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A thin walled water pipe carries water under a pressure of 2 N/mm2 and discharges water into a tank. Diameter of the pipe is 25 mm and thickness is 2·5 mm. What is the longitudinal stress induced in the pipe?

  • a)
    0

  • b)
    2 N/mm2

  • c)
    5 N/mm2

  • d)
    10 N/mm2

Correct answer is option 'C'. Can you explain this answer?
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A thin walled water pipe carries water under a pressure of 2 N/mm2 and...


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Most Upvoted Answer
A thin walled water pipe carries water under a pressure of 2 N/mm2 and...
Given data:
Pressure (p) = 2 N/mm²
Diameter (d) = 25 mm
Thickness (t) = 25 mm

We need to find the longitudinal stress induced in the pipe.

Formula:

The longitudinal stress induced in the pipe is given by the formula:

σl = pd/2t

where,
σl = longitudinal stress induced
p = pressure
d = diameter
t = thickness

Calculation:

Substituting the given values in the above formula, we get:

σl = (2×25)/2×25
σl = 5 N/mm²

Therefore, the longitudinal stress induced in the pipe is 5 N/mm².

Conclusion:

When a thin walled water pipe carries water under pressure, the longitudinal stress induced in the pipe can be calculated using the formula σl = pd/2t. In this case, the longitudinal stress induced in the pipe is 5 N/mm².
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Community Answer
A thin walled water pipe carries water under a pressure of 2 N/mm2 and...
Answer should be option a, 0. Reason: Even though the pipe is under internal pressure, there is no axial load acting,i.e., the pipe is flow is not restricted. So no axial pull is present. Hence no axial stress.
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A thin walled water pipe carries water under a pressure of 2 N/mm2 and discharges water into a tank. Diameter of the pipe is 25 mm and thickness is 2·5 mm. What is the longitudinal stress induced in the pipe?a)0b)2 N/mm2c)5 N/mm2d)10 N/mm2Correct answer is option 'C'. 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 thin walled water pipe carries water under a pressure of 2 N/mm2 and discharges water into a tank. Diameter of the pipe is 25 mm and thickness is 2·5 mm. What is the longitudinal stress induced in the pipe?a)0b)2 N/mm2c)5 N/mm2d)10 N/mm2Correct answer is option 'C'. 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 thin walled water pipe carries water under a pressure of 2 N/mm2 and discharges water into a tank. Diameter of the pipe is 25 mm and thickness is 2·5 mm. What is the longitudinal stress induced in the pipe?a)0b)2 N/mm2c)5 N/mm2d)10 N/mm2Correct answer is option 'C'. Can you explain this answer?.
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