Question: Derive the spring constant expression for the fixed-fixed beam in Figure 5.22. The Young's modulus of the material is (E) and the moment of inertia

Derive the spring constant expression for the fixed-fixed beam in Figure 5.22. 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.

FIGURE 5.22 Problem 12. EI L

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