Determining Diameter and Minimum Thickness of a Cylindrical Tank
What are the methods to determine the diameter of a cylindrical tank based on the strength per meter of longitudinal joint and girth joint? Also, how do we calculate the minimum thickness of the cylindrical tank if stress is limited to a certain value?
The diameter of a cylindrical tank can be determined using the formula for hoop stress: Stress = Pressure * Radius / Thickness. To calculate the diameter based on the strength per meter of the longitudinal joint, we can use the equation: 480 KN = 1.5 Mpa * (Diameter/2) / Thickness. Simplifying the equation gives us a diameter to thickness ratio of 320. Similarly, for the girth joint, the equation would be 200 KN = 1.5 Mpa * (Diameter/2) / Thickness, resulting in a diameter to thickness ratio of 133.33. For determining the minimum thickness of the cylindrical tank with a stress limit of 40 Mpa, we can use the formula for maximum stress: Stress = Pressure * Diameter / (2 * Thickness). Substituting the values gives us the equation: 40 Mpa = 1.5 Mpa * Diameter / (2 * Thickness), which simplifies to a diameter to thickness ratio of 53.33. Therefore, the calculations show that the diameter to thickness ratio for the longitudinal joint is 320, for the girth joint is 133.33, and for the stress limit is 53.33.