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Hoop stress

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1. A pressure vessel is made of a cylindrical composite part produced by filament winding. Hoop winding is used in which the number of winding layer is 5 and the wall thickness for each layer is 1mm. The diameter of the vessel is 0.5m. The fiber material is known to be S-glass with a tensile strength of 4.5GPa, and the matrix material is polyester with a tensile strength of70MPa. The volume fraction of
fiber is 60%.
It is also known that the HOOP STRESS is the stress in a pipe wall acting circumferentially in a plane perpendicular to the longitudinal axis of the pipe and produced by the pressure of the fluid in the pipe.
S=hoop stress, in MPa
P=internal pressure, in MPa
D=outside diameter of the pipe, in mm
T=normal wall thickness, in mm

(1) If the internal pressure is 80MPa, would this pressure vessel be safe in service?

(2) If yes, how many layer of winding can be decreased so that the part will be still safe? Or if not, how many more layers needed to be added?

Please see attached.

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Materials Properties: low-carbon steel, alumina, GFRP

Consider the following three engineering materials: (i) low-carbon steel; (ii) alumina; (iii) glass-fiber reinforced polymer.
(a) Which material would be most suitable for a pressure vessel?
(b) Which material would be most suitable for airplain wings?
(c) Which material would be most suitable for dental restorations?

In your answers to the questions above, present an engineering rational to justify your choice. Also, explain why each of the disqualified materials would not be suitable for the specific application.

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