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In a plastic analysis of structures, the segment between any two successive plastic hinges is assumed to deform as
- a)A plastic material
- b)A rigid material
- c)An elastic material
- d)An inelastic material
Correct answer is option 'B'. Can you explain this answer?
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In a plastic analysis of structures, the segment between any two succe...
The initial slopes and deflections of the beam do not affect the virtual work equations. Thus the displacement diagram can be simplified to consists of straight and undefiected lines i.e. rigid deformation.
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In a plastic analysis of structures, the segment between any two succe...
Plastic Analysis of Structures:
Plastic analysis is a method of designing structures based on the ultimate strength of the material. It assumes that the structure will undergo plastic deformation before failure. The analysis involves dividing the structure into plastic hinges and analyzing each hinge separately.
Deformation Between Plastic Hinges:
The segment between any two successive plastic hinges is assumed to deform as a rigid material. This means that the length of the segment remains constant, and there is no deformation or strain.
Reasons for Assuming Rigid Deformation:
1. Plastic Hinges: Plastic hinges are formed when a section of the structure reaches its ultimate strength and undergoes plastic deformation. The plastic hinge is assumed to be the point where the structure fails. Therefore, the segment between two plastic hinges is assumed to be rigid, as it cannot deform any further.
2. Simplified Analysis: Assuming rigid deformation simplifies the analysis and makes the calculations easier. It also provides conservative results, as the actual deformation between plastic hinges is usually small.
3. Stiffness of the Structure: The stiffness of the structure between plastic hinges is very high, which means that the deformation is negligible. Therefore, assuming rigid deformation is a reasonable assumption.
Conclusion:
In plastic analysis of structures, the segment between any two successive plastic hinges is assumed to deform as a rigid material. This assumption simplifies the analysis and provides conservative results. However, it is important to note that this assumption is only valid for small deformations between plastic hinges.
Plastic analysis is a method of designing structures based on the ultimate strength of the material. It assumes that the structure will undergo plastic deformation before failure. The analysis involves dividing the structure into plastic hinges and analyzing each hinge separately.
Deformation Between Plastic Hinges:
The segment between any two successive plastic hinges is assumed to deform as a rigid material. This means that the length of the segment remains constant, and there is no deformation or strain.
Reasons for Assuming Rigid Deformation:
1. Plastic Hinges: Plastic hinges are formed when a section of the structure reaches its ultimate strength and undergoes plastic deformation. The plastic hinge is assumed to be the point where the structure fails. Therefore, the segment between two plastic hinges is assumed to be rigid, as it cannot deform any further.
2. Simplified Analysis: Assuming rigid deformation simplifies the analysis and makes the calculations easier. It also provides conservative results, as the actual deformation between plastic hinges is usually small.
3. Stiffness of the Structure: The stiffness of the structure between plastic hinges is very high, which means that the deformation is negligible. Therefore, assuming rigid deformation is a reasonable assumption.
Conclusion:
In plastic analysis of structures, the segment between any two successive plastic hinges is assumed to deform as a rigid material. This assumption simplifies the analysis and provides conservative results. However, it is important to note that this assumption is only valid for small deformations between plastic hinges.
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In a plastic analysis of structures, the segment between any two successive plastic hinges is assumed to deform asa)A plastic materialb)A rigid materialc)An elastic materiald)An inelastic materialCorrect answer is option 'B'. Can you explain this answer?
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