Determine the stiffness matrix for the bar element with end nodes and mid length node shown in Figure P3 13 Let axial displacement u Icirc plusmn 1 Icirc plusmn 2x Icirc plusmn 3x2 (This is a higher order element in that strain now varies linearly through the element ) Figure P3 13 X,...

u 1 2 x 3 x 2 A u0 u 2 1 1 2 3 4 B ...

Determine the stiffness matrix for the bar element with end nodes and mid length node shown in

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 = Î±1 + Î±2x + Î±3x2. (This is a higher-order element in that strain now varies linearly through the element.)
Figure P3-13