Retrieved from Iss. 114, P. 1, 2023
Pages 45 -54
Received 03.04.2023
Revised 15.08.2023
Accepted 20.09.2023
Retrieved from Iss. 114, P. 1, 2023
Pages 45 -54
Abstract
The Euler-Bernoulli theory (classical theory) is mainly used when beam deflections are determined. Classical theory takes into account only pure bending while transverse shear deformations are neglected. The paper examines statically determined thin-walled beams (I-beam and thin circular ring): simply supported beams and cantilevers. The load is uniformly distributed along the length of the beam and cantilever and a concentrated force applied at the center of the simply supported beam and at the edge of the cantilever. For the specified cases, as well as for round and rectangular beams, formulas for the correction coefficient were derived. The coefficient takes into account the deformation of the transverse shear. It is shown at what relative length of the thin-wallde beams, the specified deflection exceeds the classical one by more than 5%
Keywords:
Euler-Bernoulli beam, Timoshenko-Ehrenfest beam, shear deformation, classical deflection, specified deflection