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Consider a uniform beam simply supported at the ends and

Question: Consider a uniform beam simply supported at the ends and spring supported in the middle, as shown in Figure. Taking advantage of symmetry, analyze the beam using only one element. Assume the following numerical data:

L = 4m, E = 70 GPa, I = 2 x 10⁴mm⁴, k = 400 N/mm, P = 20 kN

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