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At the location of the plastic hinge of a deformed structure
- a)Curvature is infinite
- b)Radius of curvature is infinite
- c)Moment is infinite
- d)Flexural stress is infinite
Correct answer is option 'A'. Can you explain this answer?
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At the location of the plastic hinge of a deformed structurea)Curvatur...
Explanation:
When a structure undergoes plastic deformation, the plastic hinge is formed, which is a location where the material has yielded and cannot return to its original shape. At this location, the curvature becomes infinite, which means that the structure has lost its ability to resist any further deformation.
Here's a breakdown of each option:
a) Curvature is infinite: This statement is true. At the plastic hinge, the curvature is infinite because the structure has undergone plastic deformation, and the material has yielded.
b) Radius of curvature is infinite: This statement is false. The radius of curvature is the reciprocal of curvature. Since the curvature is infinite, the radius of curvature is zero.
c) Moment is infinite: This statement is false. The moment at the plastic hinge is not infinite. It is a maximum value that can be calculated based on the section properties and the yield strength of the material.
d) Flexural stress is infinite: This statement is false. The flexural stress at the plastic hinge is not infinite. It is a maximum value that can be calculated based on the moment and the section properties.
In conclusion, when a structure undergoes plastic deformation, the plastic hinge is formed, and the curvature becomes infinite. This means that the structure has lost its ability to resist any further deformation.
When a structure undergoes plastic deformation, the plastic hinge is formed, which is a location where the material has yielded and cannot return to its original shape. At this location, the curvature becomes infinite, which means that the structure has lost its ability to resist any further deformation.
Here's a breakdown of each option:
a) Curvature is infinite: This statement is true. At the plastic hinge, the curvature is infinite because the structure has undergone plastic deformation, and the material has yielded.
b) Radius of curvature is infinite: This statement is false. The radius of curvature is the reciprocal of curvature. Since the curvature is infinite, the radius of curvature is zero.
c) Moment is infinite: This statement is false. The moment at the plastic hinge is not infinite. It is a maximum value that can be calculated based on the section properties and the yield strength of the material.
d) Flexural stress is infinite: This statement is false. The flexural stress at the plastic hinge is not infinite. It is a maximum value that can be calculated based on the moment and the section properties.
In conclusion, when a structure undergoes plastic deformation, the plastic hinge is formed, and the curvature becomes infinite. This means that the structure has lost its ability to resist any further deformation.
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At the location of the plastic hinge of a deformed structurea)Curvatur...
Radius of curvature is infinite
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At the location of the plastic hinge of a deformed structurea)Curvature is infiniteb)Radius of curvature is infinitec)Moment is infinited)Flexural stress is infiniteCorrect answer is option 'A'. Can you explain this answer?
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