1. What is the importance of stress analysis in engineering design? Mention stress analysis approaches that generally engineers use. In a broader context, make a list of experiment... 1. What is the importance of stress analysis in engineering design? Mention stress analysis approaches that generally engineers use. In a broader context, make a list of experimental methods available for stress analysis and explain any three methods. 2. Differentiate between divergence and gradient terminologies used in mechanics. Derive differential form of governing stress equation for a loaded body to be under equilibrium. 3. Why is Griffith criterion at the core of linear elastic fracture mechanics theory? Using Griffith's energy balance derive criterion for crack to grow. Derive critical crack length criterion for plane strain cases. 4. (a) Derive relationship between energy release rate and stress intensity factor applied to plane strain case as per LEFM. Explain the necessity of SIF as one can ascertain fracture-related information using energy release rate. (b) A pressure vessel is to be designed using the leak-before-break criterion based on the circumferential wall stress and plane strain fracture toughness. The design stress is restricted by the yield strength and a safety factor (Sf). Derive expressions for (a) the critical crack size and (b) the maximum allowable pressure when the crack size is equal to the vessel thickness. 5. Sketch the typical strain gage layout and mention its nomenclature. Define strain gage. Explain elementary circuits used in strain gages. Discuss advantages and limitations.

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The question paper is asking about various topics related to experimental stress analysis. It includes inquiries about the importance of stress analysis in engineering design, differentiation of terminologies in mechanics, Griffith's criteria in fracture mechanics, energy release rates, strain gage circuits, and practical applications in engineering design. The focus is on theoretical understanding and derivation of expressions related to stress analysis.

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