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

Question:

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 = -0.005 in., determine

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

(d) The strain in the element.

Figure P10-2

(a)

X = 10 in. XA = 15 in. 2= 20 in.

(b)

X =5 in. XA = 7 in. X2 = 10 in.
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