Derive the spring constant expression for the simply supported beam in Figure 5.23. The Young's modulus of

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Derive the spring constant expression for the simply supported beam in Figure 5.23. The Young's modulus of the material is \(E\) and the moment of inertia of cross-sectional area is \(I\). Assume that the force \(f\) and the deflection \(x\) are at the center of the beam.

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