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A cylindrical steel pressure vessel 400mm in diameter with a wall thickness of 20mm is subjected to an internal pressure of 4.5 MPa. Calculate the circumferential stresses (σx ) and longitudinal stresses (σy ) in the steel vessel.
  • a)
    σx = 45 MPa, σy = 22.5 MPa
  • b)
    σx = 22.5 MPa, σy = 45 MPa
  • c)
    σx = 45 MPa, σy = 90 MPa
  • d)
    σx = 90 MPa, σy = 45 MPa
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A cylindrical steel pressure vessel 400mm in diameter with a wall thi...
Diameter = 400mm t = 20mm
p = 4.5 MPa
Circumferential stresses,
σx =
σx = 45 MPa
Longitudinal stresses,
σy =
σy = 22.5 MPa
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Most Upvoted Answer
A cylindrical steel pressure vessel 400mm in diameter with a wall thi...
Calculating Circumferential and Longitudinal Stresses in a Pressure Vessel

Given:
Diameter of pressure vessel (D) = 400 mm
Wall thickness (t) = 20 mm
Internal pressure (P) = 4.5 MPa
Circumferential stress (σx) = ?
Longitudinal stress (σy) = ?

Formula:
Circumferential stress (σx) = (P x D) / (2 x t)
Longitudinal stress (σy) = (P x t) / (2 x (D/2))

Calculation:
σx = (4.5 x 400) / (2 x 20) = 45 MPa
σy = (4.5 x 20) / (2 x (400/2)) = 22.5 MPa

Therefore, the correct answer is option 'A' with circumferential stress (σx) of 45 MPa and longitudinal stress (σy) of 22.5 MPa.
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A cylindrical steel pressure vessel 400mm in diameter with a wall thickness of 20mm is subjected to an internal pressure of 4.5 MPa. Calculate the circumferential stresses (σx ) and longitudinal stresses (σy ) in the steel vessel.a) σx = 45 MPa, σy = 22.5 MPab) σx = 22.5 MPa, σy = 45 MPac) σx = 45 MPa, σy = 90 MPad) σx = 90 MPa, σy = 45 MPaCorrect answer is option 'A'. Can you explain this answer?
Question Description
A cylindrical steel pressure vessel 400mm in diameter with a wall thickness of 20mm is subjected to an internal pressure of 4.5 MPa. Calculate the circumferential stresses (σx ) and longitudinal stresses (σy ) in the steel vessel.a) σx = 45 MPa, σy = 22.5 MPab) σx = 22.5 MPa, σy = 45 MPac) σx = 45 MPa, σy = 90 MPad) σx = 90 MPa, σy = 45 MPaCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A cylindrical steel pressure vessel 400mm in diameter with a wall thickness of 20mm is subjected to an internal pressure of 4.5 MPa. Calculate the circumferential stresses (σx ) and longitudinal stresses (σy ) in the steel vessel.a) σx = 45 MPa, σy = 22.5 MPab) σx = 22.5 MPa, σy = 45 MPac) σx = 45 MPa, σy = 90 MPad) σx = 90 MPa, σy = 45 MPaCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cylindrical steel pressure vessel 400mm in diameter with a wall thickness of 20mm is subjected to an internal pressure of 4.5 MPa. Calculate the circumferential stresses (σx ) and longitudinal stresses (σy ) in the steel vessel.a) σx = 45 MPa, σy = 22.5 MPab) σx = 22.5 MPa, σy = 45 MPac) σx = 45 MPa, σy = 90 MPad) σx = 90 MPa, σy = 45 MPaCorrect answer is option 'A'. Can you explain this answer?.
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