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Civil Engineering QUESTION #6590
Question 1
A continuous beam covering two spans is to be analysed using the stiffness matrix method, with two nodes assigned per element. The order of the resulting structural stiffness matrix will be:
  • 2×2
  • 4×4
  • 6×6✔️
  • 12×12
Correct Answer Explanation
With 2 spans (2 elements) and 2 nodes per element, there are 3 unique nodes. Each beam node has 2 DOFs (vertical displacement and rotation), giving \(3 \times 2 = 6\) DOFs. Structural stiffness matrix order \(= 6 \times 6\).