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Circumferential stress in a cylindrical steel boiler shell under internal pressure is 80 MPa. Young’s modulus of elasticity and Poisson's ratio are respectively 2 x 105 MPa and 0.28. The magnitude of circumferential strain in the boiler shell will be
  • a)
    3.44 x 10-4
  • b)
    3.84 x 10-4
  • c)
    4 x 10-4
  • d)
    4.56 x 10-4
Correct answer is option 'A'. Can you explain this answer?
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's modulus of steel is 200 GPa. What is the strain in the steel boiler shell?

We can use the formula for circumferential stress in a cylindrical pressure vessel:

σc = pd/2t

where σc is the circumferential stress, p is the internal pressure, d is the diameter of the cylinder, and t is the thickness of the cylinder.

Rearranging the formula to solve for t, we get:

t = pd/2σc

Substituting the given values, we get:

t = (80 MPa)(d)/(2)(200 GPa) = 0.0002d

Now we can use the formula for strain:

ε = ΔL/L = σ/E

where ε is the strain, ΔL is the change in length, L is the original length, σ is the stress, and E is the Young's modulus.

Since we know the circumferential stress, we can find the strain as:

ε = σc/E = (80 MPa)/(200 GPa) = 0.0004

Therefore, the strain in the steel boiler shell is 0.0004.
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Circumferential stress in a cylindrical steel boiler shell under internalpressure is 80 MPa. Young’s modulus of elasticity and Poisson's ratio are respectively 2 x 105 MPa and 0.28. The magnitude of circumferential strain in the boiler shell will bea)3.44 x 10-4b)3.84 x 10-4c)4 x 10-4d)4.56 x 10-4Correct answer is option 'A'. Can you explain this answer?
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Circumferential stress in a cylindrical steel boiler shell under internalpressure is 80 MPa. Young’s modulus of elasticity and Poisson's ratio are respectively 2 x 105 MPa and 0.28. The magnitude of circumferential strain in the boiler shell will bea)3.44 x 10-4b)3.84 x 10-4c)4 x 10-4d)4.56 x 10-4Correct 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 Circumferential stress in a cylindrical steel boiler shell under internalpressure is 80 MPa. Young’s modulus of elasticity and Poisson's ratio are respectively 2 x 105 MPa and 0.28. The magnitude of circumferential strain in the boiler shell will bea)3.44 x 10-4b)3.84 x 10-4c)4 x 10-4d)4.56 x 10-4Correct 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 Circumferential stress in a cylindrical steel boiler shell under internalpressure is 80 MPa. Young’s modulus of elasticity and Poisson's ratio are respectively 2 x 105 MPa and 0.28. The magnitude of circumferential strain in the boiler shell will bea)3.44 x 10-4b)3.84 x 10-4c)4 x 10-4d)4.56 x 10-4Correct answer is option 'A'. Can you explain this answer?.
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