ABSTRACT
Summary 1 6 2.1 Basi c Principle s an d thei r Illustratio n 1 6
2.1.1 Introductio n 1 6 2.1.2 Basi c Concept s 2 1 2.1.3 Illustratio n o f a Bea m Loade d wit h Direc t an d Bendin g
Actions 2 3 2.2 Shell s an d Shell s o f Revolutio n 2 6
2.2.1 Stres s Resultant s an d thei r Relatio n t o Stresse s 2 6 2.2.2 Shell s o f Revolutio n 2 9
2.3 Equilibriu m Equation s fo r a Shel l Elemen t 3 1 2.3.1 Membran e Shell s 3 4 2.3.2 Rotationall y Symmetri c Loa d o n Membran e Shell s 3 4
2.4 Strai n Displacemen t Equation s 3 5 2.5 Constitutiv e Relationship s 3 8
Many o f th e desig n procedure s i n B S 550 0 an d i n othe r standard s ar e based primaril y upo n linea r elasti c smal l displacemen t stres s analysis . Even wher e inelasti c behaviou r i s allowe d t o som e limite d exten t th e design bas e frequentl y remain s essentiall y linea r elastic . Thi s sectio n briefly discusse s th e typ e o f analysi s - thi n shel l analysi s - whic h under - pins muc h o f th e thinkin g i n pressur e vesse l codes . Typica l equation s and solution s ar e give n fo r spherica l an d cylindrica l shell s togethe r with a n indicatio n o f ho w junction s betwee n differen t geometrie s ar e analysed. Althoug h thi s chapte r ca n onl y provid e a limite d introductio n to shel l analysis , th e importan t concept s o f membran e an d discontinuit y effects ar e emphasise d an d th e inheren t limitation s o f th e approac h ar e highlighted.
