Consider a long thin, elastic beam such as a microtubule with a compressive force F applied at each end.

| February 14, 2018

Consider a long thin, elastic beam such as a microtubule with a compressive force F applied at each end.The beam can sustain compressive forces such as occur under confinement in a cell. However above somecritical value Fcrit the beam will buckle. Assuming that the buckled beam has constant curvature Rdetermine Fcrit.a) Write down the total mechanical energy of the beam under compressive force in terms of thepersistence length of the beam ξp, the bending angle θ and the applied force F. …

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