A laminated thick-walled hydraulic cylinder was fabricated by shrink-fitting jacket having an outside diameter of 300mm onto a SS 304 steel tube having an inside diameter of 100mm and an outside diameter of 200mm as shown in the figure. The interference (8) was 0.15mm. When the Young's modulus for both SS304 and 1020 steel is the same as 200GPa, and the Poisson's ratio is also the same as 0.3 for both materials, find the followings. Initially 100 mm Initially 200 mm Initially 300 mm SS 304 1020 steel (a) P; (interfacial contact stress) (b) The maximum stresses (σ, and σ+) in the laminated steel cylinder resulting from the shrink fit.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.2.10P: Solve the preceding problem for the following data: diameter LO m, thickness 48 mm, pressure 22 MPa,...
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A laminated thick-walled hydraulic cylinder was fabricated by shrink-fitting
jacket having an outside diameter of 300mm onto a SS 304 steel tube having an inside
diameter of 100mm and an outside diameter of 200mm as shown in the figure. The
interference (8) was 0.15mm. When the Young's modulus for both SS304 and 1020 steel
is the same as 200GPa, and the Poisson's ratio is also the same as 0.3 for both materials,
find the followings.
Initially 100 mm
Initially 200 mm
Initially 300 mm
SS 304
1020 steel
(a) P; (interfacial contact stress)
(b) The maximum stresses (σ, and σ+) in the laminated steel cylinder resulting from the
shrink fit.
Transcribed Image Text:A laminated thick-walled hydraulic cylinder was fabricated by shrink-fitting jacket having an outside diameter of 300mm onto a SS 304 steel tube having an inside diameter of 100mm and an outside diameter of 200mm as shown in the figure. The interference (8) was 0.15mm. When the Young's modulus for both SS304 and 1020 steel is the same as 200GPa, and the Poisson's ratio is also the same as 0.3 for both materials, find the followings. Initially 100 mm Initially 200 mm Initially 300 mm SS 304 1020 steel (a) P; (interfacial contact stress) (b) The maximum stresses (σ, and σ+) in the laminated steel cylinder resulting from the shrink fit.
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