Tensile Stress and shear stress

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SUMMARY

The discussion focuses on the concepts of tensile stress and shear stress as they relate to the behavior of a mild steel bar under tension. When the tensile force exceeds the yield strength, plastic deformation occurs, leading to strain hardening and potential necking. Necking is not classified as shear failure; rather, it is a result of Poisson's effect and strain hardening. The analysis of stress states using Mohr's circle reveals that maximum shear stress occurs at 45 degrees to the long axis of the specimen during necking.

PREREQUISITES
  • Understanding of tensile stress and yield strength in materials
  • Familiarity with plastic deformation and strain hardening concepts
  • Knowledge of Mohr's circle for stress analysis
  • Basic principles of shear stress and its relation to normal stress
NEXT STEPS
  • Study the mechanics of materials focusing on tensile and shear stress
  • Learn about Poisson's effect and its implications in material behavior
  • Explore advanced topics in strain hardening and its effects on ductility
  • Investigate practical applications of Mohr's circle in engineering stress analysis
USEFUL FOR

Mechanical engineers, materials scientists, and students studying material mechanics will benefit from this discussion, particularly those interested in the behavior of materials under tensile loads and the analysis of stress states.

giri
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Suppose, a mild steel bar is being pulled from both ends.The stress acting on it will be tensile in nature.There is no compressive stress on material in this situation.When the pull exceeds material's yield strength,plastic deformation and strain hardening will occur.If pulling force is increased, neck may form on middle portion of material, which may lead to material failure.Here can I consider necking process is a form of shear failure and the stress lead to necking is shear stress?
 
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No I don't think you can because in tension nothing's shearing. As you said, necking is a product of Poisson's effect and strain hardening.
 
For your tensile test specimen, look at Mohr's circle. A stress block oriented parallel and perpendicular to the specimen long axis shows max normal stress on the transverse sides and zero normal stress on the axial sides. This means that there is a max shear stress equal to half the max normal stress acting at 45 deg to the long axis. As the specimen necks down, there is definitely shearing action happening along a 45 deg line; this should be visible in an actual test in the latter stages.
 
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