Answer the same questions as posed in problem 10.2 with the data listed under the Figure P10-3.

Data from Problem 10.2

For the two-noded one-dimensional isoparametric element shown in Figure P10–2 (a) and (b), with shape functions given by Eq. (10.1.5), determine

(a) Intrinsic coordinate s at point A and

(b) Shape functions N₁ and N₂ at point A. If the displacements at nodes one and two are respectively, u₁ = 0.005 in. and u₂ = – 20.005 in., determine

(c) The value of the displacement at point A and

(d) The strain in the element.

Figure P10-3

(a)

(b)

X = 20 mm u1 = 0.1 mm XA = 50 mm 42 = 0.2 mm X1 = 10 mm u = 0.05 mm XA = 20 mm X2 = 30 mm 42 = 0.1 mm