Difficulty: Easy
Correct Answer: Ultimate tensile stress
Explanation:
Introduction / Context:
In materials testing for mechanical engineering, the tensile test produces a characteristic stress–strain curve. Recognising key points on this curve—proportional limit, yield points, ultimate tensile stress, and fracture—is essential for safe design and failure prevention.
Given Data / Assumptions:
Concept / Approach:
The curve starts linear (Hooke’s law), then yields (upper/lower yield), then strain hardening increases stress until a maximum is reached (ultimate tensile stress). After this peak, local necking causes a reduction in load-carrying cross-section and the measured engineering stress drops until fracture.
Step-by-Step Solution:
Verification / Alternative check:
The ultimate tensile stress is always the maximum engineering stress recorded in the test; fracture stress is lower for ductile metals due to necking.
Why Other Options Are Wrong:
Yield point stress: occurs earlier, before strain hardening.Breaking stress: occurs at the end, after necking and load drop.Elastic limit: much earlier in the curve; end of purely elastic behaviour.
Common Pitfalls:
Confusing ultimate tensile stress with fracture stress; mixing engineering and true stress where the true stress can still rise after necking.
Final Answer:
Ultimate tensile stress
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