Consider a laminated pressure vessel composed of two thin coaxial cylinders as shown in figure. In the state prior to assembly there is a slight "interference" between these cylinders, i.e., the inner one is too large to slide into the outer one. The outer cylinder is heated, placed on the inner, and allowed to cool, thus providing a "shrink fit." If both the cylinders are of steel and the mean diameter of the assembly is 100 mm, find the tangential stresses in each shell arising from the shrinking if the initial interference (of diameters) is 0.25 mm. The thickness of the inner shell is 2.5 mm, and that of the outer shell 2 mm. Take E = 200 GPa. 100 mm Laminated pressure vassel Outer cylinder Inner cylinder

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Author:Kreith, Frank; Manglik, Raj M.
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Chapter1: Basic Modes Of Heat Transfer
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Problem 1.68P
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Thin walled pressure vessel

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Q.8
Consider a laminated pressure vessel composed of two thin coaxial cylinders as
shown in figure. In the state prior to assembly there is a slight "interference"
between these cylinders, i.e., the inner one is too large to slide into the outer one.
The outer cylinder is heated, placed on the inner, and allowed to cool, thus
providing a "shrink fit." If both the cylinders are of steel and the mean diameter
of the assembly is 100 mm, find the tangential stresses in each shell arising from
the shrinking if the initial interference (of diameters) is 0.25 mm. The thickness
of the inner shell is 2.5 mm, and that of the outer shell 2 mm. Take E = 200 GPa.
100 mm
Laminated pressure vassel
Outer cylinder
Inner cylinder
Transcribed Image Text:Q.8 Consider a laminated pressure vessel composed of two thin coaxial cylinders as shown in figure. In the state prior to assembly there is a slight "interference" between these cylinders, i.e., the inner one is too large to slide into the outer one. The outer cylinder is heated, placed on the inner, and allowed to cool, thus providing a "shrink fit." If both the cylinders are of steel and the mean diameter of the assembly is 100 mm, find the tangential stresses in each shell arising from the shrinking if the initial interference (of diameters) is 0.25 mm. The thickness of the inner shell is 2.5 mm, and that of the outer shell 2 mm. Take E = 200 GPa. 100 mm Laminated pressure vassel Outer cylinder Inner cylinder
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