In the finite element method, what is the main purpose of shape functions for a beam element?
Correct answer: D. To interpolate displacement within the element
- A. To prescribe the applied loading direction
- B. To calculate material density directly
- C. To eliminate support reactions
- D. To interpolate displacement within the element
Explanation
Shape functions express displacement at an interior point in terms of the element's nodal displacement degrees of freedom. They are then used to derive strains, stresses, and the element stiffness matrix.
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