10.5 SHRINKAGE EFFECT
To shrink outer tube over the inner tube, it is necessary that the inner diameter of the outer cylinder should be slightly less than the outer diameter of the inner cylinder. This is needed such that after the tubes are filled the required radial pressure at the junction of the tubes may be reached.
Let Rc be the common radius of the tubes at the junction after the shrinkages.
Let δr′ be the difference between the outer radius of inner tube and Rc.
Let δr″ be the difference between the inner radius of the outer tube and Rc.
∴ Original difference of the radius of the two tubes at the junction = δRc = δRi′ + δRi″
Now for outer tube (using Lame’s relation).
∴ Circumferential tensile strain for the outer tube at the ...
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