Thick and Thin Cylinders:
This unit presents the analysis of thin & thick cylindrical shells subjected to fluid pressure. Steam boilers, reactors, reservoirs, nuclear containers tanks, working chambers of engines, etc. are the general examples. In this unit, stresses & strains induced in the walls of the cylinder shall be found out based on the geometry of the shell & equilibrium of the forces involved. We shall begin by defining thin cylinders identify the assumptions made in the analysis. After discovering the stresses in the material of the cylinder, strains shall be calculated. Stresses in wire wound pipes shall be considered.
Then we will see the limitations for treating a shell to be thin and look for the differences in the behaviour of a thick shell as against a thin shell. The stresses in a thick cylinder shall be obtained depend on a standard method involving certain assumptions.
Objectives
After studying this unit, you should be able to
- Describe a cylindrical shell & distinguish between thin and thick cylinders,
- recognize the assumptions involved in the analysis of a thin cylinder,
- Find out the stresses in a thin cylinder,
- Determine the strains and deformation in thin cylinder,
- determine stresses in a wire wound pipe,
- make out the supposition for analyzing a thick cylinder,
- derive the standard expressions for stresses in thick shell, and
- determine the stress distribution across a compound cylinder.