A pipe is being designed to carry a fluid at a pressure of 193 MPa. In order to allow sufficient fluid flow, the internal diameter of the pipe cannot be less than 3.6 mm. Due to space constraints, the outer diameter of the pipe cannot be greater than 12.5 mm. The maximum shear stress allowed in the pipe wall is 507 N/mm². Calculate the minimum outer diameter that the pipe can have. Give your answer in mm.

A pipe is being designed to carry a fluid at a pressure of 193 MPa. In order to allow sufficient fluid flow, the internal diameter of the pipe cannot be less than 3.6 mm. Due to space constraints, the outer diameter of the pipe cannot be greater than 12.5 mm. The maximum shear stress allowed in the pipe wall is 507 N/mm². Calculate the minimum outer diameter that the pipe can have. Give your answer in mm.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

A pipe is being designed to carry a fluid at a
pressure of 193 MPa. In order to allow sufficient
fluid flow, the internal diameter of the pipe cannot
be less than 3.6 mm. Due to space constraints, the
outer diameter of the pipe cannot be greater than
12.5 mm. The maximum shear stress allowed in the
pipe wall is 507 N/mm². Calculate the minimum
outer diameter that the pipe can have. Give your
answer in mm.
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