Question: Determine the stiffness matrix for the bar element with end nodes and mid length node shown in Figure P3-13. Let axial displacement u = α1

Determine the stiffness matrix for the bar element with end nodes and mid length node shown in Figure P3-13. Let axial displacement u = α1 + α2x + α3x2. (This is a higher-order element in that strain now varies linearly through the element.)
Figure P3-13
X,

X,

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