A study of single mitre pipe bends.
The use of single mitre oipe bends, in pipework and ducting, is
evident in many areas of industry. However, it has been recognized
that a theory which embraced all aspects of the elastic behaviour
o£ single mitre bends does not exist. The present investigation
demonstrates ~~e feasibility of using finite element methods for such
After an extensive series of 'verification comparisons' with
experimental results obtained by the aUL~or and also with D~eoretical
and experimental results available in the literature, a study of a
wide range of ~~reinforced and fully fixed mitres was carried out.
As a result of this study, useful design curves illustrating ~~e
variation of stress concentration factor and flexibility factor, WiL~
radius to ~~ickness ratio and mitre angle, were produced for an inplane
The above verification comparisons included in-plane bending, out-ofplane
nending, torsion, internal pressure and transverse force
loadings. An investigation into the effect of leg length and
material properties on ~~e behaviour of mitre bends was also conducted.
As a result of these studies, the limitations of currently used design
Code formulae became evident.
Possible difficulties in the numerical solution of thin shell problems
are highlighted. In addition, a study of various methods of
modelling shell intersections is reported.
The most comprehensive review of literature to date, on all aspects
of mitre bend behaviour, is presented in the Supplement to this thesis.