In this virtual lab we examine the relationship between stresses and strains for an ideal thin cylinder with varying amounts of internal pressure applied to its walls. As stresses are very hard if not impossible to measure, we will use strain gauges to determine the respective strains on the cylinder and then translate these results into their corresponding stresses from ideal thin cylinder theory.
We will do this by graphing experimental results versus theoretical calculations. We will take into account the error of the measuring system.
We will also investigate the role gauge factor, Young's Modulus, and Poisson's ratio play in the effects on strain with pressure. Finally, we will project the outcome of the experiment on the cylinder as the pressure increases to some unknown large finite threshold.
If one were to think of this as in a cylindrical coordinate system, the longitudinal strain would be that acting in the Z direction whereas the cirucumferential (otherwise known as the tangential or lateral) strain would be acting in the direction of theta and not radially.
both ends eliminating any longitudinal stress or strain. Our case consists of the second case of a thin cylinder with closed ends. In a thin cylinder with closed ends, longitudinal stresses and strains exist, and both circumferential and longitudinal strains depend on both stresses respectively.
The use of a hand pump allows one to make step measurements of strain at each increment of pressure provided by the hand pump. Each step measurement has a corresponding data point in the table of results.
A bourdon gauge is used because it has a tube you can insert inside the cylinder that has the capacity to ex ...