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Mechanical behavior of beams under large rotations and displacements was investigated. Using co-rotational approach given by Crisfield, three-dimensional beam finite element was modeled in Mathematica environment. The yielding non-linear equation system was solved by utilizing Newton -Raphson technique. Dynamic balance equations and numerical time int egration method were introduced, while the solution process was left for a future work. Comparisons with the results of ANSYS and other works indoi:10.20431/2454-9711.0402004 fatcat:2pq5ahu2bncbbchvjw5o6dgcwe