Find the nodal displacements of the crane shown in Fig. 12.21 when a vertically downward load of \(4500 \mathrm{~N}\) is applied at node 4 . The Young's modulus is \(200 \mathrm{GPa}\) and the cross- sectional area is \(13 \times 10^{-4} \mathrm{~m}^{2}\) for elements 1 and 2 and \(6.5 \times 10^{-4} \mathrm{~m}^{2}\) for elements 3 and 4 .

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0.625 m Y X 1.25 m1.25 m -2.5 m- FIGURE 12.21 Crane. 2 4500 N 2.5 m