The expression 'Bourdon effect' is frequently applied to elongation of pipe under internal pressure. This is not quite correct. Bourdon effect is the rotation of a NON-CIRCULAR CROSS SECTION element such as a bend under pressure. Pulled elbows tend to be oval in cross section and would experience this rotation. In a pressure gauge a 'very oval' section of tube is pressurised and the end deflection drives the indicator, thus the name 'bourdon gauge'. Caesar gives you the option of including translation and / or rotation of bend elements in calculations. Both can have a serious impact on piping and should be considered carefully. Internal pressure also stiffens elbows, reducing flexibility (k)factor and stress intensification (i) factor, as RoS refers to above. This is referenced in for example, ASME B31.3 note 7 to Appendix D table D300, component stress intensification and flexibility factors.