3. During the design of spherical pressure vessel for space programs, a primary criterion is the mass of the vessel (which determines how much it costs to put it into the orbit). Given the stress in a thin walled spherical vessel is tensile and given by: Pr 2t where P is the pressure in the vessel, r is the radius and t is the wall thickness. For safety, materials will experience stress smaller that yield stress by a safety factor N. 10-1 Show that the minimum mass of the pressure vessel will be m = 2NT Pr³ P where p is the density of material. ys

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter3: Transient Heat Conduction
Section: Chapter Questions
Problem 3.37P
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3. During the design of spherical pressure vessel for space programs, a primary criterion
is the mass of the vessel (which determines how much it costs to put it into the orbit).
Given the stress in a thin walled spherical vessel is tensile and given by:
Pr
2t
where P is the pressure in the vessel, r is the radius and t is the wall thickness. For
safety, materials will experience stress smaller that yield stress by a safety factor N.
10-1
Show that the minimum mass of the pressure vessel will be
m= 2Νπ Pr'
where p is the density of material.
ys
Given the data in Appendix B1 and B4 in the textbook, select the material (from
following table) that will result in the lightest possible pressure vessel. Note in brittle
materials the yield strength equal to tensile stress.
Material
Steel 4340 Q&T
Al 7075-T6
Ti-6-4, aged
ZnO3+Y2O3
Nylon 6,6
Composite,
Aramid fibers in
ероху
Composite: CFRE
Transcribed Image Text:3. During the design of spherical pressure vessel for space programs, a primary criterion is the mass of the vessel (which determines how much it costs to put it into the orbit). Given the stress in a thin walled spherical vessel is tensile and given by: Pr 2t where P is the pressure in the vessel, r is the radius and t is the wall thickness. For safety, materials will experience stress smaller that yield stress by a safety factor N. 10-1 Show that the minimum mass of the pressure vessel will be m= 2Νπ Pr' where p is the density of material. ys Given the data in Appendix B1 and B4 in the textbook, select the material (from following table) that will result in the lightest possible pressure vessel. Note in brittle materials the yield strength equal to tensile stress. Material Steel 4340 Q&T Al 7075-T6 Ti-6-4, aged ZnO3+Y2O3 Nylon 6,6 Composite, Aramid fibers in ероху Composite: CFRE
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