Consider a system of two springs, with stiffnesses \(k_{1}\) and \(k_{2}\), arranged in parallel as shown in Fig. 1.68. The rigid bar to which the two springs are connected remains horizontal when the

force \(F\) is zero. Determine the equivalent spring constant of the system \(\left(k_{e}\right)\) that relates the force applied \((F)\) to the resulting displacement \((x)\) as \[F=k_{e} x\]

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k 000000000000 4- F X 0000000000 FIGURE 1.68 Parallel springs subjected to load.