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AYj_

in which a = 4EI/L, b = 2EI/L, c = 6EI/L2, and d = 12EI/L3 2. ¿-end nonlinear and j-end linear

pb —pc —pc pa + qe —pc — qf —pc — qf pd + qg pd + qg pd + qg in which e = 3EI/L, f= 3EI/L2, and g = 3EI/L3. 3. i-end linear and j-end nonlinear

4. Both ends nonlinear

—c —c

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