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 point A. For the displacements of the nodes shown in Figure P10-6, determine

(c) The displacement at A and

(d) The axial strain expression in the element.

Figure P10-6

(a)

(b)

A (x, = 1.5 mm) X3 = 1 mm lz = 0.001 mm X2 = 2 mm uz = 0.002 * =0 mm A (x = 2.5 mm) X = 2 mm =-0.001 mm X3 = 3 mm M3 = 0 X2 = 4 mm l2 = 0.001 mm