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A metal pipe of 1 m diameter contains a fluid having a pressure of 10 kgf/cm2. If the permissible tensile stress in the metal is 200 kgf/cm2, then the thickness of the metal required for making the pipe would be
- a)5 mm
- b)10 mm
- c)20 mm
- d)25 mm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A metal pipe of 1 m diameter contains a fluid having a pressure of 10 ...
As in thin cylinder shell:
Longitudinal stress = Half of circumferential stress
∴ circumferential stress ≤ Permissible stress
Most Upvoted Answer
A metal pipe of 1 m diameter contains a fluid having a pressure of 10 ...
Solution:
Given data:
Diameter of the pipe (D) = 1 m
Pressure of fluid (P) = 10 kgf/cm2
Permissible tensile stress (σ) = 200 kgf/cm2
To find: Thickness of metal required for making the pipe
Formula used:
Circumference of pipe (C) = πD
Stress = Pressure × Diameter / (2 × Thickness)
Thickness = Diameter × Pressure / (2 × Stress)
Calculation:
Circumference of pipe (C) = πD
= π × 1 m
= 3.14 m
Stress = Pressure × Diameter / (2 × Thickness)
Thickness = Diameter × Pressure / (2 × Stress)
= 1 m × 10 kgf/cm2 / (2 × 200 kgf/cm2)
= 0.025 m
= 25 mm
Therefore, the required thickness of metal for making the pipe is 25 mm.
Given data:
Diameter of the pipe (D) = 1 m
Pressure of fluid (P) = 10 kgf/cm2
Permissible tensile stress (σ) = 200 kgf/cm2
To find: Thickness of metal required for making the pipe
Formula used:
Circumference of pipe (C) = πD
Stress = Pressure × Diameter / (2 × Thickness)
Thickness = Diameter × Pressure / (2 × Stress)
Calculation:
Circumference of pipe (C) = πD
= π × 1 m
= 3.14 m
Stress = Pressure × Diameter / (2 × Thickness)
Thickness = Diameter × Pressure / (2 × Stress)
= 1 m × 10 kgf/cm2 / (2 × 200 kgf/cm2)
= 0.025 m
= 25 mm
Therefore, the required thickness of metal for making the pipe is 25 mm.
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A metal pipe of 1 m diameter contains a fluid having a pressure of 10 kgf/cm2. If the permissible tensile stress in the metal is 200 kgf/cm2, then the thickness of the metal required for making the pipe would bea)5 mmb)10 mmc)20 mmd)25 mmCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A metal pipe of 1 m diameter contains a fluid having a pressure of 10 kgf/cm2. If the permissible tensile stress in the metal is 200 kgf/cm2, then the thickness of the metal required for making the pipe would bea)5 mmb)10 mmc)20 mmd)25 mmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal pipe of 1 m diameter contains a fluid having a pressure of 10 kgf/cm2. If the permissible tensile stress in the metal is 200 kgf/cm2, then the thickness of the metal required for making the pipe would bea)5 mmb)10 mmc)20 mmd)25 mmCorrect answer is option 'D'. Can you explain this answer?.
A metal pipe of 1 m diameter contains a fluid having a pressure of 10 kgf/cm2. If the permissible tensile stress in the metal is 200 kgf/cm2, then the thickness of the metal required for making the pipe would bea)5 mmb)10 mmc)20 mmd)25 mmCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A metal pipe of 1 m diameter contains a fluid having a pressure of 10 kgf/cm2. If the permissible tensile stress in the metal is 200 kgf/cm2, then the thickness of the metal required for making the pipe would bea)5 mmb)10 mmc)20 mmd)25 mmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A metal pipe of 1 m diameter contains a fluid having a pressure of 10 kgf/cm2. If the permissible tensile stress in the metal is 200 kgf/cm2, then the thickness of the metal required for making the pipe would bea)5 mmb)10 mmc)20 mmd)25 mmCorrect answer is option 'D'. Can you explain this answer?.
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