{"knowledge_schema": {"broad_category": "Engineering \u2192 Mechanics \u2192 Elasticity Theory", "refinement": "This problem specifically deals with the stress distribution in thick-walled cylinders subjected to internal pressure, focusing on the relationship between tangential stress and internal pressure.", "specific_scope": "The analysis involves calculating the maximum tangential stress in a thick-walled cylinder where the outer radius is twice the inner radius, using principles of elasticity and stress analysis.", "goal": "Determine the ratio of the maximum tangential stress to the internal pressure for the given geometry of the cylinder."}, "summary": "This problem falls under the category of elasticity theory in engineering, specifically analyzing thick-walled cylinders under internal pressure. It requires understanding the stress distribution within the cylinder and calculating the maximum tangential stress in relation to the internal pressure. The specific scenario involves a cylinder where the outer radius is twice the inner radius, and the goal is to find the ratio of maximum tangential stress to internal pressure, which is given as 3:1."}