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Which one of the following statements is correct? The principle of superposition is applicable to
  • a)
    nonlinear behaviour of material and small displacement theory.
  • b)
    nonlinear behaviour of material and large displacement theory.
  • c)
    linear elastic behaviour of material and small displacement theory.
  • d)
    linear elastic behaviour of material and large displacement theory.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which one of the following statements is correct? The principle of sup...
The principle of superposition states that the displacements resulting from each of a number of forces may be added to obtain the displacements resulting from the sum of forces. This method depends upon the linearity of the governing relations between the load and deflection, The linearity depends upon two factors.
(i) the linearity between bending moment and curvature which depends upon the linear elastic materials  In non-linear material superposition of curvatures is not possible.
(ii) the linearity between curvatures and deflection depends upon the assumption that the deflections are so small that the approximate curvature can be used in place of true curvature.
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Which one of the following statements is correct? The principle of sup...
The principle of superposition states that the displacements resulting from each of a number of forces may be added to obtain the displacements resulting from the sum of forces. This method depends upon the linearity of the governing relations between the load and deflection, The linearity depends upon two factors.
(i) the linearity between bending moment and curvature which depends upon the linear elastic materials  In non-linear material superposition of curvatures is not possible.
(ii) the linearity between curvatures and deflection depends upon the assumption that the deflections are so small that the approximate curvature can be used in place of true curvature.
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Which one of the following statements is correct? The principle of sup...
Explanation:

Principle of Superposition:
The principle of superposition states that the response of a linear elastic material to a combination of loads can be determined by adding the responses to each individual load acting alone.

Applicability:
The principle of superposition is applicable to linear elastic behavior of material and small displacement theory.

Linear Elastic Behavior:
Linear elastic behavior refers to the linear relationship between stress and strain within the material. This means that the material behaves elastically, returning to its original shape once the load is removed.

Small Displacement Theory:
Small displacement theory assumes that the deformations within the material are small enough that the linear relationship between stress and strain holds true.

Conclusion:
Therefore, the correct statement is that the principle of superposition is applicable to linear elastic behavior of material and small displacement theory. This combination allows for the accurate prediction of the material response to complex loading scenarios, making it a valuable tool in structural analysis and design.
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Which one of the following statements is correct? The principle of superposition is applicable toa)nonlinear behaviour of material and small displacement theory.b)nonlinear behaviour of material and large displacement theory.c)linear elastic behaviour of material and small displacement theory.d)linear elastic behaviour of material and large displacement theory.Correct answer is option 'C'. Can you explain this answer?
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Which one of the following statements is correct? The principle of superposition is applicable toa)nonlinear behaviour of material and small displacement theory.b)nonlinear behaviour of material and large displacement theory.c)linear elastic behaviour of material and small displacement theory.d)linear elastic behaviour of material and large displacement theory.Correct answer is option 'C'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Which one of the following statements is correct? The principle of superposition is applicable toa)nonlinear behaviour of material and small displacement theory.b)nonlinear behaviour of material and large displacement theory.c)linear elastic behaviour of material and small displacement theory.d)linear elastic behaviour of material and large displacement theory.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following statements is correct? The principle of superposition is applicable toa)nonlinear behaviour of material and small displacement theory.b)nonlinear behaviour of material and large displacement theory.c)linear elastic behaviour of material and small displacement theory.d)linear elastic behaviour of material and large displacement theory.Correct answer is option 'C'. Can you explain this answer?.
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