User`s guide

61
Figure 1b Top View of a Pressure Transducer Figure 1c Circuit Diagram of a Wheat Stone Bridge
2.2 Stress and Strain in a Thin-Wall Cylinder
For vessels with a wall thickness of no more than one-tenth of its radius, the wall can be treated as a
surface. The law of LaPlace holds for fluid or gas filled hollow objects with radius r. For cylinders, the
internal pressure acts on them to develop a force along the axis of the cylinder.
Figure 16 Static equilibrium in cross-sections of a thin-walled cylinder
To determine the hoop stress

, equilibrium in the radial direction should be examined. As illustrated
in figure 2, the pressure acts to “pull the two halves apart”, while the hoop stress balances the effect. The
hoop stress yields,



Therefore,





Eq.2
Eq.1