Objectives 1. Verify the provided Euler-Bernoulli beam theory FE algorithm m-file template. 2. Verify the provided Timoshenko beam theory FE algorithm m-file template. 3. Conduct a mesh refinement study using both beam formulations including verification of asymptotic convergence in the energy norm using log scales for a) uniform load on entire span b) point load at the center of the beam c) the mixed loading illustrated in the problem statement 4. For loading 3c), determine the mesh necessary for the predicted maximum deflection to be accurate to 1% for each beam theory. 5. Evaluate the impact on solution accuracy of term under integration in the Timoshenko theory solution for loading 3c). 6. Compare the Timoshenko and Euler-Bernoulli beam theory solutions for efficiency regarding M requirement for engineering accuracy.
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