Using the three-noded bar element shown in Figure P10–5 (a) and (b), with shape function...

Using the three-noded bar element shown in Figure P10–5 (a) and (b), with shape functions given by Eq. (10.5.9), determine (a) the intrinsic coordinate s at point A and (b) the shape functions, N₁, N₂, and N₃ at A. For the displacements of the nodes shown in Figure P10–5, determine (c) the displacement at A and (d) the axial strain expression in the element.