Structural Mechanics: Nonuniform Torsion

This lecture covers nonuniform torsion, torsion in noncircular prismatic members, and thin-walled cross sections. It explains the strain energy, torsional constants, and examples related to nonuniform torsion cases. The lecture also discusses the torsion of noncircular prismatic members, including cases with continuously varying cross sections and torques. It delves into the strain energy in torsion and pure shear, demonstrating the angle of twist and the work done by torque. Additionally, it explores the torsion of rectangular and elliptical prismatic members, thin-walled tubes, and shear flow in thin-walled tubes. Practical examples, such as box girders in bridges, are presented to illustrate enhanced torsional resistance.