On the standard engineering stress–strain curve for mild steel under tension, what is the nature of the stress at point D (the peak of the curve before necking begins)?
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AYield point stress
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BBreaking (fracture) stress
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CUltimate tensile stress
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DElastic limit
Answer
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:
- A standard tensile test on a ductile (mild steel–like) specimen.
- Engineering stress–strain curve is considered (load divided by original area).
- Point D is the highest point on the curve before the final drop to fracture.
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:
Identify the linear region ending at proportional limit and elastic limit.Locate yield region (upper and lower yield points) for low-carbon steel.Observe strain hardening region leading to a peak stress value.Recognise that the highest stress reached (point D) is the ultimate tensile stress.Note the subsequent drop due to necking, ending at fracture stress.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