Posted by Benedict White on 16/09/2023 17:55:24:
Many thanks Duncan. I will have to produce both a drawing and calculations, hence the desire for a ready made formula.
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If a freelance boiler is to be steamed at a club, i.e. in public, then the club's inspector has to be persuaded the thing is safe. It's about establishing confidence: design, materials, and construction methods all shown to be in good order. Building a well-known successful boiler from an existing plan helps because there's a proven track record. All the inspector has to do with a trusted design is make sure appropriate materials have been correctly assembled. The list of 'appropriate materials' may be short – in the UK easier to assure a silver soldered copper boiler than welded steel because not many inspectors have the experience or equipment needed to inspect steel boilers. Best ask about materials and methods before building anything!
Formula are helpful, but need to be understood in context, especially if the goal is a light, efficient, high-pressure boiler. Construction methods have to match the formula's assumptions, for which reason heavy inefficient low-pressure over-engineered boilers are easier to make! Design from scratch is quite difficult, typically involving lots of sums, much thought – 'what could possibly go wrong' – and brutally testing several expensive prototypes to flush out bugs.
Another approach is to model the item in 3D-CAD and run a Finite Element Analysis on it. The Finite Element Method doesn't use textbook formula: instead the structure is triangulated and a force applied to the resulting mesh. The effect of the force on all the triangle legs is calculated. As the mechanical properties of the material are known, the effect of the force throughout the physical object is modelled, and can be colour coded:
Blue indicates areas of low stress, rising through green, yellow and orange to high (red). Simply, blue indicates parts of the model that might be reduced because they are over-strong, whilst red highlights sections that might need beefing up.
FEM is a generalised approach that doesn't require particular formula and their application to be understood, Accuracy depends on the density of the triangulated mesh, and substitutes a computer doing millions of calculations for the analytically derived formula found in textbooks.
Stress concentrations are presented visually, and CAD allows the design to be altered quickly. The method makes it possible to fix many structural problems before building anything for real.
No such thing as a free lunch! The engineer still has to understand the numbers behind the colours – red means 'area of high-stress' rather than 'this will break'. And the limitations of his model. For example, FEM is likely to assume perfect construction, resulting in a model with joints considerably stronger than real ones. The designer has to make practical allowances, including adding substantial safety factors. And if the inspector isn't familiar with FEA, it may be asking too much to expect him to approve a FEM model.
Bottom line, however the boiler is designed and built, keep the inspector happy at all stages of the process.
Dave