Numerical solution of the frequency equations for the flexural vibration of cylindrical rods

A numeri cal so lu tion of Pickett's fr cq uency cquat ion s for the fl ex ural vib"at ion of cylindrical r ods, based on the th ree-dimensional differentia l equations of elast icity, has been obtained on the IBM 704 compute r. The res ults are prese nted in the form of tab les of correction factors to be ap plied to the t hin rod app roximat ion for t he fund a me nta l flexural resonance frcq uency and the firs t two overton es . These resul ts prov idc an acc urate mean s of calcu lating Young's modu lus from th e dcns it.v, dim ens ions, a nci " e~onanc e frcqu encies of cyli nd ri cal rods havin g diameter-to-lengt h raL ios as hi g h as 0.6.