1. An underwater vehicle that can be approximated as a sphere of radius r = 0.8 m is to operate at depth h=1000 m. It is constructed by joining two hemispheres with 40 equally spaced bolts, Figure Q1. The allowable stress for the bolts is 100 MPa. The sphere is filled with air at pressure p = 600 kPa. If the material of the sphere is steel with yield stress gx=600 MPa, and the factor of safety is n = 2.5 with respect to yielding, calculate the bolt diameter d and the required thickness of the sphere t. Assumptions: (a) The sphere may be treated as a thin-walled pressure vessel. (b) The sea water density p= 1000 kg/m³. (c) Buckling of the vessel will not occur. Spherical Vessel Bolts used to fix two hemispheres to each other 0.8 m K Figure Q1

1. An underwater vehicle that can be approximated as a sphere of radius r = 0.8 m is to operate at depth h=1000 m. It is constructed by joining two hemispheres with 40 equally spaced bolts, Figure Q1. The allowable stress for the bolts is 100 MPa. The sphere is filled with air at pressure p = 600 kPa. If the material of the sphere is steel with yield stress gx=600 MPa, and the factor of safety is n = 2.5 with respect to yielding, calculate the bolt diameter d and the required thickness of the sphere t. Assumptions: (a) The sphere may be treated as a thin-walled pressure vessel. (b) The sea water density p= 1000 kg/m³. (c) Buckling of the vessel will not occur. Spherical Vessel Bolts used to fix two hemispheres to each other 0.8 m K Figure Q1

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Pressure Vessels

The term pressure vessel refers to a closed container that contains gas or liquid at a different pressure than environment pressure. The pressure vessels have a wide scale of applications in our day-to-day lives and other industrial places. Some common examples of pressure vessels are gas cylinders, autoclaves, compressor vessels, etc.

Question

1. An underwater vehicle that can be approximated as a sphere of radius r = 0.8 m is to operate at
depth h=1000 m. It is constructed by joining two hemispheres with 40 equally spaced bolts, Figure
Q1. The allowable stress for the bolts is 100 MPa. The sphere is filled with air at pressure p = 600
kPa. If the material of the sphere is steel with yield stress gx=600 MPa, and the factor of safety is
n = 2.5 with respect to yielding, calculate the bolt diameter d and the required thickness of the
sphere t.
Assumptions:
(a) The sphere may be treated as a thin-walled pressure vessel.
(b) The sea water density p= 1000 kg/m³.
(c) Buckling of the vessel will not occur.
Spherical Vessel
Bolts used to fix two
hemispheres to each
other
0.8 m
Figure Q1

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