For the elements shown in Figure P9-1, evaluate the stiffness matrices using Eq. (9.2.2). The coordinates are

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For the elements shown in Figure P9-1, evaluate the stiffness matrices using Eq. (9.2.2). The coordinates are shown in the figures. Let E = 15 × 106 psi and v = 0.25 for each element.

Figure P9-1

(a)

3 (0. 2) (0, 0) (2. 0)

(b)

(2. 2) (0, 0) 1 (2, 0) 2.

(c)

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