{"knowledge_schema": {"broad_category": "Engineering \u2192 Mechanics \u2192 Elasticity Theory", "refinement": "This problem specifically deals with the stress analysis of 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 the principles of elasticity and stress distribution.", "goal": "Determine the ratio of the maximum tangential stress to the internal pressure for the given geometry of the cylinder."}, "summary": "This problem involves the application of elasticity theory to analyze the stresses in a thick-walled cylinder under internal pressure. The specific scenario requires calculating the maximum tangential stress when the outer radius is twice the inner radius. The goal is to find the ratio of this maximum tangential stress to the internal pressure, which can be derived from the relevant equations in elasticity theory."}