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What is the safe working pressure for a spherical pressure vesel 1.5 m internal diameter and 1.5 cm wall thickness, if the maximum allowable tensile stress is 45 MPa ?
  • a)
    0.9 MPa
  • b)
    3.6 MPa
  • c)
    2.7 MPa
  • d)
    1.8 MPa
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
What is the safe working pressure for a spherical pressure vesel 1.5 m...
Given:

Internal diameter of spherical pressure vessel (D) = 1.5 m
Wall thickness of spherical pressure vessel (t) = 1.5 cm = 0.015 m
Maximum allowable tensile stress (σ) = 45 MPa

Calculating the safe working pressure:

The formula to calculate the safe working pressure for a spherical pressure vessel is given by:
Safe Working Pressure = (2 × Maximum Allowable Tensile Stress × Wall Thickness) / Internal Diameter

Substituting the given values into the formula:
Safe Working Pressure = (2 × 45 MPa × 0.015 m) / 1.5 m

Simplifying the expression:

Safe Working Pressure = (2 × 45 × 0.015) / 1.5
Safe Working Pressure = 0.9 MPa

Conclusion:

Therefore, the safe working pressure for the given spherical pressure vessel is 0.9 MPa.
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