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.

Calculating Diameter for Longitudinal Joint:

The formula for hoop stress is Stress = Pressure * Radius / Thickness. By rearranging the equation to solve for the diameter, we can determine the ratio of diameter to thickness for the longitudinal joint as 320.

Calculating Diameter for Girth Joint:

Similarly, using the hoop stress formula and substituting the given values, we can calculate the ratio of diameter to thickness for the girth joint as 133.33.

Calculating Minimum Thickness:

To find the minimum thickness of the cylindrical tank with a stress limit of 40 Mpa, we apply the formula for maximum stress and derive the diameter to thickness ratio as 53.33. This ensures that the stress in the tank remains within the specified limit. In conclusion, the diameter and minimum thickness of a cylindrical tank can be determined by analyzing the strength per meter of longitudinal and girth joints, as well as considering stress limits. By calculating the ratios of diameter to thickness for different conditions, engineers can ensure the structural integrity and safety of the cylindrical tank under various pressures. For further insights on calculating these parameters for cylindrical tanks, refer to the detailed explanation provided in the reference link provided.
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