Cross-section effect on the deflections of simply supported Timoshenko nanobeams using nonlocal elasticity (original) (raw)

To know the mechanical behavior of such materials has been become important due to the wide use of onedimensional and different cross-sectional nanomaterials in nano-electro-mechanical systems (NEMS) technology. One-dimensional nanomaterials can be modelled with longitudinal mechanical elements like beams. Also, in the mechanics of nanostructures, it should be specified that formulations based on size effect are used since classical beam models do not give realistic results. With this motivation, this study examines the effect of section type on the size-dependent static deflection behavior of nano scaled beams. The nonlocal elasticity theory is used to consider the atomic size effect. In order to study the mechanical behavior of nanobeam more realistically, Timoshenko beam theory is formulated because it includes the shear effect. According to this, the differential equation of static analysis is solved for simply supported nanobeams under different load types such as uniform and concentrated. Then, deflection values and deflection ratios of nanobeams with square, circular, box, and hoop section are presented. Finally, numerical results are discussed in detail.