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.

Figure P10-5

(a)

(b)

A (XA = 13 in.) X = 10 in. 4 =0.006 in. X3= 15 in. = 20 in, u2 =-0.006 in. A (A = 7 in.) 41 =0 = 5 in. M3 = 0.001 in. = 10 in. 42 = 0.003 in. %3!