Problem 3: For the beam-spring system shown below with Young's modulus E and moment of inertia of I. Concentrated force P is acting at Point C, which is at the middle of B and D. Spring constant is k. Determine the vertical defection at the free end point D using Castigliano's theorem.
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The beam is supported at point A and has a spring with constant \( k \) at point B. A force \( P \) is applied at point C, which is the midpoint between B and D. The length between each point (A to B, B to C, C to D) is \( a \). Show more…
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