Static, vibration, and buckling analysis of nanobeams is studied based on modified couple stress theory (MCST) in this chapter. The inclusion of an additional material parameter enables the new beam model to capture the size effect. The new nonclassical beam model reduces the classical beam model when the length scale parameter is set to zero. The finite element formulations are derived for static, free vibration, and buckling problems of nanobeams within MCST and the Euler‐Bernoulli beam theory. The effect of the material length scale parameter and geometry parameters on the static, vibration, and buckling responses of the nanobeam is investigated in both the classical beam theory (CBT) and MCST by using finite element method. Also, the difference between the classical beam theory (CBT) and modified couple stress theory is investigated.
Part of the book: Nanomechanics