Stresses due to Shrink Fitting — Lesson 4

This lesson covers the concept of calculating stresses in a thick cylinder, specifically a duplex cylinder. It explains the process of shrink fitting, where one cylinder is fitted into another, and how this process results in the development of radial pressure at the interface. The lesson further elaborates on how this pressure affects the expansion and contraction of the inner and outer cylinders respectively. It also discusses the impact of different materials on the stress distribution within the cylinder. For instance, if the inner and outer cylinders are made of different materials, the stress distribution will vary. The lesson concludes with a detailed example of calculating shrink fit stresses and hoop stresses in a duplex cylinder made of steel and aluminum.

Video Highlights

01:29 - Explanation of duplex cylinder and shrink fitting
07:26 - Calculation of shrink fit stresses
14:10 - Explanation of how the contact pressure affects the cylinders.
19:53 - Explanation of how the stresses develop in the assembly.
33:59 - Explanation of how the assembly can increase the pressure capacity of the cylinder.
39:47 - Calculation of the shrink fit stresses and hoop stresses when the assembly is subjected to a pressure .
50:25 - Explanation of how the stresses due to internal pressure can be calculated.
57:32 - Calculation of the total stress due to shrink fitting and internal pressure.

Key Takeaways

- Shrink fitting is a process where one cylinder is fitted into another, creating a duplex cylinder.
- The shrink fitting process results in radial pressure at the interface, affecting the expansion and contraction of the inner and outer cylinders.
- The material of the cylinders plays a significant role in the stress distribution within the cylinder.