Graduation Semester and Year




Document Type


Degree Name

Master of Science in Aerospace Engineering


Mechanical and Aerospace Engineering

First Advisor

Ping Bo Wang


Beams are basic structural components that are capable of withstanding load primarily by resisting bending. Unlike Euler-Bernoulli beams, Timoshenko beams undergo both shear deformation and rotational effects, making it suitable for analyzing the behavior of thick or short beams, composite beams and beams that are subjected to high frequency excitation when their wave length becomes shorter. This thesis work focuses on optimal design of straight and tapered Timoshenko beams under static and dynamic constraints for rectangular and circular cross sections. In this work Timoshenko beam static and dynamic equations were studied. The finite element method was used for static and dynamic analysis of the beam. In finite element method to overcome the numerical problem in shear locking, cubic interpolation of displacement and an interdependent quadratic approximation of rotation has been considered.In order to optimize the weight of the beam with static and dynamic constraints three sets of optimizations were done. The design variables are length, cross sectional width and height, with objective function as mass, static deflection constraints were used. The second optimization set was using dynamic constraints and the last set was using both static and dynamic constraints.


Aerospace Engineering | Engineering | Mechanical Engineering


Degree granted by The University of Texas at Arlington