Thermal Stress Distribution in Cylinders — Lesson 4

This lesson covers the calculation of thermal stresses in cylindrical vessels with varying temperature in the radial direction. It explains how temperature distribution in the radial direction can give rise to thermal stresses. The lesson further elaborates on the calculation of stresses for a hollow disc or cylinder with internal and external radius. It also discusses the stress-strain relationship and the equilibrium equation for stress distribution. The lesson concludes with an illustrative example of a heat exchanger where the temperature distribution is logarithmic.

Video Highlights

00:38 - Introduction to thermal stresses in a rectangular plate with symmetric and asymmetric distribution of temperature in the heat direction
05:44 - Derivation of the equilibrium equation for stress distribution.
13:29 - Explanation of the displacement in the temperature field
19:35 - Discussion on the boundary conditions in the problem of a cylinder.
22:07 - Calculation of the radial stress at the inner and outer radius.
46:54 - Explanation of the stress distribution in a cylinder with temperature variation.
50:43 - Discussion on practical applications and examples of thermal stresses.

Key Takeaways

- Thermal stresses can occur in cylindrical vessels due to variation of temperature in the radial direction.
- The stress-strain relationship and the equilibrium equation are crucial for calculating stress distribution.
- The calculation of stresses for a hollow disc or cylinder involves considering the internal and external radius.
- In a heat exchanger, the temperature distribution in the radial direction is logarithmic, which can be used to calculate the thermal stresses.