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Stress concentration in a machine component of a ductile material is not so harmful as it is in a brittle material because
[1989]
  • a)
    in ductile material local yieldi ng m ay distribute stress concentration
  • b)
    ductile material has larger young' s material
  • c)
    Poisson's ratio is larger in ductile materials
  • d)
    Modulus of rigidity is larger in ductile materials
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Stress concentration in a machine component of a ductile material is n...
Local yielding reduces stress concentration effect.
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Most Upvoted Answer
Stress concentration in a machine component of a ductile material is n...
Explanation:

Stress concentration:
Stress concentration refers to the localized increase in stress within a material due to the presence of a geometric discontinuity, such as a notch, hole, or sharp corner. These discontinuities create stress concentration points, which can lead to failure or fracture of the material under load.

Comparison between ductile and brittle materials:

1. Local yieldi ng m ay distribute stress concentration in ductile material:
In ductile materials, such as metals, stress concentration is not as harmful as in brittle materials. This is because ductile materials have the ability to undergo plastic deformation before fracture. When stress is concentrated at a particular point, the local yield strength of the material may be exceeded, leading to plastic deformation around that point. This plastic deformation helps to distribute the stress concentration and reduce its detrimental effects. In other words, the material can undergo plastic flow and redistribute the stress, thereby preventing the formation of a localized high-stress region.

2. Larger young's modulus in ductile materials:
Young's modulus is a measure of the stiffness or rigidity of a material. Ductile materials typically have a higher Young's modulus compared to brittle materials. However, Young's modulus does not directly influence the harmful effects of stress concentration. It only indicates the material's ability to resist deformation under load.

3. Poissons ratio is larger in ductile materials:
Poisson's ratio is a measure of the lateral contraction of a material when subjected to axial loading. It is a dimensionless quantity, usually between -1 and 0.5. Poisson's ratio does not directly affect the harmful effects of stress concentration.

4. Modulus of rigidity is larger in ductile materials:
The modulus of rigidity, also known as shear modulus, is a measure of a material's resistance to shear deformation. Ductile materials generally have a higher modulus of rigidity compared to brittle materials. However, the modulus of rigidity does not directly influence the harmful effects of stress concentration.

Therefore, the correct answer is option 'A' - in ductile materials, local yielding may distribute stress concentration. Ductile materials have the ability to undergo plastic deformation, which helps to redistribute the stress and prevent the formation of localized high-stress regions. This property makes stress concentration less harmful in ductile materials compared to brittle materials.
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Stress concentration in a machine component of a ductile material is not so harmful as it is in a brittle material because[1989]a)in ductile material local yieldi ng m ay distribute stress concentrationb)ductile material has larger young s materialc)Poissons ratio is larger in ductile materialsd)Modulus of rigidity is larger in ductile materialsCorrect answer is option 'A'. Can you explain this answer?
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