
    0.500 x 10-3
  • c)
    0.575 x 10-3
  • d)
    0.750 x 10-3
Correct answer is option 'A'. Can you explain this answer?
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's modulus of the material of the boiler shell is 2 x 105 MN/m2. What is the Poisson's ratio of the material?

We know that:

Hoop stress = σh = 100 MN/m2

Longitudinal stress = σl = 50 MN/m2

Young's modulus = E = 2 x 105 MN/m2

Poisson's ratio = ν (unknown)

We can use the following equations to relate these variables:

σh/σl = (1 + ν)/(1 - ν)

E = 2G(1 + ν)

where G is the shear modulus of elasticity.

We can solve for ν using these equations:

σh/σl = (1 + ν)/(1 - ν)

100/50 = (1 + ν)/(1 - ν)

2 - 2ν = 1 + ν

3ν = 1

ν = 1/3

E = 2G(1 + ν)

2 x 105 = 2G(1 + 1/3)

G = 5 x 104 MN/m2

Therefore, the Poisson's ratio of the material is 1/3.
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Hoop stress and longitudinal stress in a boiler shell under internal pressure are 100 MN/m2 and 50 MN/m2respectively. 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 isa)0.425 x 10-3b)0.500 x 10-3c)0.575 x 10-3d)0.750 x 10-3Correct answer is option 'A'. Can you explain this answer?
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Hoop stress and longitudinal stress in a boiler shell under internal pressure are 100 MN/m2 and 50 MN/m2respectively. 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 isa)0.425 x 10-3b)0.500 x 10-3c)0.575 x 10-3d)0.750 x 10-3Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Hoop stress and longitudinal stress in a boiler shell under internal pressure are 100 MN/m2 and 50 MN/m2respectively. 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 isa)0.425 x 10-3b)0.500 x 10-3c)0.575 x 10-3d)0.750 x 10-3Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hoop stress and longitudinal stress in a boiler shell under internal pressure are 100 MN/m2 and 50 MN/m2respectively. 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 isa)0.425 x 10-3b)0.500 x 10-3c)0.575 x 10-3d)0.750 x 10-3Correct answer is option 'A'. Can you explain this answer?.
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