Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Consider the following statements:The princip...
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Consider the following statements:
The principle of superposition is not applicable when
1. The material does not obey Hooke’s law
2. The effect of temperature changes are taken into consideration
3. The structure is being analysed for the effect of support settlement
Which of these statement (s) is/are correct?
- a)1 only
- b)1 and 2
- c)2 and 3
- d)1, 2 and 3
Correct answer is option 'D'. Can you explain this answer?
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Consider the following statements:The principle of superposition is no...
According to the principle of superposition, for a linearly elastic structure, the load effects caused by two or more loadings are the sum of the load effects caused by each loading separately. Note that the principle is limited to:
• Linear material behaviour only;
• Structures undergoing small deformations only (linear geometry).
It is not applicable when:
1. The material does not obey Hooke’s law.
2. The effect of temperature changes are taken into consideration.
3. The structure is being analysed for the effect of support settlement.
Most Upvoted Answer
Consider the following statements:The principle of superposition is no...
's law.
2. The deformation is permanent.
3. The material is nonlinear.
Explanation:
The principle of superposition states that the total response of a linear system to multiple inputs is the sum of the responses to each individual input. However, this principle is not applicable in certain situations.
1. When the material does not obey Hooke's law: Hooke's law states that the deformation of a material is directly proportional to the applied force. However, some materials do not obey this law, and their behavior cannot be accurately predicted using the principle of superposition.
2. When the deformation is permanent: The principle of superposition assumes that the deformation of a material is reversible and that it returns to its original state when the applied force is removed. However, in cases where the deformation is permanent, such as plastic deformation, the principle is not applicable.
3. When the material is nonlinear: The principle of superposition only applies to linear systems, where the response is directly proportional to the input. Nonlinear materials have a response that is not proportional to the input, and therefore the principle of superposition cannot be used to accurately predict their behavior.
2. The deformation is permanent.
3. The material is nonlinear.
Explanation:
The principle of superposition states that the total response of a linear system to multiple inputs is the sum of the responses to each individual input. However, this principle is not applicable in certain situations.
1. When the material does not obey Hooke's law: Hooke's law states that the deformation of a material is directly proportional to the applied force. However, some materials do not obey this law, and their behavior cannot be accurately predicted using the principle of superposition.
2. When the deformation is permanent: The principle of superposition assumes that the deformation of a material is reversible and that it returns to its original state when the applied force is removed. However, in cases where the deformation is permanent, such as plastic deformation, the principle is not applicable.
3. When the material is nonlinear: The principle of superposition only applies to linear systems, where the response is directly proportional to the input. Nonlinear materials have a response that is not proportional to the input, and therefore the principle of superposition cannot be used to accurately predict their behavior.
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Consider the following statements:The principle of superposition is not applicable when1. The material does not obey Hooke’s law2. The effect of temperature changes are taken into consideration3. The structure is being analysed for the effect of support settlementWhich of these statement (s) is/are correct?a)1 onlyb)1 and 2c)2 and 3d)1, 2 and 3Correct answer is option 'D'. Can you explain this answer?
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