A new numerical approach for solving Timoshenko beam problems is proposed.
The approach uses the differential quadrature method (DQM) to discretize th
e Timoshenko beam equations defined on all elements, the transition conditi
ons defined on the inter-element boundary of two adjacent elements and the
boundary conditions of Timoshenko beam structures. The resulting overall di
screte equation can be solved by using a solver of the linear algebra. Nume
rical results of the DQEM Timoshenko beam model are presented. They demonst
rate the DQEM numerical method.