[L2] A pipe in a power plant has been fabricated by shrink-fitting a steel cylinder of outer diameter 360 mm on to a sta

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[L2] A pipe in a power plant has been fabricated by
shrink-fitting a steel cylinder of outer diameter 360 mm on to a
stainless steel inner cladding of outside diameter 100 mm and wall
thickness 20 mm. This has been done to provide adequate corrosion
resistance. You may assume that the axial stresses (𝜎!!) generated
are negligible. For the outer steel, 𝐸 = 210 GPa
and 𝜐 = 0.3. For the stainless steel
cladding 𝐸 = 190 GPa and 𝜐= 0.3.
a) For this problem, how may the general equations for the
radial stress (𝜎"") and hoop stress (𝜎##) be simplified for the
cladding and the cylinder?
b) During operation, it is anticipated that there will be
an internal pressure of 200 MPa. What are the boundary conditions
for the problem?
c) If the stress in the cladding is to remain compressive,
what must be the initial circumferential stress due to interference
at the inside surface of the cladding?