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Engineers' Guide to Pressure Equipment - Index of

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24<br />

Engineers’ <strong>Guide</strong> <strong>to</strong> <strong>Pressure</strong> <strong>Equipment</strong><br />

i) Seamless ii) Welded (joint effeciency 3)<br />

iii) The practical desgin<br />

Fig. 3.2 Welded joint efficiency – the principle<br />

3.2.3 <strong>Pressure</strong> vessel cylinders<br />

Vessel cylinders are usually made from flat plates that are rolled and then<br />

welded along their longitudinal joints. Circumferential joints are used <strong>to</strong><br />

attach end pieces (dished ends or ‘heads’) <strong>to</strong> the cylinder, and <strong>to</strong> weld<br />

<strong>to</strong>gether rolled plates for a long vessel. Weld types and efficiencies usually<br />

differ for longitudinal and circumferential joints. The joint stresses in a<br />

vessel must, therefore, be designed <strong>to</strong> satisfy both requirements.<br />

Typically, this is expressed in a form something like (see Fig. 3.3).<br />

• Circumferential stress, S c = (pD/2t ) ≤ η � S<br />

where η � = longitudinal joint efficiency and p = pressure<br />

and<br />

• Longitudinal stress, S � = (pD/4t) ≤ η c S<br />

where η c = circumferential joint efficiency and p = pressure<br />

The symbol σ c is sometimes used instead <strong>of</strong> S c, and σ � instead <strong>of</strong> S �<br />

p = pressure<br />

In these formulae, most vessel codes take the diameter, D, <strong>to</strong> be the mean at<br />

the wall mid-surface (D = D i + t), although they <strong>of</strong>ten quote the equation<br />

conveniently in terms <strong>of</strong> D i (the inner diameter). As the circumferential<br />

stress is twice the longitudinal stress, the circumferential strength is usually<br />

the controlling parameter, provided that η c is greater than half η � (which is

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