Four rigid bodies, 1, 2, 3, and 4, are connected by four springs as shown in the

Question:

Four rigid bodies, 1, 2, 3, and 4, are connected by four springs as shown in the figure. A horizontal force of \(1,000 \mathrm{~N}\) is applied on body 1 as shown in the figure. Using FE analysis, (a) find the displacements of bodies 1 and 3, (2) find the element force (tensile/compressive) of spring 1, and (3) find the reaction force at the right wall (body 2). Assume the bodies can undergo only translation in the horizontal direction. The spring constants \((\mathrm{N} / \mathrm{mm})\) are: \(k^{(1)}=500, k^{(2)}=300, k^{(3)}=400\), and \(k^{(4)}=300\). Do not change node and element numbers.

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