Problem 11.11Given: A composite aluminum alloy (E = 72 GPa and ν=0.33) cylinder is made up of an inner cylinder with inneran outer diameters of 80 and 120+ mm, respectively, andan outer cylinder with inner and outer diameters of 120and 240 mm, respectively. The composite cylinder issubjected to an internal pressure of 160 MPa. Whatmust the outside diameter of the inner cylinder be if thecircumferential stress at the inside of the compositecylinder is equal to 130 MPa.Solution:a80 mm⋅2:=b240 mm⋅2:=c120 mm⋅2:=p1160 MPa⋅:=p20 MPa⋅:=P0:=Using Eq. 11.21, evaluate σθθfor the One Piece Solution (OPS) at at r=a:σθθOPSp1a2⋅p2b2⋅−b2a2−a2b2⋅a2b2a2−()⋅p1p2−⋅+200 MPa⋅=:=The total stress is computed from:σθθTotal
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