Question

Write the element stiffness matrix for a beam element.

(a) K=\(\frac{2EI}{l}\)

(b) K=\(\frac{2EI}{l}\begin{bmatrix}2 & 1 \\  1  &  2 \end{bmatrix}\)

(c) K=\(\frac{2E}{l}\begin{bmatrix}2 \\  1  \end{bmatrix}\)

(d) K=\(\frac{2E}{l}\begin{bmatrix}1 & 1 \\  1  &  1 \end{bmatrix}\)

I got this question in homework.

My query is from One Dimensional Problems topic in chapter One Dimensional Problems of Finite Element Method

Answer 1

The correct option is (b) K=\(\frac{2EI}{l}\begin{bmatrix}2 & 1 \\  1  &  2 \end{bmatrix}\)

The best explanation: Element stiffness matrix means it is a matrix method that makes use of the members stiffness relations for computing member forces and displacements in the structures.