A Timoshenko Beam extends the Euler-Bernoulli Beam to incorporate the effects of shear deformation. Shear deformation becomes negligible as a beamâ€™s span:depth ratio increases so can often be ignored.

FEA

LUSAS refers to a Timoshenko Beam as a Thick Beam. In SAP2000 all beam elements are Timoshenko beams, although the documentation refers to them as the Bathe and Wilson beam-column formulation, the difference is only in the calculation of the shear correction factor, \(k\).

Lateral vibration

See Equation 139 of Vibration Problems in Engineering, Timoshenko S. (1937).