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Consider the following assumptions made in the plastic theory
1. Distribution of strain across the section is linear
2. There is an axis of symmetry in the cross- section
3. The influence of normal and shearing forces is neglected
4. Strain energy stored due to elastic bending is ignored
Which of these assumptions are correct?
  • a)
    1, 2 and 3
  • b)
    1, 2 and 4
  • c)
    1, 3 and 4
  • d)
    1, 2, 3 and 4
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Consider the following assumptions made in the plastic theory1. Distri...
Assumptions in Plastic Theory:

1. Distribution of strain across the section is linear
2. There is an axis of symmetry in the cross-section
3. The influence of normal and shearing forces is neglected
4. Strain energy stored due to elastic bending is ignored

Explanation:

1. Distribution of strain across the section is linear:
This assumption implies that the strain distribution across the section is assumed to be linear, which means that the strain varies linearly with the distance from the neutral axis. This assumption simplifies the analysis and allows for the determination of plastic moments and plastic section modulus.

2. There is an axis of symmetry in the cross-section:
This assumption assumes the presence of an axis of symmetry in the cross-section. The axis of symmetry divides the section into two equal halves, which simplifies the analysis and allows for the determination of plastic moments and plastic section modulus.

3. The influence of normal and shearing forces is neglected:
This assumption neglects the influence of normal and shearing forces on the behavior of the section. It assumes that only bending moments are present and these moments are the only significant factor in determining the plastic behavior of the section.

4. Strain energy stored due to elastic bending is ignored:
This assumption ignores the strain energy stored in the section due to elastic bending. It assumes that the section behaves plastically and does not consider the elastic response of the material. This assumption simplifies the analysis and allows for the determination of plastic moments and plastic section modulus.

Correct assumptions:
Based on the given options, the correct assumptions are:
- Distribution of strain across the section is linear
- There is an axis of symmetry in the cross-section
- The influence of normal and shearing forces is neglected
- Strain energy stored due to elastic bending is ignored

Therefore, the correct answer is option 'D' - 1, 2, 3, and 4.
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Consider the following assumptions made in the plastic theory1. Distribution of strain across the section is linear2. There is an axis of symmetry in the cross- section3. The influence of normal and shearing forces is neglected4.Strain energy stored due to elastic bendingis ignoredWhich of these assumptions are correct?a)1, 2 and 3b)1, 2 and 4c)1, 3 and 4d)1, 2, 3 and 4Correct answer is option 'D'. Can you explain this answer?
Question Description
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