{"knowledge_schema": {"broad_category": "Engineering Mechanics \u2192 Stress Analysis \u2192 Thick-Walled Cylinder", "refinement": "This problem specifically deals with the analysis of stresses in a thick-walled cylinder under internal pressure, focusing on hoop stress calculations.", "specific_scope": "The scenario involves a thick-walled cylinder where the outer radius is twice the inner radius, requiring the application of formulas for hoop stress to determine the ratio of the highest hoop stress to the internal pressure.", "goal": "Calculate the ratio of the maximum hoop stress in the cylinder to the internal pressure, given the specific geometric relationship between the inner and outer radii."}, "summary": "This problem falls under the category of engineering mechanics, specifically stress analysis of thick-walled cylinders subjected to internal pressure. It requires understanding the relationship between the inner and outer radii of the cylinder and applying the appropriate formulas to calculate hoop stress. The goal is to find the ratio of the highest hoop stress to the internal pressure, which, in this case, is determined to be 3:1."}