With the assumption that the bending rigidity of a beam is second-order differentiable with respect to the coordinate variable, the exact static deflection of a nonuniform Timoshenko beam with typical kinds of boundary conditions are given in closed form and expressed in terms of the four fundamental solutions of the governing differential equation. Finally, the limiting cases are studied and the results are shown to be consistent with those in the existing literature.
All Science Journal Classification (ASJC) codes
- Civil and Structural Engineering
- Modelling and Simulation
- Materials Science(all)
- Mechanical Engineering
- Computer Science Applications