The condition of ‘perfect clamping’ is discussed and it is shown that even for a reinforcing ring having a depth equal to one half the cylinders' diameter it is still necessary to make some allowance for radial displacement at the oblique edge. Reasons are suggested for the lack of symmetry in circumferential and axial stress profiles over the range ‘intrados’ to ‘extrados’.
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References
1.
KorneckiA.‘The state of stress and strain in a thin-walled tube rigidly fixed in an oblique cross-section’, Rozpr. Inz.1957 5, 119–134. (In Polish).
2.
HollandM.‘A general analysis of a reinforced discontinuous bend’, 1969, Thesis submitted to the Council for National Academic Awards for the degrec of Ph.D.
3.
GreenA. E.EmmersonW. C.‘Stresses in a pipe with a discontinuous bend’, J. Mech. Phys. Solids19619, 91–104.
4.
JohnsonM. W.ReissnerE.‘On the foundations of the theory of thin elastic shells’, J. Mech. Phys. Solids, 1958–60 37–38, 371–392.
5.
MackenzieA. C.BeattieI. M.‘The right-angled corner in large-diameter pressure ducting’, Proc. Symp. Pressure vessel research towards better design. 1962 114–124 (Institution of Mechanical Engineers, London).
6.
HollandM.BarlowN.MitchellH.‘Reinforced discontinuous bend subjected to uniform internal pressure: Effect of rcinforcing ring stiffness’, J. Strain Analysis19738, 77–82.
7.
HollandM.LalorM. J.WalshJ.‘Principal displacements in a pressurized elliptic cylinder: Theoretical predictions with experimental verification by laser interferometry’, J. Strain Analysis19749, 159–165.