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thickness, t, if t

thickness, t, if t

Elements Of Electromagnetics
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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3) A thin-walled cylindrical pressure vessel of diameter of 1.5 m is subjected to an internal pressure that varies continuously from \( p_{\text{min}} = 0.8 \, \text{MPa} \) to \( p_{\text{max}} = 4 \, \text{MPa} \). Determine the pressure vessel thickness, \( t \), if the pressure vessel is made from steel with an ultimate strength \( S_u = 400 \, \text{MPa} \), a yield strength \( S_y = 300 \, \text{MPa} \), and an endurance limit \( S_n = 150 \, \text{MPa} \) and a safety factor of two is desired. Use Modified Goodman and the maximum normal stress theory.
Transcribed Image Text:3) A thin-walled cylindrical pressure vessel of diameter of 1.5 m is subjected to an internal pressure that varies continuously from \( p_{\text{min}} = 0.8 \, \text{MPa} \) to \( p_{\text{max}} = 4 \, \text{MPa} \). Determine the pressure vessel thickness, \( t \), if the pressure vessel is made from steel with an ultimate strength \( S_u = 400 \, \text{MPa} \), a yield strength \( S_y = 300 \, \text{MPa} \), and an endurance limit \( S_n = 150 \, \text{MPa} \) and a safety factor of two is desired. Use Modified Goodman and the maximum normal stress theory.
Expert Solution
Step 1: Introduction

To determine the pressure vessel thickness, t

given p subscript m i n end subscript space equals 0.8 space m p a, p subscript m a x end subscript equals 4 space m p a

ultimate strength

S subscript u space equals 400 space M p a

yield strength S subscript y space equals 300 space M p a

endurance limit, S subscript n space equals 150 space M p a

factor of safety, n equals 2

diameter of the cylinder d=1.2m


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