Question:medium

What is the stiffness matrix for the beam shown in the figure (fixed at one end, guided roller at the other)?

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For standard 1D beam elements, axial and flexural effects are uncoupled. This means the off-diagonal terms in the stiffness matrix related to axial force vs. rotation will always be zero.
Updated On: May 20, 2026
  • $\begin{bmatrix} \frac{AE}{L} & \frac{4EI}{L} \\ 0 & 0 \end{bmatrix}$
  • $\begin{bmatrix} \frac{AE}{L} & 0 \\ \frac{3EI}{L} & 0 \end{bmatrix}$
  • $\begin{bmatrix} \frac{AE}{L} & 0 \\ 0 & \frac{4EI}{L} \end{bmatrix}$
  • $\begin{bmatrix} 0 & \frac{4EI}{L} \\ 0 & \frac{AE}{L} \end{bmatrix}$
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The Correct Option is C

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