A closed-form formula for the critical buckling load of a bar with one end fixed and the other pinned

• Main Authors: Anastasselou, Eleni, Ioakimidis, Nikolaos
• Other Authors: Αναστασέλου, Ελένη
• Format: Technical Report
• Language: English
• Published: 2018
• Subjects: Bars; Buckling; Critical buckling load; Roots; Zeros; Closed-form formulae; Closed-form solutions; Transcendental equations; Cauchy Theorem; Complex analysis; Ράβδοι; Λυγισμός; Κρίσιμο φορτίο λυγισμού; Ρίζες; Μηδενικά; Τύποι κλειστής μορφής; Λύσεις κλειστής μορφής; Υπερβατικές εξισώσεις; Θεώρημα του Cauchy; Μιγαδική ανάλυση

The classical problem of elastic buckling of a bar with one end fixed and the other pinned is reconsidered and a closed-form formula for the critical buckling load is derived. This is achieved through the closed-form solution (in terms of two regular integrals) of the transcendental equation tan u =...