VISCOELASTIC TIMOSHENKO BEAM SOLUTIONS FROM EULER-BERNOULLI SOLUTIONS

This study presents exact relationships between the bending solutions of linear viscoelastic Timoshenko beams and linear viscoelastic Euler- Bernoulli beams under quasi-static loadings. The relationships provide a direct conversion of well-known Euler-Bernoulli solutions to that o f Timoshenko solutions without further need for a more complicated she ar deformable analysis. They should be useful to engineers designing s hear deformable beam constructed from viscoelastic materials or exhibi ting viscoelastic behavior Further, they provide valuable exact soluti ons for checking the validity, convergence, and accuracy of numerical results and software for the bending analysis of linear viscoelastic T imoshenko beams.